Compare commits

...

51 Commits

Author SHA1 Message Date
1afd71b97b Make test/ a standalone project 2023-05-19 15:27:54 -05:00
6db2ca76e8 Fix formatting 2023-05-19 10:40:25 -05:00
4adb3344ac Profiled units: minor changes 2023-05-19 10:38:35 -05:00
Jun He
316d0bdf5a added profiled units in slice 2023-05-05 14:48:42 -04:00
Jun He
33f8ec26d5 renamed capacity to max_power 2023-05-05 14:48:15 -04:00
Jun He
41790db448 new test case gz file 2023-04-22 14:09:40 -04:00
Jun He
baf529a15d added commitment status to thermal 2023-04-22 14:02:03 -04:00
Jun He
b71a1c3d5f Updated randomize, validate and initial conditions 2023-04-07 16:42:03 -04:00
Jun He
bea42d174c Reformatted code 2023-04-06 16:21:58 -04:00
Jun He
896ef0f3e3 Added min power, fixed typo 2023-04-06 16:16:30 -04:00
Jun He
cb7f9e3b27 Added minimum power to profiled generator 2023-04-06 16:16:04 -04:00
319a787904 Merge pull request #26 from hejun0524/dev
LMP Methods & Profiled Units
2023-04-06 13:11:04 -05:00
b1c963f217 Rename 'production' to 'thermal production' 2023-04-04 15:59:41 -05:00
19534a128f Rename Unit to ThermalUnit 2023-04-04 15:40:44 -05:00
Jun He
51f6aa9a80 Create case14-profiled.json.gz 2023-03-31 15:19:46 -04:00
Jun He
f2c0388cac Updated the docs 2023-03-31 15:11:59 -04:00
Jun He
3564358a63 Re-formatted the codes 2023-03-31 15:11:47 -04:00
Jun He
b2ed0f67c1 Added the profiled units 2023-03-31 15:11:37 -04:00
Jun He
2a6c206e08 updated LMP for UC scenario 2023-03-30 23:19:24 -04:00
Jun He
30a4284119 Merge remote-tracking branch 'upstream/dev' into dev 2023-03-30 14:35:09 -04:00
Jun He
71ed55cb40 Formatted codes on the LMP dev branch 2023-03-30 14:30:10 -04:00
Jun He
0b95df25ec typo fix in generator json example 2023-03-24 10:56:41 -04:00
Jun He
5f5c8b66eb more condition checking on AELMP 2023-03-19 14:28:39 -04:00
52f1ff9a27 Merge pull request #25 from oyurdakul/stochastic-extension
stochastic extension w/ scenarios
2023-03-16 12:10:13 -05:00
414128cc0b Correct optimize!, add stochastic test case 2023-03-16 12:03:40 -05:00
20939dc4b7 Minor edits to instance/structs.jl 2023-03-16 10:43:30 -05:00
d8741f04a0 Minor edits to instance/read.jl 2023-03-16 10:38:08 -05:00
3b6d810884 Remove duplicate format.jl file 2023-03-16 10:24:31 -05:00
204c5d900f Remove unused dependency 2023-03-16 10:23:40 -05:00
cb9334c0a3 Minor changes to tests 2023-03-16 10:21:31 -05:00
31e0613134 Remove unused dependency & debug statements 2023-03-16 10:09:01 -05:00
4827c29230 Add Jun to authors 2023-03-15 12:41:09 -05:00
19e84bac07 Reformat source code 2023-03-15 12:27:43 -05:00
d7d2a3fcf6 AELMP: Convert warnings into errors; update docstrings 2023-03-15 12:23:18 -05:00
784ebfa199 ConventionalLMP: turn warnings into errors, remove some inline comments 2023-03-15 12:15:57 -05:00
d2e11eee42 Flatten dir structure, update docstrings 2023-03-15 12:08:35 -05:00
34ca6952fb Revise docs 2023-03-15 11:34:50 -05:00
Jun He
bc3aee38f8 modified the tests for LMP and AELMP 2023-03-08 13:35:33 -05:00
Jun He
415732f0ec updated the doc with LMP and AELMP 2023-03-08 13:34:10 -05:00
Jun He
5c91dc2ac9 re-designed the LMP methods
The LMP and AELMP methods are re-designed to be dependent on the instance object instead of input files, and to have a unified API style for purposes of flexibility and consistency.
2023-03-08 13:33:47 -05:00
oyurdakul
ad4a754d63 read and repair scenario 2023-03-06 17:07:54 -06:00
oyurdakul
481f5a904c read and repair scenario 2023-03-06 17:03:34 -06:00
oyurdakul
7e8a2ee026 stochastic extension 2023-02-22 12:44:46 -06:00
oyurdakul
c95b01dadf stochastic extension w/ scenarios 2023-02-08 23:46:10 -06:00
Feng
8fc84412eb Update README.md
minor corrections on grammer.
2022-08-19 11:03:21 -05:00
6573bb7ea2 Update README.md 2022-07-18 09:54:15 -06:00
1769f2a932 Project.toml: Remove Revise.jl 2022-07-18 09:42:00 -06:00
4dc39363e8 Update references, copyright notices, links 2022-07-18 09:40:52 -06:00
5fef01cd99 Improve docs 2022-07-17 15:50:42 -06:00
18daaf5358 Switch to Documenter.jl 2022-07-17 14:44:58 -06:00
b68b4ff9e4 Update CHANGELOG and docs 2022-07-13 10:14:42 -05:00
102 changed files with 3234 additions and 2072 deletions

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@@ -1,4 +1,4 @@
name: Tests name: Build & Test
on: on:
push: push:
pull_request: pull_request:
@@ -6,19 +6,30 @@ on:
- cron: '45 10 * * *' - cron: '45 10 * * *'
jobs: jobs:
test: test:
name: Julia ${{ matrix.version }} - ${{ matrix.os }} - ${{ matrix.arch }}
runs-on: ${{ matrix.os }} runs-on: ${{ matrix.os }}
strategy: strategy:
matrix: matrix:
julia-version: ['1.6', '1.7'] version: ['1.6', '1.7', '1.8', '1.9']
julia-arch: [x64] os:
os: [ubuntu-latest, windows-latest, macOS-latest] - ubuntu-latest
exclude: arch:
- os: macOS-latest - x64
julia-arch: x86
steps: steps:
- uses: actions/checkout@v2 - uses: actions/checkout@v2
- uses: julia-actions/setup-julia@latest - uses: julia-actions/setup-julia@v1
with: with:
version: ${{ matrix.julia-version }} version: ${{ matrix.version }}
- uses: julia-actions/julia-buildpkg@latest arch: ${{ matrix.arch }}
- uses: julia-actions/julia-runtest@latest - name: Run tests
shell: julia --color=yes --project=test {0}
run: |
using Pkg
Pkg.develop(path=".")
Pkg.update()
using UnitCommitmentT
try
runtests()
catch
exit(1)
end

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@@ -11,15 +11,19 @@ All notable changes to this project will be documented in this file.
[semver]: https://semver.org/spec/v2.0.0.html [semver]: https://semver.org/spec/v2.0.0.html
[pkjjl]: https://pkgdocs.julialang.org/v1/compatibility/#compat-pre-1.0 [pkjjl]: https://pkgdocs.julialang.org/v1/compatibility/#compat-pre-1.0
## [Unreleased] ## [0.3.0] - 2022-07-18
### Added ### Added
- Add multiple reserve products - Add support for multiple reserve products and zonal reserves.
- Add flexiramp reserve products, following WanHob2016's formulation (@oyurdakul, #21).
- Add 365 variations for each MATPOWER instance, corresponding to each day of the year.
### Changed ### Changed
- To support multiple reserve products, the input data format has been modified as follows: - To support multiple/zonal reserves, the input data format has been modified as follows:
- In `Generators`, replace `Provides spinning reserves?` by `Reserve eligibility` - In `Generators`, replace `Provides spinning reserves?` by `Reserve eligibility`
- In `Parameters`, remove `Reserve shortfall penalty` - In `Parameters`, remove `Reserve shortfall penalty`
- Revise `Reserves` section - Revise `Reserves` section
- To allow new versions of UnitCommitment.jl to read old instance files, a new required field `Version` has been added to the `Parameters` section. To load v0.2 files in v0.3, please add `{"Parameters":{"Version":"0.2"}}` to the file.
- Benchmark test cases are now downloaded on-the-fly as needed, instead of being stored in our GitHub repository. Test cases can also be directly downloaded from: https://axavier.org/UnitCommitment.jl/
## [0.2.2] - 2021-07-21 ## [0.2.2] - 2021-07-21

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@@ -1,4 +1,4 @@
Copyright © 2020, UChicago Argonne, LLC Copyright © 2020-2022, UChicago Argonne, LLC
All Rights Reserved All Rights Reserved

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@@ -4,20 +4,8 @@
VERSION := 0.3 VERSION := 0.3
clean:
rm -rfv build Manifest.toml test/Manifest.toml deps/formatter/build deps/formatter/Manifest.toml
docs: docs:
cd docs; make clean; make dirhtml cd docs; julia --project=. make.jl; cd ..
rsync -avP --delete-after docs/_build/dirhtml/ ../docs/$(VERSION)/ rsync -avP --delete-after docs/build/ ../docs/$(VERSION)/
format: .PHONY: docs
cd deps/formatter; ../../juliaw format.jl
test: test/Manifest.toml
./juliaw test/runtests.jl
test/Manifest.toml: test/Project.toml
julia --project=test -e "using Pkg; Pkg.instantiate()"
.PHONY: docs test format install-deps

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@@ -17,7 +17,6 @@ MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
PackageCompiler = "9b87118b-4619-50d2-8e1e-99f35a4d4d9d" PackageCompiler = "9b87118b-4619-50d2-8e1e-99f35a4d4d9d"
Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7" Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7"
Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
Revise = "295af30f-e4ad-537b-8983-00126c2a3abe"
SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
[compat] [compat]

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@@ -87,20 +87,22 @@ UnitCommitment.write("/tmp/output.json", solution)
## Documentation ## Documentation
1. [Usage](https://anl-ceeesa.github.io/UnitCommitment.jl/0.2/usage/) 1. [Usage](https://anl-ceeesa.github.io/UnitCommitment.jl/0.3/usage/)
2. [Data Format](https://anl-ceeesa.github.io/UnitCommitment.jl/0.2/format/) 2. [Data Format](https://anl-ceeesa.github.io/UnitCommitment.jl/0.3/format/)
3. [Instances](https://anl-ceeesa.github.io/UnitCommitment.jl/0.2/instances/) 3. [Instances](https://anl-ceeesa.github.io/UnitCommitment.jl/0.3/instances/)
4. [JuMP Model](https://anl-ceeesa.github.io/UnitCommitment.jl/0.2/model/) 4. [JuMP Model](https://anl-ceeesa.github.io/UnitCommitment.jl/0.3/model/)
5. [API Reference](https://anl-ceeesa.github.io/UnitCommitment.jl/0.3/api/)
## Authors ## Authors
* **Alinson S. Xavier** (Argonne National Laboratory) * **Alinson S. Xavier** (Argonne National Laboratory)
* **Aleksandr M. Kazachkov** (University of Florida) * **Aleksandr M. Kazachkov** (University of Florida)
* **Ogün Yurdakul** (Technische Universität Berlin) * **Ogün Yurdakul** (Technische Universität Berlin)
* **Jun He** (Purdue University)
* **Feng Qiu** (Argonne National Laboratory) * **Feng Qiu** (Argonne National Laboratory)
## Acknowledgments ## Acknowledgments
* We would like to **Yonghong Chen** (Midcontinent Independent System Operator), **Feng Pan** (Pacific Northwest National Laboratory) for valuable feedback on early versions of this package. * We would like to thank **Yonghong Chen** (Midcontinent Independent System Operator), **Feng Pan** (Pacific Northwest National Laboratory) for valuable feedback on early versions of this package.
* Based upon work supported by **Laboratory Directed Research and Development** (LDRD) funding from Argonne National Laboratory, provided by the Director, Office of Science, of the U.S. Department of Energy under Contract No. DE-AC02-06CH11357 * Based upon work supported by **Laboratory Directed Research and Development** (LDRD) funding from Argonne National Laboratory, provided by the Director, Office of Science, of the U.S. Department of Energy under Contract No. DE-AC02-06CH11357
@@ -110,15 +112,15 @@ UnitCommitment.write("/tmp/output.json", solution)
If you use UnitCommitment.jl in your research (instances, models or algorithms), we kindly request that you cite the package as follows: If you use UnitCommitment.jl in your research (instances, models or algorithms), we kindly request that you cite the package as follows:
* **Alinson S. Xavier, Aleksandr M. Kazachkov, Feng Qiu**. "UnitCommitment.jl: A Julia/JuMP Optimization Package for Security-Constrained Unit Commitment". Zenodo (2020). [DOI: 10.5281/zenodo.4269874](https://doi.org/10.5281/zenodo.4269874). * **Alinson S. Xavier, Aleksandr M. Kazachkov, Ogün Yurdakul, Feng Qiu**. "UnitCommitment.jl: A Julia/JuMP Optimization Package for Security-Constrained Unit Commitment (Version 0.3)". Zenodo (2022). [DOI: 10.5281/zenodo.4269874](https://doi.org/10.5281/zenodo.4269874).
If you use the instances, we additionally request that you cite the original sources, as described in the [instances page](docs/instances.md). If you use the instances, we additionally request that you cite the original sources, as described in the documentation.
## License ## License
```text ```text
UnitCommitment.jl: A Julia/JuMP Optimization Package for Security-Constrained Unit Commitment UnitCommitment.jl: A Julia/JuMP Optimization Package for Security-Constrained Unit Commitment
Copyright © 2020-2021, UChicago Argonne, LLC. All Rights Reserved. Copyright © 2020-2022, UChicago Argonne, LLC. All Rights Reserved.
Redistribution and use in source and binary forms, with or without modification, are permitted Redistribution and use in source and binary forms, with or without modification, are permitted
provided that the following conditions are met: provided that the following conditions are met:

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@@ -1,5 +0,0 @@
[deps]
JuliaFormatter = "98e50ef6-434e-11e9-1051-2b60c6c9e899"
[compat]
JuliaFormatter = "0.14.4"

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@@ -1,9 +0,0 @@
using JuliaFormatter
format(
[
"../../src",
"../../test",
"../../benchmark/run.jl",
],
verbose=true,
)

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@@ -1,14 +0,0 @@
SPHINXOPTS ?=
SPHINXBUILD ?= sphinx-build
SOURCEDIR = .
BUILDDIR = _build
help:
@$(SPHINXBUILD) -M help "$(SOURCEDIR)" "$(BUILDDIR)" $(SPHINXOPTS) $(O)
.PHONY: help Makefile
# Catch-all target: route all unknown targets to Sphinx using the new
# "make mode" option. $(O) is meant as a shortcut for $(SPHINXOPTS).
%: Makefile
@$(SPHINXBUILD) -M $@ "$(SOURCEDIR)" "$(BUILDDIR)" $(SPHINXOPTS) $(O)

5
docs/Project.toml Normal file
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@@ -0,0 +1,5 @@
[deps]
Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
JuMP = "4076af6c-e467-56ae-b986-b466b2749572"
Revise = "295af30f-e4ad-537b-8983-00126c2a3abe"
UnitCommitment = "64606440-39ea-11e9-0f29-3303a1d3d877"

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@@ -1,49 +0,0 @@
h1.site-logo {
font-size: 30px !important;
}
h1.site-logo small {
font-size: 20px !important;
}
h1.site-logo {
font-size: 30px !important;
}
h1.site-logo small {
font-size: 20px !important;
}
tbody, thead, pre {
border: 1px solid rgba(0, 0, 0, 0.25);
}
table td, th {
padding: 8px;
}
table p {
margin-bottom: 0;
}
table td code {
white-space: nowrap;
}
table tr,
table th {
border-bottom: 1px solid rgba(0, 0, 0, 0.1);
}
table tr:last-child {
border-bottom: 0;
}
pre {
box-shadow: inherit !important;
background-color: #fff;
}
.text-align\:center {
text-align: center;
}

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@@ -1,16 +0,0 @@
project = "UnitCommitment.jl"
copyright = "2020-2022, UChicago Argonne, LLC"
author = ""
release = "0.3"
extensions = ["myst_parser"]
templates_path = ["_templates"]
exclude_patterns = ["_build", "Thumbs.db", ".DS_Store"]
html_theme = "sphinx_book_theme"
html_static_path = ["_static"]
html_css_files = ["custom.css"]
html_theme_options = {
"repository_url": "https://github.com/ANL-CEEESA/UnitCommitment.jl/",
"use_repository_button": False,
"extra_navbar": "",
}
html_title = f"UnitCommitment.jl<br/><small>{release}</small>"

16
docs/make.jl Normal file
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@@ -0,0 +1,16 @@
using Documenter, UnitCommitment, JuMP
makedocs(
sitename="UnitCommitment.jl",
pages=[
"Home" => "index.md",
"usage.md",
"format.md",
"instances.md",
"model.md",
"api.md",
],
format = Documenter.HTML(
assets=["assets/custom.css"],
)
)

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@@ -1,4 +0,0 @@
Sphinx==3.5.4
sphinx-book-theme==0.1.0
myst-parser==0.14.0
Jinja2==3.0.2

62
docs/src/api.md Normal file
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@@ -0,0 +1,62 @@
# API Reference
## Read data, build model & optimize
```@docs
UnitCommitment.read
UnitCommitment.read_benchmark
UnitCommitment.build_model
UnitCommitment.optimize!
UnitCommitment.solution
UnitCommitment.validate
UnitCommitment.write
```
## Locational Marginal Prices
### Conventional LMPs
```@docs
UnitCommitment.compute_lmp(::JuMP.Model,::UnitCommitment.ConventionalLMP)
```
### Approximated Extended LMPs
```@docs
UnitCommitment.AELMP
UnitCommitment.compute_lmp(::JuMP.Model,::UnitCommitment.AELMP)
```
## Modify instance
```@docs
UnitCommitment.slice
UnitCommitment.randomize!(::UnitCommitment.UnitCommitmentInstance)
UnitCommitment.generate_initial_conditions!
```
## Formulations
```@docs
UnitCommitment.Formulation
UnitCommitment.ShiftFactorsFormulation
UnitCommitment.ArrCon2000
UnitCommitment.CarArr2006
UnitCommitment.DamKucRajAta2016
UnitCommitment.Gar1962
UnitCommitment.KnuOstWat2018
UnitCommitment.MorLatRam2013
UnitCommitment.PanGua2016
UnitCommitment.WanHob2016
```
## Solution Methods
```@docs
UnitCommitment.XavQiuWanThi2019.Method
```
## Randomization Methods
```@docs
UnitCommitment.XavQiuAhm2021.Randomization
```

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@@ -0,0 +1,36 @@
@media screen and (min-width: 1056px) {
#documenter .docs-main {
max-width: 65rem !important;
}
}
tbody, thead, pre {
border: 1px solid rgba(0, 0, 0, 0.25);
}
table td, th {
padding: 8px;
}
table p {
margin-bottom: 0;
}
table td code {
white-space: nowrap;
}
table tr,
table th {
border-bottom: 1px solid rgba(0, 0, 0, 0.1);
}
table tr:last-child {
border-bottom: 0;
}
code {
background-color: transparent;
color: rgb(232, 62, 140);
}

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@@ -1,32 +1,20 @@
```{sectnum}
---
start: 2
depth: 2
suffix: .
---
```
Data Format Data Format
=========== ===========
Input Data Format Input Data Format
----------------- -----------------
Instances are specified by JSON files containing the following main sections: Instances are specified by JSON files containing the following main sections:
* Parameters * [Parameters](#Parameters)
* Buses * [Buses](#Buses)
* Generators * [Generators](#Generators)
* Price-sensitive loads * [Price-sensitive loads](#Price-sensitive-loads)
* Transmission lines * [Transmission lines](#Transmission-lines)
* Reserves * [Reserves](#Reserves)
* Contingencies * [Contingencies](#Contingencies)
Each section is described in detail below. See [case118/2017-01-01.json.gz][example] for a complete example. Each section is described in detail below. See [case118/2017-01-01.json.gz](https://axavier.org/UnitCommitment.jl/0.3/instances/matpower/case118/2017-01-01.json.gz) for a complete example.
[example]: https://axavier.org/UnitCommitment.jl/0.3/instances/matpower/case118/2017-01-01.json.gz
### Parameters ### Parameters
@@ -34,6 +22,7 @@ This section describes system-wide parameters, such as power balance penalty, an
| Key | Description | Default | Time series? | Key | Description | Default | Time series?
| :----------------------------- | :------------------------------------------------ | :------: | :------------: | :----------------------------- | :------------------------------------------------ | :------: | :------------:
| `Version` | Version of UnitCommitment.jl this file was written for. Required to ensure that the file remains readable in future versions of the package. If you are following this page to construct the file, this field should equal `0.3`. | Required | N
| `Time horizon (h)` | Length of the planning horizon (in hours). | Required | N | `Time horizon (h)` | Length of the planning horizon (in hours). | Required | N
| `Time step (min)` | Length of each time step (in minutes). Must be a divisor of 60 (e.g. 60, 30, 20, 15, etc). | `60` | N | `Time step (min)` | Length of each time step (in minutes). Must be a divisor of 60 (e.g. 60, 30, 20, 15, etc). | `60` | N
| `Power balance penalty ($/MW)` | Penalty for system-wide shortage or surplus in production (in $/MW). This is charged per time step. For example, if there is a shortage of 1 MW for three time steps, three times this amount will be charged. | `1000.0` | Y | `Power balance penalty ($/MW)` | Penalty for system-wide shortage or surplus in production (in $/MW). This is charged per time step. For example, if there is a shortage of 1 MW for three time steps, three times this amount will be charged. | `1000.0` | Y
@@ -43,8 +32,9 @@ This section describes system-wide parameters, such as power balance penalty, an
```json ```json
{ {
"Parameters": { "Parameters": {
"Version": "0.3",
"Time horizon (h)": 4, "Time horizon (h)": 4,
"Power balance penalty ($/MW)": 1000.0, "Power balance penalty ($/MW)": 1000.0
} }
} }
``` ```
@@ -80,11 +70,17 @@ This section describes the characteristics of each bus in the system.
### Generators ### Generators
This section describes all generators in the system, including thermal units, renewable units and virtual units. This section describes all generators in the system. Two types of units can be specified:
- **Thermal units:** Units that produce power by converting heat into electrical energy, such as coal and oil power plants. These units use a more complex model, with binary decision variables, and various constraints to enforce ramp rates and minimum up/down time.
- **Profiled units:** Simplified model for units that do not require the constraints mentioned above, only a maximum and minimum power output for each time period. Typically used for renewables and hydro.
#### Thermal Units
| Key | Description | Default | Time series? | Key | Description | Default | Time series?
| :------------------------ | :------------------------------------------------| ------- | :-----------: | :------------------------ | :------------------------------------------------| ------- | :-----------:
| `Bus` | Identifier of the bus where this generator is located (string). | Required | N | `Bus` | Identifier of the bus where this generator is located (string). | Required | N
| `Type` | Type of the generator (string). For thermal generators, this must be `Thermal`. | Required | N
| `Production cost curve (MW)` and `Production cost curve ($)` | Parameters describing the piecewise-linear production costs. See below for more details. | Required | Y | `Production cost curve (MW)` and `Production cost curve ($)` | Parameters describing the piecewise-linear production costs. See below for more details. | Required | Y
| `Startup costs ($)` and `Startup delays (h)` | Parameters describing how much it costs to start the generator after it has been shut down for a certain amount of time. If `Startup costs ($)` and `Startup delays (h)` are set to `[300.0, 400.0]` and `[1, 4]`, for example, and the generator is shut down at time `00:00` (h:min), then it costs \$300 to start up the generator at any time between `01:00` and `03:59`, and \$400 to start the generator at time `04:00` or any time after that. The number of startup cost points is unlimited, and may be different for each generator. Startup delays must be strictly increasing and the first entry must equal `Minimum downtime (h)`. | `[0.0]` and `[1]` | N | `Startup costs ($)` and `Startup delays (h)` | Parameters describing how much it costs to start the generator after it has been shut down for a certain amount of time. If `Startup costs ($)` and `Startup delays (h)` are set to `[300.0, 400.0]` and `[1, 4]`, for example, and the generator is shut down at time `00:00` (h:min), then it costs \$300 to start up the generator at any time between `01:00` and `03:59`, and \$400 to start the generator at time `04:00` or any time after that. The number of startup cost points is unlimited, and may be different for each generator. Startup delays must be strictly increasing and the first entry must equal `Minimum downtime (h)`. | `[0.0]` and `[1]` | N
| `Minimum uptime (h)` | Minimum amount of time the generator must stay operational after starting up (in hours). For example, if the generator starts up at time `00:00` (h:min) and `Minimum uptime (h)` is set to 4, then the generator can only shut down at time `04:00`. | `1` | N | `Minimum uptime (h)` | Minimum amount of time the generator must stay operational after starting up (in hours). For example, if the generator starts up at time `00:00` (h:min) and `Minimum uptime (h)` is set to 4, then the generator can only shut down at time `04:00`. | `1` | N
@@ -97,17 +93,30 @@ This section describes all generators in the system, including thermal units, re
| `Initial power (MW)` | Amount of power the generator at time step `-1`, immediately before the planning horizon starts. | Required | N | `Initial power (MW)` | Amount of power the generator at time step `-1`, immediately before the planning horizon starts. | Required | N
| `Must run?` | If `true`, the generator should be committed, even if that is not economical (Boolean). | `false` | Y | `Must run?` | If `true`, the generator should be committed, even if that is not economical (Boolean). | `false` | Y
| `Reserve eligibility` | List of reserve products this generator is eligibe to provide. By default, the generator is not eligible to provide any reserves. | `[]` | N | `Reserve eligibility` | List of reserve products this generator is eligibe to provide. By default, the generator is not eligible to provide any reserves. | `[]` | N
| `Commitment status` | List of commitment status over the time horizon. At time `t`, if `true`, the generator must be commited at that time period; if `false`, the generator must not be commited at that time period. If `null` at time `t`, the generator's commitment status is then decided by the model. By default, the status is a list of `null` values. | `null` | Y
#### Profiled Units
| Key | Description | Default | Time series?
| :---------------- | :------------------------------------------------ | :------: | :------------:
| `Bus` | Identifier of the bus where this generator is located (string). | Required | N
| `Type` | Type of the generator (string). For profiled generators, this must be `Profiled`. | Required | N
| `Cost ($/MW)` | Cost incurred for serving each MW of power by this generator. | Required | Y
| `Minimum power (MW)` | Minimum amount of power this generator may supply. | `0.0` | Y
| `Maximum power (MW)` | Maximum amount of power this generator may supply. | Required | Y
#### Production costs and limits #### Production costs and limits
Production costs are represented as piecewise-linear curves. Figure 1 shows an example cost curve with three segments, where it costs \$1400, \$1600, \$2200 and \$2400 to generate, respectively, 100, 110, 130 and 135 MW of power. To model this generator, `Production cost curve (MW)` should be set to `[100, 110, 130, 135]`, and `Production cost curve ($)` should be set to `[1400, 1600, 2200, 2400]`. Production costs are represented as piecewise-linear curves. Figure 1 shows an example cost curve with three segments, where it costs \$1400, \$1600, \$2200 and \$2400 to generate, respectively, 100, 110, 130 and 135 MW of power. To model this generator, `Production cost curve (MW)` should be set to `[100, 110, 130, 135]`, and `Production cost curve ($)` should be set to `[1400, 1600, 2200, 2400]`.
Note that this curve also specifies the production limits. Specifically, the first point identifies the minimum power output when the unit is operational, while the last point identifies the maximum power output. Note that this curve also specifies the production limits. Specifically, the first point identifies the minimum power output when the unit is operational, while the last point identifies the maximum power output.
```@raw html
<center> <center>
<img src="../_static/cost_curve.png" style="max-width: 500px"/> <img src="../assets/cost_curve.png" style="max-width: 500px"/>
<div><b>Figure 1.</b> Piecewise-linear production cost curve.</div> <div><b>Figure 1.</b> Piecewise-linear production cost curve.</div>
<br/> <br/>
</center> </center>
```
#### Additional remarks: #### Additional remarks:
@@ -123,6 +132,7 @@ Note that this curve also specifies the production limits. Specifically, the fir
"Generators": { "Generators": {
"gen1": { "gen1": {
"Bus": "b1", "Bus": "b1",
"Type": "Thermal",
"Production cost curve (MW)": [100.0, 110.0, 130.0, 135.0], "Production cost curve (MW)": [100.0, 110.0, 130.0, 135.0],
"Production cost curve ($)": [1400.0, 1600.0, 2200.0, 2400.0], "Production cost curve ($)": [1400.0, 1600.0, 2200.0, 2400.0],
"Startup costs ($)": [300.0, 400.0], "Startup costs ($)": [300.0, 400.0],
@@ -134,14 +144,26 @@ Note that this curve also specifies the production limits. Specifically, the fir
"Minimum downtime (h)": 4, "Minimum downtime (h)": 4,
"Minimum uptime (h)": 4, "Minimum uptime (h)": 4,
"Initial status (h)": 12, "Initial status (h)": 12,
"Initial power (MW)": 115,
"Must run?": false, "Must run?": false,
"Reserve eligibility": ["r1"], "Reserve eligibility": ["r1"]
}, },
"gen2": { "gen2": {
"Bus": "b5", "Bus": "b5",
"Type": "Thermal",
"Production cost curve (MW)": [0.0, [10.0, 8.0, 0.0, 3.0]], "Production cost curve (MW)": [0.0, [10.0, 8.0, 0.0, 3.0]],
"Production cost curve ($)": [0.0, 0.0], "Production cost curve ($)": [0.0, 0.0],
"Initial status (h)": -100,
"Initial power (MW)": 0,
"Reserve eligibility": ["r1", "r2"], "Reserve eligibility": ["r1", "r2"],
"Commitment status": [true, false, null, true]
},
"gen3": {
"Bus": "b6",
"Type": "Profiled",
"Minimum power (MW)": 10.0,
"Maximum power (MW)": 120.0,
"Cost ($/MW)": 100.0
} }
} }
} }
@@ -171,7 +193,7 @@ This section describes components in the system which may increase or reduce the
} }
``` ```
### Transmission Lines ### Transmission lines
This section describes the characteristics of transmission system, such as its topology and the susceptance of each transmission line. This section describes the characteristics of transmission system, such as its topology and the susceptance of each transmission line.

View File

@@ -6,25 +6,24 @@
* **Data Format:** The package proposes an extensible and fully-documented JSON-based data specification format for SCUC, developed in collaboration with Independent System Operators (ISOs), which describes the most important aspects of the problem. The format supports all the most common generator characteristics (including ramping, piecewise-linear production cost curves and time-dependent startup costs), as well as operating reserves, price-sensitive loads, transmission networks and contingencies. * **Data Format:** The package proposes an extensible and fully-documented JSON-based data specification format for SCUC, developed in collaboration with Independent System Operators (ISOs), which describes the most important aspects of the problem. The format supports all the most common generator characteristics (including ramping, piecewise-linear production cost curves and time-dependent startup costs), as well as operating reserves, price-sensitive loads, transmission networks and contingencies.
* **Benchmark Instances:** The package provides a diverse collection of large-scale benchmark instances collected from the literature, converted into a common data format, and extended using data-driven methods to make them more challenging and realistic. * **Benchmark Instances:** The package provides a diverse collection of large-scale benchmark instances collected from the literature, converted into a common data format, and extended using data-driven methods to make them more challenging and realistic.
* **Model Implementation**: The package provides a Julia/JuMP implementations of state-of-the-art formulations and solution methods for SCUC, including multiple ramping formulations ([ArrCon2000][ArrCon2000], [MorLatRam2013][MorLatRam2013], [DamKucRajAta2016][DamKucRajAta2016], [PanGua2016][PanGua2016]), multiple piecewise-linear costs formulations ([Gar1962][Gar1962], [CarArr2006][CarArr2006], [KnuOstWat2018][KnuOstWat2018]) and contingency screening methods ([XavQiuWanThi2019][XavQiuWanThi2019]). Our goal is to keep these implementations up-to-date as new methods are proposed in the literature. * **Model Implementation**: The package provides a Julia/JuMP implementations of state-of-the-art formulations and solution methods for SCUC, including multiple ramping formulations ([ArrCon2000](https://doi.org/10.1109/59.871739), [MorLatRam2013](https://doi.org/10.1109/TPWRS.2013.2251373), [DamKucRajAta2016](https://doi.org/10.1007/s10107-015-0919-9), [PanGua2016](https://doi.org/10.1287/opre.2016.1520)), multiple piecewise-linear costs formulations ([Gar1962](https://doi.org/10.1109/AIEEPAS.1962.4501405), [CarArr2006](https://doi.org/10.1109/TPWRS.2006.876672), [KnuOstWat2018](https://doi.org/10.1109/TPWRS.2017.2783850)) and contingency screening methods ([XavQiuWanThi2019](https://doi.org/10.1109/TPWRS.2019.2892620)). Our goal is to keep these implementations up-to-date as new methods are proposed in the literature.
* **Benchmark Tools:** The package provides automated benchmark scripts to accurately evaluate the performance impact of proposed code changes. * **Benchmark Tools:** The package provides automated benchmark scripts to accurately evaluate the performance impact of proposed code changes.
[ArrCon2000]: https://doi.org/10.1109/59.871739 ## Table of Contents
[CarArr2006]: https://doi.org/10.1109/TPWRS.2006.876672
[DamKucRajAta2016]: https://doi.org/10.1007/s10107-015-0919-9
[Gar1962]: https://doi.org/10.1109/AIEEPAS.1962.4501405
[KnuOstWat2018]: https://doi.org/10.1109/TPWRS.2017.2783850
[MorLatRam2013]: https://doi.org/10.1109/TPWRS.2013.2251373
[PanGua2016]: https://doi.org/10.1287/opre.2016.1520
[XavQiuWanThi2019]: https://doi.org/10.1109/TPWRS.2019.2892620
### Authors ```@contents
Pages = ["usage.md", "format.md", "instances.md", "model.md", "api.md"]
Depth = 3
```
## Authors
* **Alinson S. Xavier** (Argonne National Laboratory) * **Alinson S. Xavier** (Argonne National Laboratory)
* **Aleksandr M. Kazachkov** (University of Florida) * **Aleksandr M. Kazachkov** (University of Florida)
* **Ogün Yurdakul** (Technische Universität Berlin) * **Ogün Yurdakul** (Technische Universität Berlin)
* **Jun He** (Purdue University)
* **Feng Qiu** (Argonne National Laboratory) * **Feng Qiu** (Argonne National Laboratory)
### Acknowledgments ## Acknowledgments
* We would like to thank **Yonghong Chen** (Midcontinent Independent System Operator), **Feng Pan** (Pacific Northwest National Laboratory) for valuable feedback on early versions of this package. * We would like to thank **Yonghong Chen** (Midcontinent Independent System Operator), **Feng Pan** (Pacific Northwest National Laboratory) for valuable feedback on early versions of this package.
@@ -32,19 +31,19 @@
* Based upon work supported by the **U.S. Department of Energy Advanced Grid Modeling Program** under Grant DE-OE0000875. * Based upon work supported by the **U.S. Department of Energy Advanced Grid Modeling Program** under Grant DE-OE0000875.
### Citing ## Citing
If you use UnitCommitment.jl in your research (instances, models or algorithms), we kindly request that you cite the package as follows: If you use UnitCommitment.jl in your research (instances, models or algorithms), we kindly request that you cite the package as follows:
* **Alinson S. Xavier, Aleksandr M. Kazachkov, Ogün Yurdakul, Feng Qiu**, "UnitCommitment.jl: A Julia/JuMP Optimization Package for Security-Constrained Unit Commitment". Zenodo (2020). [DOI: 10.5281/zenodo.4269874](https://doi.org/10.5281/zenodo.4269874). * **Alinson S. Xavier, Aleksandr M. Kazachkov, Ogün Yurdakul, Feng Qiu**, "UnitCommitment.jl: A Julia/JuMP Optimization Package for Security-Constrained Unit Commitment (Version 0.3)". Zenodo (2022). [DOI: 10.5281/zenodo.4269874](https://doi.org/10.5281/zenodo.4269874).
If you use the instances, we additionally request that you cite the original sources, as described in the [instances page](instances.md). If you use the instances, we additionally request that you cite the original sources, as described in the [instances page](instances.md).
### License ## License
```text ```text
UnitCommitment.jl: A Julia/JuMP Optimization Package for Security-Constrained Unit Commitment UnitCommitment.jl: A Julia/JuMP Optimization Package for Security-Constrained Unit Commitment
Copyright © 2020, UChicago Argonne, LLC. All Rights Reserved. Copyright © 2020-2022, UChicago Argonne, LLC. All Rights Reserved.
Redistribution and use in source and binary forms, with or without modification, are permitted Redistribution and use in source and binary forms, with or without modification, are permitted
provided that the following conditions are met: provided that the following conditions are met:
@@ -68,16 +67,3 @@ THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING N
OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
POSSIBILITY OF SUCH DAMAGE. POSSIBILITY OF SUCH DAMAGE.
``` ```
## Site contents
```{toctree}
---
maxdepth: 2
---
usage.md
format.md
instances.md
model.md
```

View File

@@ -1,19 +1,11 @@
```{sectnum}
---
start: 3
depth: 2
suffix: .
---
```
Instances Instances
========= =========
UnitCommitment.jl provides a large collection of benchmark instances collected from the literature and converted to a [common data format](format.md). In some cases, as indicated below, the original instances have been extended, with realistic parameters, using data-driven methods. If you use these instances in your research, we request that you cite UnitCommitment.jl, as well as the original sources, as listed below. Benchmark instances can be loaded with `UnitCommitment.read_benchmark(name)`, as explained in the [usage section](usage.md). Instance files can also be [directly downloaded from our website](https://axavier.org/UnitCommitment.jl/0.3/instances/). UnitCommitment.jl provides a large collection of benchmark instances collected from the literature and converted to a [common data format](format.md). In some cases, as indicated below, the original instances have been extended, with realistic parameters, using data-driven methods. If you use these instances in your research, we request that you cite UnitCommitment.jl, as well as the original sources, as listed below. Benchmark instances can be loaded with `UnitCommitment.read_benchmark(name)`, as explained in the [usage section](usage.md). Instance files can also be [directly downloaded from our website](https://axavier.org/UnitCommitment.jl/0.3/instances/).
```{warning} !!! warning
The instances included in UC.jl are still under development and may change in the future. If you use these instances in your research, for reproducibility, you should specify what version of UC.jl they came from.
``` The instances included in UC.jl are still under development and may change in the future. If you use these instances in your research, for reproducibility, you should specify what version of UC.jl they came from.
MATPOWER MATPOWER
@@ -33,7 +25,7 @@ Because most MATPOWER test cases were originally designed for power flow studies
* **Contingencies** were set to include all N-1 transmission line contingencies that do not generate islands or isolated buses. More specifically, there is one contingency for each transmission line, as long as that transmission line is not a bridge in the network graph. * **Contingencies** were set to include all N-1 transmission line contingencies that do not generate islands or isolated buses. More specifically, there is one contingency for each transmission line, as long as that transmission line is not a bridge in the network graph.
For each MATPOWER test case, UC.jl provides 364 variations (`2017-01-01` to `2017-12-30`) corresponding different days of the year. For each MATPOWER test case, UC.jl provides 365 variations (`2017-01-01` to `2017-12-31`) corresponding different days of the year.
### MATPOWER/UW-PSTCA ### MATPOWER/UW-PSTCA
@@ -288,7 +280,7 @@ Tejada19
References References
---------- ----------
* [UCJL] **Alinson S. Xavier, Aleksandr M. Kazachkov, Ogün Yurdakul, Feng Qiu.** "UnitCommitment.jl: A Julia/JuMP Optimization Package for Security-Constrained Unit Commitment". Zenodo (2020). [DOI: 10.5281/zenodo.4269874](https://doi.org/10.5281/zenodo.4269874) * [UCJL] **Alinson S. Xavier, Aleksandr M. Kazachkov, Ogün Yurdakul, Feng Qiu.** "UnitCommitment.jl: A Julia/JuMP Optimization Package for Security-Constrained Unit Commitment (Version 0.3)". Zenodo (2022). [DOI: 10.5281/zenodo.4269874](https://doi.org/10.5281/zenodo.4269874)
* [KnOsWa20] **Bernard Knueven, James Ostrowski and Jean-Paul Watson.** "On Mixed-Integer Programming Formulations for the Unit Commitment Problem". INFORMS Journal on Computing (2020). [DOI: 10.1287/ijoc.2019.0944](https://doi.org/10.1287/ijoc.2019.0944) * [KnOsWa20] **Bernard Knueven, James Ostrowski and Jean-Paul Watson.** "On Mixed-Integer Programming Formulations for the Unit Commitment Problem". INFORMS Journal on Computing (2020). [DOI: 10.1287/ijoc.2019.0944](https://doi.org/10.1287/ijoc.2019.0944)
@@ -296,14 +288,9 @@ References
* [BaBlEh19] **Clayton Barrows, Aaron Bloom, Ali Ehlen, Jussi Ikaheimo, Jennie Jorgenson, Dheepak Krishnamurthy, Jessica Lau et al.** "The IEEE Reliability Test System: A Proposed 2019 Update." IEEE Transactions on Power Systems (2019). [DOI: 10.1109/TPWRS.2019.2925557](https://doi.org/10.1109/TPWRS.2019.2925557) * [BaBlEh19] **Clayton Barrows, Aaron Bloom, Ali Ehlen, Jussi Ikaheimo, Jennie Jorgenson, Dheepak Krishnamurthy, Jessica Lau et al.** "The IEEE Reliability Test System: A Proposed 2019 Update." IEEE Transactions on Power Systems (2019). [DOI: 10.1109/TPWRS.2019.2925557](https://doi.org/10.1109/TPWRS.2019.2925557)
* [JoFlMa16] **C. Josz, S. Fliscounakis, J. Maeght, and P. Panciatici.** "AC Power Flow * [JoFlMa16] **C. Josz, S. Fliscounakis, J. Maeght, and P. Panciatici.** "AC Power Flow Data in MATPOWER and QCQP Format: iTesla, RTE Snapshots, and PEGASE". [ArXiv (2016)](https://arxiv.org/abs/1603.01533).
Data in MATPOWER and QCQP Format: iTesla, RTE Snapshots, and PEGASE". [ArXiv (2016)](https://arxiv.org/abs/1603.01533).
* [FlPaCa13] **S. Fliscounakis, P. Panciatici, F. Capitanescu, and L. Wehenkel.** * [FlPaCa13] **S. Fliscounakis, P. Panciatici, F. Capitanescu, and L. Wehenkel.** "Contingency ranking with respect to overloads in very large power systems taking into account uncertainty, preventive and corrective actions", Power Systems, IEEE Trans. on, (28)4:4909-4917, 2013. [DOI: 10.1109/TPWRS.2013.2251015](https://doi.org/10.1109/TPWRS.2013.2251015)
"Contingency ranking with respect to overloads in very large power
systems taking into account uncertainty, preventive and corrective
actions", Power Systems, IEEE Trans. on, (28)4:4909-4917, 2013.
[DOI: 10.1109/TPWRS.2013.2251015](https://doi.org/10.1109/TPWRS.2013.2251015)
* [MTPWR] **D. Zimmerman, C. E. Murillo-Sandnchez and R. J. Thomas.** "Matpower: Steady-state operations, planning, and analysis tools forpower systems research and education", IEEE Transactions on PowerSystems, vol. 26, no. 1, pp. 12 19, Feb. 2011. [DOI: 10.1109/TPWRS.2010.2051168](https://doi.org/10.1109/TPWRS.2010.2051168) * [MTPWR] **D. Zimmerman, C. E. Murillo-Sandnchez and R. J. Thomas.** "Matpower: Steady-state operations, planning, and analysis tools forpower systems research and education", IEEE Transactions on PowerSystems, vol. 26, no. 1, pp. 12 19, Feb. 2011. [DOI: 10.1109/TPWRS.2010.2051168](https://doi.org/10.1109/TPWRS.2010.2051168)

View File

@@ -1,11 +1,3 @@
```{sectnum}
---
start: 4
depth: 2
suffix: .
---
```
JuMP Model JuMP Model
========== ==========
@@ -16,8 +8,10 @@ Decision variables
### Generators ### Generators
#### Thermal Units
Name | Symbol | Description | Unit Name | Symbol | Description | Unit
-----|:--------:|-------------|:------: :-----|:--------:|:-------------|:------:
`is_on[g,t]` | $u_{g}(t)$ | True if generator `g` is on at time `t`. | Binary `is_on[g,t]` | $u_{g}(t)$ | True if generator `g` is on at time `t`. | Binary
`switch_on[g,t]` | $v_{g}(t)$ | True is generator `g` switches on at time `t`. | Binary `switch_on[g,t]` | $v_{g}(t)$ | True is generator `g` switches on at time `t`. | Binary
`switch_off[g,t]` | $w_{g}(t)$ | True if generator `g` switches off at time `t`. | Binary `switch_off[g,t]` | $w_{g}(t)$ | True if generator `g` switches off at time `t`. | Binary
@@ -27,10 +21,17 @@ Name | Symbol | Description | Unit
`startup[g,t,s]` | $\delta^s_g(t)$ | True if generator `g` switches on at time `t` incurring start-up costs from start-up category `s`. | Binary `startup[g,t,s]` | $\delta^s_g(t)$ | True if generator `g` switches on at time `t` incurring start-up costs from start-up category `s`. | Binary
#### Profiled Units
Name | Symbol | Description | Unit
:-----|:------:|:-------------|:------:
`prod_profiled[s,t]` | $p^{\dagger}_{g}(t)$ | Amount of power produced by profiled unit `g` at time `t`. | MW
### Buses ### Buses
Name | Symbol | Description | Unit Name | Symbol | Description | Unit
-----|:------:|-------------|:------: :-----|:------:|:-------------|:------:
`net_injection[b,t]` | $n_b(t)$ | Net injection at bus `b` at time `t`. | MW `net_injection[b,t]` | $n_b(t)$ | Net injection at bus `b` at time `t`. | MW
`curtail[b,t]` | $s^+_b(t)$ | Amount of load curtailed at bus `b` at time `t` | MW `curtail[b,t]` | $s^+_b(t)$ | Amount of load curtailed at bus `b` at time `t` | MW
@@ -38,69 +39,24 @@ Name | Symbol | Description | Unit
### Price-sensitive loads ### Price-sensitive loads
Name | Symbol | Description | Unit Name | Symbol | Description | Unit
-----|:------:|-------------|:------: :-----|:------:|:-------------|:------:
`loads[s,t]` | $d_{s}(t)$ | Amount of power served to price-sensitive load `s` at time `t`. | MW `loads[s,t]` | $d_{s}(t)$ | Amount of power served to price-sensitive load `s` at time `t`. | MW
### Transmission lines ### Transmission lines
Name | Symbol | Description | Unit Name | Symbol | Description | Unit
-----|:------:|-------------|:------: :-----|:------:|:-------------|:------:
`flow[l,t]` | $f_l(t)$ | Power flow on line `l` at time `t`. | MW `flow[l,t]` | $f_l(t)$ | Power flow on line `l` at time `t`. | MW
`overflow[l,t]` | $f^+_l(t)$ | Amount of flow above the limit for line `l` at time `t`. | MW `overflow[l,t]` | $f^+_l(t)$ | Amount of flow above the limit for line `l` at time `t`. | MW
```{warning} !!! warning
Since transmission and N-1 security constraints are enforced in a lazy way, most of the `flow[l,t]` variables are never added to the model. Accessing `model[:flow][l,t]` without first checking that the variable exists will likely generate an error. Since transmission and N-1 security constraints are enforced in a lazy way, most of the `flow[l,t]` variables are never added to the model. Accessing `model[:flow][l,t]` without first checking that the variable exists will likely generate an error.
```
Objective function Objective function
------------------ ------------------
$$ TODO
\begin{align}
\text{minimize} \;\; &
\sum_{t \in \mathcal{T}}
\sum_{g \in \mathcal{G}}
C^\text{min}_g(t) u_g(t) \\
&
+ \sum_{t \in \mathcal{T}}
\sum_{g \in \mathcal{G}}
\sum_{g \in \mathcal{K}_g}
C^k_g(t) p^k_g(t) \\
&
+ \sum_{t \in \mathcal{T}}
\sum_{g \in \mathcal{G}}
\sum_{s \in \mathcal{S}_g}
C^s_{g}(t) \delta^s_g(t) \\
&
+ \sum_{t \in \mathcal{T}}
\sum_{l \in \mathcal{L}}
C^\text{overflow}_{l}(t) f^+_l(t) \\
&
+ \sum_{t \in \mathcal{T}}
\sum_{b \in \mathcal{B}}
C^\text{curtail}(t) s^+_b(t) \\
&
- \sum_{t \in \mathcal{T}}
\sum_{s \in \mathcal{PS}}
R_{s}(t) d_{s}(t) \\
\end{align}
$$
where
- $\mathcal{B}$ is the set of buses
- $\mathcal{G}$ is the set of generators
- $\mathcal{L}$ is the set of transmission lines
- $\mathcal{PS}$ is the set of price-sensitive loads
- $\mathcal{S}_g$ is the set of start-up categories for generator $g$
- $\mathcal{T}$ is the set of time steps
- $C^\text{curtail}(t)$ is the curtailment penalty (in \$/MW)
- $C^\text{min}_g(t)$ is the cost of keeping generator $g$ on and producing at minimum power during time $t$ (in \$)
- $C^\text{overflow}_{l}(t)$ is the flow limit penalty for line $l$ at time $t$ (in \$/MW)
- $C^k_g(t)$ is the cost for generator $g$ to produce 1 MW of power at time $t$ under piecewise linear segment $k$
- $C^s_{g}(t)$ is the cost of starting up generator $g$ at time $t$ under start-up category $s$ (in \$)
- $R_{s}(t)$ is the revenue obtained from serving price-sensitive load $s$ at time $t$ (in \$/MW)
Constraints Constraints
----------- -----------

View File

@@ -1,11 +1,3 @@
```{sectnum}
---
start: 1
depth: 2
suffix: .
---
```
Usage Usage
===== =====
@@ -66,10 +58,7 @@ using UnitCommitment
instance = UnitCommitment.read_benchmark("matpower/case3375wp/2017-02-01") instance = UnitCommitment.read_benchmark("matpower/case3375wp/2017-02-01")
``` ```
Advanced usage ## Customizing the formulation
--------------
### Customizing the formulation
By default, `build_model` uses a formulation that combines modeling components from different publications, and that has been carefully tested, using our own benchmark scripts, to provide good performance across a wide variety of instances. This default formulation is expected to change over time, as new methods are proposed in the literature. You can, however, construct your own formulation, based on the modeling components that you choose, as shown in the next example. By default, `build_model` uses a formulation that combines modeling components from different publications, and that has been carefully tested, using our own benchmark scripts, to provide good performance across a wide variety of instances. This default formulation is expected to change over time, as new methods are proposed in the literature. You can, however, construct your own formulation, based on the modeling components that you choose, as shown in the next example.
@@ -102,7 +91,7 @@ model = UnitCommitment.build_model(
) )
``` ```
### Generating initial conditions ## Generating initial conditions
When creating random unit commitment instances for benchmark purposes, it is often hard to compute, in advance, sensible initial conditions for all generators. Setting initial conditions naively (for example, making all generators initially off and producing no power) can easily cause the instance to become infeasible due to excessive ramping. Initial conditions can also make it hard to modify existing instances. For example, increasing the system load without carefully modifying the initial conditions may make the problem infeasible or unrealistically challenging to solve. When creating random unit commitment instances for benchmark purposes, it is often hard to compute, in advance, sensible initial conditions for all generators. Setting initial conditions naively (for example, making all generators initially off and producing no power) can easily cause the instance to become infeasible due to excessive ramping. Initial conditions can also make it hard to modify existing instances. For example, increasing the system load without carefully modifying the initial conditions may make the problem infeasible or unrealistically challenging to solve.
@@ -126,11 +115,11 @@ model = UnitCommitment.build_model(
UnitCommitment.optimize!(model) UnitCommitment.optimize!(model)
``` ```
```{warning} !!! warning
The function `generate_initial_conditions!` may return different initial conditions after each call, even if the same instance and the same optimizer is provided. The particular algorithm may also change in a future version of UC.jl. For these reasons, it is recommended that you generate initial conditions exactly once for each instance and store them for later use.
```
### Verifying solutions The function `generate_initial_conditions!` may return different initial conditions after each call, even if the same instance and the same optimizer is provided. The particular algorithm may also change in a future version of UC.jl. For these reasons, it is recommended that you generate initial conditions exactly once for each instance and store them for later use.
## Verifying solutions
When developing new formulations, it is very easy to introduce subtle errors in the model that result in incorrect solutions. To help with this, UC.jl includes a utility function that verifies if a given solution is feasible, and, if not, prints all the validation errors it found. The implementation of this function is completely independent from the implementation of the optimization model, and therefore can be used to validate it. The function can also be used to verify solutions produced by other optimization packages, as long as they follow the [UC.jl data format](format.md). When developing new formulations, it is very easy to introduce subtle errors in the model that result in incorrect solutions. To help with this, UC.jl includes a utility function that verifies if a given solution is feasible, and, if not, prints all the validation errors it found. The implementation of this function is completely independent from the implementation of the optimization model, and therefore can be used to validate it. The function can also be used to verify solutions produced by other optimization packages, as long as they follow the [UC.jl data format](format.md).
@@ -147,3 +136,91 @@ solution = JSON.parsefile("solution.json")
# Validate solution and print validation errors # Validate solution and print validation errors
UnitCommitment.validate(instance, solution) UnitCommitment.validate(instance, solution)
``` ```
## Computing Locational Marginal Prices
Locational marginal prices (LMPs) refer to the cost of supplying electricity at a particular location of the network. Multiple methods for computing LMPs have been proposed in the literature. UnitCommitment.jl implements two commonly-used methods: conventional LMPs and Approximated Extended LMPs (AELMPs). To compute LMPs for a given unit commitment instance, the `compute_lmp` function can be used, as shown in the examples below. The function accepts three arguments -- a solved SCUC model, an LMP method, and a linear optimizer -- and it returns a dictionary mapping `(bus_name, time)` to the marginal price.
!!! warning
Most mixed-integer linear optimizers, such as `HiGHS`, `Gurobi` and `CPLEX` can be used with `compute_lmp`, with the notable exception of `Cbc`, which does not support dual value evaluations. If using `Cbc`, please provide `Clp` as the linear optimizer.
### Conventional LMPs
LMPs are conventionally computed by: (1) solving the SCUC model, (2) fixing all binary variables to their optimal values, and (3) re-solving the resulting linear programming model. In this approach, the LMPs are defined as the dual variables' values associated with the net injection constraints. The example below shows how to compute conventional LMPs for a given unit commitment instance. First, we build and optimize the SCUC model. Then, we call the `compute_lmp` function, providing as the second argument `ConventionalLMP()`.
```julia
using UnitCommitment
using HiGHS
import UnitCommitment: ConventionalLMP
# Read benchmark instance
instance = UnitCommitment.read_benchmark("matpower/case118/2018-01-01")
# Build the model
model = UnitCommitment.build_model(
instance = instance,
optimizer = HiGHS.Optimizer,
)
# Optimize the model
UnitCommitment.optimize!(model)
# Compute the LMPs using the conventional method
lmp = UnitCommitment.compute_lmp(
model,
ConventionalLMP(),
optimizer = HiGHS.Optimizer,
)
# Access the LMPs
# Example: "s1" is the scenario name, "b1" is the bus name, 1 is the first time slot
@show lmp["s1","b1", 1]
```
### Approximate Extended LMPs
Approximate Extended LMPs (AELMPs) are an alternative method to calculate locational marginal prices which attemps to minimize uplift payments. The method internally works by modifying the instance data in three ways: (1) it sets the minimum power output of each generator to zero, (2) it averages the start-up cost over the offer blocks for each generator, and (3) it relaxes all integrality constraints. To compute AELMPs, as shown in the example below, we call `compute_lmp` and provide `AELMP()` as the second argument.
This method has two configurable parameters: `allow_offline_participation` and `consider_startup_costs`. If `allow_offline_participation = true`, then offline generators are allowed to participate in the pricing. If instead `allow_offline_participation = false`, offline generators are not allowed and therefore are excluded from the system. A solved UC model is optional if offline participation is allowed, but is required if not allowed. The method forces offline participation to be allowed if the UC model supplied by the user is not solved. For the second field, If `consider_startup_costs = true`, then start-up costs are integrated and averaged over each unit production; otherwise the production costs stay the same. By default, both fields are set to `true`.
!!! warning
This approximation method is still under active research, and has several limitations. The implementation provided in the package is based on MISO Phase I only. It only supports fast start resources. More specifically, the minimum up/down time of all generators must be 1, the initial power of all generators must be 0, and the initial status of all generators must be negative. The method does not support time-varying start-up costs. The method does not support multiple scenarios. If offline participation is not allowed, AELMPs treats an asset to be offline if it is never on throughout all time periods.
```julia
using UnitCommitment
using HiGHS
import UnitCommitment: AELMP
# Read benchmark instance
instance = UnitCommitment.read_benchmark("matpower/case118/2017-02-01")
# Build the model
model = UnitCommitment.build_model(
instance = instance,
optimizer = HiGHS.Optimizer,
)
# Optimize the model
UnitCommitment.optimize!(model)
# Compute the AELMPs
aelmp = UnitCommitment.compute_lmp(
model,
AELMP(
allow_offline_participation = false,
consider_startup_costs = true
),
optimizer = HiGHS.Optimizer
)
# Access the AELMPs
# Example: "s1" is the scenario name, "b1" is the bus name, 1 is the first time slot
# Note: although scenario is supported, the query still keeps the scenario keys for consistency.
@show aelmp["s1", "b1", 1]
```

75
juliaw
View File

@@ -1,75 +0,0 @@
#!/bin/bash
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020-2021, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
if [ ! -e Project.toml ]; then
echo "juliaw: Project.toml not found"
exit 1
fi
if [ ! -e Manifest.toml ]; then
julia --project=. -e 'using Pkg; Pkg.instantiate()' || exit 1
fi
if [ ! -e build/sysimage.so -o Project.toml -nt build/sysimage.so ]; then
echo "juliaw: rebuilding system image..."
# Generate temporary project folder
rm -rf $HOME/.juliaw
mkdir -p $HOME/.juliaw/src
cp Project.toml Manifest.toml $HOME/.juliaw
NAME=$(julia -e 'using TOML; toml = TOML.parsefile("Project.toml"); "name" in keys(toml) && print(toml["name"])')
if [ ! -z $NAME ]; then
cat > $HOME/.juliaw/src/$NAME.jl << EOF
module $NAME
end
EOF
fi
# Add PackageCompiler dependencies to temporary project
julia --project=$HOME/.juliaw -e 'using Pkg; Pkg.add(["PackageCompiler", "TOML", "Logging"])'
# Generate system image scripts
cat > $HOME/.juliaw/sysimage.jl << EOF
using PackageCompiler
using TOML
using Logging
Logging.disable_logging(Logging.Info)
mkpath("$PWD/build")
println("juliaw: generating precompilation statements...")
run(\`julia --project="$PWD" --trace-compile="$PWD"/build/precompile.jl \$(ARGS)\`)
println("juliaw: finding dependencies...")
project = TOML.parsefile("Project.toml")
manifest = TOML.parsefile("Manifest.toml")
deps = Symbol[]
for dep in keys(project["deps"])
if dep in keys(manifest)
# Up to Julia 1.6
dep_entry = manifest[dep][1]
else
# Julia 1.7+
dep_entry = manifest["deps"][dep][1]
end
if "path" in keys(dep_entry)
println(" - \$(dep) [skip]")
else
println(" - \$(dep)")
push!(deps, Symbol(dep))
end
end
println("juliaw: building system image...")
create_sysimage(
deps,
precompile_statements_file = "$PWD/build/precompile.jl",
sysimage_path = "$PWD/build/sysimage.so",
)
EOF
julia --project=$HOME/.juliaw $HOME/.juliaw/sysimage.jl $*
else
julia --project=. --sysimage build/sysimage.so $*
fi

View File

@@ -4,9 +4,12 @@
module UnitCommitment module UnitCommitment
using Base: String
include("instance/structs.jl") include("instance/structs.jl")
include("model/formulations/base/structs.jl") include("model/formulations/base/structs.jl")
include("solution/structs.jl") include("solution/structs.jl")
include("lmp/structs.jl")
include("model/formulations/ArrCon2000/structs.jl") include("model/formulations/ArrCon2000/structs.jl")
include("model/formulations/CarArr2006/structs.jl") include("model/formulations/CarArr2006/structs.jl")
@@ -29,6 +32,7 @@ include("model/formulations/base/psload.jl")
include("model/formulations/base/sensitivity.jl") include("model/formulations/base/sensitivity.jl")
include("model/formulations/base/system.jl") include("model/formulations/base/system.jl")
include("model/formulations/base/unit.jl") include("model/formulations/base/unit.jl")
include("model/formulations/base/punit.jl")
include("model/formulations/CarArr2006/pwlcosts.jl") include("model/formulations/CarArr2006/pwlcosts.jl")
include("model/formulations/DamKucRajAta2016/ramp.jl") include("model/formulations/DamKucRajAta2016/ramp.jl")
include("model/formulations/Gar1962/pwlcosts.jl") include("model/formulations/Gar1962/pwlcosts.jl")
@@ -56,5 +60,7 @@ include("utils/log.jl")
include("utils/benchmark.jl") include("utils/benchmark.jl")
include("validation/repair.jl") include("validation/repair.jl")
include("validation/validate.jl") include("validation/validate.jl")
include("lmp/conventional.jl")
include("lmp/aelmp.jl")
end end

View File

@@ -18,9 +18,9 @@ function read_egret_solution(path::String)::OrderedDict
solution = OrderedDict() solution = OrderedDict()
is_on = solution["Is on"] = OrderedDict() is_on = solution["Is on"] = OrderedDict()
production = solution["Production (MW)"] = OrderedDict() production = solution["Thermal production (MW)"] = OrderedDict()
reserve = solution["Reserve (MW)"] = OrderedDict() reserve = solution["Reserve (MW)"] = OrderedDict()
production_cost = solution["Production cost (\$)"] = OrderedDict() production_cost = solution["Thermal production cost (\$)"] = OrderedDict()
startup_cost = solution["Startup cost (\$)"] = OrderedDict() startup_cost = solution["Startup cost (\$)"] = OrderedDict()
for (gen_name, gen_dict) in egret["elements"]["generator"] for (gen_name, gen_dict) in egret["elements"]["generator"]

View File

@@ -17,6 +17,7 @@ function _migrate(json)
end end
version = VersionNumber(version) version = VersionNumber(version)
version >= v"0.3" || _migrate_to_v03(json) version >= v"0.3" || _migrate_to_v03(json)
version >= v"0.4" || _migrate_to_v04(json)
return return
end end
@@ -36,3 +37,14 @@ function _migrate_to_v03(json)
end end
end end
end end
function _migrate_to_v04(json)
# Migrate thermal units
if json["Generators"] !== nothing
for (gen_name, gen) in json["Generators"]
if gen["Type"] === nothing
gen["Type"] = "Thermal"
end
end
end
end

View File

@@ -13,15 +13,13 @@ const INSTANCES_URL = "https://axavier.org/UnitCommitment.jl/0.3/instances"
""" """
read_benchmark(name::AbstractString)::UnitCommitmentInstance read_benchmark(name::AbstractString)::UnitCommitmentInstance
Read one of the benchmark unit commitment instances included in the package. Read one of the benchmark instances included in the package. See
See "Instances" section of the documentation for the entire list of benchmark [Instances](instances.md) for the entire list of benchmark instances available.
instances available.
Example # Example
------- ```julia
instance = UnitCommitment.read_benchmark("matpower/case3375wp/2017-02-01")
import UnitCommitment ```
instance = UnitCommitment.read_benchmark("matpower/case3375wp/2017-02-01")
""" """
function read_benchmark( function read_benchmark(
name::AbstractString; name::AbstractString;
@@ -45,26 +43,76 @@ function read_benchmark(
return UnitCommitment.read(filename) return UnitCommitment.read(filename)
end end
function _repair_scenario_names_and_probabilities!(
scenarios::Vector{UnitCommitmentScenario},
path::Vector{String},
)::Nothing
total_weight = sum([sc.probability for sc in scenarios])
for (sc_path, sc) in zip(path, scenarios)
sc.name !== "" ||
(sc.name = first(split(last(split(sc_path, "/")), ".")))
sc.probability = (sc.probability / total_weight)
end
return
end
""" """
read(path::AbstractString)::UnitCommitmentInstance read(path::AbstractString)::UnitCommitmentInstance
Read a unit commitment instance from a file. The file may be gzipped. Read a deterministic test case from the given file. The file may be gzipped.
Example # Example
-------
import UnitCommitment ```julia
instance = UnitCommitment.read("/path/to/input.json.gz") instance = UnitCommitment.read("s1.json.gz")
```
""" """
function read(path::AbstractString)::UnitCommitmentInstance function read(path::String)::UnitCommitmentInstance
if endswith(path, ".gz") scenarios = Vector{UnitCommitmentScenario}()
return _read(gzopen(path)) scenario = _read_scenario(path)
else scenario.name = "s1"
return _read(open(path)) scenario.probability = 1.0
end scenarios = [scenario]
instance =
UnitCommitmentInstance(time = scenario.time, scenarios = scenarios)
return instance
end end
function _read(file::IO)::UnitCommitmentInstance """
read(path::Vector{String})::UnitCommitmentInstance
Read a stochastic unit commitment instance from the given files. Each file
describes a scenario. The files may be gzipped.
# Example
```julia
instance = UnitCommitment.read(["s1.json.gz", "s2.json.gz"])
```
"""
function read(paths::Vector{String})::UnitCommitmentInstance
scenarios = UnitCommitmentScenario[]
for p in paths
push!(scenarios, _read_scenario(p))
end
_repair_scenario_names_and_probabilities!(scenarios, paths)
instance =
UnitCommitmentInstance(time = scenarios[1].time, scenarios = scenarios)
return instance
end
function _read_scenario(path::String)::UnitCommitmentScenario
if endswith(path, ".gz")
scenario = _read(gzopen(path))
elseif endswith(path, ".json")
scenario = _read(open(path))
else
error("Unsupported input format")
end
return scenario
end
function _read(file::IO)::UnitCommitmentScenario
return _from_json( return _from_json(
JSON.parse(file, dicttype = () -> DefaultOrderedDict(nothing)), JSON.parse(file, dicttype = () -> DefaultOrderedDict(nothing)),
) )
@@ -79,14 +127,15 @@ function _read_json(path::String)::OrderedDict
return JSON.parse(file, dicttype = () -> DefaultOrderedDict(nothing)) return JSON.parse(file, dicttype = () -> DefaultOrderedDict(nothing))
end end
function _from_json(json; repair = true) function _from_json(json; repair = true)::UnitCommitmentScenario
_migrate(json) _migrate(json)
units = Unit[] thermal_units = ThermalUnit[]
buses = Bus[] buses = Bus[]
contingencies = Contingency[] contingencies = Contingency[]
lines = TransmissionLine[] lines = TransmissionLine[]
loads = PriceSensitiveLoad[] loads = PriceSensitiveLoad[]
reserves = Reserve[] reserves = Reserve[]
profiled_units = ProfiledUnit[]
function scalar(x; default = nothing) function scalar(x; default = nothing)
x !== nothing || return default x !== nothing || return default
@@ -104,9 +153,14 @@ function _from_json(json; repair = true)
time_multiplier = 60 ÷ time_step time_multiplier = 60 ÷ time_step
T = time_horizon * time_multiplier T = time_horizon * time_multiplier
probability = json["Parameters"]["Scenario weight"]
probability !== nothing || (probability = 1)
scenario_name = json["Parameters"]["Scenario name"]
scenario_name !== nothing || (scenario_name = "")
name_to_bus = Dict{String,Bus}() name_to_bus = Dict{String,Bus}()
name_to_line = Dict{String,TransmissionLine}() name_to_line = Dict{String,TransmissionLine}()
name_to_unit = Dict{String,Unit}() name_to_unit = Dict{String,ThermalUnit}()
name_to_reserve = Dict{String,Reserve}() name_to_reserve = Dict{String,Reserve}()
function timeseries(x; default = nothing) function timeseries(x; default = nothing)
@@ -120,15 +174,6 @@ function _from_json(json; repair = true)
json["Parameters"]["Power balance penalty (\$/MW)"], json["Parameters"]["Power balance penalty (\$/MW)"],
default = [1000.0 for t in 1:T], default = [1000.0 for t in 1:T],
) )
# Penalty price for shortage in meeting system-wide flexiramp requirements
flexiramp_shortfall_penalty = timeseries(
json["Parameters"]["Flexiramp penalty (\$/MW)"],
default = [500.0 for t in 1:T],
)
shortfall_penalty = timeseries(
json["Parameters"]["Reserve shortfall penalty (\$/MW)"],
default = [-1.0 for t in 1:T],
)
# Read buses # Read buses
for (bus_name, dict) in json["Buses"] for (bus_name, dict) in json["Buses"]
@@ -136,8 +181,9 @@ function _from_json(json; repair = true)
bus_name, bus_name,
length(buses), length(buses),
timeseries(dict["Load (MW)"]), timeseries(dict["Load (MW)"]),
Unit[], ThermalUnit[],
PriceSensitiveLoad[], PriceSensitiveLoad[],
ProfiledUnit[],
) )
name_to_bus[bus_name] = bus name_to_bus[bus_name] = bus
push!(buses, bus) push!(buses, bus)
@@ -150,7 +196,7 @@ function _from_json(json; repair = true)
name = reserve_name, name = reserve_name,
type = lowercase(dict["Type"]), type = lowercase(dict["Type"]),
amount = timeseries(dict["Amount (MW)"]), amount = timeseries(dict["Amount (MW)"]),
units = [], thermal_units = [],
shortfall_penalty = scalar( shortfall_penalty = scalar(
dict["Shortfall penalty (\$/MW)"], dict["Shortfall penalty (\$/MW)"],
default = -1, default = -1,
@@ -163,15 +209,25 @@ function _from_json(json; repair = true)
# Read units # Read units
for (unit_name, dict) in json["Generators"] for (unit_name, dict) in json["Generators"]
# Read and validate unit type
unit_type = scalar(dict["Type"], default = nothing)
unit_type !== nothing || error("unit $unit_name has no type specified")
bus = name_to_bus[dict["Bus"]] bus = name_to_bus[dict["Bus"]]
if lowercase(unit_type) === "thermal"
# Read production cost curve # Read production cost curve
K = length(dict["Production cost curve (MW)"]) K = length(dict["Production cost curve (MW)"])
curve_mw = hcat( curve_mw = hcat(
[timeseries(dict["Production cost curve (MW)"][k]) for k in 1:K]..., [
timeseries(dict["Production cost curve (MW)"][k]) for
k in 1:K
]...,
) )
curve_cost = hcat( curve_cost = hcat(
[timeseries(dict["Production cost curve (\$)"][k]) for k in 1:K]..., [
timeseries(dict["Production cost curve (\$)"][k]) for
k in 1:K
]...,
) )
min_power = curve_mw[:, 1] min_power = curve_mw[:, 1]
max_power = curve_mw[:, K] max_power = curve_mw[:, K]
@@ -206,14 +262,18 @@ function _from_json(json; repair = true)
end end
# Read and validate initial conditions # Read and validate initial conditions
initial_power = scalar(dict["Initial power (MW)"], default = nothing) initial_power =
initial_status = scalar(dict["Initial status (h)"], default = nothing) scalar(dict["Initial power (MW)"], default = nothing)
initial_status =
scalar(dict["Initial status (h)"], default = nothing)
if initial_power === nothing if initial_power === nothing
initial_status === nothing || initial_status === nothing || error(
error("unit $unit_name has initial status but no initial power") "unit $unit_name has initial status but no initial power",
)
else else
initial_status !== nothing || initial_status !== nothing || error(
error("unit $unit_name has initial power but no initial status") "unit $unit_name has initial power but no initial status",
)
initial_status != 0 || initial_status != 0 ||
error("unit $unit_name has invalid initial status") error("unit $unit_name has invalid initial status")
if initial_status < 0 && initial_power > 1e-3 if initial_status < 0 && initial_power > 1e-3
@@ -222,7 +282,13 @@ function _from_json(json; repair = true)
initial_status *= time_multiplier initial_status *= time_multiplier
end end
unit = Unit( # Read commitment status
commitment_status = scalar(
dict["Commitment status"],
default = Vector{Union{Bool,Nothing}}(nothing, T),
)
unit = ThermalUnit(
unit_name, unit_name,
bus, bus,
max_power, max_power,
@@ -230,8 +296,10 @@ function _from_json(json; repair = true)
timeseries(dict["Must run?"], default = [false for t in 1:T]), timeseries(dict["Must run?"], default = [false for t in 1:T]),
min_power_cost, min_power_cost,
segments, segments,
scalar(dict["Minimum uptime (h)"], default = 1) * time_multiplier, scalar(dict["Minimum uptime (h)"], default = 1) *
scalar(dict["Minimum downtime (h)"], default = 1) * time_multiplier, time_multiplier,
scalar(dict["Minimum downtime (h)"], default = 1) *
time_multiplier,
scalar(dict["Ramp up limit (MW)"], default = 1e6), scalar(dict["Ramp up limit (MW)"], default = 1e6),
scalar(dict["Ramp down limit (MW)"], default = 1e6), scalar(dict["Ramp down limit (MW)"], default = 1e6),
scalar(dict["Startup limit (MW)"], default = 1e6), scalar(dict["Startup limit (MW)"], default = 1e6),
@@ -240,13 +308,28 @@ function _from_json(json; repair = true)
initial_power, initial_power,
startup_categories, startup_categories,
unit_reserves, unit_reserves,
commitment_status,
) )
push!(bus.units, unit) push!(bus.thermal_units, unit)
for r in unit_reserves for r in unit_reserves
push!(r.units, unit) push!(r.thermal_units, unit)
end end
name_to_unit[unit_name] = unit name_to_unit[unit_name] = unit
push!(units, unit) push!(thermal_units, unit)
elseif lowercase(unit_type) === "profiled"
bus = name_to_bus[dict["Bus"]]
pu = ProfiledUnit(
unit_name,
bus,
timeseries(scalar(dict["Minimum power (MW)"], default = 0.0)),
timeseries(dict["Maximum power (MW)"]),
timeseries(dict["Cost (\$/MW)"]),
)
push!(bus.profiled_units, pu)
push!(profiled_units, pu)
else
error("unit $unit_name has an invalid type")
end
end end
# Read transmission lines # Read transmission lines
@@ -280,7 +363,7 @@ function _from_json(json; repair = true)
# Read contingencies # Read contingencies
if "Contingencies" in keys(json) if "Contingencies" in keys(json)
for (cont_name, dict) in json["Contingencies"] for (cont_name, dict) in json["Contingencies"]
affected_units = Unit[] affected_units = ThermalUnit[]
affected_lines = TransmissionLine[] affected_lines = TransmissionLine[]
if "Affected lines" in keys(dict) if "Affected lines" in keys(dict)
affected_lines = affected_lines =
@@ -310,7 +393,9 @@ function _from_json(json; repair = true)
end end
end end
instance = UnitCommitmentInstance( scenario = UnitCommitmentScenario(
name = scenario_name,
probability = probability,
buses_by_name = Dict(b.name => b for b in buses), buses_by_name = Dict(b.name => b for b in buses),
buses = buses, buses = buses,
contingencies_by_name = Dict(c.name => c for c in contingencies), contingencies_by_name = Dict(c.name => c for c in contingencies),
@@ -322,14 +407,16 @@ function _from_json(json; repair = true)
price_sensitive_loads = loads, price_sensitive_loads = loads,
reserves = reserves, reserves = reserves,
reserves_by_name = name_to_reserve, reserves_by_name = name_to_reserve,
shortfall_penalty = shortfall_penalty,
flexiramp_shortfall_penalty = flexiramp_shortfall_penalty,
time = T, time = T,
units_by_name = Dict(g.name => g for g in units), thermal_units_by_name = Dict(g.name => g for g in thermal_units),
units = units, thermal_units = thermal_units,
profiled_units_by_name = Dict(pu.name => pu for pu in profiled_units),
profiled_units = profiled_units,
isf = spzeros(Float64, length(lines), length(buses) - 1),
lodf = spzeros(Float64, length(lines), length(lines)),
) )
if repair if repair
UnitCommitment.repair!(instance) UnitCommitment.repair!(scenario)
end end
return instance return scenario
end end

View File

@@ -6,8 +6,9 @@ mutable struct Bus
name::String name::String
offset::Int offset::Int
load::Vector{Float64} load::Vector{Float64}
units::Vector thermal_units::Vector
price_sensitive_loads::Vector price_sensitive_loads::Vector
profiled_units::Vector
end end
mutable struct CostSegment mutable struct CostSegment
@@ -24,11 +25,11 @@ Base.@kwdef mutable struct Reserve
name::String name::String
type::String type::String
amount::Vector{Float64} amount::Vector{Float64}
units::Vector thermal_units::Vector
shortfall_penalty::Float64 shortfall_penalty::Float64
end end
mutable struct Unit mutable struct ThermalUnit
name::String name::String
bus::Bus bus::Bus
max_power::Vector{Float64} max_power::Vector{Float64}
@@ -46,6 +47,7 @@ mutable struct Unit
initial_power::Union{Float64,Nothing} initial_power::Union{Float64,Nothing}
startup_categories::Vector{StartupCategory} startup_categories::Vector{StartupCategory}
reserves::Vector{Reserve} reserves::Vector{Reserve}
commitment_status::Vector{Union{Bool,Nothing}}
end end
mutable struct TransmissionLine mutable struct TransmissionLine
@@ -63,7 +65,7 @@ end
mutable struct Contingency mutable struct Contingency
name::String name::String
lines::Vector{TransmissionLine} lines::Vector{TransmissionLine}
units::Vector{Unit} thermal_units::Vector{ThermalUnit}
end end
mutable struct PriceSensitiveLoad mutable struct PriceSensitiveLoad
@@ -73,35 +75,52 @@ mutable struct PriceSensitiveLoad
revenue::Vector{Float64} revenue::Vector{Float64}
end end
Base.@kwdef mutable struct UnitCommitmentInstance mutable struct ProfiledUnit
name::String
bus::Bus
min_power::Vector{Float64}
max_power::Vector{Float64}
cost::Vector{Float64}
end
Base.@kwdef mutable struct UnitCommitmentScenario
buses_by_name::Dict{AbstractString,Bus} buses_by_name::Dict{AbstractString,Bus}
buses::Vector{Bus} buses::Vector{Bus}
contingencies_by_name::Dict{AbstractString,Contingency} contingencies_by_name::Dict{AbstractString,Contingency}
contingencies::Vector{Contingency} contingencies::Vector{Contingency}
isf::Array{Float64,2}
lines_by_name::Dict{AbstractString,TransmissionLine} lines_by_name::Dict{AbstractString,TransmissionLine}
lines::Vector{TransmissionLine} lines::Vector{TransmissionLine}
lodf::Array{Float64,2}
name::String
power_balance_penalty::Vector{Float64} power_balance_penalty::Vector{Float64}
price_sensitive_loads_by_name::Dict{AbstractString,PriceSensitiveLoad} price_sensitive_loads_by_name::Dict{AbstractString,PriceSensitiveLoad}
price_sensitive_loads::Vector{PriceSensitiveLoad} price_sensitive_loads::Vector{PriceSensitiveLoad}
reserves::Vector{Reserve} probability::Float64
profiled_units_by_name::Dict{AbstractString,ProfiledUnit}
profiled_units::Vector{ProfiledUnit}
reserves_by_name::Dict{AbstractString,Reserve} reserves_by_name::Dict{AbstractString,Reserve}
shortfall_penalty::Vector{Float64} reserves::Vector{Reserve}
flexiramp_shortfall_penalty::Vector{Float64} thermal_units_by_name::Dict{AbstractString,ThermalUnit}
thermal_units::Vector{ThermalUnit}
time::Int time::Int
units_by_name::Dict{AbstractString,Unit} end
units::Vector{Unit}
Base.@kwdef mutable struct UnitCommitmentInstance
time::Int
scenarios::Vector{UnitCommitmentScenario}
end end
function Base.show(io::IO, instance::UnitCommitmentInstance) function Base.show(io::IO, instance::UnitCommitmentInstance)
sc = instance.scenarios[1]
print(io, "UnitCommitmentInstance(") print(io, "UnitCommitmentInstance(")
print(io, "$(length(instance.units)) units, ") print(io, "$(length(instance.scenarios)) scenarios, ")
print(io, "$(length(instance.buses)) buses, ") print(io, "$(length(sc.thermal_units)) thermal units, ")
print(io, "$(length(instance.lines)) lines, ") print(io, "$(length(sc.profiled_units)) profiled units, ")
print(io, "$(length(instance.contingencies)) contingencies, ") print(io, "$(length(sc.buses)) buses, ")
print( print(io, "$(length(sc.lines)) lines, ")
io, print(io, "$(length(sc.contingencies)) contingencies, ")
"$(length(instance.price_sensitive_loads)) price sensitive loads, ", print(io, "$(length(sc.price_sensitive_loads)) price sensitive loads, ")
)
print(io, "$(instance.time) time steps") print(io, "$(instance.time) time steps")
print(io, ")") print(io, ")")
return return

212
src/lmp/aelmp.jl Normal file
View File

@@ -0,0 +1,212 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using JuMP
"""
function compute_lmp(
model::JuMP.Model,
method::AELMP;
optimizer,
)::OrderedDict{Tuple{String,Int},Float64}
Calculates the approximate extended locational marginal prices of the given unit commitment instance.
The AELPM does the following three things:
1. It sets the minimum power output of each generator to zero
2. It averages the start-up cost over the offer blocks for each generator
3. It relaxes all integrality constraints
Returns a dictionary mapping `(bus_name, time)` to the marginal price.
WARNING: This approximation method is not fully developed. The implementation is based on MISO Phase I only.
1. It only supports Fast Start resources. More specifically, the minimum up/down time has to be zero.
2. The method does NOT support time-varying start-up costs.
3. An asset is considered offline if it is never on throughout all time periods.
4. The method does NOT support multiple scenarios.
Arguments
---------
- `model`:
the UnitCommitment model, must be solved before calling this function if offline participation is not allowed.
- `method`:
the AELMP method.
- `optimizer`:
the optimizer for solving the LP problem.
Examples
--------
```julia
using UnitCommitment
using HiGHS
import UnitCommitment: AELMP
# Read benchmark instance
instance = UnitCommitment.read_benchmark("matpower/case118/2017-02-01")
# Build the model
model = UnitCommitment.build_model(
instance = instance,
optimizer = HiGHS.Optimizer,
)
# Optimize the model
UnitCommitment.optimize!(model)
# Compute the AELMPs
aelmp = UnitCommitment.compute_lmp(
model,
AELMP(
allow_offline_participation = false,
consider_startup_costs = true
),
optimizer = HiGHS.Optimizer
)
# Access the AELMPs
# Example: "s1" is the scenario name, "b1" is the bus name, 1 is the first time slot
# Note: although scenario is supported, the query still keeps the scenario keys for consistency.
@show aelmp["s1", "b1", 1]
```
"""
function compute_lmp(
model::JuMP.Model,
method::AELMP;
optimizer,
)::OrderedDict{Tuple{String,String,Int},Float64}
@info "Building the approximation model..."
instance = deepcopy(model[:instance])
_aelmp_check_parameters(instance, model, method)
_modify_scenario!(instance.scenarios[1], model, method)
# prepare the result dictionary and solve the model
elmp = OrderedDict()
@info "Solving the approximation model."
approx_model = build_model(instance = instance, variable_names = true)
# relax the binary constraint, and relax integrality
for v in all_variables(approx_model)
if is_binary(v)
unset_binary(v)
end
end
relax_integrality(approx_model)
set_optimizer(approx_model, optimizer)
# solve the model
set_silent(approx_model)
optimize!(approx_model)
# access the dual values
@info "Getting dual values (AELMPs)."
for (key, val) in approx_model[:eq_net_injection]
elmp[key] = dual(val)
end
return elmp
end
function _aelmp_check_parameters(
instance::UnitCommitmentInstance,
model::JuMP.Model,
method::AELMP,
)
# CHECK: model cannot have multiple scenarios
if length(instance.scenarios) > 1
error("The method does NOT support multiple scenarios.")
end
sc = instance.scenarios[1]
# CHECK: model must be solved if allow_offline_participation=false
if !method.allow_offline_participation
if isnothing(model) || !has_values(model)
error(
"A solved UC model is required if allow_offline_participation=false.",
)
end
end
all_units = sc.thermal_units
# CHECK: model cannot handle non-fast-starts (MISO Phase I: can ONLY solve fast-starts)
if any(u -> u.min_uptime > 1 || u.min_downtime > 1, all_units)
error(
"The minimum up/down time of all generators must be 1. AELMP only supports fast-starts.",
)
end
if any(u -> u.initial_power > 0, all_units)
error("The initial power of all generators must be 0.")
end
if any(u -> u.initial_status >= 0, all_units)
error("The initial status of all generators must be negative.")
end
# CHECK: model does not support startup costs (in time series)
if any(u -> length(u.startup_categories) > 1, all_units)
error("The method does NOT support time-varying start-up costs.")
end
end
function _modify_scenario!(
sc::UnitCommitmentScenario,
model::JuMP.Model,
method::AELMP,
)
# this function modifies the sc units (generators)
if !method.allow_offline_participation
# 1. remove (if NOT allowing) the offline generators
units_to_remove = []
for unit in sc.thermal_units
# remove based on the solved UC model result
# remove the unit if it is never on
if all(t -> value(model[:is_on][unit.name, t]) == 0, sc.time)
# unregister from the bus
filter!(x -> x.name != unit.name, unit.bus.thermal_units)
# unregister from the reserve
for r in unit.reserves
filter!(x -> x.name != unit.name, r.thermal_units)
end
# append the name to the remove list
push!(units_to_remove, unit.name)
end
end
# unregister the units from the remove list
filter!(x -> !(x.name in units_to_remove), sc.thermal_units)
end
for unit in sc.thermal_units
# 2. set min generation requirement to 0 by adding 0 to production curve and cost
# min_power & min_costs are vectors with dimension T
if unit.min_power[1] != 0
first_cost_segment = unit.cost_segments[1]
pushfirst!(
unit.cost_segments,
CostSegment(
ones(size(first_cost_segment.mw)) * unit.min_power[1],
ones(size(first_cost_segment.cost)) *
unit.min_power_cost[1] / unit.min_power[1],
),
)
unit.min_power = zeros(size(first_cost_segment.mw))
unit.min_power_cost = zeros(size(first_cost_segment.cost))
end
# 3. average the start-up costs (if considering)
# if consider_startup_costs = false, then use the current first_startup_cost
first_startup_cost = unit.startup_categories[1].cost
if method.consider_startup_costs
additional_unit_cost = first_startup_cost / unit.max_power[1]
for i in eachindex(unit.cost_segments)
unit.cost_segments[i].cost .+= additional_unit_cost
end
first_startup_cost = 0.0 # zero out the start up cost
end
unit.startup_categories =
StartupCategory[StartupCategory(0, first_startup_cost)]
end
return sc.thermal_units_by_name =
Dict(g.name => g for g in sc.thermal_units)
end

92
src/lmp/conventional.jl Normal file
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@@ -0,0 +1,92 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using JuMP
"""
function compute_lmp(
model::JuMP.Model,
method::ConventionalLMP;
optimizer,
)::OrderedDict{Tuple{String,String,Int},Float64}
Calculates conventional locational marginal prices of the given unit commitment
instance. Returns a dictionary mapping `(bus_name, time)` to the marginal price.
Arguments
---------
- `model`:
the UnitCommitment model, must be solved before calling this function.
- `method`:
the LMP method.
- `optimizer`:
the optimizer for solving the LP problem.
Examples
--------
```julia
using UnitCommitment
using HiGHS
import UnitCommitment: ConventionalLMP
# Read benchmark instance
instance = UnitCommitment.read_benchmark("matpower/case118/2018-01-01")
# Build the model
model = UnitCommitment.build_model(
instance = instance,
optimizer = HiGHS.Optimizer,
)
# Optimize the model
UnitCommitment.optimize!(model)
# Compute the LMPs using the conventional method
lmp = UnitCommitment.compute_lmp(
model,
ConventionalLMP(),
optimizer = HiGHS.Optimizer,
)
# Access the LMPs
# Example: "s1" is the scenario name, "b1" is the bus name, 1 is the first time slot
@show lmp["s1", "b1", 1]
```
"""
function compute_lmp(
model::JuMP.Model,
::ConventionalLMP;
optimizer,
)::OrderedDict{Tuple{String,String,Int},Float64}
if !has_values(model)
error("The UC model must be solved before calculating the LMPs.")
end
lmp = OrderedDict()
@info "Fixing binary variables and relaxing integrality..."
vals = Dict(v => value(v) for v in all_variables(model))
for v in all_variables(model)
if is_binary(v)
unset_binary(v)
fix(v, vals[v])
end
end
relax_integrality(model)
set_optimizer(model, optimizer)
@info "Solving the LP..."
JuMP.optimize!(model)
@info "Getting dual values (LMPs)..."
for (key, val) in model[:eq_net_injection]
lmp[key] = dual(val)
end
return lmp
end

28
src/lmp/structs.jl Normal file
View File

@@ -0,0 +1,28 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
abstract type PricingMethod end
struct ConventionalLMP <: PricingMethod end
"""
struct AELMP <: PricingMethod
allow_offline_participation::Bool = true
consider_startup_costs::Bool = true
end
Approximate Extended LMPs.
Arguments
---------
- `allow_offline_participation`:
If true, offline assets are allowed to participate in pricing.
- `consider_startup_costs`:
If true, the start-up costs are averaged over each unit production; otherwise the production costs stay the same.
"""
Base.@kwdef struct AELMP <: PricingMethod
allow_offline_participation::Bool = true
consider_startup_costs::Bool = true
end

View File

@@ -9,22 +9,59 @@ import JuMP: value, fix, set_name
function build_model(; function build_model(;
instance::UnitCommitmentInstance, instance::UnitCommitmentInstance,
optimizer = nothing, optimizer = nothing,
formulation = Formulation(),
variable_names::Bool = false, variable_names::Bool = false,
)::JuMP.Model )::JuMP.Model
Build the JuMP model corresponding to the given unit commitment instance. Build the JuMP model corresponding to the given unit commitment instance.
Arguments Arguments
========= ---------
- `instance`: - `instance`:
the instance. the instance.
- `optimizer`: - `optimizer`:
the optimizer factory that should be attached to this model (e.g. Cbc.Optimizer). the optimizer factory that should be attached to this model (e.g. Cbc.Optimizer).
If not provided, no optimizer will be attached. If not provided, no optimizer will be attached.
- `formulation`:
the MIP formulation to use. By default, uses a formulation that combines
modeling components from different publications that provides good
performance across a wide variety of instances. An alternative formulation
may also be provided.
- `variable_names`: - `variable_names`:
If true, set variable and constraint names. Important if the model is going if true, set variable and constraint names. Important if the model is going
to be exported to an MPS file. For large models, this can take significant to be exported to an MPS file. For large models, this can take significant
time, so it's disabled by default. time, so it's disabled by default.
Examples
--------
```julia
# Read benchmark instance
instance = UnitCommitment.read_benchmark("matpower/case118/2017-02-01")
# Construct model (using state-of-the-art defaults)
model = UnitCommitment.build_model(
instance = instance,
optimizer = Cbc.Optimizer,
)
# Construct model (using customized formulation)
model = UnitCommitment.build_model(
instance = instance,
optimizer = Cbc.Optimizer,
formulation = Formulation(
pwl_costs = KnuOstWat2018.PwlCosts(),
ramping = MorLatRam2013.Ramping(),
startup_costs = MorLatRam2013.StartupCosts(),
transmission = ShiftFactorsFormulation(
isf_cutoff = 0.005,
lodf_cutoff = 0.001,
),
),
)
```
""" """
function build_model(; function build_model(;
instance::UnitCommitmentInstance, instance::UnitCommitmentInstance,
@@ -40,20 +77,30 @@ function build_model(;
end end
model[:obj] = AffExpr() model[:obj] = AffExpr()
model[:instance] = instance model[:instance] = instance
_setup_transmission(model, formulation.transmission) for g in instance.scenarios[1].thermal_units
for l in instance.lines _add_unit_commitment!(model, g, formulation)
_add_transmission_line!(model, l, formulation.transmission)
end end
for b in instance.buses for sc in instance.scenarios
_add_bus!(model, b) @info "Building scenario $(sc.name) with " *
"probability $(sc.probability)"
_setup_transmission(formulation.transmission, sc)
for l in sc.lines
_add_transmission_line!(model, l, formulation.transmission, sc)
end end
for g in instance.units for b in sc.buses
_add_unit!(model, g, formulation) _add_bus!(model, b, sc)
end end
for ps in instance.price_sensitive_loads for ps in sc.price_sensitive_loads
_add_price_sensitive_load!(model, ps) _add_price_sensitive_load!(model, ps, sc)
end
for g in sc.thermal_units
_add_unit_dispatch!(model, g, formulation, sc)
end
for pu in sc.profiled_units
_add_profiled_unit!(model, pu, sc)
end
_add_system_wide_eqs!(model, sc)
end end
_add_system_wide_eqs!(model)
@objective(model, Min, model[:obj]) @objective(model, Min, model[:obj])
end end
@info @sprintf("Built model in %.2f seconds", time_model) @info @sprintf("Built model in %.2f seconds", time_model)

View File

@@ -4,10 +4,11 @@
function _add_ramp_eqs!( function _add_ramp_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars, formulation_prod_vars::Gar1962.ProdVars,
formulation_ramping::ArrCon2000.Ramping, formulation_ramping::ArrCon2000.Ramping,
formulation_status_vars::Gar1962.StatusVars, formulation_status_vars::Gar1962.StatusVars,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
# TODO: Move upper case constants to model[:instance] # TODO: Move upper case constants to model[:instance]
RESERVES_WHEN_START_UP = true RESERVES_WHEN_START_UP = true
@@ -22,7 +23,7 @@ function _add_ramp_eqs!(
eq_ramp_down = _init(model, :eq_ramp_down) eq_ramp_down = _init(model, :eq_ramp_down)
eq_ramp_up = _init(model, :eq_ramp_up) eq_ramp_up = _init(model, :eq_ramp_up)
is_initially_on = (g.initial_status > 0) is_initially_on = (g.initial_status > 0)
reserve = _total_reserves(model, g) reserve = _total_reserves(model, g, sc)
# Gar1962.ProdVars # Gar1962.ProdVars
prod_above = model[:prod_above] prod_above = model[:prod_above]
@@ -37,10 +38,10 @@ function _add_ramp_eqs!(
if t == 1 if t == 1
if is_initially_on if is_initially_on
# min power is _not_ multiplied by is_on because if !is_on, then ramp up is irrelevant # min power is _not_ multiplied by is_on because if !is_on, then ramp up is irrelevant
eq_ramp_up[gn, t] = @constraint( eq_ramp_up[sc.name, gn, t] = @constraint(
model, model,
g.min_power[t] + g.min_power[t] +
prod_above[gn, t] + prod_above[sc.name, gn, t] +
(RESERVES_WHEN_RAMP_UP ? reserve[t] : 0.0) <= (RESERVES_WHEN_RAMP_UP ? reserve[t] : 0.0) <=
g.initial_power + RU g.initial_power + RU
) )
@@ -48,16 +49,16 @@ function _add_ramp_eqs!(
else else
max_prod_this_period = max_prod_this_period =
g.min_power[t] * is_on[gn, t] + g.min_power[t] * is_on[gn, t] +
prod_above[gn, t] + prod_above[sc.name, gn, t] +
( (
RESERVES_WHEN_START_UP || RESERVES_WHEN_RAMP_UP ? RESERVES_WHEN_START_UP || RESERVES_WHEN_RAMP_UP ?
reserve[t] : 0.0 reserve[t] : 0.0
) )
min_prod_last_period = min_prod_last_period =
g.min_power[t-1] * is_on[gn, t-1] + prod_above[gn, t-1] g.min_power[t-1] * is_on[gn, t-1] + prod_above[sc.name, gn, t-1]
# Equation (24) in Kneuven et al. (2020) # Equation (24) in Kneuven et al. (2020)
eq_ramp_up[gn, t] = @constraint( eq_ramp_up[sc.name, gn, t] = @constraint(
model, model,
max_prod_this_period - min_prod_last_period <= max_prod_this_period - min_prod_last_period <=
RU * is_on[gn, t-1] + SU * switch_on[gn, t] RU * is_on[gn, t-1] + SU * switch_on[gn, t]
@@ -71,24 +72,25 @@ function _add_ramp_eqs!(
# min_power + RD < initial_power < SD # min_power + RD < initial_power < SD
# then the generator should be able to shut down at time t = 1, # then the generator should be able to shut down at time t = 1,
# but the constraint below will force the unit to produce power # but the constraint below will force the unit to produce power
eq_ramp_down[gn, t] = @constraint( eq_ramp_down[sc.name, gn, t] = @constraint(
model, model,
g.initial_power - (g.min_power[t] + prod_above[gn, t]) <= RD g.initial_power -
(g.min_power[t] + prod_above[sc.name, gn, t]) <= RD
) )
end end
else else
max_prod_last_period = max_prod_last_period =
g.min_power[t-1] * is_on[gn, t-1] + g.min_power[t-1] * is_on[gn, t-1] +
prod_above[gn, t-1] + prod_above[sc.name, gn, t-1] +
( (
RESERVES_WHEN_SHUT_DOWN || RESERVES_WHEN_RAMP_DOWN ? RESERVES_WHEN_SHUT_DOWN || RESERVES_WHEN_RAMP_DOWN ?
reserve[t-1] : 0.0 reserve[t-1] : 0.0
) )
min_prod_this_period = min_prod_this_period =
g.min_power[t] * is_on[gn, t] + prod_above[gn, t] g.min_power[t] * is_on[gn, t] + prod_above[sc.name, gn, t]
# Equation (25) in Kneuven et al. (2020) # Equation (25) in Kneuven et al. (2020)
eq_ramp_down[gn, t] = @constraint( eq_ramp_down[sc.name, gn, t] = @constraint(
model, model,
max_prod_last_period - min_prod_this_period <= max_prod_last_period - min_prod_this_period <=
RD * is_on[gn, t] + SD * switch_off[gn, t] RD * is_on[gn, t] + SD * switch_off[gn, t]

View File

@@ -4,10 +4,11 @@
function _add_production_piecewise_linear_eqs!( function _add_production_piecewise_linear_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars, formulation_prod_vars::Gar1962.ProdVars,
formulation_pwl_costs::CarArr2006.PwlCosts, formulation_pwl_costs::CarArr2006.PwlCosts,
formulation_status_vars::StatusVarsFormulation, formulation_status_vars::StatusVarsFormulation,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
eq_prod_above_def = _init(model, :eq_prod_above_def) eq_prod_above_def = _init(model, :eq_prod_above_def)
eq_segprod_limit = _init(model, :eq_segprod_limit) eq_segprod_limit = _init(model, :eq_segprod_limit)
@@ -26,28 +27,32 @@ function _add_production_piecewise_linear_eqs!(
# difference between max power for segments k and k-1 so the # difference between max power for segments k and k-1 so the
# value of cost_segments[k].mw[t] is the max production *for # value of cost_segments[k].mw[t] is the max production *for
# that segment* # that segment*
eq_segprod_limit[gn, t, k] = @constraint( eq_segprod_limit[sc.name, gn, t, k] = @constraint(
model, model,
segprod[gn, t, k] <= g.cost_segments[k].mw[t] segprod[sc.name, gn, t, k] <= g.cost_segments[k].mw[t]
) )
# Also add this as an explicit upper bound on segprod to make the # Also add this as an explicit upper bound on segprod to make the
# solver's work a bit easier # solver's work a bit easier
set_upper_bound(segprod[gn, t, k], g.cost_segments[k].mw[t]) set_upper_bound(
segprod[sc.name, gn, t, k],
g.cost_segments[k].mw[t],
)
# Definition of production # Definition of production
# Equation (43) in Kneuven et al. (2020) # Equation (43) in Kneuven et al. (2020)
eq_prod_above_def[gn, t] = @constraint( eq_prod_above_def[sc.name, gn, t] = @constraint(
model, model,
prod_above[gn, t] == sum(segprod[gn, t, k] for k in 1:K) prod_above[sc.name, gn, t] ==
sum(segprod[sc.name, gn, t, k] for k in 1:K)
) )
# Objective function # Objective function
# Equation (44) in Kneuven et al. (2020) # Equation (44) in Kneuven et al. (2020)
add_to_expression!( add_to_expression!(
model[:obj], model[:obj],
segprod[gn, t, k], segprod[sc.name, gn, t, k],
g.cost_segments[k].cost[t], sc.probability * g.cost_segments[k].cost[t],
) )
end end
end end

View File

@@ -4,10 +4,11 @@
function _add_ramp_eqs!( function _add_ramp_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars, formulation_prod_vars::Gar1962.ProdVars,
formulation_ramping::DamKucRajAta2016.Ramping, formulation_ramping::DamKucRajAta2016.Ramping,
formulation_status_vars::Gar1962.StatusVars, formulation_status_vars::Gar1962.StatusVars,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
# TODO: Move upper case constants to model[:instance] # TODO: Move upper case constants to model[:instance]
RESERVES_WHEN_START_UP = true RESERVES_WHEN_START_UP = true
@@ -23,7 +24,7 @@ function _add_ramp_eqs!(
gn = g.name gn = g.name
eq_str_ramp_down = _init(model, :eq_str_ramp_down) eq_str_ramp_down = _init(model, :eq_str_ramp_down)
eq_str_ramp_up = _init(model, :eq_str_ramp_up) eq_str_ramp_up = _init(model, :eq_str_ramp_up)
reserve = _total_reserves(model, g) reserve = _total_reserves(model, g, sc)
# Gar1962.ProdVars # Gar1962.ProdVars
prod_above = model[:prod_above] prod_above = model[:prod_above]
@@ -48,15 +49,15 @@ function _add_ramp_eqs!(
# end # end
max_prod_this_period = max_prod_this_period =
prod_above[gn, t] + prod_above[sc.name, gn, t] +
(RESERVES_WHEN_START_UP || RESERVES_WHEN_RAMP_UP ? reserve[t] : 0.0) (RESERVES_WHEN_START_UP || RESERVES_WHEN_RAMP_UP ? reserve[t] : 0.0)
min_prod_last_period = 0.0 min_prod_last_period = 0.0
if t > 1 && time_invariant if t > 1 && time_invariant
min_prod_last_period = prod_above[gn, t-1] min_prod_last_period = prod_above[sc.name, gn, t-1]
# Equation (35) in Kneuven et al. (2020) # Equation (35) in Kneuven et al. (2020)
# Sparser version of (24) # Sparser version of (24)
eq_str_ramp_up[gn, t] = @constraint( eq_str_ramp_up[sc.name, gn, t] = @constraint(
model, model,
max_prod_this_period - min_prod_last_period <= max_prod_this_period - min_prod_last_period <=
(SU - g.min_power[t] - RU) * switch_on[gn, t] + (SU - g.min_power[t] - RU) * switch_on[gn, t] +
@@ -65,7 +66,8 @@ function _add_ramp_eqs!(
elseif (t == 1 && is_initially_on) || (t > 1 && !time_invariant) elseif (t == 1 && is_initially_on) || (t > 1 && !time_invariant)
if t > 1 if t > 1
min_prod_last_period = min_prod_last_period =
prod_above[gn, t-1] + g.min_power[t-1] * is_on[gn, t-1] prod_above[sc.name, gn, t-1] +
g.min_power[t-1] * is_on[gn, t-1]
else else
min_prod_last_period = max(g.initial_power, 0.0) min_prod_last_period = max(g.initial_power, 0.0)
end end
@@ -76,7 +78,7 @@ function _add_ramp_eqs!(
# Modified version of equation (35) in Kneuven et al. (2020) # Modified version of equation (35) in Kneuven et al. (2020)
# Equivalent to (24) # Equivalent to (24)
eq_str_ramp_up[gn, t] = @constraint( eq_str_ramp_up[sc.name, gn, t] = @constraint(
model, model,
max_prod_this_period - min_prod_last_period <= max_prod_this_period - min_prod_last_period <=
(SU - RU) * switch_on[gn, t] + RU * is_on[gn, t] (SU - RU) * switch_on[gn, t] + RU * is_on[gn, t]
@@ -88,7 +90,7 @@ function _add_ramp_eqs!(
t > 1 && (RESERVES_WHEN_SHUT_DOWN || RESERVES_WHEN_RAMP_DOWN) ? t > 1 && (RESERVES_WHEN_SHUT_DOWN || RESERVES_WHEN_RAMP_DOWN) ?
reserve[t-1] : 0.0 reserve[t-1] : 0.0
) )
min_prod_this_period = prod_above[gn, t] min_prod_this_period = prod_above[sc.name, gn, t]
on_last_period = 0.0 on_last_period = 0.0
if t > 1 if t > 1
on_last_period = is_on[gn, t-1] on_last_period = is_on[gn, t-1]
@@ -98,7 +100,7 @@ function _add_ramp_eqs!(
if t > 1 && time_invariant if t > 1 && time_invariant
# Equation (36) in Kneuven et al. (2020) # Equation (36) in Kneuven et al. (2020)
eq_str_ramp_down[gn, t] = @constraint( eq_str_ramp_down[sc.name, gn, t] = @constraint(
model, model,
max_prod_last_period - min_prod_this_period <= max_prod_last_period - min_prod_this_period <=
(SD - g.min_power[t] - RD) * switch_off[gn, t] + (SD - g.min_power[t] - RD) * switch_off[gn, t] +
@@ -110,7 +112,7 @@ function _add_ramp_eqs!(
# Modified version of equation (36) in Kneuven et al. (2020) # Modified version of equation (36) in Kneuven et al. (2020)
# Equivalent to (25) # Equivalent to (25)
eq_str_ramp_down[gn, t] = @constraint( eq_str_ramp_down[sc.name, gn, t] = @constraint(
model, model,
max_prod_last_period - min_prod_this_period <= max_prod_last_period - min_prod_this_period <=
(SD - RD) * switch_off[gn, t] + RD * on_last_period (SD - RD) * switch_off[gn, t] + RD * on_last_period

View File

@@ -4,34 +4,35 @@
function _add_production_vars!( function _add_production_vars!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars, formulation_prod_vars::Gar1962.ProdVars,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
prod_above = _init(model, :prod_above) prod_above = _init(model, :prod_above)
segprod = _init(model, :segprod) segprod = _init(model, :segprod)
for t in 1:model[:instance].time for t in 1:model[:instance].time
for k in 1:length(g.cost_segments) for k in 1:length(g.cost_segments)
segprod[g.name, t, k] = @variable(model, lower_bound = 0) segprod[sc.name, g.name, t, k] = @variable(model, lower_bound = 0)
end end
prod_above[g.name, t] = @variable(model, lower_bound = 0) prod_above[sc.name, g.name, t] = @variable(model, lower_bound = 0)
end end
return return
end end
function _add_production_limit_eqs!( function _add_production_limit_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars, formulation_prod_vars::Gar1962.ProdVars,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
eq_prod_limit = _init(model, :eq_prod_limit) eq_prod_limit = _init(model, :eq_prod_limit)
is_on = model[:is_on] is_on = model[:is_on]
prod_above = model[:prod_above] prod_above = model[:prod_above]
reserve = _total_reserves(model, g) reserve = _total_reserves(model, g, sc)
gn = g.name gn = g.name
for t in 1:model[:instance].time for t in 1:model[:instance].time
# Objective function terms for production costs # Objective function terms for production costs
# Part of (69) of Kneuven et al. (2020) as C^R_g * u_g(t) term # Part of (69) of Kneuven et al. (2020) as C^R_g * u_g(t) term
add_to_expression!(model[:obj], is_on[gn, t], g.min_power_cost[t])
# Production limit # Production limit
# Equation (18) in Kneuven et al. (2020) # Equation (18) in Kneuven et al. (2020)
@@ -42,9 +43,10 @@ function _add_production_limit_eqs!(
if power_diff < 1e-7 if power_diff < 1e-7
power_diff = 0.0 power_diff = 0.0
end end
eq_prod_limit[gn, t] = @constraint( eq_prod_limit[sc.name, gn, t] = @constraint(
model, model,
prod_above[gn, t] + reserve[t] <= power_diff * is_on[gn, t] prod_above[sc.name, gn, t] + reserve[t] <=
power_diff * is_on[gn, t]
) )
end end
end end

View File

@@ -4,10 +4,11 @@
function _add_production_piecewise_linear_eqs!( function _add_production_piecewise_linear_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars, formulation_prod_vars::Gar1962.ProdVars,
formulation_pwl_costs::Gar1962.PwlCosts, formulation_pwl_costs::Gar1962.PwlCosts,
formulation_status_vars::Gar1962.StatusVars, formulation_status_vars::Gar1962.StatusVars,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
eq_prod_above_def = _init(model, :eq_prod_above_def) eq_prod_above_def = _init(model, :eq_prod_above_def)
eq_segprod_limit = _init(model, :eq_segprod_limit) eq_segprod_limit = _init(model, :eq_segprod_limit)
@@ -24,9 +25,10 @@ function _add_production_piecewise_linear_eqs!(
for t in 1:model[:instance].time for t in 1:model[:instance].time
# Definition of production # Definition of production
# Equation (43) in Kneuven et al. (2020) # Equation (43) in Kneuven et al. (2020)
eq_prod_above_def[gn, t] = @constraint( eq_prod_above_def[sc.name, gn, t] = @constraint(
model, model,
prod_above[gn, t] == sum(segprod[gn, t, k] for k in 1:K) prod_above[sc.name, gn, t] ==
sum(segprod[sc.name, gn, t, k] for k in 1:K)
) )
for k in 1:K for k in 1:K
@@ -37,21 +39,25 @@ function _add_production_piecewise_linear_eqs!(
# difference between max power for segments k and k-1 so the # difference between max power for segments k and k-1 so the
# value of cost_segments[k].mw[t] is the max production *for # value of cost_segments[k].mw[t] is the max production *for
# that segment* # that segment*
eq_segprod_limit[gn, t, k] = @constraint( eq_segprod_limit[sc.name, gn, t, k] = @constraint(
model, model,
segprod[gn, t, k] <= g.cost_segments[k].mw[t] * is_on[gn, t] segprod[sc.name, gn, t, k] <=
g.cost_segments[k].mw[t] * is_on[gn, t]
) )
# Also add this as an explicit upper bound on segprod to make the # Also add this as an explicit upper bound on segprod to make the
# solver's work a bit easier # solver's work a bit easier
set_upper_bound(segprod[gn, t, k], g.cost_segments[k].mw[t]) set_upper_bound(
segprod[sc.name, gn, t, k],
g.cost_segments[k].mw[t],
)
# Objective function # Objective function
# Equation (44) in Kneuven et al. (2020) # Equation (44) in Kneuven et al. (2020)
add_to_expression!( add_to_expression!(
model[:obj], model[:obj],
segprod[gn, t, k], segprod[sc.name, gn, t, k],
g.cost_segments[k].cost[t], sc.probability * g.cost_segments[k].cost[t],
) )
end end
end end

View File

@@ -4,7 +4,7 @@
function _add_status_vars!( function _add_status_vars!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation_status_vars::Gar1962.StatusVars, formulation_status_vars::Gar1962.StatusVars,
)::Nothing )::Nothing
is_on = _init(model, :is_on) is_on = _init(model, :is_on)
@@ -20,13 +20,14 @@ function _add_status_vars!(
switch_on[g.name, t] = @variable(model, binary = true) switch_on[g.name, t] = @variable(model, binary = true)
switch_off[g.name, t] = @variable(model, binary = true) switch_off[g.name, t] = @variable(model, binary = true)
end end
add_to_expression!(model[:obj], is_on[g.name, t], g.min_power_cost[t])
end end
return return
end end
function _add_status_eqs!( function _add_status_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation_status_vars::Gar1962.StatusVars, formulation_status_vars::Gar1962.StatusVars,
)::Nothing )::Nothing
eq_binary_link = _init(model, :eq_binary_link) eq_binary_link = _init(model, :eq_binary_link)

View File

@@ -4,10 +4,11 @@
function _add_production_piecewise_linear_eqs!( function _add_production_piecewise_linear_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars, formulation_prod_vars::Gar1962.ProdVars,
formulation_pwl_costs::KnuOstWat2018.PwlCosts, formulation_pwl_costs::KnuOstWat2018.PwlCosts,
formulation_status_vars::Gar1962.StatusVars, formulation_status_vars::Gar1962.StatusVars,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
eq_prod_above_def = _init(model, :eq_prod_above_def) eq_prod_above_def = _init(model, :eq_prod_above_def)
eq_segprod_limit_a = _init(model, :eq_segprod_limit_a) eq_segprod_limit_a = _init(model, :eq_segprod_limit_a)
@@ -58,27 +59,27 @@ function _add_production_piecewise_linear_eqs!(
if g.min_uptime > 1 if g.min_uptime > 1
# Equation (46) in Kneuven et al. (2020) # Equation (46) in Kneuven et al. (2020)
eq_segprod_limit_a[gn, t, k] = @constraint( eq_segprod_limit_a[sc.name, gn, t, k] = @constraint(
model, model,
segprod[gn, t, k] <= segprod[sc.name, gn, t, k] <=
g.cost_segments[k].mw[t] * is_on[gn, t] - g.cost_segments[k].mw[t] * is_on[gn, t] -
Cv * switch_on[gn, t] - Cv * switch_on[gn, t] -
(t < T ? Cw * switch_off[gn, t+1] : 0.0) (t < T ? Cw * switch_off[gn, t+1] : 0.0)
) )
else else
# Equation (47a)/(48a) in Kneuven et al. (2020) # Equation (47a)/(48a) in Kneuven et al. (2020)
eq_segprod_limit_b[gn, t, k] = @constraint( eq_segprod_limit_b[sc.name, gn, t, k] = @constraint(
model, model,
segprod[gn, t, k] <= segprod[sc.name, gn, t, k] <=
g.cost_segments[k].mw[t] * is_on[gn, t] - g.cost_segments[k].mw[t] * is_on[gn, t] -
Cv * switch_on[gn, t] - Cv * switch_on[gn, t] -
(t < T ? max(0, Cv - Cw) * switch_off[gn, t+1] : 0.0) (t < T ? max(0, Cv - Cw) * switch_off[gn, t+1] : 0.0)
) )
# Equation (47b)/(48b) in Kneuven et al. (2020) # Equation (47b)/(48b) in Kneuven et al. (2020)
eq_segprod_limit_c[gn, t, k] = @constraint( eq_segprod_limit_c[sc.name, gn, t, k] = @constraint(
model, model,
segprod[gn, t, k] <= segprod[sc.name, gn, t, k] <=
g.cost_segments[k].mw[t] * is_on[gn, t] - g.cost_segments[k].mw[t] * is_on[gn, t] -
max(0, Cw - Cv) * switch_on[gn, t] - max(0, Cw - Cv) * switch_on[gn, t] -
(t < T ? Cw * switch_off[gn, t+1] : 0.0) (t < T ? Cw * switch_off[gn, t+1] : 0.0)
@@ -87,22 +88,26 @@ function _add_production_piecewise_linear_eqs!(
# Definition of production # Definition of production
# Equation (43) in Kneuven et al. (2020) # Equation (43) in Kneuven et al. (2020)
eq_prod_above_def[gn, t] = @constraint( eq_prod_above_def[sc.name, gn, t] = @constraint(
model, model,
prod_above[gn, t] == sum(segprod[gn, t, k] for k in 1:K) prod_above[sc.name, gn, t] ==
sum(segprod[sc.name, gn, t, k] for k in 1:K)
) )
# Objective function # Objective function
# Equation (44) in Kneuven et al. (2020) # Equation (44) in Kneuven et al. (2020)
add_to_expression!( add_to_expression!(
model[:obj], model[:obj],
segprod[gn, t, k], segprod[sc.name, gn, t, k],
g.cost_segments[k].cost[t], g.cost_segments[k].cost[t],
) )
# Also add an explicit upper bound on segprod to make the solver's # Also add an explicit upper bound on segprod to make the solver's
# work a bit easier # work a bit easier
set_upper_bound(segprod[gn, t, k], g.cost_segments[k].mw[t]) set_upper_bound(
segprod[sc.name, gn, t, k],
g.cost_segments[k].mw[t],
)
end end
end end
end end

View File

@@ -4,10 +4,11 @@
function _add_ramp_eqs!( function _add_ramp_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars, formulation_prod_vars::Gar1962.ProdVars,
formulation_ramping::MorLatRam2013.Ramping, formulation_ramping::MorLatRam2013.Ramping,
formulation_status_vars::Gar1962.StatusVars, formulation_status_vars::Gar1962.StatusVars,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
# TODO: Move upper case constants to model[:instance] # TODO: Move upper case constants to model[:instance]
RESERVES_WHEN_START_UP = true RESERVES_WHEN_START_UP = true
@@ -22,7 +23,7 @@ function _add_ramp_eqs!(
gn = g.name gn = g.name
eq_ramp_down = _init(model, :eq_ramp_down) eq_ramp_down = _init(model, :eq_ramp_down)
eq_ramp_up = _init(model, :eq_str_ramp_up) eq_ramp_up = _init(model, :eq_str_ramp_up)
reserve = _total_reserves(model, g) reserve = _total_reserves(model, g, sc)
# Gar1962.ProdVars # Gar1962.ProdVars
prod_above = model[:prod_above] prod_above = model[:prod_above]
@@ -39,10 +40,10 @@ function _add_ramp_eqs!(
# Ramp up limit # Ramp up limit
if t == 1 if t == 1
if is_initially_on if is_initially_on
eq_ramp_up[gn, t] = @constraint( eq_ramp_up[sc.name, gn, t] = @constraint(
model, model,
g.min_power[t] + g.min_power[t] +
prod_above[gn, t] + prod_above[sc.name, gn, t] +
(RESERVES_WHEN_RAMP_UP ? reserve[t] : 0.0) <= (RESERVES_WHEN_RAMP_UP ? reserve[t] : 0.0) <=
g.initial_power + RU g.initial_power + RU
) )
@@ -58,13 +59,14 @@ function _add_ramp_eqs!(
SU = g.startup_limit SU = g.startup_limit
max_prod_this_period = max_prod_this_period =
g.min_power[t] * is_on[gn, t] + g.min_power[t] * is_on[gn, t] +
prod_above[gn, t] + prod_above[sc.name, gn, t] +
( (
RESERVES_WHEN_START_UP || RESERVES_WHEN_RAMP_UP ? RESERVES_WHEN_START_UP || RESERVES_WHEN_RAMP_UP ?
reserve[t] : 0.0 reserve[t] : 0.0
) )
min_prod_last_period = min_prod_last_period =
g.min_power[t-1] * is_on[gn, t-1] + prod_above[gn, t-1] g.min_power[t-1] * is_on[gn, t-1] +
prod_above[sc.name, gn, t-1]
eq_ramp_up[gn, t] = @constraint( eq_ramp_up[gn, t] = @constraint(
model, model,
max_prod_this_period - min_prod_last_period <= max_prod_this_period - min_prod_last_period <=
@@ -74,11 +76,11 @@ function _add_ramp_eqs!(
# Equation (26) in Kneuven et al. (2020) # Equation (26) in Kneuven et al. (2020)
# TODO: what if RU < SU? places too stringent upper bound # TODO: what if RU < SU? places too stringent upper bound
# prod_above[gn, t] when starting up, and creates diff with (24). # prod_above[gn, t] when starting up, and creates diff with (24).
eq_ramp_up[gn, t] = @constraint( eq_ramp_up[sc.name, gn, t] = @constraint(
model, model,
prod_above[gn, t] + prod_above[sc.name, gn, t] +
(RESERVES_WHEN_RAMP_UP ? reserve[t] : 0.0) - (RESERVES_WHEN_RAMP_UP ? reserve[t] : 0.0) -
prod_above[gn, t-1] <= RU prod_above[sc.name, gn, t-1] <= RU
) )
end end
end end
@@ -90,9 +92,10 @@ function _add_ramp_eqs!(
# min_power + RD < initial_power < SD # min_power + RD < initial_power < SD
# then the generator should be able to shut down at time t = 1, # then the generator should be able to shut down at time t = 1,
# but the constraint below will force the unit to produce power # but the constraint below will force the unit to produce power
eq_ramp_down[gn, t] = @constraint( eq_ramp_down[sc.name, gn, t] = @constraint(
model, model,
g.initial_power - (g.min_power[t] + prod_above[gn, t]) <= RD g.initial_power -
(g.min_power[t] + prod_above[sc.name, gn, t]) <= RD
) )
end end
else else
@@ -102,13 +105,13 @@ function _add_ramp_eqs!(
SD = g.shutdown_limit SD = g.shutdown_limit
max_prod_last_period = max_prod_last_period =
g.min_power[t-1] * is_on[gn, t-1] + g.min_power[t-1] * is_on[gn, t-1] +
prod_above[gn, t-1] + prod_above[sc.name, gn, t-1] +
( (
RESERVES_WHEN_SHUT_DOWN || RESERVES_WHEN_RAMP_DOWN ? RESERVES_WHEN_SHUT_DOWN || RESERVES_WHEN_RAMP_DOWN ?
reserve[t-1] : 0.0 reserve[t-1] : 0.0
) )
min_prod_this_period = min_prod_this_period =
g.min_power[t] * is_on[gn, t] + prod_above[gn, t] g.min_power[t] * is_on[gn, t] + prod_above[sc.name, gn, t]
eq_ramp_down[gn, t] = @constraint( eq_ramp_down[gn, t] = @constraint(
model, model,
max_prod_last_period - min_prod_this_period <= max_prod_last_period - min_prod_this_period <=
@@ -118,11 +121,11 @@ function _add_ramp_eqs!(
# Equation (27) in Kneuven et al. (2020) # Equation (27) in Kneuven et al. (2020)
# TODO: Similar to above, what to do if shutting down in time t # TODO: Similar to above, what to do if shutting down in time t
# and RD < SD? There is a difference with (25). # and RD < SD? There is a difference with (25).
eq_ramp_down[gn, t] = @constraint( eq_ramp_down[sc.name, gn, t] = @constraint(
model, model,
prod_above[gn, t-1] + prod_above[sc.name, gn, t-1] +
(RESERVES_WHEN_RAMP_DOWN ? reserve[t-1] : 0.0) - (RESERVES_WHEN_RAMP_DOWN ? reserve[t-1] : 0.0) -
prod_above[gn, t] <= RD prod_above[sc.name, gn, t] <= RD
) )
end end
end end

View File

@@ -4,7 +4,7 @@
function _add_startup_cost_eqs!( function _add_startup_cost_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation::MorLatRam2013.StartupCosts, formulation::MorLatRam2013.StartupCosts,
)::Nothing )::Nothing
eq_startup_choose = _init(model, :eq_startup_choose) eq_startup_choose = _init(model, :eq_startup_choose)

View File

@@ -4,15 +4,16 @@
function _add_ramp_eqs!( function _add_ramp_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars, formulation_prod_vars::Gar1962.ProdVars,
formulation_ramping::PanGua2016.Ramping, formulation_ramping::PanGua2016.Ramping,
formulation_status_vars::Gar1962.StatusVars, formulation_status_vars::Gar1962.StatusVars,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
# TODO: Move upper case constants to model[:instance] # TODO: Move upper case constants to model[:instance]
RESERVES_WHEN_SHUT_DOWN = true RESERVES_WHEN_SHUT_DOWN = true
gn = g.name gn = g.name
reserve = _total_reserves(model, g) reserve = _total_reserves(model, g, sc)
eq_str_prod_limit = _init(model, :eq_str_prod_limit) eq_str_prod_limit = _init(model, :eq_str_prod_limit)
eq_prod_limit_ramp_up_extra_period = eq_prod_limit_ramp_up_extra_period =
_init(model, :eq_prod_limit_ramp_up_extra_period) _init(model, :eq_prod_limit_ramp_up_extra_period)
@@ -52,9 +53,9 @@ function _add_ramp_eqs!(
# Generalization of (20) # Generalization of (20)
# Necessary that if any of the switch_on = 1 in the sum, # Necessary that if any of the switch_on = 1 in the sum,
# then switch_off[gn, t+1] = 0 # then switch_off[gn, t+1] = 0
eq_str_prod_limit[gn, t] = @constraint( eq_str_prod_limit[sc.name, gn, t] = @constraint(
model, model,
prod_above[gn, t] + prod_above[sc.name, gn, t] +
g.min_power[t] * is_on[gn, t] + g.min_power[t] * is_on[gn, t] +
reserve[t] <= reserve[t] <=
Pbar * is_on[gn, t] - Pbar * is_on[gn, t] -
@@ -67,9 +68,10 @@ function _add_ramp_eqs!(
if UT - 2 < TRU if UT - 2 < TRU
# Equation (40) in Kneuven et al. (2020) # Equation (40) in Kneuven et al. (2020)
# Covers an additional time period of the ramp-up trajectory, compared to (38) # Covers an additional time period of the ramp-up trajectory, compared to (38)
eq_prod_limit_ramp_up_extra_period[gn, t] = @constraint( eq_prod_limit_ramp_up_extra_period[sc.name, gn, t] =
@constraint(
model, model,
prod_above[gn, t] + prod_above[sc.name, gn, t] +
g.min_power[t] * is_on[gn, t] + g.min_power[t] * is_on[gn, t] +
reserve[t] <= reserve[t] <=
Pbar * is_on[gn, t] - sum( Pbar * is_on[gn, t] - sum(
@@ -84,9 +86,9 @@ function _add_ramp_eqs!(
if KSD > 0 if KSD > 0
KSU = min(TRU, UT - 2 - KSD, t - 1) KSU = min(TRU, UT - 2 - KSD, t - 1)
# Equation (41) in Kneuven et al. (2020) # Equation (41) in Kneuven et al. (2020)
eq_prod_limit_shutdown_trajectory[gn, t] = @constraint( eq_prod_limit_shutdown_trajectory[sc.name, gn, t] = @constraint(
model, model,
prod_above[gn, t] + prod_above[sc.name, gn, t] +
g.min_power[t] * is_on[gn, t] + g.min_power[t] * is_on[gn, t] +
(RESERVES_WHEN_SHUT_DOWN ? reserve[t] : 0.0) <= (RESERVES_WHEN_SHUT_DOWN ? reserve[t] : 0.0) <=
Pbar * is_on[gn, t] - sum( Pbar * is_on[gn, t] - sum(

View File

@@ -4,10 +4,11 @@
function _add_ramp_eqs!( function _add_ramp_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
::Gar1962.ProdVars, ::Gar1962.ProdVars,
::WanHob2016.Ramping, ::WanHob2016.Ramping,
::Gar1962.StatusVars, ::Gar1962.StatusVars,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
is_initially_on = (g.initial_status > 0) is_initially_on = (g.initial_status > 0)
SU = g.startup_limit SU = g.startup_limit
@@ -38,41 +39,43 @@ function _add_ramp_eqs!(
for t in 1:model[:instance].time for t in 1:model[:instance].time
@constraint( @constraint(
model, model,
prod_above[gn, t] + (is_on[gn, t] * minp[t]) <= mfg[rn, gn, t] prod_above[sc.name, gn, t] + (is_on[gn, t] * minp[t]) <=
mfg[sc.name, gn, t]
) # Eq. (19) in Wang & Hobbs (2016) ) # Eq. (19) in Wang & Hobbs (2016)
@constraint(model, mfg[rn, gn, t] <= is_on[gn, t] * maxp[t]) # Eq. (22) in Wang & Hobbs (2016) @constraint(model, mfg[sc.name, gn, t] <= is_on[gn, t] * maxp[t]) # Eq. (22) in Wang & Hobbs (2016)
if t != model[:instance].time if t != model[:instance].time
@constraint( @constraint(
model, model,
minp[t] * (is_on[gn, t+1] + is_on[gn, t] - 1) <= minp[t] * (is_on[gn, t+1] + is_on[gn, t] - 1) <=
prod_above[gn, t] - dwflexiramp[rn, gn, t] + prod_above[sc.name, gn, t] -
(is_on[gn, t] * minp[t]) dwflexiramp[sc.name, rn, gn, t] + (is_on[gn, t] * minp[t])
) # first inequality of Eq. (20) in Wang & Hobbs (2016) ) # first inequality of Eq. (20) in Wang & Hobbs (2016)
@constraint( @constraint(
model, model,
prod_above[gn, t] - dwflexiramp[rn, gn, t] + prod_above[sc.name, gn, t] -
dwflexiramp[sc.name, rn, gn, t] +
(is_on[gn, t] * minp[t]) <= (is_on[gn, t] * minp[t]) <=
mfg[rn, gn, t+1] + (maxp[t] * (1 - is_on[gn, t+1])) mfg[sc.name, gn, t+1] + (maxp[t] * (1 - is_on[gn, t+1]))
) # second inequality of Eq. (20) in Wang & Hobbs (2016) ) # second inequality of Eq. (20) in Wang & Hobbs (2016)
@constraint( @constraint(
model, model,
minp[t] * (is_on[gn, t+1] + is_on[gn, t] - 1) <= minp[t] * (is_on[gn, t+1] + is_on[gn, t] - 1) <=
prod_above[gn, t] + prod_above[sc.name, gn, t] +
upflexiramp[rn, gn, t] + upflexiramp[sc.name, rn, gn, t] +
(is_on[gn, t] * minp[t]) (is_on[gn, t] * minp[t])
) # first inequality of Eq. (21) in Wang & Hobbs (2016) ) # first inequality of Eq. (21) in Wang & Hobbs (2016)
@constraint( @constraint(
model, model,
prod_above[gn, t] + prod_above[sc.name, gn, t] +
upflexiramp[rn, gn, t] + upflexiramp[sc.name, rn, gn, t] +
(is_on[gn, t] * minp[t]) <= (is_on[gn, t] * minp[t]) <=
mfg[rn, gn, t+1] + (maxp[t] * (1 - is_on[gn, t+1])) mfg[sc.name, gn, t+1] + (maxp[t] * (1 - is_on[gn, t+1]))
) # second inequality of Eq. (21) in Wang & Hobbs (2016) ) # second inequality of Eq. (21) in Wang & Hobbs (2016)
if t != 1 if t != 1
@constraint( @constraint(
model, model,
mfg[rn, gn, t] <= mfg[sc.name, gn, t] <=
prod_above[gn, t-1] + prod_above[sc.name, gn, t-1] +
(is_on[gn, t-1] * minp[t]) + (is_on[gn, t-1] * minp[t]) +
(RU * is_on[gn, t-1]) + (RU * is_on[gn, t-1]) +
(SU * (is_on[gn, t] - is_on[gn, t-1])) + (SU * (is_on[gn, t] - is_on[gn, t-1])) +
@@ -80,8 +83,13 @@ function _add_ramp_eqs!(
) # Eq. (23) in Wang & Hobbs (2016) ) # Eq. (23) in Wang & Hobbs (2016)
@constraint( @constraint(
model, model,
(prod_above[gn, t-1] + (is_on[gn, t-1] * minp[t])) - (
(prod_above[gn, t] + (is_on[gn, t] * minp[t])) <= prod_above[sc.name, gn, t-1] +
(is_on[gn, t-1] * minp[t])
) - (
prod_above[sc.name, gn, t] +
(is_on[gn, t] * minp[t])
) <=
RD * is_on[gn, t] + RD * is_on[gn, t] +
SD * (is_on[gn, t-1] - is_on[gn, t]) + SD * (is_on[gn, t-1] - is_on[gn, t]) +
maxp[t] * (1 - is_on[gn, t-1]) maxp[t] * (1 - is_on[gn, t-1])
@@ -89,7 +97,7 @@ function _add_ramp_eqs!(
else else
@constraint( @constraint(
model, model,
mfg[rn, gn, t] <= mfg[sc.name, gn, t] <=
initial_power + initial_power +
(RU * is_initially_on) + (RU * is_initially_on) +
(SU * (is_on[gn, t] - is_initially_on)) + (SU * (is_on[gn, t] - is_initially_on)) +
@@ -97,8 +105,10 @@ function _add_ramp_eqs!(
) # Eq. (23) in Wang & Hobbs (2016) for the first time period ) # Eq. (23) in Wang & Hobbs (2016) for the first time period
@constraint( @constraint(
model, model,
initial_power - initial_power - (
(prod_above[gn, t] + (is_on[gn, t] * minp[t])) <= prod_above[sc.name, gn, t] +
(is_on[gn, t] * minp[t])
) <=
RD * is_on[gn, t] + RD * is_on[gn, t] +
SD * (is_initially_on - is_on[gn, t]) + SD * (is_initially_on - is_on[gn, t]) +
maxp[t] * (1 - is_initially_on) maxp[t] * (1 - is_initially_on)
@@ -106,7 +116,7 @@ function _add_ramp_eqs!(
end end
@constraint( @constraint(
model, model,
mfg[rn, gn, t] <= mfg[sc.name, gn, t] <=
(SD * (is_on[gn, t] - is_on[gn, t+1])) + (SD * (is_on[gn, t] - is_on[gn, t+1])) +
(maxp[t] * is_on[gn, t+1]) (maxp[t] * is_on[gn, t+1])
) # Eq. (24) in Wang & Hobbs (2016) ) # Eq. (24) in Wang & Hobbs (2016)
@@ -114,11 +124,12 @@ function _add_ramp_eqs!(
model, model,
-RD * is_on[gn, t+1] - -RD * is_on[gn, t+1] -
SD * (is_on[gn, t] - is_on[gn, t+1]) - SD * (is_on[gn, t] - is_on[gn, t+1]) -
maxp[t] * (1 - is_on[gn, t]) <= upflexiramp[rn, gn, t] maxp[t] * (1 - is_on[gn, t]) <=
upflexiramp[sc.name, rn, gn, t]
) # first inequality of Eq. (26) in Wang & Hobbs (2016) ) # first inequality of Eq. (26) in Wang & Hobbs (2016)
@constraint( @constraint(
model, model,
upflexiramp[rn, gn, t] <= upflexiramp[sc.name, rn, gn, t] <=
RU * is_on[gn, t] + RU * is_on[gn, t] +
SU * (is_on[gn, t+1] - is_on[gn, t]) + SU * (is_on[gn, t+1] - is_on[gn, t]) +
maxp[t] * (1 - is_on[gn, t+1]) maxp[t] * (1 - is_on[gn, t+1])
@@ -126,11 +137,12 @@ function _add_ramp_eqs!(
@constraint( @constraint(
model, model,
-RU * is_on[gn, t] - SU * (is_on[gn, t+1] - is_on[gn, t]) - -RU * is_on[gn, t] - SU * (is_on[gn, t+1] - is_on[gn, t]) -
maxp[t] * (1 - is_on[gn, t+1]) <= dwflexiramp[rn, gn, t] maxp[t] * (1 - is_on[gn, t+1]) <=
dwflexiramp[sc.name, rn, gn, t]
) # first inequality of Eq. (27) in Wang & Hobbs (2016) ) # first inequality of Eq. (27) in Wang & Hobbs (2016)
@constraint( @constraint(
model, model,
dwflexiramp[rn, gn, t] <= dwflexiramp[sc.name, rn, gn, t] <=
RD * is_on[gn, t+1] + RD * is_on[gn, t+1] +
SD * (is_on[gn, t] - is_on[gn, t+1]) + SD * (is_on[gn, t] - is_on[gn, t+1]) +
maxp[t] * (1 - is_on[gn, t]) maxp[t] * (1 - is_on[gn, t])
@@ -138,26 +150,27 @@ function _add_ramp_eqs!(
@constraint( @constraint(
model, model,
-maxp[t] * is_on[gn, t] + minp[t] * is_on[gn, t+1] <= -maxp[t] * is_on[gn, t] + minp[t] * is_on[gn, t+1] <=
upflexiramp[rn, gn, t] upflexiramp[sc.name, rn, gn, t]
) # first inequality of Eq. (28) in Wang & Hobbs (2016) ) # first inequality of Eq. (28) in Wang & Hobbs (2016)
@constraint( @constraint(
model, model,
upflexiramp[rn, gn, t] <= maxp[t] * is_on[gn, t+1] upflexiramp[sc.name, rn, gn, t] <= maxp[t] * is_on[gn, t+1]
) # second inequality of Eq. (28) in Wang & Hobbs (2016) ) # second inequality of Eq. (28) in Wang & Hobbs (2016)
@constraint( @constraint(
model, model,
-maxp[t] * is_on[gn, t+1] <= dwflexiramp[rn, gn, t] -maxp[t] * is_on[gn, t+1] <=
dwflexiramp[sc.name, rn, gn, t]
) # first inequality of Eq. (29) in Wang & Hobbs (2016) ) # first inequality of Eq. (29) in Wang & Hobbs (2016)
@constraint( @constraint(
model, model,
dwflexiramp[rn, gn, t] <= dwflexiramp[sc.name, rn, gn, t] <=
(maxp[t] * is_on[gn, t]) - (minp[t] * is_on[gn, t+1]) (maxp[t] * is_on[gn, t]) - (minp[t] * is_on[gn, t+1])
) # second inequality of Eq. (29) in Wang & Hobbs (2016) ) # second inequality of Eq. (29) in Wang & Hobbs (2016)
else else
@constraint( @constraint(
model, model,
mfg[rn, gn, t] <= mfg[sc.name, gn, t] <=
prod_above[gn, t-1] + prod_above[sc.name, gn, t-1] +
(is_on[gn, t-1] * minp[t]) + (is_on[gn, t-1] * minp[t]) +
(RU * is_on[gn, t-1]) + (RU * is_on[gn, t-1]) +
(SU * (is_on[gn, t] - is_on[gn, t-1])) + (SU * (is_on[gn, t] - is_on[gn, t-1])) +
@@ -165,8 +178,11 @@ function _add_ramp_eqs!(
) # Eq. (23) in Wang & Hobbs (2016) for the last time period ) # Eq. (23) in Wang & Hobbs (2016) for the last time period
@constraint( @constraint(
model, model,
(prod_above[gn, t-1] + (is_on[gn, t-1] * minp[t])) - (
(prod_above[gn, t] + (is_on[gn, t] * minp[t])) <= prod_above[sc.name, gn, t-1] +
(is_on[gn, t-1] * minp[t])
) -
(prod_above[sc.name, gn, t] + (is_on[gn, t] * minp[t])) <=
RD * is_on[gn, t] + RD * is_on[gn, t] +
SD * (is_on[gn, t-1] - is_on[gn, t]) + SD * (is_on[gn, t-1] - is_on[gn, t]) +
maxp[t] * (1 - is_on[gn, t-1]) maxp[t] * (1 - is_on[gn, t-1])

View File

@@ -4,6 +4,7 @@
""" """
Formulation described in: Formulation described in:
B. Wang and B. F. Hobbs, "Real-Time Markets for Flexiramp: A Stochastic B. Wang and B. F. Hobbs, "Real-Time Markets for Flexiramp: A Stochastic
Unit Commitment-Based Analysis," in IEEE Transactions on Power Systems, Unit Commitment-Based Analysis," in IEEE Transactions on Power Systems,
vol. 31, no. 2, pp. 846-860, March 2016, doi: 10.1109/TPWRS.2015.2411268. vol. 31, no. 2, pp. 846-860, March 2016, doi: 10.1109/TPWRS.2015.2411268.

View File

@@ -2,22 +2,30 @@
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved. # Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details. # Released under the modified BSD license. See COPYING.md for more details.
function _add_bus!(model::JuMP.Model, b::Bus)::Nothing function _add_bus!(
model::JuMP.Model,
b::Bus,
sc::UnitCommitmentScenario,
)::Nothing
net_injection = _init(model, :expr_net_injection) net_injection = _init(model, :expr_net_injection)
curtail = _init(model, :curtail) curtail = _init(model, :curtail)
for t in 1:model[:instance].time for t in 1:model[:instance].time
# Fixed load # Fixed load
net_injection[b.name, t] = AffExpr(-b.load[t]) net_injection[sc.name, b.name, t] = AffExpr(-b.load[t])
# Load curtailment # Load curtailment
curtail[b.name, t] = curtail[sc.name, b.name, t] =
@variable(model, lower_bound = 0, upper_bound = b.load[t]) @variable(model, lower_bound = 0, upper_bound = b.load[t])
add_to_expression!(net_injection[b.name, t], curtail[b.name, t], 1.0) add_to_expression!(
net_injection[sc.name, b.name, t],
curtail[sc.name, b.name, t],
1.0,
)
add_to_expression!( add_to_expression!(
model[:obj], model[:obj],
curtail[b.name, t], curtail[sc.name, b.name, t],
model[:instance].power_balance_penalty[t], sc.power_balance_penalty[t] * sc.probability,
) )
end end
return return

View File

@@ -6,43 +6,43 @@ function _add_transmission_line!(
model::JuMP.Model, model::JuMP.Model,
lm::TransmissionLine, lm::TransmissionLine,
f::ShiftFactorsFormulation, f::ShiftFactorsFormulation,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
overflow = _init(model, :overflow) overflow = _init(model, :overflow)
for t in 1:model[:instance].time for t in 1:model[:instance].time
overflow[lm.name, t] = @variable(model, lower_bound = 0) overflow[sc.name, lm.name, t] = @variable(model, lower_bound = 0)
add_to_expression!( add_to_expression!(
model[:obj], model[:obj],
overflow[lm.name, t], overflow[sc.name, lm.name, t],
lm.flow_limit_penalty[t], lm.flow_limit_penalty[t] * sc.probability,
) )
end end
return return
end end
function _setup_transmission( function _setup_transmission(
model::JuMP.Model,
formulation::ShiftFactorsFormulation, formulation::ShiftFactorsFormulation,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
instance = model[:instance]
isf = formulation.precomputed_isf isf = formulation.precomputed_isf
lodf = formulation.precomputed_lodf lodf = formulation.precomputed_lodf
if length(instance.buses) == 1 if length(sc.buses) == 1
isf = zeros(0, 0) isf = zeros(0, 0)
lodf = zeros(0, 0) lodf = zeros(0, 0)
elseif isf === nothing elseif isf === nothing
@info "Computing injection shift factors..." @info "Computing injection shift factors..."
time_isf = @elapsed begin time_isf = @elapsed begin
isf = UnitCommitment._injection_shift_factors( isf = UnitCommitment._injection_shift_factors(
lines = instance.lines, buses = sc.buses,
buses = instance.buses, lines = sc.lines,
) )
end end
@info @sprintf("Computed ISF in %.2f seconds", time_isf) @info @sprintf("Computed ISF in %.2f seconds", time_isf)
@info "Computing line outage factors..." @info "Computing line outage factors..."
time_lodf = @elapsed begin time_lodf = @elapsed begin
lodf = UnitCommitment._line_outage_factors( lodf = UnitCommitment._line_outage_factors(
lines = instance.lines, buses = sc.buses,
buses = instance.buses, lines = sc.lines,
isf = isf, isf = isf,
) )
end end
@@ -55,7 +55,7 @@ function _setup_transmission(
isf[abs.(isf).<formulation.isf_cutoff] .= 0 isf[abs.(isf).<formulation.isf_cutoff] .= 0
lodf[abs.(lodf).<formulation.lodf_cutoff] .= 0 lodf[abs.(lodf).<formulation.lodf_cutoff] .= 0
end end
model[:isf] = isf sc.isf = isf
model[:lodf] = lodf sc.lodf = lodf
return return
end end

View File

@@ -5,21 +5,26 @@
function _add_price_sensitive_load!( function _add_price_sensitive_load!(
model::JuMP.Model, model::JuMP.Model,
ps::PriceSensitiveLoad, ps::PriceSensitiveLoad,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
loads = _init(model, :loads) loads = _init(model, :loads)
net_injection = _init(model, :expr_net_injection) net_injection = _init(model, :expr_net_injection)
for t in 1:model[:instance].time for t in 1:model[:instance].time
# Decision variable # Decision variable
loads[ps.name, t] = loads[sc.name, ps.name, t] =
@variable(model, lower_bound = 0, upper_bound = ps.demand[t]) @variable(model, lower_bound = 0, upper_bound = ps.demand[t])
# Objective function terms # Objective function terms
add_to_expression!(model[:obj], loads[ps.name, t], -ps.revenue[t]) add_to_expression!(
model[:obj],
loads[sc.name, ps.name, t],
-ps.revenue[t] * sc.probability,
)
# Net injection # Net injection
add_to_expression!( add_to_expression!(
net_injection[ps.bus.name, t], net_injection[sc.name, ps.bus.name, t],
loads[ps.name, t], loads[sc.name, ps.name, t],
-1.0, -1.0,
) )
end end

View File

@@ -0,0 +1,35 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
function _add_profiled_unit!(
model::JuMP.Model,
pu::ProfiledUnit,
sc::UnitCommitmentScenario,
)::Nothing
punits = _init(model, :prod_profiled)
net_injection = _init(model, :expr_net_injection)
for t in 1:model[:instance].time
# Decision variable
punits[sc.name, pu.name, t] = @variable(
model,
lower_bound = pu.min_power[t],
upper_bound = pu.max_power[t]
)
# Objective function terms
add_to_expression!(
model[:obj],
punits[sc.name, pu.name, t],
pu.cost[t] * sc.probability,
)
# Net injection
add_to_expression!(
net_injection[sc.name, pu.bus.name, t],
punits[sc.name, pu.name, t],
1.0,
)
end
return
end

View File

@@ -18,7 +18,7 @@ function _injection_shift_factors(;
lines::Array{TransmissionLine}, lines::Array{TransmissionLine},
) )
susceptance = _susceptance_matrix(lines) susceptance = _susceptance_matrix(lines)
incidence = _reduced_incidence_matrix(lines = lines, buses = buses) incidence = _reduced_incidence_matrix(buses = buses, lines = lines)
laplacian = transpose(incidence) * susceptance * incidence laplacian = transpose(incidence) * susceptance * incidence
isf = susceptance * incidence * inv(Array(laplacian)) isf = susceptance * incidence * inv(Array(laplacian))
return isf return isf

View File

@@ -9,6 +9,27 @@ abstract type StartupCostsFormulation end
abstract type StatusVarsFormulation end abstract type StatusVarsFormulation end
abstract type ProductionVarsFormulation end abstract type ProductionVarsFormulation end
"""
struct Formulation
prod_vars::ProductionVarsFormulation
pwl_costs::PiecewiseLinearCostsFormulation
ramping::RampingFormulation
startup_costs::StartupCostsFormulation
status_vars::StatusVarsFormulation
transmission::TransmissionFormulation
end
Struct provided to `build_model` that holds various formulation components.
# Fields
- `prod_vars`: Formulation for the production decision variables
- `pwl_costs`: Formulation for the piecewise linear costs
- `ramping`: Formulation for ramping constraints
- `startup_costs`: Formulation for time-dependent start-up costs
- `status_vars`: Formulation for the status variables (e.g. `is_on`, `is_off`)
- `transmission`: Formulation for transmission and N-1 security constraints
"""
struct Formulation struct Formulation
prod_vars::ProductionVarsFormulation prod_vars::ProductionVarsFormulation
pwl_costs::PiecewiseLinearCostsFormulation pwl_costs::PiecewiseLinearCostsFormulation
@@ -38,10 +59,10 @@ end
""" """
struct ShiftFactorsFormulation <: TransmissionFormulation struct ShiftFactorsFormulation <: TransmissionFormulation
isf_cutoff::Float64 isf_cutoff::Float64 = 0.005
lodf_cutoff::Float64 lodf_cutoff::Float64 = 0.001
precomputed_isf::Union{Nothing,Matrix{Float64}} precomputed_isf=nothing
precomputed_lodf::Union{Nothing,Matrix{Float64}} precomputed_lodf=nothing
end end
Transmission formulation based on Injection Shift Factors (ISF) and Line Transmission formulation based on Injection Shift Factors (ISF) and Line
@@ -49,15 +70,15 @@ Outage Distribution Factors (LODF). Constraints are enforced in a lazy way.
Arguments Arguments
--------- ---------
- `precomputed_isf::Union{Matrix{Float64},Nothing} = nothing`: - `precomputed_isf`:
the injection shift factors matrix. If not provided, it will be computed. the injection shift factors matrix. If not provided, it will be computed.
- `precomputed_lodf::Union{Matrix{Float64},Nothing} = nothing`: - `precomputed_lodf`:
the line outage distribution factors matrix. If not provided, it will be the line outage distribution factors matrix. If not provided, it will be
computed. computed.
- `isf_cutoff::Float64 = 0.005`: - `isf_cutoff`:
the cutoff that should be applied to the ISF matrix. Entries with magnitude the cutoff that should be applied to the ISF matrix. Entries with magnitude
smaller than this value will be set to zero. smaller than this value will be set to zero.
- `lodf_cutoff::Float64 = 0.001`: - `lodf_cutoff`:
the cutoff that should be applied to the LODF matrix. Entries with magnitude the cutoff that should be applied to the LODF matrix. Entries with magnitude
smaller than this value will be set to zero. smaller than this value will be set to zero.
""" """

View File

@@ -2,54 +2,68 @@
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved. # Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details. # Released under the modified BSD license. See COPYING.md for more details.
function _add_system_wide_eqs!(model::JuMP.Model)::Nothing function _add_system_wide_eqs!(
_add_net_injection_eqs!(model) model::JuMP.Model,
_add_spinning_reserve_eqs!(model) sc::UnitCommitmentScenario,
_add_flexiramp_reserve_eqs!(model) )::Nothing
_add_net_injection_eqs!(model, sc)
_add_spinning_reserve_eqs!(model, sc)
_add_flexiramp_reserve_eqs!(model, sc)
return return
end end
function _add_net_injection_eqs!(model::JuMP.Model)::Nothing function _add_net_injection_eqs!(
model::JuMP.Model,
sc::UnitCommitmentScenario,
)::Nothing
T = model[:instance].time T = model[:instance].time
net_injection = _init(model, :net_injection) net_injection = _init(model, :net_injection)
eq_net_injection = _init(model, :eq_net_injection) eq_net_injection = _init(model, :eq_net_injection)
eq_power_balance = _init(model, :eq_power_balance) eq_power_balance = _init(model, :eq_power_balance)
for t in 1:T, b in model[:instance].buses for t in 1:T, b in sc.buses
n = net_injection[b.name, t] = @variable(model) n = net_injection[sc.name, b.name, t] = @variable(model)
eq_net_injection[b.name, t] = eq_net_injection[sc.name, b.name, t] = @constraint(
@constraint(model, -n + model[:expr_net_injection][b.name, t] == 0) model,
-n + model[:expr_net_injection][sc.name, b.name, t] == 0
)
end end
for t in 1:T for t in 1:T
eq_power_balance[t] = @constraint( eq_power_balance[sc.name, t] = @constraint(
model, model,
sum(net_injection[b.name, t] for b in model[:instance].buses) == 0 sum(net_injection[sc.name, b.name, t] for b in sc.buses) == 0
) )
end end
return return
end end
function _add_spinning_reserve_eqs!(model::JuMP.Model)::Nothing function _add_spinning_reserve_eqs!(
instance = model[:instance] model::JuMP.Model,
sc::UnitCommitmentScenario,
)::Nothing
T = model[:instance].time
eq_min_spinning_reserve = _init(model, :eq_min_spinning_reserve) eq_min_spinning_reserve = _init(model, :eq_min_spinning_reserve)
for r in instance.reserves for r in sc.reserves
r.type == "spinning" || continue r.type == "spinning" || continue
for t in 1:instance.time for t in 1:T
# Equation (68) in Kneuven et al. (2020) # Equation (68) in Kneuven et al. (2020)
# As in Morales-España et al. (2013a) # As in Morales-España et al. (2013a)
# Akin to the alternative formulation with max_power_avail # Akin to the alternative formulation with max_power_avail
# from Carrión and Arroyo (2006) and Ostrowski et al. (2012) # from Carrión and Arroyo (2006) and Ostrowski et al. (2012)
eq_min_spinning_reserve[r.name, t] = @constraint( eq_min_spinning_reserve[sc.name, r.name, t] = @constraint(
model, model,
sum(model[:reserve][r.name, g.name, t] for g in r.units) + sum(
model[:reserve_shortfall][r.name, t] >= r.amount[t] model[:reserve][sc.name, r.name, g.name, t] for
g in r.thermal_units
) + model[:reserve_shortfall][sc.name, r.name, t] >=
r.amount[t]
) )
# Account for shortfall contribution to objective # Account for shortfall contribution to objective
if r.shortfall_penalty >= 0 if r.shortfall_penalty >= 0
add_to_expression!( add_to_expression!(
model[:obj], model[:obj],
r.shortfall_penalty, r.shortfall_penalty * sc.probability,
model[:reserve_shortfall][r.name, t], model[:reserve_shortfall][sc.name, r.name, t],
) )
end end
end end
@@ -57,7 +71,10 @@ function _add_spinning_reserve_eqs!(model::JuMP.Model)::Nothing
return return
end end
function _add_flexiramp_reserve_eqs!(model::JuMP.Model)::Nothing function _add_flexiramp_reserve_eqs!(
model::JuMP.Model,
sc::UnitCommitmentScenario,
)::Nothing
# Note: The flexpramp requirements in Wang & Hobbs (2016) are imposed as hard constraints # Note: The flexpramp requirements in Wang & Hobbs (2016) are imposed as hard constraints
# through Eq. (17) and Eq. (18). The constraints eq_min_upflexiramp and eq_min_dwflexiramp # through Eq. (17) and Eq. (18). The constraints eq_min_upflexiramp and eq_min_dwflexiramp
# provided below are modified versions of Eq. (17) and Eq. (18), respectively, in that # provided below are modified versions of Eq. (17) and Eq. (18), respectively, in that
@@ -65,29 +82,37 @@ function _add_flexiramp_reserve_eqs!(model::JuMP.Model)::Nothing
# objective function. # objective function.
eq_min_upflexiramp = _init(model, :eq_min_upflexiramp) eq_min_upflexiramp = _init(model, :eq_min_upflexiramp)
eq_min_dwflexiramp = _init(model, :eq_min_dwflexiramp) eq_min_dwflexiramp = _init(model, :eq_min_dwflexiramp)
instance = model[:instance] T = model[:instance].time
for r in instance.reserves for r in sc.reserves
r.type == "flexiramp" || continue r.type == "flexiramp" || continue
for t in 1:instance.time for t in 1:T
# Eq. (17) in Wang & Hobbs (2016) # Eq. (17) in Wang & Hobbs (2016)
eq_min_upflexiramp[r.name, t] = @constraint( eq_min_upflexiramp[sc.name, r.name, t] = @constraint(
model, model,
sum(model[:upflexiramp][r.name, g.name, t] for g in r.units) + model[:upflexiramp_shortfall][r.name, t] >= r.amount[t] sum(
model[:upflexiramp][sc.name, r.name, g.name, t] for
g in r.thermal_units
) + model[:upflexiramp_shortfall][sc.name, r.name, t] >=
r.amount[t]
) )
# Eq. (18) in Wang & Hobbs (2016) # Eq. (18) in Wang & Hobbs (2016)
eq_min_dwflexiramp[r.name, t] = @constraint( eq_min_dwflexiramp[sc.name, r.name, t] = @constraint(
model, model,
sum(model[:dwflexiramp][r.name, g.name, t] for g in r.units) + model[:dwflexiramp_shortfall][r.name, t] >= r.amount[t] sum(
model[:dwflexiramp][sc.name, r.name, g.name, t] for
g in r.thermal_units
) + model[:dwflexiramp_shortfall][sc.name, r.name, t] >=
r.amount[t]
) )
# Account for flexiramp shortfall contribution to objective # Account for flexiramp shortfall contribution to objective
if r.shortfall_penalty >= 0 if r.shortfall_penalty >= 0
add_to_expression!( add_to_expression!(
model[:obj], model[:obj],
r.shortfall_penalty, r.shortfall_penalty * sc.probability,
( (
model[:upflexiramp_shortfall][r.name, t] + model[:upflexiramp_shortfall][sc.name, r.name, t] +
model[:dwflexiramp_shortfall][r.name, t] model[:dwflexiramp_shortfall][sc.name, r.name, t]
), ),
) )
end end

View File

@@ -2,7 +2,13 @@
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved. # Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details. # Released under the modified BSD license. See COPYING.md for more details.
function _add_unit!(model::JuMP.Model, g::Unit, formulation::Formulation) # Function for adding variables, constraints, and objective function terms
# related to the binary commitment, startup and shutdown decisions of units
function _add_unit_commitment!(
model::JuMP.Model,
g::ThermalUnit,
formulation::Formulation,
)
if !all(g.must_run) && any(g.must_run) if !all(g.must_run) && any(g.must_run)
error("Partially must-run units are not currently supported") error("Partially must-run units are not currently supported")
end end
@@ -11,22 +17,41 @@ function _add_unit!(model::JuMP.Model, g::Unit, formulation::Formulation)
end end
# Variables # Variables
_add_production_vars!(model, g, formulation.prod_vars)
_add_spinning_reserve_vars!(model, g)
_add_flexiramp_reserve_vars!(model, g)
_add_startup_shutdown_vars!(model, g) _add_startup_shutdown_vars!(model, g)
_add_status_vars!(model, g, formulation.status_vars) _add_status_vars!(model, g, formulation.status_vars)
# Constraints and objective function # Constraints and objective function
_add_min_uptime_downtime_eqs!(model, g) _add_min_uptime_downtime_eqs!(model, g)
_add_net_injection_eqs!(model, g) _add_startup_cost_eqs!(model, g, formulation.startup_costs)
_add_production_limit_eqs!(model, g, formulation.prod_vars) _add_status_eqs!(model, g, formulation.status_vars)
_add_commitment_status_eqs!(model, g)
return
end
# Function for adding variables, constraints, and objective function terms
# related to the continuous dispatch decisions of units
function _add_unit_dispatch!(
model::JuMP.Model,
g::ThermalUnit,
formulation::Formulation,
sc::UnitCommitmentScenario,
)
# Variables
_add_production_vars!(model, g, formulation.prod_vars, sc)
_add_spinning_reserve_vars!(model, g, sc)
_add_flexiramp_reserve_vars!(model, g, sc)
# Constraints and objective function
_add_net_injection_eqs!(model, g, sc)
_add_production_limit_eqs!(model, g, formulation.prod_vars, sc)
_add_production_piecewise_linear_eqs!( _add_production_piecewise_linear_eqs!(
model, model,
g, g,
formulation.prod_vars, formulation.prod_vars,
formulation.pwl_costs, formulation.pwl_costs,
formulation.status_vars, formulation.status_vars,
sc,
) )
_add_ramp_eqs!( _add_ramp_eqs!(
model, model,
@@ -34,26 +59,31 @@ function _add_unit!(model::JuMP.Model, g::Unit, formulation::Formulation)
formulation.prod_vars, formulation.prod_vars,
formulation.ramping, formulation.ramping,
formulation.status_vars, formulation.status_vars,
sc,
) )
_add_startup_cost_eqs!(model, g, formulation.startup_costs) _add_startup_shutdown_limit_eqs!(model, g, sc)
_add_startup_shutdown_limit_eqs!(model, g)
_add_status_eqs!(model, g, formulation.status_vars)
return return
end end
_is_initially_on(g::Unit)::Float64 = (g.initial_status > 0 ? 1.0 : 0.0) _is_initially_on(g::ThermalUnit)::Float64 = (g.initial_status > 0 ? 1.0 : 0.0)
function _add_spinning_reserve_vars!(model::JuMP.Model, g::Unit)::Nothing function _add_spinning_reserve_vars!(
model::JuMP.Model,
g::ThermalUnit,
sc::UnitCommitmentScenario,
)::Nothing
reserve = _init(model, :reserve) reserve = _init(model, :reserve)
reserve_shortfall = _init(model, :reserve_shortfall) reserve_shortfall = _init(model, :reserve_shortfall)
for r in g.reserves for r in g.reserves
r.type == "spinning" || continue r.type == "spinning" || continue
for t in 1:model[:instance].time for t in 1:model[:instance].time
reserve[r.name, g.name, t] = @variable(model, lower_bound = 0) reserve[sc.name, r.name, g.name, t] =
if (r.name, t) keys(reserve_shortfall) @variable(model, lower_bound = 0)
reserve_shortfall[r.name, t] = @variable(model, lower_bound = 0) if (sc.name, r.name, t) keys(reserve_shortfall)
reserve_shortfall[sc.name, r.name, t] =
@variable(model, lower_bound = 0)
if r.shortfall_penalty < 0 if r.shortfall_penalty < 0
set_upper_bound(reserve_shortfall[r.name, t], 0.0) set_upper_bound(reserve_shortfall[sc.name, r.name, t], 0.0)
end end
end end
end end
@@ -61,27 +91,37 @@ function _add_spinning_reserve_vars!(model::JuMP.Model, g::Unit)::Nothing
return return
end end
function _add_flexiramp_reserve_vars!(model::JuMP.Model, g::Unit)::Nothing function _add_flexiramp_reserve_vars!(
model::JuMP.Model,
g::ThermalUnit,
sc::UnitCommitmentScenario,
)::Nothing
upflexiramp = _init(model, :upflexiramp) upflexiramp = _init(model, :upflexiramp)
upflexiramp_shortfall = _init(model, :upflexiramp_shortfall) upflexiramp_shortfall = _init(model, :upflexiramp_shortfall)
mfg = _init(model, :mfg) mfg = _init(model, :mfg)
dwflexiramp = _init(model, :dwflexiramp) dwflexiramp = _init(model, :dwflexiramp)
dwflexiramp_shortfall = _init(model, :dwflexiramp_shortfall) dwflexiramp_shortfall = _init(model, :dwflexiramp_shortfall)
for r in g.reserves
r.type == "flexiramp" || continue
for t in 1:model[:instance].time for t in 1:model[:instance].time
# maximum feasible generation, \bar{g_{its}} in Wang & Hobbs (2016) # maximum feasible generation, \bar{g_{its}} in Wang & Hobbs (2016)
mfg[r.name, g.name, t] = @variable(model, lower_bound = 0) mfg[sc.name, g.name, t] = @variable(model, lower_bound = 0)
upflexiramp[r.name, g.name, t] = @variable(model) # up-flexiramp, ur_{it} in Wang & Hobbs (2016) for r in g.reserves
dwflexiramp[r.name, g.name, t] = @variable(model) # down-flexiramp, dr_{it} in Wang & Hobbs (2016) r.type == "flexiramp" || continue
if (r.name, t) keys(upflexiramp_shortfall) upflexiramp[sc.name, r.name, g.name, t] = @variable(model) # up-flexiramp, ur_{it} in Wang & Hobbs (2016)
upflexiramp_shortfall[r.name, t] = dwflexiramp[sc.name, r.name, g.name, t] = @variable(model) # down-flexiramp, dr_{it} in Wang & Hobbs (2016)
if (sc.name, r.name, t) keys(upflexiramp_shortfall)
upflexiramp_shortfall[sc.name, r.name, t] =
@variable(model, lower_bound = 0) @variable(model, lower_bound = 0)
dwflexiramp_shortfall[r.name, t] = dwflexiramp_shortfall[sc.name, r.name, t] =
@variable(model, lower_bound = 0) @variable(model, lower_bound = 0)
if r.shortfall_penalty < 0 if r.shortfall_penalty < 0
set_upper_bound(upflexiramp_shortfall[r.name, t], 0.0) set_upper_bound(
set_upper_bound(dwflexiramp_shortfall[r.name, t], 0.0) upflexiramp_shortfall[sc.name, r.name, t],
0.0,
)
set_upper_bound(
dwflexiramp_shortfall[sc.name, r.name, t],
0.0,
)
end end
end end
end end
@@ -89,7 +129,7 @@ function _add_flexiramp_reserve_vars!(model::JuMP.Model, g::Unit)::Nothing
return return
end end
function _add_startup_shutdown_vars!(model::JuMP.Model, g::Unit)::Nothing function _add_startup_shutdown_vars!(model::JuMP.Model, g::ThermalUnit)::Nothing
startup = _init(model, :startup) startup = _init(model, :startup)
for t in 1:model[:instance].time for t in 1:model[:instance].time
for s in 1:length(g.startup_categories) for s in 1:length(g.startup_categories)
@@ -99,32 +139,36 @@ function _add_startup_shutdown_vars!(model::JuMP.Model, g::Unit)::Nothing
return return
end end
function _add_startup_shutdown_limit_eqs!(model::JuMP.Model, g::Unit)::Nothing function _add_startup_shutdown_limit_eqs!(
model::JuMP.Model,
g::ThermalUnit,
sc::UnitCommitmentScenario,
)::Nothing
eq_shutdown_limit = _init(model, :eq_shutdown_limit) eq_shutdown_limit = _init(model, :eq_shutdown_limit)
eq_startup_limit = _init(model, :eq_startup_limit) eq_startup_limit = _init(model, :eq_startup_limit)
is_on = model[:is_on] is_on = model[:is_on]
prod_above = model[:prod_above] prod_above = model[:prod_above]
reserve = _total_reserves(model, g) reserve = _total_reserves(model, g, sc)
switch_off = model[:switch_off] switch_off = model[:switch_off]
switch_on = model[:switch_on] switch_on = model[:switch_on]
T = model[:instance].time T = model[:instance].time
for t in 1:T for t in 1:T
# Startup limit # Startup limit
eq_startup_limit[g.name, t] = @constraint( eq_startup_limit[sc.name, g.name, t] = @constraint(
model, model,
prod_above[g.name, t] + reserve[t] <= prod_above[sc.name, g.name, t] + reserve[t] <=
(g.max_power[t] - g.min_power[t]) * is_on[g.name, t] - (g.max_power[t] - g.min_power[t]) * is_on[g.name, t] -
max(0, g.max_power[t] - g.startup_limit) * switch_on[g.name, t] max(0, g.max_power[t] - g.startup_limit) * switch_on[g.name, t]
) )
# Shutdown limit # Shutdown limit
if g.initial_power > g.shutdown_limit if g.initial_power > g.shutdown_limit
eq_shutdown_limit[g.name, 0] = eq_shutdown_limit[sc.name, g.name, 0] =
@constraint(model, switch_off[g.name, 1] <= 0) @constraint(model, switch_off[g.name, 1] <= 0)
end end
if t < T if t < T
eq_shutdown_limit[g.name, t] = @constraint( eq_shutdown_limit[sc.name, g.name, t] = @constraint(
model, model,
prod_above[g.name, t] <= prod_above[sc.name, g.name, t] <=
(g.max_power[t] - g.min_power[t]) * is_on[g.name, t] - (g.max_power[t] - g.min_power[t]) * is_on[g.name, t] -
max(0, g.max_power[t] - g.shutdown_limit) * max(0, g.max_power[t] - g.shutdown_limit) *
switch_off[g.name, t+1] switch_off[g.name, t+1]
@@ -136,51 +180,55 @@ end
function _add_ramp_eqs!( function _add_ramp_eqs!(
model::JuMP.Model, model::JuMP.Model,
g::Unit, g::ThermalUnit,
formulation::RampingFormulation, formulation::RampingFormulation,
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
prod_above = model[:prod_above] prod_above = model[:prod_above]
reserve = _total_reserves(model, g) reserve = _total_reserves(model, g, sc)
eq_ramp_up = _init(model, :eq_ramp_up) eq_ramp_up = _init(model, :eq_ramp_up)
eq_ramp_down = _init(model, :eq_ramp_down) eq_ramp_down = _init(model, :eq_ramp_down)
for t in 1:model[:instance].time for t in 1:model[:instance].time
# Ramp up limit # Ramp up limit
if t == 1 if t == 1
if _is_initially_on(g) == 1 if _is_initially_on(g) == 1
eq_ramp_up[g.name, t] = @constraint( eq_ramp_up[sc.name, g.name, t] = @constraint(
model, model,
prod_above[g.name, t] + reserve[t] <= prod_above[sc.name, g.name, t] + reserve[t] <=
(g.initial_power - g.min_power[t]) + g.ramp_up_limit (g.initial_power - g.min_power[t]) + g.ramp_up_limit
) )
end end
else else
eq_ramp_up[g.name, t] = @constraint( eq_ramp_up[sc.name, g.name, t] = @constraint(
model, model,
prod_above[g.name, t] + reserve[t] <= prod_above[sc.name, g.name, t] + reserve[t] <=
prod_above[g.name, t-1] + g.ramp_up_limit prod_above[sc.name, g.name, t-1] + g.ramp_up_limit
) )
end end
# Ramp down limit # Ramp down limit
if t == 1 if t == 1
if _is_initially_on(g) == 1 if _is_initially_on(g) == 1
eq_ramp_down[g.name, t] = @constraint( eq_ramp_down[sc.name, g.name, t] = @constraint(
model, model,
prod_above[g.name, t] >= prod_above[sc.name, g.name, t] >=
(g.initial_power - g.min_power[t]) - g.ramp_down_limit (g.initial_power - g.min_power[t]) - g.ramp_down_limit
) )
end end
else else
eq_ramp_down[g.name, t] = @constraint( eq_ramp_down[sc.name, g.name, t] = @constraint(
model, model,
prod_above[g.name, t] >= prod_above[sc.name, g.name, t] >=
prod_above[g.name, t-1] - g.ramp_down_limit prod_above[sc.name, g.name, t-1] - g.ramp_down_limit
) )
end end
end end
end end
function _add_min_uptime_downtime_eqs!(model::JuMP.Model, g::Unit)::Nothing function _add_min_uptime_downtime_eqs!(
model::JuMP.Model,
g::ThermalUnit,
)::Nothing
is_on = model[:is_on] is_on = model[:is_on]
switch_off = model[:switch_off] switch_off = model[:switch_off]
switch_on = model[:switch_on] switch_on = model[:switch_on]
@@ -223,30 +271,52 @@ function _add_min_uptime_downtime_eqs!(model::JuMP.Model, g::Unit)::Nothing
end end
end end
function _add_net_injection_eqs!(model::JuMP.Model, g::Unit)::Nothing function _add_commitment_status_eqs!(model::JuMP.Model, g::ThermalUnit)::Nothing
is_on = model[:is_on]
T = model[:instance].time
eq_commitment_status = _init(model, :eq_commitment_status)
for t in 1:T
if g.commitment_status[t] !== nothing
eq_commitment_status[g.name, t] = @constraint(
model,
is_on[g.name, t] == (g.commitment_status[t] ? 1.0 : 0.0)
)
end
end
return
end
function _add_net_injection_eqs!(
model::JuMP.Model,
g::ThermalUnit,
sc::UnitCommitmentScenario,
)::Nothing
expr_net_injection = model[:expr_net_injection] expr_net_injection = model[:expr_net_injection]
for t in 1:model[:instance].time for t in 1:model[:instance].time
# Add to net injection expression # Add to net injection expression
add_to_expression!( add_to_expression!(
expr_net_injection[g.bus.name, t], expr_net_injection[sc.name, g.bus.name, t],
model[:prod_above][g.name, t], model[:prod_above][sc.name, g.name, t],
1.0, 1.0,
) )
add_to_expression!( add_to_expression!(
expr_net_injection[g.bus.name, t], expr_net_injection[sc.name, g.bus.name, t],
model[:is_on][g.name, t], model[:is_on][g.name, t],
g.min_power[t], g.min_power[t],
) )
end end
end end
function _total_reserves(model, g)::Vector function _total_reserves(model, g, sc)::Vector
T = model[:instance].time T = model[:instance].time
reserve = [0.0 for _ in 1:T] reserve = [0.0 for _ in 1:T]
spinning_reserves = [r for r in g.reserves if r.type == "spinning"] spinning_reserves = [r for r in g.reserves if r.type == "spinning"]
if !isempty(spinning_reserves) if !isempty(spinning_reserves)
reserve += [ reserve += [
sum(model[:reserve][r.name, g.name, t] for r in spinning_reserves) for t in 1:model[:instance].time sum(
model[:reserve][sc.name, r.name, g.name, t] for
r in spinning_reserves
) for t in 1:model[:instance].time
] ]
end end
return reserve return reserve

View File

@@ -10,37 +10,43 @@ solution. Useful for computing LMPs.
""" """
function fix!(model::JuMP.Model, solution::AbstractDict)::Nothing function fix!(model::JuMP.Model, solution::AbstractDict)::Nothing
instance, T = model[:instance], model[:instance].time instance, T = model[:instance], model[:instance].time
"Thermal production (MW)" keys(solution) ?
solution = Dict("s1" => solution) : nothing
is_on = model[:is_on] is_on = model[:is_on]
prod_above = model[:prod_above] prod_above = model[:prod_above]
reserve = model[:reserve] reserve = model[:reserve]
for g in instance.units for sc in instance.scenarios
for g in sc.thermal_units
for t in 1:T for t in 1:T
is_on_value = round(solution["Is on"][g.name][t]) is_on_value = round(solution[sc.name]["Is on"][g.name][t])
prod_value = prod_value = round(
round(solution["Production (MW)"][g.name][t], digits = 5) solution[sc.name]["Thermal production (MW)"][g.name][t],
digits = 5,
)
JuMP.fix(is_on[g.name, t], is_on_value, force = true) JuMP.fix(is_on[g.name, t], is_on_value, force = true)
JuMP.fix( JuMP.fix(
prod_above[g.name, t], prod_above[sc.name, g.name, t],
prod_value - is_on_value * g.min_power[t], prod_value - is_on_value * g.min_power[t],
force = true, force = true,
) )
end end
end end
for r in instance.reserves for r in sc.reserves
r.type == "spinning" || continue r.type == "spinning" || continue
for g in r.units for g in r.thermal_units
for t in 1:T for t in 1:T
reserve_value = round( reserve_value = round(
solution["Spinning reserve (MW)"][r.name][g.name][t], solution[sc.name]["Spinning reserve (MW)"][r.name][g.name][t],
digits = 5, digits = 5,
) )
JuMP.fix( JuMP.fix(
reserve[r.name, g.name, t], reserve[sc.name, r.name, g.name, t],
reserve_value, reserve_value,
force = true, force = true,
) )
end end
end end
end end
end
return return
end end

View File

@@ -5,13 +5,15 @@
function _enforce_transmission( function _enforce_transmission(
model::JuMP.Model, model::JuMP.Model,
violations::Vector{_Violation}, violations::Vector{_Violation},
sc::UnitCommitmentScenario,
)::Nothing )::Nothing
for v in violations for v in violations
_enforce_transmission( _enforce_transmission(
model = model, model = model,
sc = sc,
violation = v, violation = v,
isf = model[:isf], isf = sc.isf,
lodf = model[:lodf], lodf = sc.lodf,
) )
end end
return return
@@ -19,6 +21,7 @@ end
function _enforce_transmission(; function _enforce_transmission(;
model::JuMP.Model, model::JuMP.Model,
sc::UnitCommitmentScenario,
violation::_Violation, violation::_Violation,
isf::Matrix{Float64}, isf::Matrix{Float64},
lodf::Matrix{Float64}, lodf::Matrix{Float64},
@@ -31,19 +34,21 @@ function _enforce_transmission(;
if violation.outage_line === nothing if violation.outage_line === nothing
limit = violation.monitored_line.normal_flow_limit[violation.time] limit = violation.monitored_line.normal_flow_limit[violation.time]
@info @sprintf( @info @sprintf(
" %8.3f MW overflow in %-5s time %3d (pre-contingency)", " %8.3f MW overflow in %-5s time %3d (pre-contingency, scenario %s)",
violation.amount, violation.amount,
violation.monitored_line.name, violation.monitored_line.name,
violation.time, violation.time,
sc.name,
) )
else else
limit = violation.monitored_line.emergency_flow_limit[violation.time] limit = violation.monitored_line.emergency_flow_limit[violation.time]
@info @sprintf( @info @sprintf(
" %8.3f MW overflow in %-5s time %3d (outage: line %s)", " %8.3f MW overflow in %-5s time %3d (outage: line %s, scenario %s)",
violation.amount, violation.amount,
violation.monitored_line.name, violation.monitored_line.name,
violation.time, violation.time,
violation.outage_line.name, violation.outage_line.name,
sc.name,
) )
end end
@@ -51,7 +56,7 @@ function _enforce_transmission(;
t = violation.time t = violation.time
flow = @variable(model, base_name = "flow[$fm,$t]") flow = @variable(model, base_name = "flow[$fm,$t]")
v = overflow[violation.monitored_line.name, violation.time] v = overflow[sc.name, violation.monitored_line.name, violation.time]
@constraint(model, flow <= limit + v) @constraint(model, flow <= limit + v)
@constraint(model, -flow <= limit + v) @constraint(model, -flow <= limit + v)
@@ -59,23 +64,23 @@ function _enforce_transmission(;
@constraint( @constraint(
model, model,
flow == sum( flow == sum(
net_injection[b.name, violation.time] * net_injection[sc.name, b.name, violation.time] *
isf[violation.monitored_line.offset, b.offset] for isf[violation.monitored_line.offset, b.offset] for
b in instance.buses if b.offset > 0 b in sc.buses if b.offset > 0
) )
) )
else else
@constraint( @constraint(
model, model,
flow == sum( flow == sum(
net_injection[b.name, violation.time] * ( net_injection[sc.name, b.name, violation.time] * (
isf[violation.monitored_line.offset, b.offset] + ( isf[violation.monitored_line.offset, b.offset] + (
lodf[ lodf[
violation.monitored_line.offset, violation.monitored_line.offset,
violation.outage_line.offset, violation.outage_line.offset,
] * isf[violation.outage_line.offset, b.offset] ] * isf[violation.outage_line.offset, b.offset]
) )
) for b in instance.buses if b.offset > 0 ) for b in sc.buses if b.offset > 0
) )
) )
end end

View File

@@ -5,40 +5,36 @@
import Base.Threads: @threads import Base.Threads: @threads
function _find_violations( function _find_violations(
model::JuMP.Model; model::JuMP.Model,
sc::UnitCommitmentScenario;
max_per_line::Int, max_per_line::Int,
max_per_period::Int, max_per_period::Int,
) )
instance = model[:instance] instance = model[:instance]
net_injection = model[:net_injection] net_injection = model[:net_injection]
overflow = model[:overflow] overflow = model[:overflow]
length(instance.buses) > 1 || return [] length(sc.buses) > 1 || return []
violations = [] violations = []
@info "Verifying transmission limits..."
time_screening = @elapsed begin non_slack_buses = [b for b in sc.buses if b.offset > 0]
non_slack_buses = [b for b in instance.buses if b.offset > 0]
net_injection_values = [ net_injection_values = [
value(net_injection[b.name, t]) for b in non_slack_buses, value(net_injection[sc.name, b.name, t]) for b in non_slack_buses,
t in 1:instance.time t in 1:instance.time
] ]
overflow_values = [ overflow_values = [
value(overflow[lm.name, t]) for lm in instance.lines, value(overflow[sc.name, lm.name, t]) for lm in sc.lines,
t in 1:instance.time t in 1:instance.time
] ]
violations = UnitCommitment._find_violations( violations = UnitCommitment._find_violations(
instance = instance, instance = instance,
sc = sc,
net_injections = net_injection_values, net_injections = net_injection_values,
overflow = overflow_values, overflow = overflow_values,
isf = model[:isf], isf = sc.isf,
lodf = model[:lodf], lodf = sc.lodf,
max_per_line = max_per_line, max_per_line = max_per_line,
max_per_period = max_per_period, max_per_period = max_per_period,
) )
end
@info @sprintf(
"Verified transmission limits in %.2f seconds",
time_screening
)
return violations return violations
end end
@@ -64,6 +60,7 @@ matrix, where L is the number of transmission lines.
""" """
function _find_violations(; function _find_violations(;
instance::UnitCommitmentInstance, instance::UnitCommitmentInstance,
sc::UnitCommitmentScenario,
net_injections::Array{Float64,2}, net_injections::Array{Float64,2},
overflow::Array{Float64,2}, overflow::Array{Float64,2},
isf::Array{Float64,2}, isf::Array{Float64,2},
@@ -71,8 +68,8 @@ function _find_violations(;
max_per_line::Int, max_per_line::Int,
max_per_period::Int, max_per_period::Int,
)::Array{_Violation,1} )::Array{_Violation,1}
B = length(instance.buses) - 1 B = length(sc.buses) - 1
L = length(instance.lines) L = length(sc.lines)
T = instance.time T = instance.time
K = nthreads() K = nthreads()
@@ -93,17 +90,17 @@ function _find_violations(;
post_v::Array{Float64} = zeros(L, L, K) # post_v[lm, lc, thread] post_v::Array{Float64} = zeros(L, L, K) # post_v[lm, lc, thread]
normal_limits::Array{Float64,2} = [ normal_limits::Array{Float64,2} = [
l.normal_flow_limit[t] + overflow[l.offset, t] for l.normal_flow_limit[t] + overflow[l.offset, t] for l in sc.lines,
l in instance.lines, t in 1:T t in 1:T
] ]
emergency_limits::Array{Float64,2} = [ emergency_limits::Array{Float64,2} = [
l.emergency_flow_limit[t] + overflow[l.offset, t] for l.emergency_flow_limit[t] + overflow[l.offset, t] for l in sc.lines,
l in instance.lines, t in 1:T t in 1:T
] ]
is_vulnerable::Array{Bool} = zeros(Bool, L) is_vulnerable::Array{Bool} = zeros(Bool, L)
for c in instance.contingencies for c in sc.contingencies
is_vulnerable[c.lines[1].offset] = true is_vulnerable[c.lines[1].offset] = true
end end
@@ -144,7 +141,7 @@ function _find_violations(;
filters[t], filters[t],
_Violation( _Violation(
time = t, time = t,
monitored_line = instance.lines[lm], monitored_line = sc.lines[lm],
outage_line = nothing, outage_line = nothing,
amount = pre_v[lm, k], amount = pre_v[lm, k],
), ),
@@ -159,8 +156,8 @@ function _find_violations(;
filters[t], filters[t],
_Violation( _Violation(
time = t, time = t,
monitored_line = instance.lines[lm], monitored_line = sc.lines[lm],
outage_line = instance.lines[lc], outage_line = sc.lines[lc],
amount = post_v[lm, lc, k], amount = post_v[lm, lc, k],
), ),
) )

View File

@@ -12,11 +12,16 @@ function optimize!(model::JuMP.Model, method::XavQiuWanThi2019.Method)::Nothing
end end
initial_time = time() initial_time = time()
large_gap = false large_gap = false
has_transmission = (length(model[:isf]) > 0) has_transmission = false
for sc in model[:instance].scenarios
if length(sc.isf) > 0
has_transmission = true
end
if has_transmission && method.two_phase_gap if has_transmission && method.two_phase_gap
set_gap(1e-2) set_gap(1e-2)
large_gap = true large_gap = true
end end
end
while true while true
time_elapsed = time() - initial_time time_elapsed = time() - initial_time
time_remaining = method.time_limit - time_elapsed time_remaining = method.time_limit - time_elapsed
@@ -31,13 +36,41 @@ function optimize!(model::JuMP.Model, method::XavQiuWanThi2019.Method)::Nothing
JuMP.set_time_limit_sec(model, time_remaining) JuMP.set_time_limit_sec(model, time_remaining)
@info "Solving MILP..." @info "Solving MILP..."
JuMP.optimize!(model) JuMP.optimize!(model)
has_transmission || break has_transmission || break
violations = _find_violations(
@info "Verifying transmission limits..."
time_screening = @elapsed begin
violations = []
for sc in model[:instance].scenarios
push!(
violations,
_find_violations(
model, model,
sc,
max_per_line = method.max_violations_per_line, max_per_line = method.max_violations_per_line,
max_per_period = method.max_violations_per_period, max_per_period = method.max_violations_per_period,
),
) )
if isempty(violations) end
end
@info @sprintf(
"Verified transmission limits in %.2f seconds",
time_screening
)
violations_found = false
for v in violations
if !isempty(v)
violations_found = true
end
end
if violations_found
for (i, v) in enumerate(violations)
_enforce_transmission(model, v, model[:instance].scenarios[i])
end
else
@info "No violations found" @info "No violations found"
if large_gap if large_gap
large_gap = false large_gap = false
@@ -45,8 +78,6 @@ function optimize!(model::JuMP.Model, method::XavQiuWanThi2019.Method)::Nothing
else else
break break
end end
else
_enforce_transmission(model, violations)
end end
end end
return return

View File

@@ -2,14 +2,6 @@
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved. # Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details. # Released under the modified BSD license. See COPYING.md for more details.
"""
Lazy constraint solution method described in:
Xavier, A. S., Qiu, F., Wang, F., & Thimmapuram, P. R. (2019). Transmission
constraint filtering in large-scale security-constrained unit commitment.
IEEE Transactions on Power Systems, 34(3), 2457-2460.
DOI: https://doi.org/10.1109/TPWRS.2019.2892620
"""
module XavQiuWanThi2019 module XavQiuWanThi2019
import ..SolutionMethod import ..SolutionMethod
""" """
@@ -21,6 +13,13 @@ import ..SolutionMethod
max_violations_per_period::Int max_violations_per_period::Int
end end
Lazy constraint solution method described in:
Xavier, A. S., Qiu, F., Wang, F., & Thimmapuram, P. R. (2019). Transmission
constraint filtering in large-scale security-constrained unit commitment.
IEEE Transactions on Power Systems, 34(3), 2457-2460.
DOI: https://doi.org/10.1109/TPWRS.2019.2892620
Fields Fields
------ ------

View File

@@ -3,9 +3,9 @@
# Released under the modified BSD license. See COPYING.md for more details. # Released under the modified BSD license. See COPYING.md for more details.
""" """
function optimize!(model::JuMP.Model)::Nothing optimize!(model::JuMP.Model)::Nothing
Solve the given unit commitment model. Unlike JuMP.optimize!, this uses more Solve the given unit commitment model. Unlike `JuMP.optimize!`, this uses more
advanced methods to accelerate the solution process and to enforce transmission advanced methods to accelerate the solution process and to enforce transmission
and N-1 security constraints. and N-1 security constraints.
""" """

View File

@@ -2,36 +2,58 @@
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved. # Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details. # Released under the modified BSD license. See COPYING.md for more details.
"""
solution(model::JuMP.Model)::OrderedDict
Extracts the optimal solution from the UC.jl model. The model must be solved beforehand.
# Example
```julia
UnitCommitment.optimize!(model)
solution = UnitCommitment.solution(model)
```
"""
function solution(model::JuMP.Model)::OrderedDict function solution(model::JuMP.Model)::OrderedDict
instance, T = model[:instance], model[:instance].time instance, T = model[:instance], model[:instance].time
function timeseries(vars, collection) function timeseries(vars, collection; sc = nothing)
if sc === nothing
return OrderedDict( return OrderedDict(
b.name => [round(value(vars[b.name, t]), digits = 5) for t in 1:T] b.name =>
for b in collection [round(value(vars[b.name, t]), digits = 5) for t in 1:T] for
b in collection
)
else
return OrderedDict(
b.name => [
round(value(vars[sc.name, b.name, t]), digits = 5) for
t in 1:T
] for b in collection
) )
end end
function production_cost(g) end
function production_cost(g, sc)
return [ return [
value(model[:is_on][g.name, t]) * g.min_power_cost[t] + sum( value(model[:is_on][g.name, t]) * g.min_power_cost[t] + sum(
Float64[ Float64[
value(model[:segprod][g.name, t, k]) * value(model[:segprod][sc.name, g.name, t, k]) *
g.cost_segments[k].cost[t] for g.cost_segments[k].cost[t] for
k in 1:length(g.cost_segments) k in 1:length(g.cost_segments)
], ],
) for t in 1:T ) for t in 1:T
] ]
end end
function production(g) function production(g, sc)
return [ return [
value(model[:is_on][g.name, t]) * g.min_power[t] + sum( value(model[:is_on][g.name, t]) * g.min_power[t] + sum(
Float64[ Float64[
value(model[:segprod][g.name, t, k]) for value(model[:segprod][sc.name, g.name, t, k]) for
k in 1:length(g.cost_segments) k in 1:length(g.cost_segments)
], ],
) for t in 1:T ) for t in 1:T
] ]
end end
function startup_cost(g) function startup_cost(g, sc)
S = length(g.startup_categories) S = length(g.startup_categories)
return [ return [
sum( sum(
@@ -41,66 +63,87 @@ function solution(model::JuMP.Model)::OrderedDict
] ]
end end
sol = OrderedDict() sol = OrderedDict()
sol["Production (MW)"] = for sc in instance.scenarios
OrderedDict(g.name => production(g) for g in instance.units) sol[sc.name] = OrderedDict()
sol["Production cost (\$)"] = if !isempty(sc.thermal_units)
OrderedDict(g.name => production_cost(g) for g in instance.units) sol[sc.name]["Thermal production (MW)"] = OrderedDict(
sol["Startup cost (\$)"] = g.name => production(g, sc) for g in sc.thermal_units
OrderedDict(g.name => startup_cost(g) for g in instance.units) )
sol["Is on"] = timeseries(model[:is_on], instance.units) sol[sc.name]["Thermal production cost (\$)"] = OrderedDict(
sol["Switch on"] = timeseries(model[:switch_on], instance.units) g.name => production_cost(g, sc) for g in sc.thermal_units
sol["Switch off"] = timeseries(model[:switch_off], instance.units) )
sol["Net injection (MW)"] = sol[sc.name]["Startup cost (\$)"] = OrderedDict(
timeseries(model[:net_injection], instance.buses) g.name => startup_cost(g, sc) for g in sc.thermal_units
sol["Load curtail (MW)"] = timeseries(model[:curtail], instance.buses) )
if !isempty(instance.lines) sol[sc.name]["Is on"] = timeseries(model[:is_on], sc.thermal_units)
sol["Line overflow (MW)"] = timeseries(model[:overflow], instance.lines) sol[sc.name]["Switch on"] =
timeseries(model[:switch_on], sc.thermal_units)
sol[sc.name]["Switch off"] =
timeseries(model[:switch_off], sc.thermal_units)
sol[sc.name]["Net injection (MW)"] =
timeseries(model[:net_injection], sc.buses, sc = sc)
sol[sc.name]["Load curtail (MW)"] =
timeseries(model[:curtail], sc.buses, sc = sc)
end end
if !isempty(instance.price_sensitive_loads) if !isempty(sc.lines)
sol["Price-sensitive loads (MW)"] = sol[sc.name]["Line overflow (MW)"] =
timeseries(model[:loads], instance.price_sensitive_loads) timeseries(model[:overflow], sc.lines, sc = sc)
end end
sol["Spinning reserve (MW)"] = OrderedDict( if !isempty(sc.price_sensitive_loads)
sol[sc.name]["Price-sensitive loads (MW)"] =
timeseries(model[:loads], sc.price_sensitive_loads, sc = sc)
end
if !isempty(sc.profiled_units)
sol[sc.name]["Profiled production (MW)"] =
timeseries(model[:prod_profiled], sc.profiled_units, sc = sc)
sol[sc.name]["Profiled production cost (\$)"] = OrderedDict(
pu.name => [
value(model[:prod_profiled][sc.name, pu.name, t]) *
pu.cost[t] for t in 1:instance.time
] for pu in sc.profiled_units
)
end
sol[sc.name]["Spinning reserve (MW)"] = OrderedDict(
r.name => OrderedDict( r.name => OrderedDict(
g.name => [ g.name => [
value(model[:reserve][r.name, g.name, t]) for value(model[:reserve][sc.name, r.name, g.name, t]) for t in 1:instance.time
t in 1:instance.time ] for g in r.thermal_units
] for g in r.units ) for r in sc.reserves if r.type == "spinning"
) for r in instance.reserves if r.type == "spinning"
) )
sol["Spinning reserve shortfall (MW)"] = OrderedDict( sol[sc.name]["Spinning reserve shortfall (MW)"] = OrderedDict(
r.name => [ r.name => [
value(model[:reserve_shortfall][r.name, t]) for value(model[:reserve_shortfall][sc.name, r.name, t]) for
t in 1:instance.time t in 1:instance.time
] for r in instance.reserves if r.type == "spinning" ] for r in sc.reserves if r.type == "spinning"
) )
sol["Up-flexiramp (MW)"] = OrderedDict( sol[sc.name]["Up-flexiramp (MW)"] = OrderedDict(
r.name => OrderedDict( r.name => OrderedDict(
g.name => [ g.name => [
value(model[:upflexiramp][r.name, g.name, t]) for value(model[:upflexiramp][sc.name, r.name, g.name, t]) for t in 1:instance.time
t in 1:instance.time ] for g in r.thermal_units
] for g in r.units ) for r in sc.reserves if r.type == "flexiramp"
) for r in instance.reserves if r.type == "flexiramp"
) )
sol["Up-flexiramp shortfall (MW)"] = OrderedDict( sol[sc.name]["Up-flexiramp shortfall (MW)"] = OrderedDict(
r.name => [ r.name => [
value(model[:upflexiramp_shortfall][r.name, t]) for value(model[:upflexiramp_shortfall][sc.name, r.name, t]) for t in 1:instance.time
t in 1:instance.time ] for r in sc.reserves if r.type == "flexiramp"
] for r in instance.reserves if r.type == "flexiramp"
) )
sol["Down-flexiramp (MW)"] = OrderedDict( sol[sc.name]["Down-flexiramp (MW)"] = OrderedDict(
r.name => OrderedDict( r.name => OrderedDict(
g.name => [ g.name => [
value(model[:dwflexiramp][r.name, g.name, t]) for value(model[:dwflexiramp][sc.name, r.name, g.name, t]) for t in 1:instance.time
t in 1:instance.time ] for g in r.thermal_units
] for g in r.units ) for r in sc.reserves if r.type == "flexiramp"
) for r in instance.reserves if r.type == "flexiramp"
) )
sol["Down-flexiramp shortfall (MW)"] = OrderedDict( sol[sc.name]["Down-flexiramp shortfall (MW)"] = OrderedDict(
r.name => [ r.name => [
value(model[:upflexiramp_shortfall][r.name, t]) for value(model[:dwflexiramp_shortfall][sc.name, r.name, t]) for t in 1:instance.time
t in 1:instance.time ] for r in sc.reserves if r.type == "flexiramp"
] for r in instance.reserves if r.type == "flexiramp"
) )
end
if length(instance.scenarios) == 1
return first(values(sol))
else
return sol return sol
end
end end

View File

@@ -5,7 +5,7 @@
function set_warm_start!(model::JuMP.Model, solution::AbstractDict)::Nothing function set_warm_start!(model::JuMP.Model, solution::AbstractDict)::Nothing
instance, T = model[:instance], model[:instance].time instance, T = model[:instance], model[:instance].time
is_on = model[:is_on] is_on = model[:is_on]
for g in instance.units for g in instance.thermal_units
for t in 1:T for t in 1:T
JuMP.set_start_value(is_on[g.name, t], solution["Is on"][g.name][t]) JuMP.set_start_value(is_on[g.name, t], solution["Is on"][g.name][t])
JuMP.set_start_value( JuMP.set_start_value(

View File

@@ -2,6 +2,18 @@
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved. # Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details. # Released under the modified BSD license. See COPYING.md for more details.
"""
write(filename::AbstractString, solution::AbstractDict)::Nothing
Write the given solution to a JSON file.
# Example
```julia
solution = UnitCommitment.solution(model)
UnitCommitment.write("/tmp/output.json", solution)
```
"""
function write(filename::AbstractString, solution::AbstractDict)::Nothing function write(filename::AbstractString, solution::AbstractDict)::Nothing
open(filename, "w") do file open(filename, "w") do file
return JSON.print(file, solution, 2) return JSON.print(file, solution, 2)

View File

@@ -5,36 +5,41 @@
using JuMP using JuMP
""" """
generate_initial_conditions!(instance, optimizer) generate_initial_conditions!(sc, optimizer)
Generates feasible initial conditions for the given instance, by constructing Generates feasible initial conditions for the given scenario, by constructing
and solving a single-period mixed-integer optimization problem, using the given and solving a single-period mixed-integer optimization problem, using the given
optimizer. The instance is modified in-place. optimizer. The scenario is modified in-place.
""" """
function generate_initial_conditions!( function generate_initial_conditions!(
instance::UnitCommitmentInstance, sc::UnitCommitmentScenario,
optimizer, optimizer,
)::Nothing )::Nothing
G = instance.units G = sc.thermal_units
B = instance.buses B = sc.buses
PU = sc.profiled_units
t = 1 t = 1
mip = JuMP.Model(optimizer) mip = JuMP.Model(optimizer)
# Decision variables # Decision variables
@variable(mip, x[G], Bin) @variable(mip, x[G], Bin)
@variable(mip, p[G] >= 0) @variable(mip, p[G] >= 0)
@variable(mip, pu[PU])
# Constraint: Minimum power # Constraint: Minimum power
@constraint(mip, min_power[g in G], p[g] >= g.min_power[t] * x[g]) @constraint(mip, min_power[g in G], p[g] >= g.min_power[t] * x[g])
@constraint(mip, pu_min_power[k in PU], pu[k] >= k.min_power[t])
# Constraint: Maximum power # Constraint: Maximum power
@constraint(mip, max_power[g in G], p[g] <= g.max_power[t] * x[g]) @constraint(mip, max_power[g in G], p[g] <= g.max_power[t] * x[g])
@constraint(mip, pu_max_power[k in PU], pu[k] <= k.max_power[t])
# Constraint: Production equals demand # Constraint: Production equals demand
@constraint( @constraint(
mip, mip,
power_balance, power_balance,
sum(b.load[t] for b in B) == sum(p[g] for g in G) sum(b.load[t] for b in B) ==
sum(p[g] for g in G) + sum(pu[k] for k in PU)
) )
# Constraint: Must run # Constraint: Must run
@@ -58,7 +63,12 @@ function generate_initial_conditions!(
return c / mw return c / mw
end end
end end
@objective(mip, Min, sum(p[g] * cost_slope(g) for g in G)) @objective(
mip,
Min,
sum(p[g] * cost_slope(g) for g in G) +
sum(pu[k] * k.cost[t] for k in PU)
)
JuMP.optimize!(mip) JuMP.optimize!(mip)

View File

@@ -2,17 +2,11 @@
# Copyright (C) 2020-2021, UChicago Argonne, LLC. All rights reserved. # Copyright (C) 2020-2021, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details. # Released under the modified BSD license. See COPYING.md for more details.
"""
Methods described in:
Xavier, Álinson S., Feng Qiu, and Shabbir Ahmed. "Learning to solve
large-scale security-constrained unit commitment problems." INFORMS
Journal on Computing 33.2 (2021): 739-756. DOI: 10.1287/ijoc.2020.0976
"""
module XavQiuAhm2021 module XavQiuAhm2021
using Distributions using Distributions
import ..UnitCommitmentInstance import ..UnitCommitmentInstance
import ..UnitCommitmentScenario
""" """
struct Randomization struct Randomization
@@ -55,6 +49,13 @@ load profile, as follows:
The default parameters were obtained based on an analysis of publicly available The default parameters were obtained based on an analysis of publicly available
bid and hourly data from PJM, corresponding to the month of January, 2017. For bid and hourly data from PJM, corresponding to the month of January, 2017. For
more details, see Section 4.2 of the paper. more details, see Section 4.2 of the paper.
# References
- **Xavier, Álinson S., Feng Qiu, and Shabbir Ahmed.** *"Learning to solve
large-scale security-constrained unit commitment problems."* INFORMS Journal
on Computing 33.2 (2021): 739-756. DOI: 10.1287/ijoc.2020.0976
""" """
Base.@kwdef struct Randomization Base.@kwdef struct Randomization
cost = Uniform(0.95, 1.05) cost = Uniform(0.95, 1.05)
@@ -119,10 +120,10 @@ end
function _randomize_costs( function _randomize_costs(
rng, rng,
instance::UnitCommitmentInstance, sc::UnitCommitmentScenario,
distribution, distribution,
)::Nothing )::Nothing
for unit in instance.units for unit in sc.thermal_units
α = rand(rng, distribution) α = rand(rng, distribution)
unit.min_power_cost *= α unit.min_power_cost *= α
for k in unit.cost_segments for k in unit.cost_segments
@@ -132,22 +133,24 @@ function _randomize_costs(
s.cost *= α s.cost *= α
end end
end end
for pu in sc.profiled_units
α = rand(rng, distribution)
pu.cost *= α
end
return return
end end
function _randomize_load_share( function _randomize_load_share(
rng, rng,
instance::UnitCommitmentInstance, sc::UnitCommitmentScenario,
distribution, distribution,
)::Nothing )::Nothing
α = rand(rng, distribution, length(instance.buses)) α = rand(rng, distribution, length(sc.buses))
for t in 1:instance.time for t in 1:sc.time
total = sum(bus.load[t] for bus in instance.buses) total = sum(bus.load[t] for bus in sc.buses)
den = sum( den =
bus.load[t] / total * α[i] for sum(bus.load[t] / total * α[i] for (i, bus) in enumerate(sc.buses))
(i, bus) in enumerate(instance.buses) for (i, bus) in enumerate(sc.buses)
)
for (i, bus) in enumerate(instance.buses)
bus.load[t] *= α[i] / den bus.load[t] *= α[i] / den
end end
end end
@@ -156,12 +159,12 @@ end
function _randomize_load_profile( function _randomize_load_profile(
rng, rng,
instance::UnitCommitmentInstance, sc::UnitCommitmentScenario,
params::Randomization, params::Randomization,
)::Nothing )::Nothing
# Generate new system load # Generate new system load
system_load = [1.0] system_load = [1.0]
for t in 2:instance.time for t in 2:sc.time
idx = (t - 1) % length(params.load_profile_mu) + 1 idx = (t - 1) % length(params.load_profile_mu) + 1
gamma = rand( gamma = rand(
rng, rng,
@@ -169,14 +172,14 @@ function _randomize_load_profile(
) )
push!(system_load, system_load[t-1] * gamma) push!(system_load, system_load[t-1] * gamma)
end end
capacity = sum(maximum(u.max_power) for u in instance.units) capacity = sum(maximum(u.max_power) for u in sc.thermal_units)
peak_load = rand(rng, params.peak_load) * capacity peak_load = rand(rng, params.peak_load) * capacity
system_load = system_load ./ maximum(system_load) .* peak_load system_load = system_load ./ maximum(system_load) .* peak_load
# Scale bus loads to match the new system load # Scale bus loads to match the new system load
prev_system_load = sum(b.load for b in instance.buses) prev_system_load = sum(b.load for b in sc.buses)
for b in instance.buses for b in sc.buses
for t in 1:instance.time for t in 1:sc.time
b.load[t] *= system_load[t] / prev_system_load[t] b.load[t] *= system_load[t] / prev_system_load[t]
end end
end end
@@ -200,16 +203,54 @@ function randomize!(
method::XavQiuAhm2021.Randomization; method::XavQiuAhm2021.Randomization;
rng = MersenneTwister(), rng = MersenneTwister(),
)::Nothing )::Nothing
if method.randomize_costs for sc in instance.scenarios
XavQiuAhm2021._randomize_costs(rng, instance, method.cost) randomize!(sc, method; rng)
end
if method.randomize_load_share
XavQiuAhm2021._randomize_load_share(rng, instance, method.load_share)
end
if method.randomize_load_profile
XavQiuAhm2021._randomize_load_profile(rng, instance, method)
end end
return return
end end
function randomize!(
sc::UnitCommitment.UnitCommitmentScenario,
method::XavQiuAhm2021.Randomization;
rng = MersenneTwister(),
)::Nothing
if method.randomize_costs
XavQiuAhm2021._randomize_costs(rng, sc, method.cost)
end
if method.randomize_load_share
XavQiuAhm2021._randomize_load_share(rng, sc, method.load_share)
end
if method.randomize_load_profile
XavQiuAhm2021._randomize_load_profile(rng, sc, method)
end
return
end
"""
function randomize!(
instance::UnitCommitmentInstance;
method = UnitCommitment.XavQiuAhm2021.Randomization();
rng = MersenneTwister(),
)::Nothing
Randomizes instance parameters according to the provided randomization method.
# Example
```julia
instance = UnitCommitment.read_benchmark("matpower/case118/2017-02-01")
UnitCommitment.randomize!(instance)
model = UnitCommitment.build_model(; instance)
```
"""
function randomize!(
instance::UnitCommitment.UnitCommitmentInstance;
method = XavQiuAhm2021.Randomization(),
rng = MersenneTwister(),
)::Nothing
randomize!(instance, method; rng)
return
end
export randomize! export randomize!

View File

@@ -12,10 +12,11 @@ conditions are also not modified.
Example Example
------- -------
# Build a 2-hour UC instance ```julia
instance = UnitCommitment.read_benchmark("test/case14") # Build a 2-hour UC instance
modified = UnitCommitment.slice(instance, 1:2) instance = UnitCommitment.read_benchmark("matpower/case118/2017-02-01")
modified = UnitCommitment.slice(instance, 1:2)
```
""" """
function slice( function slice(
instance::UnitCommitmentInstance, instance::UnitCommitmentInstance,
@@ -23,11 +24,12 @@ function slice(
)::UnitCommitmentInstance )::UnitCommitmentInstance
modified = deepcopy(instance) modified = deepcopy(instance)
modified.time = length(range) modified.time = length(range)
modified.power_balance_penalty = modified.power_balance_penalty[range] for sc in modified.scenarios
for r in modified.reserves sc.power_balance_penalty = sc.power_balance_penalty[range]
for r in sc.reserves
r.amount = r.amount[range] r.amount = r.amount[range]
end end
for u in modified.units for u in sc.thermal_units
u.max_power = u.max_power[range] u.max_power = u.max_power[range]
u.min_power = u.min_power[range] u.min_power = u.min_power[range]
u.must_run = u.must_run[range] u.must_run = u.must_run[range]
@@ -37,17 +39,23 @@ function slice(
s.cost = s.cost[range] s.cost = s.cost[range]
end end
end end
for b in modified.buses for pu in sc.profiled_units
pu.max_power = pu.max_power[range]
pu.min_power = pu.min_power[range]
pu.cost = pu.cost[range]
end
for b in sc.buses
b.load = b.load[range] b.load = b.load[range]
end end
for l in modified.lines for l in sc.lines
l.normal_flow_limit = l.normal_flow_limit[range] l.normal_flow_limit = l.normal_flow_limit[range]
l.emergency_flow_limit = l.emergency_flow_limit[range] l.emergency_flow_limit = l.emergency_flow_limit[range]
l.flow_limit_penalty = l.flow_limit_penalty[range] l.flow_limit_penalty = l.flow_limit_penalty[range]
end end
for ps in modified.price_sensitive_loads for ps in sc.price_sensitive_loads
ps.demand = ps.demand[range] ps.demand = ps.demand[range]
ps.revenue = ps.revenue[range] ps.revenue = ps.revenue[range]
end end
end
return modified return modified
end end

View File

@@ -3,19 +3,19 @@
# Released under the modified BSD license. See COPYING.md for more details. # Released under the modified BSD license. See COPYING.md for more details.
""" """
repair!(instance) repair!(sc)
Verifies that the given unit commitment instance is valid and automatically Verifies that the given unit commitment scenario is valid and automatically
fixes some validation errors if possible, issuing a warning for each error fixes some validation errors if possible, issuing a warning for each error
found. If a validation error cannot be automatically fixed, issues an found. If a validation error cannot be automatically fixed, issues an
exception. exception.
Returns the number of validation errors found. Returns the number of validation errors found.
""" """
function repair!(instance::UnitCommitmentInstance)::Int function repair!(sc::UnitCommitmentScenario)::Int
n_errors = 0 n_errors = 0
for g in instance.units for g in sc.thermal_units
# Startup costs and delays must be increasing # Startup costs and delays must be increasing
for s in 2:length(g.startup_categories) for s in 2:length(g.startup_categories)
@@ -38,7 +38,7 @@ function repair!(instance::UnitCommitmentInstance)::Int
end end
end end
for t in 1:instance.time for t in 1:sc.time
# Production cost curve should be convex # Production cost curve should be convex
for k in 2:length(g.cost_segments) for k in 2:length(g.cost_segments)
cost = g.cost_segments[k].cost[t] cost = g.cost_segments[k].cost[t]

View File

@@ -28,6 +28,8 @@ function validate(
instance::UnitCommitmentInstance, instance::UnitCommitmentInstance,
solution::Union{Dict,OrderedDict}, solution::Union{Dict,OrderedDict},
)::Bool )::Bool
"Thermal production (MW)" keys(solution) ?
solution = Dict("s1" => solution) : nothing
err_count = 0 err_count = 0
err_count += _validate_units(instance, solution) err_count += _validate_units(instance, solution)
err_count += _validate_reserve_and_demand(instance, solution) err_count += _validate_reserve_and_demand(instance, solution)
@@ -42,20 +44,23 @@ end
function _validate_units(instance::UnitCommitmentInstance, solution; tol = 0.01) function _validate_units(instance::UnitCommitmentInstance, solution; tol = 0.01)
err_count = 0 err_count = 0
for sc in instance.scenarios
for unit in instance.units for unit in sc.thermal_units
production = solution["Production (MW)"][unit.name] production = solution[sc.name]["Thermal production (MW)"][unit.name]
reserve = [0.0 for _ in 1:instance.time] reserve = [0.0 for _ in 1:instance.time]
spinning_reserves = [r for r in unit.reserves if r.type == "spinning"] spinning_reserves =
[r for r in unit.reserves if r.type == "spinning"]
if !isempty(spinning_reserves) if !isempty(spinning_reserves)
reserve += sum( reserve += sum(
solution["Spinning reserve (MW)"][r.name][unit.name] for solution[sc.name]["Spinning reserve (MW)"][r.name][unit.name]
r in spinning_reserves for r in spinning_reserves
) )
end end
actual_production_cost = solution["Production cost (\$)"][unit.name] actual_production_cost =
actual_startup_cost = solution["Startup cost (\$)"][unit.name] solution[sc.name]["Thermal production cost (\$)"][unit.name]
is_on = bin(solution["Is on"][unit.name]) actual_startup_cost =
solution[sc.name]["Startup cost (\$)"][unit.name]
is_on = bin(solution[sc.name]["Is on"][unit.name])
for t in 1:instance.time for t in 1:instance.time
# Auxiliary variables # Auxiliary variables
@@ -68,7 +73,8 @@ function _validate_units(instance::UnitCommitmentInstance, solution; tol = 0.01)
else else
is_starting_up = !is_on[t-1] && is_on[t] is_starting_up = !is_on[t-1] && is_on[t]
is_shutting_down = is_on[t-1] && !is_on[t] is_shutting_down = is_on[t-1] && !is_on[t]
ramp_up = max(0, production[t] + reserve[t] - production[t-1]) ramp_up =
max(0, production[t] + reserve[t] - production[t-1])
ramp_down = max(0, production[t-1] - production[t]) ramp_down = max(0, production[t-1] - production[t])
end end
@@ -106,10 +112,13 @@ function _validate_units(instance::UnitCommitmentInstance, solution; tol = 0.01)
end end
# Verify reserve eligibility # Verify reserve eligibility
for r in instance.reserves for r in sc.reserves
if r.type == "spinning" if r.type == "spinning"
if unit r.units && if unit r.thermal_units && (
(unit in keys(solution["Spinning reserve (MW)"][r.name])) unit in keys(
solution[sc.name]["Spinning reserve (MW)"][r.name],
)
)
@error @sprintf( @error @sprintf(
"Unit %s is not eligible to provide reserve %s", "Unit %s is not eligible to provide reserve %s",
unit.name, unit.name,
@@ -296,28 +305,69 @@ function _validate_units(instance::UnitCommitmentInstance, solution; tol = 0.01)
end end
end end
end end
for pu in sc.profiled_units
production = solution[sc.name]["Profiled production (MW)"][pu.name]
for t in 1:instance.time
# Unit must produce at least its minimum power
if production[t] < pu.min_power[t] - tol
@error @sprintf(
"Profiled unit %s produces below its minimum limit at time %d (%.2f < %.2f)",
pu.name,
t,
production[t],
pu.min_power[t]
)
err_count += 1
end
# Unit must produce at most its maximum power
if production[t] > pu.max_power[t] + tol
@error @sprintf(
"Profiled unit %s produces above its maximum limit at time %d (%.2f > %.2f)",
pu.name,
t,
production[t],
pu.max_power[t]
)
err_count += 1
end
end
end
end
return err_count return err_count
end end
function _validate_reserve_and_demand(instance, solution, tol = 0.01) function _validate_reserve_and_demand(instance, solution, tol = 0.01)
err_count = 0 err_count = 0
for sc in instance.scenarios
for t in 1:instance.time for t in 1:instance.time
load_curtail = 0 load_curtail = 0
fixed_load = sum(b.load[t] for b in instance.buses) fixed_load = sum(b.load[t] for b in sc.buses)
ps_load = 0 ps_load = 0
if length(instance.price_sensitive_loads) > 0 production = 0
if length(sc.price_sensitive_loads) > 0
ps_load = sum( ps_load = sum(
solution["Price-sensitive loads (MW)"][ps.name][t] for solution[sc.name]["Price-sensitive loads (MW)"][ps.name][t]
ps in instance.price_sensitive_loads for ps in sc.price_sensitive_loads
)
end
if length(sc.thermal_units) > 0
production = sum(
solution[sc.name]["Thermal production (MW)"][g.name][t]
for g in sc.thermal_units
)
end
if length(sc.profiled_units) > 0
production += sum(
solution[sc.name]["Profiled production (MW)"][pu.name][t]
for pu in sc.profiled_units
) )
end end
production =
sum(solution["Production (MW)"][g.name][t] for g in instance.units)
if "Load curtail (MW)" in keys(solution) if "Load curtail (MW)" in keys(solution)
load_curtail = sum( load_curtail = sum(
solution["Load curtail (MW)"][b.name][t] for solution[sc.name]["Load curtail (MW)"][b.name][t] for
b in instance.buses b in sc.buses
) )
end end
balance = fixed_load - load_curtail - production + ps_load balance = fixed_load - load_curtail - production + ps_load
@@ -336,14 +386,14 @@ function _validate_reserve_and_demand(instance, solution, tol = 0.01)
end end
# Verify reserves # Verify reserves
for r in instance.reserves for r in sc.reserves
if r.type == "spinning" if r.type == "spinning"
provided = sum( provided = sum(
solution["Spinning reserve (MW)"][r.name][g.name][t] for solution[sc.name]["Spinning reserve (MW)"][r.name][g.name][t]
g in r.units for g in r.thermal_units
) )
shortfall = shortfall =
solution["Spinning reserve shortfall (MW)"][r.name][t] solution[sc.name]["Spinning reserve shortfall (MW)"][r.name][t]
required = r.amount[t] required = r.amount[t]
if provided + shortfall < required - tol if provided + shortfall < required - tol
@@ -358,11 +408,11 @@ function _validate_reserve_and_demand(instance, solution, tol = 0.01)
end end
elseif r.type == "flexiramp" elseif r.type == "flexiramp"
upflexiramp = sum( upflexiramp = sum(
solution["Up-flexiramp (MW)"][r.name][g.name][t] for solution[sc.name]["Up-flexiramp (MW)"][r.name][g.name][t]
g in r.units for g in r.thermal_units
) )
upflexiramp_shortfall = upflexiramp_shortfall =
solution["Up-flexiramp shortfall (MW)"][r.name][t] solution[sc.name]["Up-flexiramp shortfall (MW)"][r.name][t]
if upflexiramp + upflexiramp_shortfall < r.amount[t] - tol if upflexiramp + upflexiramp_shortfall < r.amount[t] - tol
@error @sprintf( @error @sprintf(
@@ -376,11 +426,11 @@ function _validate_reserve_and_demand(instance, solution, tol = 0.01)
end end
dwflexiramp = sum( dwflexiramp = sum(
solution["Down-flexiramp (MW)"][r.name][g.name][t] for solution[sc.name]["Down-flexiramp (MW)"][r.name][g.name][t]
g in r.units for g in r.thermal_units
) )
dwflexiramp_shortfall = dwflexiramp_shortfall =
solution["Down-flexiramp shortfall (MW)"][r.name][t] solution[sc.name]["Down-flexiramp shortfall (MW)"][r.name][t]
if dwflexiramp + dwflexiramp_shortfall < r.amount[t] - tol if dwflexiramp + dwflexiramp_shortfall < r.amount[t] - tol
@error @sprintf( @error @sprintf(
@@ -397,6 +447,7 @@ function _validate_reserve_and_demand(instance, solution, tol = 0.01)
end end
end end
end end
end
return err_count return err_count
end end

View File

@@ -1,25 +1,20 @@
name = "UnitCommitmentT"
uuid = "a3b7a17a-ab64-45e4-a924-cd5ae7dc644e"
authors = ["Alinson S. Xavier <git@axavier.org>"]
version = "0.1.0"
[deps] [deps]
Cbc = "9961bab8-2fa3-5c5a-9d89-47fab24efd76" Cbc = "9961bab8-2fa3-5c5a-9d89-47fab24efd76"
DataStructures = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8" DataStructures = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f" Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
GZip = "92fee26a-97fe-5a0c-ad85-20a5f3185b63" GZip = "92fee26a-97fe-5a0c-ad85-20a5f3185b63"
HiGHS = "87dc4568-4c63-4d18-b0c0-bb2238e4078b"
JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
JuMP = "4076af6c-e467-56ae-b986-b466b2749572" JuMP = "4076af6c-e467-56ae-b986-b466b2749572"
JuliaFormatter = "98e50ef6-434e-11e9-1051-2b60c6c9e899"
LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
Logging = "56ddb016-857b-54e1-b83d-db4d58db5568"
MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee" MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
PackageCompiler = "9b87118b-4619-50d2-8e1e-99f35a4d4d9d"
Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7"
Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" Revise = "295af30f-e4ad-537b-8983-00126c2a3abe"
Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
UnitCommitment = "64606440-39ea-11e9-0f29-3303a1d3d877"
[compat]
DataStructures = "0.18"
Distributions = "0.25"
GZip = "0.5"
JSON = "0.21"
JuMP = "1"
MathOptInterface = "1"
PackageCompiler = "1"
julia = "1"

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment
@testset "read_egret_solution" begin
solution =
UnitCommitment.read_egret_solution("$FIXTURES/egret_output.json.gz")
for attr in ["Is on", "Production (MW)", "Production cost (\$)"]
@test attr in keys(solution)
@test "115_STEAM_1" in keys(solution[attr])
@test length(solution[attr]["115_STEAM_1"]) == 48
end
@test solution["Production cost (\$)"]["315_CT_6"][15:20] ==
[0.0, 0.0, 884.44, 1470.71, 1470.71, 884.44]
@test solution["Startup cost (\$)"]["315_CT_6"][15:20] ==
[0.0, 0.0, 5665.23, 0.0, 0.0, 0.0]
@test length(keys(solution["Is on"])) == 154
end

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@@ -1,18 +0,0 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, LinearAlgebra, Cbc, JuMP, JSON, GZip
@testset "read v0.2" begin
instance = UnitCommitment.read("$FIXTURES/ucjl-0.2.json.gz")
@test length(instance.reserves_by_name["r1"].amount) == 4
@test instance.units_by_name["g2"].reserves[1].name == "r1"
end
@testset "read v0.3" begin
instance = UnitCommitment.read("$FIXTURES/ucjl-0.3.json.gz")
@test length(instance.units) == 6
@test length(instance.buses) == 14
@test length(instance.lines) == 20
end

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@@ -1,126 +0,0 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, LinearAlgebra, Cbc, JuMP, JSON, GZip
@testset "read_benchmark" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
@test length(instance.lines) == 20
@test length(instance.buses) == 14
@test length(instance.units) == 6
@test length(instance.contingencies) == 19
@test length(instance.price_sensitive_loads) == 1
@test instance.time == 4
@test instance.lines[5].name == "l5"
@test instance.lines[5].source.name == "b2"
@test instance.lines[5].target.name == "b5"
@test instance.lines[5].reactance 0.17388
@test instance.lines[5].susceptance 10.037550333
@test instance.lines[5].normal_flow_limit == [1e8 for t in 1:4]
@test instance.lines[5].emergency_flow_limit == [1e8 for t in 1:4]
@test instance.lines[5].flow_limit_penalty == [5e3 for t in 1:4]
@test instance.lines_by_name["l5"].name == "l5"
@test instance.lines[1].name == "l1"
@test instance.lines[1].source.name == "b1"
@test instance.lines[1].target.name == "b2"
@test instance.lines[1].reactance 0.059170
@test instance.lines[1].susceptance 29.496860773945
@test instance.lines[1].normal_flow_limit == [300.0 for t in 1:4]
@test instance.lines[1].emergency_flow_limit == [400.0 for t in 1:4]
@test instance.lines[1].flow_limit_penalty == [1e3 for t in 1:4]
@test instance.buses[9].name == "b9"
@test instance.buses[9].load == [35.36638, 33.25495, 31.67138, 31.14353]
@test instance.buses_by_name["b9"].name == "b9"
@test instance.reserves[1].name == "r1"
@test instance.reserves[1].type == "spinning"
@test instance.reserves[1].amount == [100.0, 100.0, 100.0, 100.0]
@test instance.reserves_by_name["r1"].name == "r1"
unit = instance.units[1]
@test unit.name == "g1"
@test unit.bus.name == "b1"
@test unit.ramp_up_limit == 1e6
@test unit.ramp_down_limit == 1e6
@test unit.startup_limit == 1e6
@test unit.shutdown_limit == 1e6
@test unit.must_run == [false for t in 1:4]
@test unit.min_power_cost == [1400.0 for t in 1:4]
@test unit.min_uptime == 1
@test unit.min_downtime == 1
for t in 1:1
@test unit.cost_segments[1].mw[t] == 10.0
@test unit.cost_segments[2].mw[t] == 20.0
@test unit.cost_segments[3].mw[t] == 5.0
@test unit.cost_segments[1].cost[t] 20.0
@test unit.cost_segments[2].cost[t] 30.0
@test unit.cost_segments[3].cost[t] 40.0
end
@test length(unit.startup_categories) == 3
@test unit.startup_categories[1].delay == 1
@test unit.startup_categories[2].delay == 2
@test unit.startup_categories[3].delay == 3
@test unit.startup_categories[1].cost == 1000.0
@test unit.startup_categories[2].cost == 1500.0
@test unit.startup_categories[3].cost == 2000.0
@test length(unit.reserves) == 0
@test instance.units_by_name["g1"].name == "g1"
unit = instance.units[2]
@test unit.name == "g2"
@test unit.must_run == [false for t in 1:4]
@test length(unit.reserves) == 1
unit = instance.units[3]
@test unit.name == "g3"
@test unit.bus.name == "b3"
@test unit.ramp_up_limit == 70.0
@test unit.ramp_down_limit == 70.0
@test unit.startup_limit == 70.0
@test unit.shutdown_limit == 70.0
@test unit.must_run == [true for t in 1:4]
@test unit.min_power_cost == [0.0 for t in 1:4]
@test unit.min_uptime == 1
@test unit.min_downtime == 1
for t in 1:4
@test unit.cost_segments[1].mw[t] 33
@test unit.cost_segments[2].mw[t] 33
@test unit.cost_segments[3].mw[t] 34
@test unit.cost_segments[1].cost[t] 33.75
@test unit.cost_segments[2].cost[t] 38.04
@test unit.cost_segments[3].cost[t] 44.77853
end
@test length(unit.reserves) == 1
@test unit.reserves[1].name == "r1"
@test instance.contingencies[1].lines == [instance.lines[1]]
@test instance.contingencies[1].units == []
@test instance.contingencies[1].name == "c1"
@test instance.contingencies_by_name["c1"].name == "c1"
load = instance.price_sensitive_loads[1]
@test load.name == "ps1"
@test load.bus.name == "b3"
@test load.revenue == [100.0 for t in 1:4]
@test load.demand == [50.0 for t in 1:4]
@test instance.price_sensitive_loads_by_name["ps1"].name == "ps1"
end
@testset "read_benchmark sub-hourly" begin
instance = UnitCommitment.read("$FIXTURES/case14-sub-hourly.json.gz")
@test instance.time == 4
unit = instance.units[1]
@test unit.name == "g1"
@test unit.min_uptime == 2
@test unit.min_downtime == 2
@test length(unit.startup_categories) == 3
@test unit.startup_categories[1].delay == 2
@test unit.startup_categories[2].delay == 4
@test unit.startup_categories[3].delay == 6
@test unit.initial_status == -200
end

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@@ -1,84 +0,0 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment
using JuMP
using Cbc
using JSON
import UnitCommitment:
ArrCon2000,
CarArr2006,
DamKucRajAta2016,
Formulation,
Gar1962,
KnuOstWat2018,
MorLatRam2013,
PanGua2016,
XavQiuWanThi2019,
WanHob2016
function _test(
formulation::Formulation;
instances = ["case14"],
dump::Bool = false,
)::Nothing
for instance_name in instances
instance = UnitCommitment.read("$(FIXTURES)/$(instance_name).json.gz")
model = UnitCommitment.build_model(
instance = instance,
formulation = formulation,
optimizer = Cbc.Optimizer,
variable_names = true,
)
set_silent(model)
UnitCommitment.optimize!(model)
solution = UnitCommitment.solution(model)
if dump
open("/tmp/ucjl.json", "w") do f
return write(f, JSON.json(solution, 2))
end
write_to_file(model, "/tmp/ucjl.lp")
end
@test UnitCommitment.validate(instance, solution)
end
return
end
@testset "formulations" begin
@testset "default" begin
_test(Formulation())
end
@testset "ArrCon2000" begin
_test(Formulation(ramping = ArrCon2000.Ramping()))
end
@testset "DamKucRajAta2016" begin
_test(Formulation(ramping = DamKucRajAta2016.Ramping()))
end
@testset "MorLatRam2013" begin
_test(
Formulation(
ramping = MorLatRam2013.Ramping(),
startup_costs = MorLatRam2013.StartupCosts(),
),
)
end
@testset "PanGua2016" begin
_test(Formulation(ramping = PanGua2016.Ramping()))
end
@testset "Gar1962" begin
_test(Formulation(pwl_costs = Gar1962.PwlCosts()))
end
@testset "CarArr2006" begin
_test(Formulation(pwl_costs = CarArr2006.PwlCosts()))
end
@testset "KnuOstWat2018" begin
_test(Formulation(pwl_costs = KnuOstWat2018.PwlCosts()))
end
@testset "WanHob2016" begin
_test(
Formulation(ramping = WanHob2016.Ramping()),
instances = ["case14-flex"],
)
end
end

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@@ -1,42 +0,0 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using Test
using UnitCommitment
push!(Base.LOAD_PATH, @__DIR__)
UnitCommitment._setup_logger(level = Base.CoreLogging.Error)
FIXTURES = "$(@__DIR__)/fixtures"
@testset "UnitCommitment" begin
include("usage.jl")
@testset "import" begin
include("import/egret_test.jl")
end
@testset "instance" begin
include("instance/read_test.jl")
include("instance/migrate_test.jl")
end
@testset "model" begin
include("model/formulations_test.jl")
end
@testset "solution" begin
@testset "XavQiuWanThi19" begin
include("solution/methods/XavQiuWanThi19/filter_test.jl")
include("solution/methods/XavQiuWanThi19/find_test.jl")
include("solution/methods/XavQiuWanThi19/sensitivity_test.jl")
end
end
@testset "transform" begin
include("transform/initcond_test.jl")
include("transform/slice_test.jl")
@testset "randomize" begin
include("transform/randomize/XavQiuAhm2021_test.jl")
end
end
@testset "validation" begin
include("validation/repair_test.jl")
end
end

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@@ -1,83 +0,0 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, Test, LinearAlgebra
import UnitCommitment: _Violation, _offer, _query
@testset "_ViolationFilter" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
filter = UnitCommitment._ViolationFilter(max_per_line = 1, max_total = 2)
_offer(
filter,
_Violation(
time = 1,
monitored_line = instance.lines[1],
outage_line = nothing,
amount = 100.0,
),
)
_offer(
filter,
_Violation(
time = 1,
monitored_line = instance.lines[1],
outage_line = instance.lines[1],
amount = 300.0,
),
)
_offer(
filter,
_Violation(
time = 1,
monitored_line = instance.lines[1],
outage_line = instance.lines[5],
amount = 500.0,
),
)
_offer(
filter,
_Violation(
time = 1,
monitored_line = instance.lines[1],
outage_line = instance.lines[4],
amount = 400.0,
),
)
_offer(
filter,
_Violation(
time = 1,
monitored_line = instance.lines[2],
outage_line = instance.lines[1],
amount = 200.0,
),
)
_offer(
filter,
_Violation(
time = 1,
monitored_line = instance.lines[2],
outage_line = instance.lines[8],
amount = 100.0,
),
)
actual = _query(filter)
expected = [
_Violation(
time = 1,
monitored_line = instance.lines[2],
outage_line = instance.lines[1],
amount = 200.0,
),
_Violation(
time = 1,
monitored_line = instance.lines[1],
outage_line = instance.lines[5],
amount = 500.0,
),
]
@test actual == expected
end

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@@ -1,35 +0,0 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, Test, LinearAlgebra
import UnitCommitment: _Violation, _offer, _query
@testset "find_violations" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
for line in instance.lines, t in 1:instance.time
line.normal_flow_limit[t] = 1.0
line.emergency_flow_limit[t] = 1.0
end
isf = UnitCommitment._injection_shift_factors(
lines = instance.lines,
buses = instance.buses,
)
lodf = UnitCommitment._line_outage_factors(
lines = instance.lines,
buses = instance.buses,
isf = isf,
)
inj = [1000.0 for b in 1:13, t in 1:instance.time]
overflow = [0.0 for l in instance.lines, t in 1:instance.time]
violations = UnitCommitment._find_violations(
instance = instance,
net_injections = inj,
overflow = overflow,
isf = isf,
lodf = lodf,
max_per_line = 1,
max_per_period = 5,
)
@test length(violations) == 20
end

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@@ -1,143 +0,0 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, Test, LinearAlgebra
@testset "_susceptance_matrix" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
actual = UnitCommitment._susceptance_matrix(instance.lines)
@test size(actual) == (20, 20)
expected = Diagonal([
29.5,
7.83,
8.82,
9.9,
10.04,
10.2,
41.45,
8.35,
3.14,
6.93,
8.77,
6.82,
13.4,
9.91,
15.87,
20.65,
6.46,
9.09,
8.73,
5.02,
])
@test round.(actual, digits = 2) == expected
end
@testset "_reduced_incidence_matrix" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
actual = UnitCommitment._reduced_incidence_matrix(
lines = instance.lines,
buses = instance.buses,
)
@test size(actual) == (20, 13)
@test actual[1, 1] == -1.0
@test actual[3, 1] == 1.0
@test actual[4, 1] == 1.0
@test actual[5, 1] == 1.0
@test actual[3, 2] == -1.0
@test actual[6, 2] == 1.0
@test actual[4, 3] == -1.0
@test actual[6, 3] == -1.0
@test actual[7, 3] == 1.0
@test actual[8, 3] == 1.0
@test actual[9, 3] == 1.0
@test actual[2, 4] == -1.0
@test actual[5, 4] == -1.0
@test actual[7, 4] == -1.0
@test actual[10, 4] == 1.0
@test actual[10, 5] == -1.0
@test actual[11, 5] == 1.0
@test actual[12, 5] == 1.0
@test actual[13, 5] == 1.0
@test actual[8, 6] == -1.0
@test actual[14, 6] == 1.0
@test actual[15, 6] == 1.0
@test actual[14, 7] == -1.0
@test actual[9, 8] == -1.0
@test actual[15, 8] == -1.0
@test actual[16, 8] == 1.0
@test actual[17, 8] == 1.0
@test actual[16, 9] == -1.0
@test actual[18, 9] == 1.0
@test actual[11, 10] == -1.0
@test actual[18, 10] == -1.0
@test actual[12, 11] == -1.0
@test actual[19, 11] == 1.0
@test actual[13, 12] == -1.0
@test actual[19, 12] == -1.0
@test actual[20, 12] == 1.0
@test actual[17, 13] == -1.0
@test actual[20, 13] == -1.0
end
@testset "_injection_shift_factors" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
actual = UnitCommitment._injection_shift_factors(
lines = instance.lines,
buses = instance.buses,
)
@test size(actual) == (20, 13)
@test round.(actual, digits = 2) == [
-0.84 -0.75 -0.67 -0.61 -0.63 -0.66 -0.66 -0.65 -0.65 -0.64 -0.63 -0.63 -0.64
-0.16 -0.25 -0.33 -0.39 -0.37 -0.34 -0.34 -0.35 -0.35 -0.36 -0.37 -0.37 -0.36
0.03 -0.53 -0.15 -0.1 -0.12 -0.14 -0.14 -0.14 -0.13 -0.13 -0.12 -0.12 -0.13
0.06 -0.14 -0.32 -0.22 -0.25 -0.3 -0.3 -0.29 -0.28 -0.27 -0.25 -0.26 -0.27
0.08 -0.07 -0.2 -0.29 -0.26 -0.22 -0.22 -0.22 -0.23 -0.25 -0.26 -0.26 -0.24
0.03 0.47 -0.15 -0.1 -0.12 -0.14 -0.14 -0.14 -0.13 -0.13 -0.12 -0.12 -0.13
0.08 0.31 0.5 -0.3 -0.03 0.36 0.36 0.28 0.23 0.1 -0.0 0.02 0.17
0.0 0.01 0.02 -0.01 -0.22 -0.63 -0.63 -0.45 -0.41 -0.32 -0.24 -0.25 -0.36
0.0 0.01 0.01 -0.01 -0.12 -0.17 -0.17 -0.26 -0.24 -0.18 -0.14 -0.14 -0.21
-0.0 -0.02 -0.03 0.02 -0.66 -0.2 -0.2 -0.29 -0.36 -0.5 -0.63 -0.61 -0.43
-0.0 -0.01 -0.02 0.01 0.21 -0.12 -0.12 -0.17 -0.28 -0.53 0.18 0.15 -0.03
-0.0 -0.0 -0.0 0.0 0.03 -0.02 -0.02 -0.03 -0.02 0.01 -0.52 -0.17 -0.09
-0.0 -0.01 -0.01 0.01 0.11 -0.06 -0.06 -0.09 -0.05 0.02 -0.28 -0.59 -0.31
-0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -1.0 -0.0 -0.0 -0.0 -0.0 -0.0 0.0
0.0 0.01 0.02 -0.01 -0.22 0.37 0.37 -0.45 -0.41 -0.32 -0.24 -0.25 -0.36
0.0 0.01 0.02 -0.01 -0.21 0.12 0.12 0.17 -0.72 -0.47 -0.18 -0.15 0.03
0.0 0.01 0.01 -0.01 -0.14 0.08 0.08 0.12 0.07 -0.03 -0.2 -0.24 -0.6
0.0 0.01 0.02 -0.01 -0.21 0.12 0.12 0.17 0.28 -0.47 -0.18 -0.15 0.03
-0.0 -0.0 -0.0 0.0 0.03 -0.02 -0.02 -0.03 -0.02 0.01 0.48 -0.17 -0.09
-0.0 -0.01 -0.01 0.01 0.14 -0.08 -0.08 -0.12 -0.07 0.03 0.2 0.24 -0.4
]
end
@testset "_line_outage_factors" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
isf_before = UnitCommitment._injection_shift_factors(
lines = instance.lines,
buses = instance.buses,
)
lodf = UnitCommitment._line_outage_factors(
lines = instance.lines,
buses = instance.buses,
isf = isf_before,
)
for contingency in instance.contingencies
for lc in contingency.lines
prev_susceptance = lc.susceptance
lc.susceptance = 0.0
isf_after = UnitCommitment._injection_shift_factors(
lines = instance.lines,
buses = instance.buses,
)
lc.susceptance = prev_susceptance
for lm in instance.lines
expected = isf_after[lm.offset, :]
actual =
isf_before[lm.offset, :] +
lodf[lm.offset, lc.offset] * isf_before[lc.offset, :]
@test norm(expected - actual) < 1e-6
end
end
end
end

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module UnitCommitmentT
using JuliaFormatter
using UnitCommitment
using Test
include("usage.jl")
include("import/egret_test.jl")
include("instance/read_test.jl")
include("instance/migrate_test.jl")
include("model/formulations_test.jl")
include("solution/methods/XavQiuWanThi19/filter_test.jl")
include("solution/methods/XavQiuWanThi19/find_test.jl")
include("solution/methods/XavQiuWanThi19/sensitivity_test.jl")
include("transform/initcond_test.jl")
include("transform/slice_test.jl")
include("transform/randomize/XavQiuAhm2021_test.jl")
include("validation/repair_test.jl")
include("lmp/conventional_test.jl")
include("lmp/aelmp_test.jl")
basedir = dirname(@__FILE__)
function fixture(path::String)::String
return "$basedir/../fixtures/$path"
end
function runtests()
println("Running tests...")
UnitCommitment._setup_logger(level = Base.CoreLogging.Error)
@testset "UnitCommitment" begin
usage_test()
import_egret_test()
instance_read_test()
instance_migrate_test()
model_formulations_test()
solution_methods_XavQiuWanThi19_filter_test()
solution_methods_XavQiuWanThi19_find_test()
solution_methods_XavQiuWanThi19_sensitivity_test()
transform_initcond_test()
transform_slice_test()
transform_randomize_XavQiuAhm2021_test()
validation_repair_test()
lmp_conventional_test()
lmp_aelmp_test()
end
return
end
function format()
JuliaFormatter.format(basedir, verbose = true)
JuliaFormatter.format("$basedir/../../src", verbose = true)
return
end
export runtests, format
end # module UnitCommitmentT

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment
function import_egret_test()
@testset "read_egret_solution" begin
solution =
UnitCommitment.read_egret_solution(fixture("egret_output.json.gz"))
for attr in
["Is on", "Thermal production (MW)", "Thermal production cost (\$)"]
@test attr in keys(solution)
@test "115_STEAM_1" in keys(solution[attr])
@test length(solution[attr]["115_STEAM_1"]) == 48
end
@test solution["Thermal production cost (\$)"]["315_CT_6"][15:20] ==
[0.0, 0.0, 884.44, 1470.71, 1470.71, 884.44]
@test solution["Startup cost (\$)"]["315_CT_6"][15:20] ==
[0.0, 0.0, 5665.23, 0.0, 0.0, 0.0]
@test length(keys(solution["Is on"])) == 154
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, LinearAlgebra, Cbc, JuMP, JSON, GZip
function instance_migrate_test()
@testset "read v0.2" begin
instance = UnitCommitment.read(fixture("/ucjl-0.2.json.gz"))
@test length(instance.scenarios) == 1
sc = instance.scenarios[1]
@test length(sc.reserves_by_name["r1"].amount) == 4
@test sc.thermal_units_by_name["g2"].reserves[1].name == "r1"
end
@testset "read v0.3" begin
instance = UnitCommitment.read(fixture("/ucjl-0.3.json.gz"))
@test length(instance.scenarios) == 1
sc = instance.scenarios[1]
@test length(sc.thermal_units) == 6
@test length(sc.buses) == 14
@test length(sc.lines) == 20
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, LinearAlgebra, Cbc, JuMP, JSON, GZip
function instance_read_test()
@testset "read_benchmark" begin
instance = UnitCommitment.read(fixture("case14.json.gz"))
@test repr(instance) == (
"UnitCommitmentInstance(1 scenarios, 6 thermal units, 0 profiled units, 14 buses, " *
"20 lines, 19 contingencies, 1 price sensitive loads, 4 time steps)"
)
@test length(instance.scenarios) == 1
sc = instance.scenarios[1]
@test length(sc.lines) == 20
@test length(sc.buses) == 14
@test length(sc.thermal_units) == 6
@test length(sc.contingencies) == 19
@test length(sc.price_sensitive_loads) == 1
@test instance.time == 4
@test sc.lines[5].name == "l5"
@test sc.lines[5].source.name == "b2"
@test sc.lines[5].target.name == "b5"
@test sc.lines[5].reactance 0.17388
@test sc.lines[5].susceptance 10.037550333
@test sc.lines[5].normal_flow_limit == [1e8 for t in 1:4]
@test sc.lines[5].emergency_flow_limit == [1e8 for t in 1:4]
@test sc.lines[5].flow_limit_penalty == [5e3 for t in 1:4]
@test sc.lines_by_name["l5"].name == "l5"
@test sc.lines[1].name == "l1"
@test sc.lines[1].source.name == "b1"
@test sc.lines[1].target.name == "b2"
@test sc.lines[1].reactance 0.059170
@test sc.lines[1].susceptance 29.496860773945
@test sc.lines[1].normal_flow_limit == [300.0 for t in 1:4]
@test sc.lines[1].emergency_flow_limit == [400.0 for t in 1:4]
@test sc.lines[1].flow_limit_penalty == [1e3 for t in 1:4]
@test sc.buses[9].name == "b9"
@test sc.buses[9].load == [35.36638, 33.25495, 31.67138, 31.14353]
@test sc.buses_by_name["b9"].name == "b9"
@test sc.reserves[1].name == "r1"
@test sc.reserves[1].type == "spinning"
@test sc.reserves[1].amount == [100.0, 100.0, 100.0, 100.0]
@test sc.reserves_by_name["r1"].name == "r1"
unit = sc.thermal_units[1]
@test unit.name == "g1"
@test unit.bus.name == "b1"
@test unit.ramp_up_limit == 1e6
@test unit.ramp_down_limit == 1e6
@test unit.startup_limit == 1e6
@test unit.shutdown_limit == 1e6
@test unit.must_run == [false for t in 1:4]
@test unit.min_power_cost == [1400.0 for t in 1:4]
@test unit.min_uptime == 1
@test unit.min_downtime == 1
for t in 1:1
@test unit.cost_segments[1].mw[t] == 10.0
@test unit.cost_segments[2].mw[t] == 20.0
@test unit.cost_segments[3].mw[t] == 5.0
@test unit.cost_segments[1].cost[t] 20.0
@test unit.cost_segments[2].cost[t] 30.0
@test unit.cost_segments[3].cost[t] 40.0
end
@test length(unit.startup_categories) == 3
@test unit.startup_categories[1].delay == 1
@test unit.startup_categories[2].delay == 2
@test unit.startup_categories[3].delay == 3
@test unit.startup_categories[1].cost == 1000.0
@test unit.startup_categories[2].cost == 1500.0
@test unit.startup_categories[3].cost == 2000.0
@test length(unit.reserves) == 0
@test sc.thermal_units_by_name["g1"].name == "g1"
unit = sc.thermal_units[2]
@test unit.name == "g2"
@test unit.must_run == [false for t in 1:4]
@test length(unit.reserves) == 1
unit = sc.thermal_units[3]
@test unit.name == "g3"
@test unit.bus.name == "b3"
@test unit.ramp_up_limit == 70.0
@test unit.ramp_down_limit == 70.0
@test unit.startup_limit == 70.0
@test unit.shutdown_limit == 70.0
@test unit.must_run == [true for t in 1:4]
@test unit.min_power_cost == [0.0 for t in 1:4]
@test unit.min_uptime == 1
@test unit.min_downtime == 1
for t in 1:4
@test unit.cost_segments[1].mw[t] 33
@test unit.cost_segments[2].mw[t] 33
@test unit.cost_segments[3].mw[t] 34
@test unit.cost_segments[1].cost[t] 33.75
@test unit.cost_segments[2].cost[t] 38.04
@test unit.cost_segments[3].cost[t] 44.77853
end
@test length(unit.reserves) == 1
@test unit.reserves[1].name == "r1"
@test sc.contingencies[1].lines == [sc.lines[1]]
@test sc.contingencies[1].thermal_units == []
@test sc.contingencies[1].name == "c1"
@test sc.contingencies_by_name["c1"].name == "c1"
load = sc.price_sensitive_loads[1]
@test load.name == "ps1"
@test load.bus.name == "b3"
@test load.revenue == [100.0 for t in 1:4]
@test load.demand == [50.0 for t in 1:4]
@test sc.price_sensitive_loads_by_name["ps1"].name == "ps1"
end
@testset "read_benchmark sub-hourly" begin
instance = UnitCommitment.read(fixture("case14-sub-hourly.json.gz"))
@test instance.time == 4
unit = instance.scenarios[1].thermal_units[1]
@test unit.name == "g1"
@test unit.min_uptime == 2
@test unit.min_downtime == 2
@test length(unit.startup_categories) == 3
@test unit.startup_categories[1].delay == 2
@test unit.startup_categories[2].delay == 4
@test unit.startup_categories[3].delay == 6
@test unit.initial_status == -200
end
@testset "read_benchmark profiled-units" begin
instance = UnitCommitment.read(fixture("case14-profiled.json.gz"))
sc = instance.scenarios[1]
@test length(sc.profiled_units) == 2
first_pu = sc.profiled_units[1]
@test first_pu.name == "g7"
@test first_pu.bus.name == "b4"
@test first_pu.cost == [100.0 for t in 1:4]
@test first_pu.min_power == [60.0 for t in 1:4]
@test first_pu.max_power == [100.0 for t in 1:4]
@test sc.profiled_units_by_name["g7"].name == "g7"
second_pu = sc.profiled_units[2]
@test second_pu.name == "g8"
@test second_pu.bus.name == "b5"
@test second_pu.cost == [50.0 for t in 1:4]
@test second_pu.min_power == [0.0 for t in 1:4]
@test second_pu.max_power == [120.0 for t in 1:4]
@test sc.profiled_units_by_name["g8"].name == "g8"
end
@testset "read_benchmark commitmemt-status" begin
instance = UnitCommitment.read(fixture("case14-fixed-status.json.gz"))
sc = instance.scenarios[1]
@test sc.thermal_units[1].commitment_status == [nothing for t in 1:4]
@test sc.thermal_units[2].commitment_status == [true for t in 1:4]
@test sc.thermal_units[4].commitment_status == [false for t in 1:4]
@test sc.thermal_units[6].commitment_status ==
[false, nothing, true, nothing]
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, Cbc, HiGHS, JuMP
import UnitCommitment: AELMP
function lmp_aelmp_test()
@testset "aelmp" begin
path = fixture("aelmp_simple.json.gz")
# model has to be solved first
instance = UnitCommitment.read(path)
model = UnitCommitment.build_model(
instance = instance,
optimizer = Cbc.Optimizer,
variable_names = true,
)
JuMP.set_silent(model)
UnitCommitment.optimize!(model)
# policy 1: allow offlines; consider startups
aelmp_1 = UnitCommitment.compute_lmp(
model,
AELMP(),
optimizer = HiGHS.Optimizer,
)
@test aelmp_1["s1", "B1", 1] 231.7 atol = 0.1
# policy 2: do not allow offlines; but consider startups
aelmp_2 = UnitCommitment.compute_lmp(
model,
AELMP(
allow_offline_participation = false,
consider_startup_costs = true,
),
optimizer = HiGHS.Optimizer,
)
@test aelmp_2["s1", "B1", 1] 274.3 atol = 0.1
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, Cbc, HiGHS, JuMP
import UnitCommitment: ConventionalLMP
function solve_conventional_testcase(path::String)
instance = UnitCommitment.read(path)
model = UnitCommitment.build_model(
instance = instance,
optimizer = Cbc.Optimizer,
variable_names = true,
)
JuMP.set_silent(model)
UnitCommitment.optimize!(model)
lmp = UnitCommitment.compute_lmp(
model,
ConventionalLMP(),
optimizer = HiGHS.Optimizer,
)
return lmp
end
function lmp_conventional_test()
@testset "conventional" begin
# instance 1
path = fixture("lmp_simple_test_1.json.gz")
lmp = solve_conventional_testcase(path)
@test lmp["s1", "A", 1] == 50.0
@test lmp["s1", "B", 1] == 50.0
# instance 2
path = fixture("lmp_simple_test_2.json.gz")
lmp = solve_conventional_testcase(path)
@test lmp["s1", "A", 1] == 50.0
@test lmp["s1", "B", 1] == 60.0
# instance 3
path = fixture("lmp_simple_test_3.json.gz")
lmp = solve_conventional_testcase(path)
@test lmp["s1", "A", 1] == 50.0
@test lmp["s1", "B", 1] == 70.0
@test lmp["s1", "C", 1] == 100.0
# instance 4
path = fixture("lmp_simple_test_4.json.gz")
lmp = solve_conventional_testcase(path)
@test lmp["s1", "A", 1] == 50.0
@test lmp["s1", "B", 1] == 70.0
@test lmp["s1", "C", 1] == 90.0
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment
using JuMP
using Cbc
using JSON
import UnitCommitment:
ArrCon2000,
CarArr2006,
DamKucRajAta2016,
Formulation,
Gar1962,
KnuOstWat2018,
MorLatRam2013,
PanGua2016,
XavQiuWanThi2019,
WanHob2016
function _test(
formulation::Formulation;
instances = ["case14"],
dump::Bool = false,
)::Nothing
for instance_name in instances
instance = UnitCommitment.read(fixture("$(instance_name).json.gz"))
model = UnitCommitment.build_model(
instance = instance,
formulation = formulation,
optimizer = Cbc.Optimizer,
variable_names = true,
)
set_silent(model)
UnitCommitment.optimize!(model)
solution = UnitCommitment.solution(model)
if dump
open("/tmp/ucjl.json", "w") do f
return write(f, JSON.json(solution, 2))
end
write_to_file(model, "/tmp/ucjl.lp")
end
@test UnitCommitment.validate(instance, solution)
end
return
end
function model_formulations_test()
@testset "formulations" begin
@testset "default" begin
_test(Formulation())
end
@testset "ArrCon2000" begin
_test(Formulation(ramping = ArrCon2000.Ramping()))
end
@testset "DamKucRajAta2016" begin
_test(Formulation(ramping = DamKucRajAta2016.Ramping()))
end
@testset "MorLatRam2013" begin
_test(
Formulation(
ramping = MorLatRam2013.Ramping(),
startup_costs = MorLatRam2013.StartupCosts(),
),
)
end
@testset "PanGua2016" begin
_test(Formulation(ramping = PanGua2016.Ramping()))
end
@testset "Gar1962" begin
_test(Formulation(pwl_costs = Gar1962.PwlCosts()))
end
@testset "CarArr2006" begin
_test(Formulation(pwl_costs = CarArr2006.PwlCosts()))
end
@testset "KnuOstWat2018" begin
_test(Formulation(pwl_costs = KnuOstWat2018.PwlCosts()))
end
@testset "WanHob2016" begin
_test(
Formulation(ramping = WanHob2016.Ramping()),
instances = ["case14-flex"],
)
end
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, Test, LinearAlgebra
import UnitCommitment: _Violation, _offer, _query
function solution_methods_XavQiuWanThi19_filter_test()
@testset "_ViolationFilter" begin
instance = UnitCommitment.read(fixture("case14.json.gz"))
sc = instance.scenarios[1]
filter =
UnitCommitment._ViolationFilter(max_per_line = 1, max_total = 2)
_offer(
filter,
_Violation(
time = 1,
monitored_line = sc.lines[1],
outage_line = nothing,
amount = 100.0,
),
)
_offer(
filter,
_Violation(
time = 1,
monitored_line = sc.lines[1],
outage_line = sc.lines[1],
amount = 300.0,
),
)
_offer(
filter,
_Violation(
time = 1,
monitored_line = sc.lines[1],
outage_line = sc.lines[5],
amount = 500.0,
),
)
_offer(
filter,
_Violation(
time = 1,
monitored_line = sc.lines[1],
outage_line = sc.lines[4],
amount = 400.0,
),
)
_offer(
filter,
_Violation(
time = 1,
monitored_line = sc.lines[2],
outage_line = sc.lines[1],
amount = 200.0,
),
)
_offer(
filter,
_Violation(
time = 1,
monitored_line = sc.lines[2],
outage_line = sc.lines[8],
amount = 100.0,
),
)
actual = _query(filter)
expected = [
_Violation(
time = 1,
monitored_line = sc.lines[2],
outage_line = sc.lines[1],
amount = 200.0,
),
_Violation(
time = 1,
monitored_line = sc.lines[1],
outage_line = sc.lines[5],
amount = 500.0,
),
]
@test actual == expected
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, Test, LinearAlgebra
import UnitCommitment: _Violation, _offer, _query
function solution_methods_XavQiuWanThi19_find_test()
@testset "find_violations" begin
instance = UnitCommitment.read(fixture("case14.json.gz"))
sc = instance.scenarios[1]
for line in sc.lines, t in 1:instance.time
line.normal_flow_limit[t] = 1.0
line.emergency_flow_limit[t] = 1.0
end
isf = UnitCommitment._injection_shift_factors(
lines = sc.lines,
buses = sc.buses,
)
lodf = UnitCommitment._line_outage_factors(
lines = sc.lines,
buses = sc.buses,
isf = isf,
)
inj = [1000.0 for b in 1:13, t in 1:instance.time]
overflow = [0.0 for l in sc.lines, t in 1:instance.time]
violations = UnitCommitment._find_violations(
instance = instance,
sc = sc,
net_injections = inj,
overflow = overflow,
isf = isf,
lodf = lodf,
max_per_line = 1,
max_per_period = 5,
)
@test length(violations) == 20
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, Test, LinearAlgebra
function solution_methods_XavQiuWanThi19_sensitivity_test()
@testset "_susceptance_matrix" begin
instance = UnitCommitment.read(fixture("/case14.json.gz"))
sc = instance.scenarios[1]
actual = UnitCommitment._susceptance_matrix(sc.lines)
@test size(actual) == (20, 20)
expected = Diagonal([
29.5,
7.83,
8.82,
9.9,
10.04,
10.2,
41.45,
8.35,
3.14,
6.93,
8.77,
6.82,
13.4,
9.91,
15.87,
20.65,
6.46,
9.09,
8.73,
5.02,
])
@test round.(actual, digits = 2) == expected
end
@testset "_reduced_incidence_matrix" begin
instance = UnitCommitment.read(fixture("/case14.json.gz"))
sc = instance.scenarios[1]
actual = UnitCommitment._reduced_incidence_matrix(
lines = sc.lines,
buses = sc.buses,
)
@test size(actual) == (20, 13)
@test actual[1, 1] == -1.0
@test actual[3, 1] == 1.0
@test actual[4, 1] == 1.0
@test actual[5, 1] == 1.0
@test actual[3, 2] == -1.0
@test actual[6, 2] == 1.0
@test actual[4, 3] == -1.0
@test actual[6, 3] == -1.0
@test actual[7, 3] == 1.0
@test actual[8, 3] == 1.0
@test actual[9, 3] == 1.0
@test actual[2, 4] == -1.0
@test actual[5, 4] == -1.0
@test actual[7, 4] == -1.0
@test actual[10, 4] == 1.0
@test actual[10, 5] == -1.0
@test actual[11, 5] == 1.0
@test actual[12, 5] == 1.0
@test actual[13, 5] == 1.0
@test actual[8, 6] == -1.0
@test actual[14, 6] == 1.0
@test actual[15, 6] == 1.0
@test actual[14, 7] == -1.0
@test actual[9, 8] == -1.0
@test actual[15, 8] == -1.0
@test actual[16, 8] == 1.0
@test actual[17, 8] == 1.0
@test actual[16, 9] == -1.0
@test actual[18, 9] == 1.0
@test actual[11, 10] == -1.0
@test actual[18, 10] == -1.0
@test actual[12, 11] == -1.0
@test actual[19, 11] == 1.0
@test actual[13, 12] == -1.0
@test actual[19, 12] == -1.0
@test actual[20, 12] == 1.0
@test actual[17, 13] == -1.0
@test actual[20, 13] == -1.0
end
@testset "_injection_shift_factors" begin
instance = UnitCommitment.read(fixture("/case14.json.gz"))
sc = instance.scenarios[1]
actual = UnitCommitment._injection_shift_factors(
lines = sc.lines,
buses = sc.buses,
)
@test size(actual) == (20, 13)
@test round.(actual, digits = 2) == [
-0.84 -0.75 -0.67 -0.61 -0.63 -0.66 -0.66 -0.65 -0.65 -0.64 -0.63 -0.63 -0.64
-0.16 -0.25 -0.33 -0.39 -0.37 -0.34 -0.34 -0.35 -0.35 -0.36 -0.37 -0.37 -0.36
0.03 -0.53 -0.15 -0.1 -0.12 -0.14 -0.14 -0.14 -0.13 -0.13 -0.12 -0.12 -0.13
0.06 -0.14 -0.32 -0.22 -0.25 -0.3 -0.3 -0.29 -0.28 -0.27 -0.25 -0.26 -0.27
0.08 -0.07 -0.2 -0.29 -0.26 -0.22 -0.22 -0.22 -0.23 -0.25 -0.26 -0.26 -0.24
0.03 0.47 -0.15 -0.1 -0.12 -0.14 -0.14 -0.14 -0.13 -0.13 -0.12 -0.12 -0.13
0.08 0.31 0.5 -0.3 -0.03 0.36 0.36 0.28 0.23 0.1 -0.0 0.02 0.17
0.0 0.01 0.02 -0.01 -0.22 -0.63 -0.63 -0.45 -0.41 -0.32 -0.24 -0.25 -0.36
0.0 0.01 0.01 -0.01 -0.12 -0.17 -0.17 -0.26 -0.24 -0.18 -0.14 -0.14 -0.21
-0.0 -0.02 -0.03 0.02 -0.66 -0.2 -0.2 -0.29 -0.36 -0.5 -0.63 -0.61 -0.43
-0.0 -0.01 -0.02 0.01 0.21 -0.12 -0.12 -0.17 -0.28 -0.53 0.18 0.15 -0.03
-0.0 -0.0 -0.0 0.0 0.03 -0.02 -0.02 -0.03 -0.02 0.01 -0.52 -0.17 -0.09
-0.0 -0.01 -0.01 0.01 0.11 -0.06 -0.06 -0.09 -0.05 0.02 -0.28 -0.59 -0.31
-0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -1.0 -0.0 -0.0 -0.0 -0.0 -0.0 0.0
0.0 0.01 0.02 -0.01 -0.22 0.37 0.37 -0.45 -0.41 -0.32 -0.24 -0.25 -0.36
0.0 0.01 0.02 -0.01 -0.21 0.12 0.12 0.17 -0.72 -0.47 -0.18 -0.15 0.03
0.0 0.01 0.01 -0.01 -0.14 0.08 0.08 0.12 0.07 -0.03 -0.2 -0.24 -0.6
0.0 0.01 0.02 -0.01 -0.21 0.12 0.12 0.17 0.28 -0.47 -0.18 -0.15 0.03
-0.0 -0.0 -0.0 0.0 0.03 -0.02 -0.02 -0.03 -0.02 0.01 0.48 -0.17 -0.09
-0.0 -0.01 -0.01 0.01 0.14 -0.08 -0.08 -0.12 -0.07 0.03 0.2 0.24 -0.4
]
end
@testset "_line_outage_factors" begin
instance = UnitCommitment.read(fixture("/case14.json.gz"))
sc = instance.scenarios[1]
isf_before = UnitCommitment._injection_shift_factors(
lines = sc.lines,
buses = sc.buses,
)
lodf = UnitCommitment._line_outage_factors(
lines = sc.lines,
buses = sc.buses,
isf = isf_before,
)
for contingency in sc.contingencies
for lc in contingency.lines
prev_susceptance = lc.susceptance
lc.susceptance = 0.0
isf_after = UnitCommitment._injection_shift_factors(
lines = sc.lines,
buses = sc.buses,
)
lc.susceptance = prev_susceptance
for lm in sc.lines
expected = isf_after[lm.offset, :]
actual =
isf_before[lm.offset, :] +
lodf[lm.offset, lc.offset] * isf_before[lc.offset, :]
@test norm(expected - actual) < 1e-6
end
end
end
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, Cbc, JuMP
function transform_initcond_test()
@testset "generate_initial_conditions!" begin
# Load instance
instance = UnitCommitment.read(fixture("case118-initcond.json.gz"))
optimizer = optimizer_with_attributes(Cbc.Optimizer, "logLevel" => 0)
sc = instance.scenarios[1]
# All units should have unknown initial conditions
for g in sc.thermal_units
@test g.initial_power === nothing
@test g.initial_status === nothing
end
# Generate initial conditions
UnitCommitment.generate_initial_conditions!(sc, optimizer)
# All units should now have known initial conditions
for g in sc.thermal_units
@test g.initial_power !== nothing
@test g.initial_status !== nothing
end
# TODO: Check that initial conditions are feasible
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
import Random
import UnitCommitment: XavQiuAhm2021
using Distributions
using Random
using UnitCommitment, Cbc, JuMP
function get_scenario()
return UnitCommitment.read_benchmark(
"matpower/case118/2017-02-01",
).scenarios[1]
end
system_load(sc) = sum(b.load for b in sc.buses)
test_approx(x, y) = @test isapprox(x, y, atol = 1e-3)
function transform_randomize_XavQiuAhm2021_test()
@testset "XavQiuAhm2021" begin
@testset "cost and load share" begin
sc = get_scenario()
# Check original costs
unit = sc.thermal_units[10]
test_approx(unit.min_power_cost[1], 825.023)
test_approx(unit.cost_segments[1].cost[1], 36.659)
test_approx(unit.startup_categories[1].cost[1], 7570.42)
# Check original load share
bus = sc.buses[1]
prev_system_load = system_load(sc)
test_approx(bus.load[1] / prev_system_load[1], 0.012)
randomize!(
sc,
XavQiuAhm2021.Randomization(randomize_load_profile = false),
rng = MersenneTwister(42),
)
# Check randomized costs
test_approx(unit.min_power_cost[1], 831.977)
test_approx(unit.cost_segments[1].cost[1], 36.968)
test_approx(unit.startup_categories[1].cost[1], 7634.226)
# Check randomized load share
curr_system_load = system_load(sc)
test_approx(bus.load[1] / curr_system_load[1], 0.013)
# System load should not change
@test prev_system_load curr_system_load
end
@testset "load profile" begin
sc = get_scenario()
# Check original load profile
@test round.(system_load(sc), digits = 1)[1:8] [
3059.5,
2983.2,
2937.5,
2953.9,
3073.1,
3356.4,
4068.5,
4018.8,
]
randomize!(
sc,
XavQiuAhm2021.Randomization();
rng = MersenneTwister(42),
)
# Check randomized load profile
@test round.(system_load(sc), digits = 1)[1:8] [
4854.7,
4849.2,
4732.7,
4848.2,
4948.4,
5231.1,
5874.8,
5934.8,
]
end
@testset "profiled unit cost" begin
sc = UnitCommitment.read(
fixture("case14-profiled.json.gz"),
).scenarios[1]
# Check original costs
pu1 = sc.profiled_units[1]
pu2 = sc.profiled_units[2]
test_approx(pu1.cost[1], 100.0)
test_approx(pu2.cost[1], 50.0)
randomize!(
sc,
XavQiuAhm2021.Randomization(randomize_load_profile = false),
rng = MersenneTwister(42),
)
# Check randomized costs
test_approx(pu1.cost[1], 98.039)
test_approx(pu2.cost[1], 48.385)
end
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, LinearAlgebra, Cbc, JuMP, JSON, GZip
function transform_slice_test()
@testset "slice" begin
instance = UnitCommitment.read(fixture("case14.json.gz"))
modified = UnitCommitment.slice(instance, 1:2)
sc = modified.scenarios[1]
# Should update all time-dependent fields
@test modified.time == 2
@test length(sc.power_balance_penalty) == 2
@test length(sc.reserves_by_name["r1"].amount) == 2
for u in sc.thermal_units
@test length(u.max_power) == 2
@test length(u.min_power) == 2
@test length(u.must_run) == 2
@test length(u.min_power_cost) == 2
for s in u.cost_segments
@test length(s.mw) == 2
@test length(s.cost) == 2
end
end
for b in sc.buses
@test length(b.load) == 2
end
for l in sc.lines
@test length(l.normal_flow_limit) == 2
@test length(l.emergency_flow_limit) == 2
@test length(l.flow_limit_penalty) == 2
end
for ps in sc.price_sensitive_loads
@test length(ps.demand) == 2
@test length(ps.revenue) == 2
end
# Should be able to build model without errors
optimizer = optimizer_with_attributes(Cbc.Optimizer, "logLevel" => 0)
model = UnitCommitment.build_model(
instance = modified,
optimizer = optimizer,
variable_names = true,
)
end
@testset "slice profiled units" begin
instance = UnitCommitment.read(fixture("case14-profiled.json.gz"))
modified = UnitCommitment.slice(instance, 1:2)
sc = modified.scenarios[1]
# Should update all time-dependent fields
for pu in sc.profiled_units
@test length(pu.max_power) == 2
@test length(pu.min_power) == 2
end
# Should be able to build model without errors
optimizer = optimizer_with_attributes(Cbc.Optimizer, "logLevel" => 0)
model = UnitCommitment.build_model(
instance = modified,
optimizer = optimizer,
variable_names = true,
)
end
end

66
test/src/usage.jl Normal file
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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, LinearAlgebra, Cbc, JuMP, JSON
function _set_flow_limits!(instance)
for sc in instance.scenarios
sc.power_balance_penalty = [100_000 for _ in 1:instance.time]
for line in sc.lines, t in 1:4
line.normal_flow_limit[t] = 10.0
end
end
end
function usage_test()
@testset "usage" begin
@testset "deterministic" begin
instance = UnitCommitment.read(fixture("case14.json.gz"))
_set_flow_limits!(instance)
optimizer =
optimizer_with_attributes(Cbc.Optimizer, "logLevel" => 0)
model = UnitCommitment.build_model(
instance = instance,
optimizer = optimizer,
variable_names = true,
)
@test name(model[:is_on]["g1", 1]) == "is_on[g1,1]"
# Optimize and retrieve solution
UnitCommitment.optimize!(model)
solution = UnitCommitment.solution(model)
# Write solution to a file
filename = tempname()
UnitCommitment.write(filename, solution)
loaded = JSON.parsefile(filename)
@test length(loaded["Is on"]) == 6
# Verify solution
@test UnitCommitment.validate(instance, solution)
# Reoptimize with fixed solution
UnitCommitment.fix!(model, solution)
UnitCommitment.optimize!(model)
@test UnitCommitment.validate(instance, solution)
end
@testset "stochastic" begin
instance = UnitCommitment.read([
fixture("case14.json.gz"),
fixture("case14.json.gz"),
])
_set_flow_limits!(instance)
@test length(instance.scenarios) == 2
optimizer =
optimizer_with_attributes(Cbc.Optimizer, "logLevel" => 0)
model = UnitCommitment.build_model(
instance = instance,
optimizer = optimizer,
)
UnitCommitment.optimize!(model)
solution = UnitCommitment.solution(model)
end
end
end

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, JSON, GZip, DataStructures
function parse_case14()
return JSON.parse(
GZip.gzopen(fixture("case14.json.gz")),
dicttype = () -> DefaultOrderedDict(nothing),
)
end
function validation_repair_test()
@testset "repair!" begin
@testset "Cost curve should be convex" begin
json = parse_case14()
json["Generators"]["g1"]["Production cost curve (MW)"] =
[100, 150, 200]
json["Generators"]["g1"]["Production cost curve (\$)"] =
[10, 25, 30]
sc = UnitCommitment._from_json(json, repair = false)
@test UnitCommitment.repair!(sc) == 4
end
@testset "Startup limit must be greater than Pmin" begin
json = parse_case14()
json["Generators"]["g1"]["Production cost curve (MW)"] = [100, 150]
json["Generators"]["g1"]["Production cost curve (\$)"] = [100, 150]
json["Generators"]["g1"]["Startup limit (MW)"] = 80
sc = UnitCommitment._from_json(json, repair = false)
@test UnitCommitment.repair!(sc) == 1
end
@testset "Startup costs and delays must be increasing" begin
json = parse_case14()
json["Generators"]["g1"]["Startup costs (\$)"] = [300, 200, 100]
json["Generators"]["g1"]["Startup delays (h)"] = [8, 4, 2]
sc = UnitCommitment._from_json(json, repair = false)
@test UnitCommitment.repair!(sc) == 4
end
end
end

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@@ -1,28 +0,0 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, Cbc, JuMP
@testset "generate_initial_conditions!" begin
# Load instance
instance = UnitCommitment.read("$FIXTURES/case118-initcond.json.gz")
optimizer = optimizer_with_attributes(Cbc.Optimizer, "logLevel" => 0)
# All units should have unknown initial conditions
for g in instance.units
@test g.initial_power === nothing
@test g.initial_status === nothing
end
# Generate initial conditions
UnitCommitment.generate_initial_conditions!(instance, optimizer)
# All units should now have known initial conditions
for g in instance.units
@test g.initial_power !== nothing
@test g.initial_status !== nothing
end
# TODO: Check that initial conditions are feasible
end

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@@ -1,67 +0,0 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
import Random
import UnitCommitment: XavQiuAhm2021
using Distributions
using Random
using UnitCommitment, Cbc, JuMP
get_instance() = UnitCommitment.read_benchmark("matpower/case118/2017-02-01")
system_load(instance) = sum(b.load for b in instance.buses)
test_approx(x, y) = @test isapprox(x, y, atol = 1e-3)
@testset "XavQiuAhm2021" begin
@testset "cost and load share" begin
instance = get_instance()
# Check original costs
unit = instance.units[10]
test_approx(unit.min_power_cost[1], 825.023)
test_approx(unit.cost_segments[1].cost[1], 36.659)
test_approx(unit.startup_categories[1].cost[1], 7570.42)
# Check original load share
bus = instance.buses[1]
prev_system_load = system_load(instance)
test_approx(bus.load[1] / prev_system_load[1], 0.012)
randomize!(
instance,
XavQiuAhm2021.Randomization(randomize_load_profile = false),
rng = MersenneTwister(42),
)
# Check randomized costs
test_approx(unit.min_power_cost[1], 831.977)
test_approx(unit.cost_segments[1].cost[1], 36.968)
test_approx(unit.startup_categories[1].cost[1], 7634.226)
# Check randomized load share
curr_system_load = system_load(instance)
test_approx(bus.load[1] / curr_system_load[1], 0.013)
# System load should not change
@test prev_system_load curr_system_load
end
@testset "load profile" begin
instance = get_instance()
# Check original load profile
@test round.(system_load(instance), digits = 1)[1:8]
[3059.5, 2983.2, 2937.5, 2953.9, 3073.1, 3356.4, 4068.5, 4018.8]
randomize!(
instance,
XavQiuAhm2021.Randomization(),
rng = MersenneTwister(42),
)
# Check randomized load profile
@test round.(system_load(instance), digits = 1)[1:8]
[4854.7, 4849.2, 4732.7, 4848.2, 4948.4, 5231.1, 5874.8, 5934.8]
end
end

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@@ -1,44 +0,0 @@
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, LinearAlgebra, Cbc, JuMP, JSON, GZip
@testset "slice" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
modified = UnitCommitment.slice(instance, 1:2)
# Should update all time-dependent fields
@test modified.time == 2
@test length(modified.power_balance_penalty) == 2
@test length(modified.reserves_by_name["r1"].amount) == 2
for u in modified.units
@test length(u.max_power) == 2
@test length(u.min_power) == 2
@test length(u.must_run) == 2
@test length(u.min_power_cost) == 2
for s in u.cost_segments
@test length(s.mw) == 2
@test length(s.cost) == 2
end
end
for b in modified.buses
@test length(b.load) == 2
end
for l in modified.lines
@test length(l.normal_flow_limit) == 2
@test length(l.emergency_flow_limit) == 2
@test length(l.flow_limit_penalty) == 2
end
for ps in modified.price_sensitive_loads
@test length(ps.demand) == 2
@test length(ps.revenue) == 2
end
# Should be able to build model without errors
optimizer = optimizer_with_attributes(Cbc.Optimizer, "logLevel" => 0)
model = UnitCommitment.build_model(
instance = modified,
optimizer = optimizer,
variable_names = true,
)
end

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