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https://github.com/ANL-CEEESA/UnitCommitment.jl.git
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5 Commits
add_formul
...
feature/sy
| Author | SHA1 | Date | |
|---|---|---|---|
| 6c566e0e79 | |||
| 5c3f7b15d3 | |||
| 7c907a6eb5 | |||
| b1498c50b3 | |||
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000215e991 |
1
.gitignore
vendored
1
.gitignore
vendored
@@ -18,3 +18,4 @@ TODO.md
|
|||||||
docs/_build
|
docs/_build
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||||||
.vscode
|
.vscode
|
||||||
Manifest.toml
|
Manifest.toml
|
||||||
|
*/Manifest.toml
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||||||
|
|||||||
15
Makefile
15
Makefile
@@ -5,23 +5,20 @@
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|||||||
JULIA := julia --color=yes --project=@.
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JULIA := julia --color=yes --project=@.
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||||||
VERSION := 0.2
|
VERSION := 0.2
|
||||||
|
|
||||||
build/sysimage.so: src/utils/sysimage.jl Project.toml Manifest.toml
|
build/sysimage.so: src/utils/sysimage.jl Project.toml
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||||||
mkdir -p build
|
julia --project=. -e "using Pkg; Pkg.instantiate()"
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||||||
mkdir -p benchmark/results/test
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julia --project=test -e "using Pkg; Pkg.instantiate()"
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||||||
cd benchmark; $(JULIA) --trace-compile=../build/precompile.jl benchmark.jl test/case14
|
$(JULIA) src/utils/sysimage.jl test/runtests.jl
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||||||
$(JULIA) src/utils/sysimage.jl
|
|
||||||
|
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||||||
clean:
|
clean:
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rm -rf build/*
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rm -rfv build
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||||||
|
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||||||
docs:
|
docs:
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||||||
cd docs; make clean; make dirhtml
|
cd docs; make clean; make dirhtml
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||||||
rsync -avP --delete-after docs/_build/dirhtml/ ../docs/$(VERSION)/
|
rsync -avP --delete-after docs/_build/dirhtml/ ../docs/$(VERSION)/
|
||||||
|
|
||||||
test: build/sysimage.so
|
test: build/sysimage.so
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||||||
@echo Running tests...
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$(JULIA) --sysimage build/sysimage.so test/runtests.jl
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||||||
$(JULIA) --sysimage build/sysimage.so -e 'using Pkg; Pkg.test("UnitCommitment")' | tee build/test.log
|
|
||||||
|
|
||||||
|
|
||||||
format:
|
format:
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||||||
julia -e 'using JuliaFormatter; format(["src", "test", "benchmark"], verbose=true);'
|
julia -e 'using JuliaFormatter; format(["src", "test", "benchmark"], verbose=true);'
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||||||
|
|||||||
10
Project.toml
10
Project.toml
@@ -15,10 +15,10 @@ Logging = "56ddb016-857b-54e1-b83d-db4d58db5568"
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|||||||
MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
|
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"
|
||||||
SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
|
SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
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||||||
|
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||||||
[compat]
|
[compat]
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||||||
Cbc = "0.7"
|
|
||||||
DataStructures = "0.18"
|
DataStructures = "0.18"
|
||||||
Distributions = "0.25"
|
Distributions = "0.25"
|
||||||
GZip = "0.5"
|
GZip = "0.5"
|
||||||
@@ -27,11 +27,3 @@ JuMP = "0.21"
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|||||||
MathOptInterface = "0.9"
|
MathOptInterface = "0.9"
|
||||||
PackageCompiler = "1"
|
PackageCompiler = "1"
|
||||||
julia = "1"
|
julia = "1"
|
||||||
|
|
||||||
[extras]
|
|
||||||
Cbc = "9961bab8-2fa3-5c5a-9d89-47fab24efd76"
|
|
||||||
Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
|
|
||||||
Gurobi = "2e9cd046-0924-5485-92f1-d5272153d98b"
|
|
||||||
|
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||||||
[targets]
|
|
||||||
test = ["Cbc", "Test", "Gurobi"]
|
|
||||||
|
|||||||
@@ -48,7 +48,7 @@ include("solution/warmstart.jl")
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include("solution/write.jl")
|
include("solution/write.jl")
|
||||||
include("transform/initcond.jl")
|
include("transform/initcond.jl")
|
||||||
include("transform/slice.jl")
|
include("transform/slice.jl")
|
||||||
include("transform/randomize.jl")
|
include("transform/randomize/XavQiuAhm2021.jl")
|
||||||
include("utils/log.jl")
|
include("utils/log.jl")
|
||||||
include("validation/repair.jl")
|
include("validation/repair.jl")
|
||||||
include("validation/validate.jl")
|
include("validation/validate.jl")
|
||||||
|
|||||||
@@ -266,15 +266,20 @@ function _from_json(json; repair = true)
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|||||||
end
|
end
|
||||||
|
|
||||||
instance = UnitCommitmentInstance(
|
instance = UnitCommitmentInstance(
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T,
|
buses_by_name = Dict(b.name => b for b in buses),
|
||||||
power_balance_penalty,
|
buses = buses,
|
||||||
shortfall_penalty,
|
contingencies_by_name = Dict(c.name => c for c in contingencies),
|
||||||
units,
|
contingencies = contingencies,
|
||||||
buses,
|
lines_by_name = Dict(l.name => l for l in lines),
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||||||
lines,
|
lines = lines,
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reserves,
|
power_balance_penalty = power_balance_penalty,
|
||||||
contingencies,
|
price_sensitive_loads_by_name = Dict(ps.name => ps for ps in loads),
|
||||||
loads,
|
price_sensitive_loads = loads,
|
||||||
|
reserves = reserves,
|
||||||
|
shortfall_penalty = shortfall_penalty,
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||||||
|
time = T,
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||||||
|
units_by_name = Dict(g.name => g for g in units),
|
||||||
|
units = units,
|
||||||
)
|
)
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||||||
if repair
|
if repair
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||||||
UnitCommitment.repair!(instance)
|
UnitCommitment.repair!(instance)
|
||||||
|
|||||||
@@ -69,17 +69,21 @@ mutable struct PriceSensitiveLoad
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|||||||
revenue::Vector{Float64}
|
revenue::Vector{Float64}
|
||||||
end
|
end
|
||||||
|
|
||||||
mutable struct UnitCommitmentInstance
|
Base.@kwdef mutable struct UnitCommitmentInstance
|
||||||
time::Int
|
buses_by_name::Dict{AbstractString,Bus}
|
||||||
power_balance_penalty::Vector{Float64}
|
|
||||||
"Penalty for failing to meet reserve requirement."
|
|
||||||
shortfall_penalty::Vector{Float64}
|
|
||||||
units::Vector{Unit}
|
|
||||||
buses::Vector{Bus}
|
buses::Vector{Bus}
|
||||||
lines::Vector{TransmissionLine}
|
contingencies_by_name::Dict{AbstractString,Contingency}
|
||||||
reserves::Reserves
|
|
||||||
contingencies::Vector{Contingency}
|
contingencies::Vector{Contingency}
|
||||||
|
lines_by_name::Dict{AbstractString,TransmissionLine}
|
||||||
|
lines::Vector{TransmissionLine}
|
||||||
|
power_balance_penalty::Vector{Float64}
|
||||||
|
price_sensitive_loads_by_name::Dict{AbstractString,PriceSensitiveLoad}
|
||||||
price_sensitive_loads::Vector{PriceSensitiveLoad}
|
price_sensitive_loads::Vector{PriceSensitiveLoad}
|
||||||
|
reserves::Reserves
|
||||||
|
shortfall_penalty::Vector{Float64}
|
||||||
|
time::Int
|
||||||
|
units_by_name::Dict{AbstractString,Unit}
|
||||||
|
units::Vector{Unit}
|
||||||
end
|
end
|
||||||
|
|
||||||
function Base.show(io::IO, instance::UnitCommitmentInstance)
|
function Base.show(io::IO, instance::UnitCommitmentInstance)
|
||||||
|
|||||||
@@ -21,8 +21,6 @@ Arguments
|
|||||||
- `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 details of which constraints, variables, etc. to use
|
|
||||||
- `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
|
||||||
|
|||||||
@@ -2,15 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_ramp_eqs!(model, unit, formulation_prod_vars, formulation_ramping, formulation_status_vars)::Nothing
|
|
||||||
|
|
||||||
Ensure constraints on ramping are met.
|
|
||||||
Based on Arroyo and Conejo (2000).
|
|
||||||
Eqns. (24), (25) in Knueven et al. (2020).
|
|
||||||
|
|
||||||
Adds constraints identified by `ArrCon200.Ramping` to `model` using variables `Gar1962.ProdVars` and `is_on` from `Gar1962.StatusVars`.
|
|
||||||
"""
|
|
||||||
function _add_ramp_eqs!(
|
function _add_ramp_eqs!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -31,6 +22,7 @@ function _add_ramp_eqs!(
|
|||||||
reserve = model[:reserve]
|
reserve = model[:reserve]
|
||||||
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)
|
||||||
|
|
||||||
# Gar1962.ProdVars
|
# Gar1962.ProdVars
|
||||||
prod_above = model[:prod_above]
|
prod_above = model[:prod_above]
|
||||||
@@ -40,8 +32,6 @@ function _add_ramp_eqs!(
|
|||||||
switch_off = model[:switch_off]
|
switch_off = model[:switch_off]
|
||||||
switch_on = model[:switch_on]
|
switch_on = model[:switch_on]
|
||||||
|
|
||||||
is_initially_on = _is_initially_on(g) > 0
|
|
||||||
|
|
||||||
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
|
||||||
@@ -66,7 +56,7 @@ function _add_ramp_eqs!(
|
|||||||
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[gn, t-1]
|
||||||
|
|
||||||
# Equation (24) in Knueven et al. (2020)
|
# Equation (24) in Kneuven et al. (2020)
|
||||||
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 <=
|
||||||
@@ -97,7 +87,7 @@ function _add_ramp_eqs!(
|
|||||||
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[gn, t]
|
||||||
|
|
||||||
# Equation (25) in Knueven et al. (2020)
|
# Equation (25) in Kneuven et al. (2020)
|
||||||
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 <=
|
||||||
|
|||||||
@@ -13,12 +13,6 @@ module ArrCon2000
|
|||||||
|
|
||||||
import ..RampingFormulation
|
import ..RampingFormulation
|
||||||
|
|
||||||
"""
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* `eq_ramp_up`: Equation (24) in Knueven et al. (2020)
|
|
||||||
* `eq_ramp_down`: Equation (25) in Knueven et al. (2020)
|
|
||||||
"""
|
|
||||||
struct Ramping <: RampingFormulation end
|
struct Ramping <: RampingFormulation end
|
||||||
|
|
||||||
end
|
end
|
||||||
|
|||||||
@@ -2,12 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_production_piecewise_linear_eqs!
|
|
||||||
|
|
||||||
Ensure respect of production limits along each segment.
|
|
||||||
Creates constraints `CarArr2006.PwlCosts` using variables `Gar1962.StatusVars`
|
|
||||||
"""
|
|
||||||
function _add_production_piecewise_linear_eqs!(
|
function _add_production_piecewise_linear_eqs!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -27,7 +21,7 @@ function _add_production_piecewise_linear_eqs!(
|
|||||||
for t in 1:model[:instance].time
|
for t in 1:model[:instance].time
|
||||||
gn = g.name
|
gn = g.name
|
||||||
for k in 1:K
|
for k in 1:K
|
||||||
# Equation (45) in Knueven et al. (2020)
|
# Equation (45) in Kneuven et al. (2020)
|
||||||
# NB: when reading instance, UnitCommitment.jl already calculates
|
# NB: when reading instance, UnitCommitment.jl already calculates
|
||||||
# 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
|
||||||
@@ -42,14 +36,14 @@ function _add_production_piecewise_linear_eqs!(
|
|||||||
set_upper_bound(segprod[gn, t, k], g.cost_segments[k].mw[t])
|
set_upper_bound(segprod[gn, t, k], g.cost_segments[k].mw[t])
|
||||||
|
|
||||||
# Definition of production
|
# Definition of production
|
||||||
# Equation (43) in Knueven et al. (2020)
|
# Equation (43) in Kneuven et al. (2020)
|
||||||
eq_prod_above_def[gn, t] = @constraint(
|
eq_prod_above_def[gn, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
prod_above[gn, t] == sum(segprod[gn, t, k] for k in 1:K)
|
prod_above[gn, t] == sum(segprod[gn, t, k] for k in 1:K)
|
||||||
)
|
)
|
||||||
|
|
||||||
# Objective function
|
# Objective function
|
||||||
# Equation (44) in Knueven 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[gn, t, k],
|
||||||
|
|||||||
@@ -14,16 +14,6 @@ module CarArr2006
|
|||||||
|
|
||||||
import ..PiecewiseLinearCostsFormulation
|
import ..PiecewiseLinearCostsFormulation
|
||||||
|
|
||||||
"""
|
|
||||||
Based on Garver (1962) and Carrión and Arryo (2006),
|
|
||||||
which replaces (42) in Knueven et al. (2020) with a weaker version missing the on/off variable.
|
|
||||||
Equations (45), (43), (44) in Knueven et al. (2020).
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* `eq_prod_above_def`: Equation (43) in Knueven et al. (2020)
|
|
||||||
* `eq_segprod_limit`: Equation (45) in Knueven et al. (2020)
|
|
||||||
"""
|
|
||||||
struct PwlCosts <: PiecewiseLinearCostsFormulation end
|
struct PwlCosts <: PiecewiseLinearCostsFormulation end
|
||||||
|
|
||||||
end
|
end
|
||||||
|
|||||||
@@ -2,26 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_ramp_eqs!
|
|
||||||
|
|
||||||
Ensure constraints on ramping are met.
|
|
||||||
Based on Damcı-Kurt et al. (2016).
|
|
||||||
Eqns. (35), (36) in Knueven et al. (2020).
|
|
||||||
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* :prod_above
|
|
||||||
* :reserve
|
|
||||||
* :is_on
|
|
||||||
* :switch_on
|
|
||||||
* :switch_off],
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* :eq_str_ramp_up
|
|
||||||
* :eq_str_ramp_down
|
|
||||||
"""
|
|
||||||
function _add_ramp_eqs!(
|
function _add_ramp_eqs!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -34,14 +14,12 @@ function _add_ramp_eqs!(
|
|||||||
RESERVES_WHEN_RAMP_UP = true
|
RESERVES_WHEN_RAMP_UP = true
|
||||||
RESERVES_WHEN_RAMP_DOWN = true
|
RESERVES_WHEN_RAMP_DOWN = true
|
||||||
RESERVES_WHEN_SHUT_DOWN = true
|
RESERVES_WHEN_SHUT_DOWN = true
|
||||||
is_initially_on = _is_initially_on(g)
|
known_initial_conditions = true
|
||||||
|
is_initially_on = (g.initial_status > 0)
|
||||||
# The following are the same for generator g across all time periods
|
SU = g.startup_limit
|
||||||
SU = g.startup_limit # startup rate
|
SD = g.shutdown_limit
|
||||||
SD = g.shutdown_limit # shutdown rate
|
RU = g.ramp_up_limit
|
||||||
RU = g.ramp_up_limit # ramp up rate
|
RD = g.ramp_down_limit
|
||||||
RD = g.ramp_down_limit # ramp down rate
|
|
||||||
|
|
||||||
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)
|
||||||
@@ -78,7 +56,7 @@ function _add_ramp_eqs!(
|
|||||||
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[gn, t-1]
|
||||||
|
|
||||||
# Equation (35) in Knueven 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[gn, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
@@ -98,7 +76,7 @@ function _add_ramp_eqs!(
|
|||||||
# (instead of using the amount above minimum, as min prod for t < 1 is unknown)
|
# (instead of using the amount above minimum, as min prod for t < 1 is unknown)
|
||||||
max_prod_this_period += g.min_power[t] * is_on[gn, t]
|
max_prod_this_period += g.min_power[t] * is_on[gn, t]
|
||||||
|
|
||||||
# Modified version of equation (35) in Knueven 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[gn, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
@@ -116,12 +94,12 @@ function _add_ramp_eqs!(
|
|||||||
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]
|
||||||
elseif is_initially_on
|
elseif (known_initial_conditions && g.initial_status > 0)
|
||||||
on_last_period = 1.0
|
on_last_period = 1.0
|
||||||
end
|
end
|
||||||
|
|
||||||
if t > 1 && time_invariant
|
if t > 1 && time_invariant
|
||||||
# Equation (36) in Knueven et al. (2020)
|
# Equation (36) in Kneuven et al. (2020)
|
||||||
eq_str_ramp_down[gn, t] = @constraint(
|
eq_str_ramp_down[gn, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
max_prod_last_period - min_prod_this_period <=
|
max_prod_last_period - min_prod_this_period <=
|
||||||
@@ -132,7 +110,7 @@ function _add_ramp_eqs!(
|
|||||||
# Add back in min power
|
# Add back in min power
|
||||||
min_prod_this_period += g.min_power[t] * is_on[gn, t]
|
min_prod_this_period += g.min_power[t] * is_on[gn, t]
|
||||||
|
|
||||||
# Modified version of equation (36) in Knueven 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[gn, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
|
|||||||
@@ -2,11 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_production_vars!(model, unit, formulation_prod_vars)
|
|
||||||
|
|
||||||
Adds symbols identified by `Gar1962.ProdVars` to `model`.
|
|
||||||
"""
|
|
||||||
function _add_production_vars!(
|
function _add_production_vars!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -23,23 +18,6 @@ function _add_production_vars!(
|
|||||||
return
|
return
|
||||||
end
|
end
|
||||||
|
|
||||||
"""
|
|
||||||
_add_production_limit_eqs!(model, unit, formulation_prod_vars)
|
|
||||||
|
|
||||||
Ensure production limit constraints are met.
|
|
||||||
Based on Garver (1962) and Morales-España et al. (2013).
|
|
||||||
Eqns. (18), part of (69) in Knueven et al. (2020).
|
|
||||||
|
|
||||||
===
|
|
||||||
Variables
|
|
||||||
* :is_on
|
|
||||||
* :prod_above
|
|
||||||
* :reserve
|
|
||||||
|
|
||||||
===
|
|
||||||
Constraints
|
|
||||||
* :eq_prod_limit
|
|
||||||
"""
|
|
||||||
function _add_production_limit_eqs!(
|
function _add_production_limit_eqs!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -52,13 +30,13 @@ function _add_production_limit_eqs!(
|
|||||||
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 Knueven 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])
|
add_to_expression!(model[:obj], is_on[gn, t], g.min_power_cost[t])
|
||||||
|
|
||||||
# Production limit
|
# Production limit
|
||||||
# Equation (18) in Knueven et al. (2020)
|
# Equation (18) in Kneuven et al. (2020)
|
||||||
# as \bar{p}_g(t) \le \bar{P}_g u_g(t)
|
# as \bar{p}_g(t) \le \bar{P}_g u_g(t)
|
||||||
# amk: this is a weaker version of (20) and (21) in Knueven et al. (2020)
|
# amk: this is a weaker version of (20) and (21) in Kneuven et al. (2020)
|
||||||
# but keeping it here in case those are not present
|
# but keeping it here in case those are not present
|
||||||
power_diff = max(g.max_power[t], 0.0) - max(g.min_power[t], 0.0)
|
power_diff = max(g.max_power[t], 0.0) - max(g.min_power[t], 0.0)
|
||||||
if power_diff < 1e-7
|
if power_diff < 1e-7
|
||||||
|
|||||||
@@ -2,28 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_production_piecewise_linear_eqs!
|
|
||||||
|
|
||||||
Ensure respect of production limits along each segment.
|
|
||||||
Based on Garver (1962).
|
|
||||||
Equations (42), (43), (44) in Knueven et al. (2020).
|
|
||||||
NB: when reading instance, UnitCommitment.jl already calculates difference between max power for segments k and k-1,
|
|
||||||
so the value of cost_segments[k].mw[t] is the max production *for that segment*.
|
|
||||||
|
|
||||||
Added to `model`: `:eq_prod_above_def` and `:eq_segprod_limit`.
|
|
||||||
|
|
||||||
===
|
|
||||||
Variables
|
|
||||||
* :segprod
|
|
||||||
* :is_on
|
|
||||||
* :prod_above
|
|
||||||
|
|
||||||
===
|
|
||||||
Constraints
|
|
||||||
* :eq_prod_above_def
|
|
||||||
* :eq_segprod_limit
|
|
||||||
"""
|
|
||||||
function _add_production_piecewise_linear_eqs!(
|
function _add_production_piecewise_linear_eqs!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -45,14 +23,14 @@ function _add_production_piecewise_linear_eqs!(
|
|||||||
K = length(g.cost_segments)
|
K = length(g.cost_segments)
|
||||||
for t in 1:model[:instance].time
|
for t in 1:model[:instance].time
|
||||||
# Definition of production
|
# Definition of production
|
||||||
# Equation (43) in Knueven et al. (2020)
|
# Equation (43) in Kneuven et al. (2020)
|
||||||
eq_prod_above_def[gn, t] = @constraint(
|
eq_prod_above_def[gn, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
prod_above[gn, t] == sum(segprod[gn, t, k] for k in 1:K)
|
prod_above[gn, t] == sum(segprod[gn, t, k] for k in 1:K)
|
||||||
)
|
)
|
||||||
|
|
||||||
for k in 1:K
|
for k in 1:K
|
||||||
# Equation (42) in Knueven et al. (2020)
|
# Equation (42) in Kneuven et al. (2020)
|
||||||
# Without this, solvers will add a lot of implied bound cuts to
|
# Without this, solvers will add a lot of implied bound cuts to
|
||||||
# have this same effect.
|
# have this same effect.
|
||||||
# NB: when reading instance, UnitCommitment.jl already calculates
|
# NB: when reading instance, UnitCommitment.jl already calculates
|
||||||
@@ -69,7 +47,7 @@ function _add_production_piecewise_linear_eqs!(
|
|||||||
set_upper_bound(segprod[gn, t, k], g.cost_segments[k].mw[t])
|
set_upper_bound(segprod[gn, t, k], g.cost_segments[k].mw[t])
|
||||||
|
|
||||||
# Objective function
|
# Objective function
|
||||||
# Equation (44) in Knueven 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[gn, t, k],
|
||||||
|
|||||||
@@ -2,12 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_status_vars!
|
|
||||||
|
|
||||||
Adds symbols identified by `Gar1962.StatusVars` to `model`.
|
|
||||||
Fix variables if a certain generator _must_ run or based on initial conditions.
|
|
||||||
"""
|
|
||||||
function _add_status_vars!(
|
function _add_status_vars!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -16,108 +10,20 @@ function _add_status_vars!(
|
|||||||
is_on = _init(model, :is_on)
|
is_on = _init(model, :is_on)
|
||||||
switch_on = _init(model, :switch_on)
|
switch_on = _init(model, :switch_on)
|
||||||
switch_off = _init(model, :switch_off)
|
switch_off = _init(model, :switch_off)
|
||||||
FIX_VARS = !formulation_status_vars.fix_vars_via_constraint
|
|
||||||
is_initially_on = _is_initially_on(g) > 0
|
|
||||||
for t in 1:model[:instance].time
|
for t in 1:model[:instance].time
|
||||||
|
if g.must_run[t]
|
||||||
|
is_on[g.name, t] = 1.0
|
||||||
|
switch_on[g.name, t] = (t == 1 ? 1.0 - _is_initially_on(g) : 0.0)
|
||||||
|
switch_off[g.name, t] = 0.0
|
||||||
|
else
|
||||||
is_on[g.name, t] = @variable(model, binary = true)
|
is_on[g.name, t] = @variable(model, binary = true)
|
||||||
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)
|
||||||
|
|
||||||
# Use initial conditions and whether a unit must run to fix variables
|
|
||||||
if FIX_VARS
|
|
||||||
# Fix variables using fix function
|
|
||||||
if g.must_run[t]
|
|
||||||
# If the generator _must_ run, then it is obviously on and cannot be switched off
|
|
||||||
# In the first time period, force unit to switch on if was off before
|
|
||||||
# Otherwise, unit is on, and will never turn off, so will never need to turn on
|
|
||||||
fix(is_on[g.name, t], 1.0; force = true)
|
|
||||||
fix(
|
|
||||||
switch_on[g.name, t],
|
|
||||||
(t == 1 ? 1.0 - _is_initially_on(g) : 0.0);
|
|
||||||
force = true,
|
|
||||||
)
|
|
||||||
fix(switch_off[g.name, t], 0.0; force = true)
|
|
||||||
elseif t == 1
|
|
||||||
if is_initially_on
|
|
||||||
# Generator was on (for g.initial_status time periods),
|
|
||||||
# so cannot be more switched on until the period after the first time it can be turned off
|
|
||||||
fix(switch_on[g.name, 1], 0.0; force = true)
|
|
||||||
else
|
|
||||||
# Generator is initially off (for -g.initial_status time periods)
|
|
||||||
# Cannot be switched off more
|
|
||||||
fix(switch_off[g.name, 1], 0.0; force = true)
|
|
||||||
end
|
|
||||||
end
|
|
||||||
else
|
|
||||||
# Add explicit constraint if !FIX_VARS
|
|
||||||
if g.must_run[t]
|
|
||||||
is_on[g.name, t] = 1.0
|
|
||||||
switch_on[g.name, t] =
|
|
||||||
(t == 1 ? 1.0 - _is_initially_on(g) : 0.0)
|
|
||||||
switch_off[g.name, t] = 0.0
|
|
||||||
elseif t == 1
|
|
||||||
if is_initially_on
|
|
||||||
switch_on[g.name, t] = 0.0
|
|
||||||
else
|
|
||||||
switch_off[g.name, t] = 0.0
|
|
||||||
end
|
|
||||||
end
|
|
||||||
end
|
|
||||||
|
|
||||||
# Use initial conditions and whether a unit must run to fix variables
|
|
||||||
if FIX_VARS
|
|
||||||
# Fix variables using fix function
|
|
||||||
if g.must_run[t]
|
|
||||||
# If the generator _must_ run, then it is obviously on and cannot be switched off
|
|
||||||
# In the first time period, force unit to switch on if was off before
|
|
||||||
# Otherwise, unit is on, and will never turn off, so will never need to turn on
|
|
||||||
fix(is_on[g.name, t], 1.0; force = true)
|
|
||||||
fix(
|
|
||||||
switch_on[g.name, t],
|
|
||||||
(t == 1 ? 1.0 - _is_initially_on(g) : 0.0);
|
|
||||||
force = true,
|
|
||||||
)
|
|
||||||
fix(switch_off[g.name, t], 0.0; force = true)
|
|
||||||
elseif t == 1
|
|
||||||
if is_initially_on
|
|
||||||
# Generator was on (for g.initial_status time periods),
|
|
||||||
# so cannot be more switched on until the period after the first time it can be turned off
|
|
||||||
fix(switch_on[g.name, 1], 0.0; force = true)
|
|
||||||
else
|
|
||||||
# Generator is initially off (for -g.initial_status time periods)
|
|
||||||
# Cannot be switched off more
|
|
||||||
fix(switch_off[g.name, 1], 0.0; force = true)
|
|
||||||
end
|
|
||||||
end
|
|
||||||
else
|
|
||||||
# Add explicit constraint if !FIX_VARS
|
|
||||||
if g.must_run[t]
|
|
||||||
is_on[g.name, t] = 1.0
|
|
||||||
switch_on[g.name, t] =
|
|
||||||
(t == 1 ? 1.0 - _is_initially_on(g) : 0.0)
|
|
||||||
switch_off[g.name, t] = 0.0
|
|
||||||
elseif t == 1
|
|
||||||
if is_initially_on
|
|
||||||
switch_on[g.name, t] = 0.0
|
|
||||||
else
|
|
||||||
switch_off[g.name, t] = 0.0
|
|
||||||
end
|
|
||||||
end
|
|
||||||
end
|
end
|
||||||
end
|
end
|
||||||
return
|
return
|
||||||
end
|
end
|
||||||
|
|
||||||
"""
|
|
||||||
_add_status_eqs!
|
|
||||||
|
|
||||||
Creates constraints `eq_binary_link` and `eq_switch_on_off` using variables in `Gar1962.StatusVars`.
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* `eq_binary_link`
|
|
||||||
* `eq_switch_on_off`
|
|
||||||
"""
|
|
||||||
function _add_status_eqs!(
|
function _add_status_eqs!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -129,12 +35,8 @@ function _add_status_eqs!(
|
|||||||
switch_off = model[:switch_off]
|
switch_off = model[:switch_off]
|
||||||
switch_on = model[:switch_on]
|
switch_on = model[:switch_on]
|
||||||
for t in 1:model[:instance].time
|
for t in 1:model[:instance].time
|
||||||
if g.must_run[t]
|
if !g.must_run[t]
|
||||||
continue
|
|
||||||
end
|
|
||||||
|
|
||||||
# Link binary variables
|
# Link binary variables
|
||||||
# Equation (2) in Knueven et al. (2020), originally from Garver (1962)
|
|
||||||
if t == 1
|
if t == 1
|
||||||
eq_binary_link[g.name, t] = @constraint(
|
eq_binary_link[g.name, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
@@ -148,13 +50,12 @@ function _add_status_eqs!(
|
|||||||
switch_on[g.name, t] - switch_off[g.name, t]
|
switch_on[g.name, t] - switch_off[g.name, t]
|
||||||
)
|
)
|
||||||
end
|
end
|
||||||
|
|
||||||
# Cannot switch on and off at the same time
|
# Cannot switch on and off at the same time
|
||||||
# amk: I am not sure this is in Knueven et al. (2020)
|
|
||||||
eq_switch_on_off[g.name, t] = @constraint(
|
eq_switch_on_off[g.name, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
switch_on[g.name, t] + switch_off[g.name, t] <= 1
|
switch_on[g.name, t] + switch_off[g.name, t] <= 1
|
||||||
)
|
)
|
||||||
end
|
end
|
||||||
|
end
|
||||||
return
|
return
|
||||||
end
|
end
|
||||||
|
|||||||
@@ -17,53 +17,8 @@ import ..PiecewiseLinearCostsFormulation
|
|||||||
import ..ProductionVarsFormulation
|
import ..ProductionVarsFormulation
|
||||||
import ..StatusVarsFormulation
|
import ..StatusVarsFormulation
|
||||||
|
|
||||||
"""
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* `prod_above`:
|
|
||||||
[gen, t];
|
|
||||||
*production above minimum required level*;
|
|
||||||
lb: 0, ub: Inf.
|
|
||||||
KnuOstWat2020: `p'_g(t)`
|
|
||||||
* `segprod`:
|
|
||||||
[gen, segment, t];
|
|
||||||
*how much generator produces on cost segment in time t*;
|
|
||||||
lb: 0, ub: Inf.
|
|
||||||
KnuOstWat2020: `p_g^l(t)`
|
|
||||||
"""
|
|
||||||
struct ProdVars <: ProductionVarsFormulation end
|
struct ProdVars <: ProductionVarsFormulation end
|
||||||
|
|
||||||
struct PwlCosts <: PiecewiseLinearCostsFormulation end
|
struct PwlCosts <: PiecewiseLinearCostsFormulation end
|
||||||
|
struct StatusVars <: StatusVarsFormulation end
|
||||||
"""
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* `is_on`:
|
|
||||||
[gen, t];
|
|
||||||
*is generator on at time t?*
|
|
||||||
lb: 0, ub: 1, binary.
|
|
||||||
KnuOstWat2020: `u_g(t)`
|
|
||||||
* `switch_on`:
|
|
||||||
[gen, t];
|
|
||||||
*indicator that generator will be turned on at t*;
|
|
||||||
lb: 0, ub: 1, binary.
|
|
||||||
KnuOstWat2020: `v_g(t)`
|
|
||||||
* `switch_off`: binary;
|
|
||||||
[gen, t];
|
|
||||||
*indicator that generator will be turned off at t*;
|
|
||||||
lb: 0, ub: 1, binary.
|
|
||||||
KnuOstWat2020: `w_g(t)`
|
|
||||||
|
|
||||||
Arguments
|
|
||||||
---
|
|
||||||
* `fix_vars_via_constraint`:
|
|
||||||
indicator for whether to set vars to a constant using `fix` or by adding an explicit constraint
|
|
||||||
(particulary useful for debugging purposes).
|
|
||||||
"""
|
|
||||||
struct StatusVars <: StatusVarsFormulation
|
|
||||||
fix_vars_via_constraint::Bool
|
|
||||||
|
|
||||||
StatusVars() = new(false)
|
|
||||||
end
|
|
||||||
|
|
||||||
end
|
end
|
||||||
|
|||||||
@@ -1,100 +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.
|
|
||||||
|
|
||||||
"""
|
|
||||||
_add_startup_shutdown_limit_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
|
||||||
|
|
||||||
Startup and shutdown limits from Gentile et al. (2017).
|
|
||||||
Eqns. (20), (23a), and (23b) in Knueven et al. (2020).
|
|
||||||
|
|
||||||
Creates constraints `eq_startstop_limit`, `eq_startup_limit`, and `eq_shutdown_limit`
|
|
||||||
using variables `Gar1962.StatusVars`, `prod_above` from `Gar1962.ProdVars`, and `reserve`.
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* `eq_startstop_limit`
|
|
||||||
* `eq_startup_limit`
|
|
||||||
* `eq_shutdown_limit`
|
|
||||||
"""
|
|
||||||
function _add_startup_shutdown_limit_eqs!(
|
|
||||||
model::JuMP.Model,
|
|
||||||
g::Unit,
|
|
||||||
formulation_status_vars::Gar1962.StatusVars,
|
|
||||||
)::Nothing
|
|
||||||
# TODO: Move upper case constants to model[:instance]
|
|
||||||
RESERVES_WHEN_START_UP = true
|
|
||||||
RESERVES_WHEN_RAMP_UP = true
|
|
||||||
RESERVES_WHEN_RAMP_DOWN = true
|
|
||||||
RESERVES_WHEN_SHUT_DOWN = true
|
|
||||||
|
|
||||||
eq_startstop_limit = _init(model, :eq_startstop_limit)
|
|
||||||
eq_shutdown_limit = _init(model, :eq_shutdown_limit)
|
|
||||||
eq_startup_limit = _init(model, :eq_startup_limit)
|
|
||||||
|
|
||||||
is_on = model[:is_on]
|
|
||||||
prod_above = model[:prod_above]
|
|
||||||
reserve = model[:reserve]
|
|
||||||
switch_off = model[:switch_off]
|
|
||||||
switch_on = model[:switch_on]
|
|
||||||
|
|
||||||
T = model[:instance].time
|
|
||||||
gi = g.name
|
|
||||||
|
|
||||||
if g.initial_power > g.shutdown_limit
|
|
||||||
#eqs.shutdown_limit[gi, 0] = @constraint(mip, vars.switch_off[gi, 1] <= 0)
|
|
||||||
if formulation_status_vars.always_create_vars
|
|
||||||
fix(switch_off[gi, 1], 0.0; force = true)
|
|
||||||
@constraint(mip, vars.switch_off[gi, 1] <= 0)
|
|
||||||
else
|
|
||||||
switch_off[gi, 1] = 0.0
|
|
||||||
end
|
|
||||||
end
|
|
||||||
|
|
||||||
for t in 1:T
|
|
||||||
## 2020-10-09 amk: added eqn (20) and check of g.min_uptime
|
|
||||||
# Not present in (23) in Kneueven et al.
|
|
||||||
if g.min_uptime > 1
|
|
||||||
# Equation (20) in Knueven et al. (2020)
|
|
||||||
eqs.startstop_limit[gi, t] = @constraint(
|
|
||||||
model,
|
|
||||||
prod_above[gi, t] + reserve[gi, t] <=
|
|
||||||
(g.max_power[t] - g.min_power[t]) * is_on[gi, t] -
|
|
||||||
max(0, g.max_power[t] - g.startup_limit) * switch_on[gi, t] - (
|
|
||||||
t < T ?
|
|
||||||
max(0, g.max_power[t] - g.shutdown_limit) *
|
|
||||||
switch_off[gi, t+1] : 0.0
|
|
||||||
)
|
|
||||||
)
|
|
||||||
else
|
|
||||||
## Startup limits
|
|
||||||
# Equation (23a) in Knueven et al. (2020)
|
|
||||||
eqs.startup_limit[gi, t] = @constraint(
|
|
||||||
model,
|
|
||||||
prod_above[gi, t] + reserve[gi, t] <=
|
|
||||||
(g.max_power[t] - g.min_power[t]) * is_on[gi, t] -
|
|
||||||
max(0, g.max_power[t] - g.startup_limit) * switch_on[gi, t] - (
|
|
||||||
t < T ?
|
|
||||||
max(0, g.startup_limit - g.shutdown_limit) *
|
|
||||||
switch_off[gi, t+1] : 0.0
|
|
||||||
)
|
|
||||||
)
|
|
||||||
|
|
||||||
## Shutdown limits
|
|
||||||
if t < T
|
|
||||||
# Equation (23b) in Knueven et al. (2020)
|
|
||||||
eqs.shutdown_limit[gi, t] = @constraint(
|
|
||||||
model,
|
|
||||||
prod_above[gi, t] + reserve[gi, t] <=
|
|
||||||
(g.max_power[t] - g.min_power[t]) * xis_on[gi, t] - (
|
|
||||||
t < T ?
|
|
||||||
max(0, g.max_power[t] - g.shutdown_limit) *
|
|
||||||
switch_off[gi, t+1] : 0.0
|
|
||||||
) -
|
|
||||||
max(0, g.shutdown_limit - g.startup_limit) *
|
|
||||||
switch_on[gi, t]
|
|
||||||
)
|
|
||||||
end
|
|
||||||
end
|
|
||||||
end
|
|
||||||
end
|
|
||||||
@@ -2,30 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_production_piecewise_linear_eqs!
|
|
||||||
|
|
||||||
Ensure respect of production limits along each segment.
|
|
||||||
Based on Knueven et al. (2018b).
|
|
||||||
Eqns. (43), (44), (46), (48) in Knueven et al. (2020).
|
|
||||||
NB: when reading instance, UnitCommitment.jl already calculates difference between max power for segments k and k-1
|
|
||||||
so the value of cost_segments[k].mw[t] is the max production *for that segment*.
|
|
||||||
|
|
||||||
===
|
|
||||||
Variables
|
|
||||||
* :segprod
|
|
||||||
* :is_on
|
|
||||||
* :switch_on
|
|
||||||
* :switch_off
|
|
||||||
* :prod_above
|
|
||||||
|
|
||||||
===
|
|
||||||
Constraints
|
|
||||||
* :eq_prod_above_def
|
|
||||||
* :eq_segprod_limit_a
|
|
||||||
* :eq_segprod_limit_b
|
|
||||||
* :eq_segprod_limit_c
|
|
||||||
"""
|
|
||||||
function _add_production_piecewise_linear_eqs!(
|
function _add_production_piecewise_linear_eqs!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -81,7 +57,7 @@ function _add_production_piecewise_linear_eqs!(
|
|||||||
end
|
end
|
||||||
|
|
||||||
if g.min_uptime > 1
|
if g.min_uptime > 1
|
||||||
# Equation (46) in Knueven et al. (2020)
|
# Equation (46) in Kneuven et al. (2020)
|
||||||
eq_segprod_limit_a[gn, t, k] = @constraint(
|
eq_segprod_limit_a[gn, t, k] = @constraint(
|
||||||
model,
|
model,
|
||||||
segprod[gn, t, k] <=
|
segprod[gn, t, k] <=
|
||||||
@@ -90,7 +66,7 @@ function _add_production_piecewise_linear_eqs!(
|
|||||||
(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 Knueven et al. (2020)
|
# Equation (47a)/(48a) in Kneuven et al. (2020)
|
||||||
eq_segprod_limit_b[gn, t, k] = @constraint(
|
eq_segprod_limit_b[gn, t, k] = @constraint(
|
||||||
model,
|
model,
|
||||||
segprod[gn, t, k] <=
|
segprod[gn, t, k] <=
|
||||||
@@ -99,7 +75,7 @@ function _add_production_piecewise_linear_eqs!(
|
|||||||
(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 Knueven et al. (2020)
|
# Equation (47b)/(48b) in Kneuven et al. (2020)
|
||||||
eq_segprod_limit_c[gn, t, k] = @constraint(
|
eq_segprod_limit_c[gn, t, k] = @constraint(
|
||||||
model,
|
model,
|
||||||
segprod[gn, t, k] <=
|
segprod[gn, t, k] <=
|
||||||
@@ -110,14 +86,14 @@ function _add_production_piecewise_linear_eqs!(
|
|||||||
end
|
end
|
||||||
|
|
||||||
# Definition of production
|
# Definition of production
|
||||||
# Equation (43) in Knueven et al. (2020)
|
# Equation (43) in Kneuven et al. (2020)
|
||||||
eq_prod_above_def[gn, t] = @constraint(
|
eq_prod_above_def[gn, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
prod_above[gn, t] == sum(segprod[gn, t, k] for k in 1:K)
|
prod_above[gn, t] == sum(segprod[gn, t, k] for k in 1:K)
|
||||||
)
|
)
|
||||||
|
|
||||||
# Objective function
|
# Objective function
|
||||||
# Equation (44) in Knueven 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[gn, t, k],
|
||||||
|
|||||||
@@ -1,123 +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.
|
|
||||||
|
|
||||||
"""
|
|
||||||
_add_startup_cost_eqs!
|
|
||||||
|
|
||||||
Extended formulation of startup costs using indicator variables
|
|
||||||
based on Knueven, Ostrowski, and Watson, 2020
|
|
||||||
--- equations (59), (60), (61).
|
|
||||||
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* switch_on
|
|
||||||
* switch_off
|
|
||||||
* downtime_arc
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* eq_startup_at_t
|
|
||||||
* eq_shutdown_at_t
|
|
||||||
"""
|
|
||||||
function _add_startup_cost_eqs!(
|
|
||||||
model::JuMP.Model,
|
|
||||||
g::Unit,
|
|
||||||
formulation::MorLatRam2013.StartupCosts,
|
|
||||||
)::Nothing
|
|
||||||
S = length(g.startup_categories)
|
|
||||||
if S == 0
|
|
||||||
return
|
|
||||||
end
|
|
||||||
gn = g.name
|
|
||||||
|
|
||||||
_init(model, eq_startup_at_t)
|
|
||||||
_init(model, eq_shutdown_at_t)
|
|
||||||
|
|
||||||
switch_on = model[:switch_on]
|
|
||||||
switch_off = model[:switch_off]
|
|
||||||
downtime_arc = model[:downtime_arc]
|
|
||||||
|
|
||||||
DT = g.min_downtime # minimum time offline
|
|
||||||
TC = g.startup_categories[S].delay # time offline until totally cold
|
|
||||||
|
|
||||||
# If initial_status < 0, then this is the amount of time the generator has been off
|
|
||||||
initial_time_shutdown = (g.initial_status < 0 ? -g.initial_status : 0)
|
|
||||||
|
|
||||||
for t in 1:model[:instance].time
|
|
||||||
# Fix to zero values of downtime_arc outside the feasible time pairs
|
|
||||||
# Specifically, x(t,t') = 0 if t' does not belong to 𝒢 = [t+DT, t+TC-1]
|
|
||||||
# This is because DT is the minimum downtime, so there is no way x(t,t')=1 for t'<t+DT
|
|
||||||
# and TC is the "time until cold" => if the generator starts afterwards, always has max cost
|
|
||||||
#start_time = min(t + DT, T)
|
|
||||||
#end_time = min(t + TC - 1, T)
|
|
||||||
#for tmp_t in t+1:start_time
|
|
||||||
# fix(vars.downtime_arc[gn, t, tmp_t], 0.; force = true)
|
|
||||||
#end
|
|
||||||
#for tmp_t in end_time+1:T
|
|
||||||
# fix(vars.downtime_arc[gn, t, tmp_t], 0.; force = true)
|
|
||||||
#end
|
|
||||||
|
|
||||||
# Equation (59) in Knueven et al. (2020)
|
|
||||||
# Relate downtime_arc with switch_on
|
|
||||||
# "switch_on[g,t] >= x_g(t',t) for all t' \in [t-TC+1, t-DT]"
|
|
||||||
eq_startup_at_t[gn, t] = @constraint(
|
|
||||||
model,
|
|
||||||
switch_on[gn, t] >= sum(
|
|
||||||
downtime_arc[gn, tmp_t, t] for
|
|
||||||
tmp_t in t-TC+1:t-DT if tmp_t >= 1
|
|
||||||
)
|
|
||||||
)
|
|
||||||
|
|
||||||
# Equation (60) in Knueven et al. (2020)
|
|
||||||
# "switch_off[g,t] >= x_g(t,t') for all t' \in [t+DT, t+TC-1]"
|
|
||||||
eqs.shutdown_at_t[gn, t] = @constraint(
|
|
||||||
model,
|
|
||||||
switch_off[gn, t] >= sum(
|
|
||||||
downtime_arc[gn, t, tmp_t] for
|
|
||||||
tmp_t in t+DT:t+TC-1 if tmp_t <= T
|
|
||||||
)
|
|
||||||
)
|
|
||||||
|
|
||||||
# Objective function terms for start-up costs
|
|
||||||
# Equation (61) in Knueven et al. (2020)
|
|
||||||
default_category = S
|
|
||||||
if initial_time_shutdown > 0 && t + initial_time_shutdown - 1 < TC
|
|
||||||
for s in 1:S-1
|
|
||||||
# If off for x periods before, then belongs to category s
|
|
||||||
# if -x+1 in [t-delay[s+1]+1,t-delay[s]]
|
|
||||||
# or, equivalently, if total time off in [delay[s], delay[s+1]-1]
|
|
||||||
# where total time off = t - 1 + initial_time_shutdown
|
|
||||||
# (the -1 because not off for current time period)
|
|
||||||
if t + initial_time_shutdown - 1 <
|
|
||||||
g.startup_categories[s+1].delay
|
|
||||||
default_category = s
|
|
||||||
break # does not go into next category
|
|
||||||
end
|
|
||||||
end
|
|
||||||
end
|
|
||||||
add_to_expression!(
|
|
||||||
model[:obj],
|
|
||||||
switch_on[gn, t],
|
|
||||||
g.startup_categories[default_category].cost,
|
|
||||||
)
|
|
||||||
|
|
||||||
for s in 1:S-1
|
|
||||||
# Objective function terms for start-up costs
|
|
||||||
# Equation (61) in Knueven et al. (2020)
|
|
||||||
# Says to replace the cost of last category with cost of category s
|
|
||||||
start_range = max((t - g.startup_categories[s+1].delay + 1), 1)
|
|
||||||
end_range = min((t - g.startup_categories[s].delay), T - 1)
|
|
||||||
for tmp_t in start_range:end_range
|
|
||||||
if (t < tmp_t + DT) || (t >= tmp_t + TC) # the second clause should never be true for s < S
|
|
||||||
continue
|
|
||||||
end
|
|
||||||
add_to_expression!(
|
|
||||||
model[:obj],
|
|
||||||
downtime_arc[gn, tmp_t, t],
|
|
||||||
g.startup_categories[s].cost - g.startup_categories[S].cost,
|
|
||||||
)
|
|
||||||
end
|
|
||||||
end # iterate over startup categories
|
|
||||||
end # iterate over time
|
|
||||||
end # add_startup_costs_KneOstWat20
|
|
||||||
@@ -2,27 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_ramp_eqs!
|
|
||||||
|
|
||||||
Ensure constraints on ramping are met.
|
|
||||||
Needs to be used in combination with shutdown rate constraints, e.g., (21b) in Knueven et al. (2020).
|
|
||||||
Based on Morales-España, Latorre, and Ramos, 2013.
|
|
||||||
Eqns. (26)+(27) [replaced by (24)+(25) if time-varying min demand] in Knueven et al. (2020).
|
|
||||||
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* :is_on
|
|
||||||
* :switch_off
|
|
||||||
* :switch_on
|
|
||||||
* :prod_above
|
|
||||||
* :reserve
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* :eq_ramp_up
|
|
||||||
* :eq_ramp_down
|
|
||||||
"""
|
|
||||||
function _add_ramp_eqs!(
|
function _add_ramp_eqs!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -36,10 +15,10 @@ function _add_ramp_eqs!(
|
|||||||
RESERVES_WHEN_RAMP_DOWN = true
|
RESERVES_WHEN_RAMP_DOWN = true
|
||||||
RESERVES_WHEN_SHUT_DOWN = true
|
RESERVES_WHEN_SHUT_DOWN = true
|
||||||
is_initially_on = (g.initial_status > 0)
|
is_initially_on = (g.initial_status > 0)
|
||||||
SU = g.startup_limit # startup rate
|
SU = g.startup_limit
|
||||||
SD = g.shutdown_limit # shutdown rate
|
SD = g.shutdown_limit
|
||||||
RU = g.ramp_up_limit # ramp up rate
|
RU = g.ramp_up_limit
|
||||||
RD = g.ramp_down_limit # ramp down rate
|
RD = g.ramp_down_limit
|
||||||
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)
|
||||||
@@ -92,7 +71,7 @@ function _add_ramp_eqs!(
|
|||||||
RU * is_on[gn, t-1] + SU * switch_on[gn, t]
|
RU * is_on[gn, t-1] + SU * switch_on[gn, t]
|
||||||
)
|
)
|
||||||
else
|
else
|
||||||
# Equation (26) in Knueven 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[gn, t] = @constraint(
|
||||||
@@ -136,7 +115,7 @@ function _add_ramp_eqs!(
|
|||||||
RD * is_on[gn, t] + SD * switch_off[gn, t]
|
RD * is_on[gn, t] + SD * switch_off[gn, t]
|
||||||
)
|
)
|
||||||
else
|
else
|
||||||
# Equation (27) in Knueven 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[gn, t] = @constraint(
|
||||||
|
|||||||
@@ -2,56 +2,21 @@
|
|||||||
# 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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_startup_cost_eqs!
|
|
||||||
|
|
||||||
Extended formulation of startup costs using indicator variables
|
|
||||||
based on Muckstadt and Wilson, 1968;
|
|
||||||
this version by Morales-España, Latorre, and Ramos, 2013.
|
|
||||||
Eqns. (54), (55), and (56) in Knueven et al. (2020).
|
|
||||||
Note that the last 'constraint' is actually setting the objective.
|
|
||||||
|
|
||||||
\tstartup[gi,s,t] ≤ sum_{i=s.delay}^{(s+1).delay-1} switch_off[gi,t-i]
|
|
||||||
\tswitch_on[gi,t] = sum_{s=1}^{length(startup_categories)} startup[gi,s,t]
|
|
||||||
\tstartup_cost[gi,t] = sum_{s=1}^{length(startup_categories)} cost_segments[s].cost * startup[gi,s,t]
|
|
||||||
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* startup
|
|
||||||
* switch_on
|
|
||||||
* switch_off
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* eq_startup_choose
|
|
||||||
* eq_startup_restrict
|
|
||||||
"""
|
|
||||||
function _add_startup_cost_eqs!(
|
function _add_startup_cost_eqs!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
formulation::MorLatRam2013.StartupCosts,
|
formulation::MorLatRam2013.StartupCosts,
|
||||||
)::Nothing
|
)::Nothing
|
||||||
S = length(g.startup_categories)
|
|
||||||
if S == 0
|
|
||||||
return
|
|
||||||
end
|
|
||||||
|
|
||||||
# Constraints created
|
|
||||||
eq_startup_choose = _init(model, :eq_startup_choose)
|
eq_startup_choose = _init(model, :eq_startup_choose)
|
||||||
eq_startup_restrict = _init(model, :eq_startup_restrict)
|
eq_startup_restrict = _init(model, :eq_startup_restrict)
|
||||||
|
S = length(g.startup_categories)
|
||||||
# Variables needed
|
|
||||||
startup = model[:startup]
|
startup = model[:startup]
|
||||||
switch_on = model[:switch_on]
|
|
||||||
switch_off = model[:switch_off]
|
|
||||||
|
|
||||||
gn = g.name
|
|
||||||
for t in 1:model[:instance].time
|
for t in 1:model[:instance].time
|
||||||
# If unit is switching on, we must choose a startup category
|
# If unit is switching on, we must choose a startup category
|
||||||
# Equation (55) in Knueven et al. (2020)
|
eq_startup_choose[g.name, t] = @constraint(
|
||||||
eq_startup_choose[gn, t] = @constraint(
|
|
||||||
model,
|
model,
|
||||||
switch_on[gn, t] == sum(startup[gn, t, s] for s in 1:S)
|
model[:switch_on][g.name, t] ==
|
||||||
|
sum(startup[g.name, t, s] for s in 1:S)
|
||||||
)
|
)
|
||||||
|
|
||||||
for s in 1:S
|
for s in 1:S
|
||||||
@@ -61,28 +26,25 @@ function _add_startup_cost_eqs!(
|
|||||||
range_start = t - g.startup_categories[s+1].delay + 1
|
range_start = t - g.startup_categories[s+1].delay + 1
|
||||||
range_end = t - g.startup_categories[s].delay
|
range_end = t - g.startup_categories[s].delay
|
||||||
range = (range_start:range_end)
|
range = (range_start:range_end)
|
||||||
# If initial_status < 0, then this is the amount of time the generator has been off
|
|
||||||
initial_sum = (
|
initial_sum = (
|
||||||
g.initial_status < 0 && (g.initial_status + 1 in range) ? 1.0 : 0.0
|
g.initial_status < 0 && (g.initial_status + 1 in range) ? 1.0 : 0.0
|
||||||
)
|
)
|
||||||
# Change of index version of equation (54) in Knueven et al. (2020):
|
eq_startup_restrict[g.name, t, s] = @constraint(
|
||||||
# startup[gi,s,t] ≤ sum_{i=s.delay}^{(s+1).delay-1} switch_off[gi,t-i]
|
|
||||||
eq_startup_restrict[gn, t, s] = @constraint(
|
|
||||||
model,
|
model,
|
||||||
startup[gn, t, s] <=
|
startup[g.name, t, s] <=
|
||||||
initial_sum +
|
initial_sum + sum(
|
||||||
sum(switch_off[gn, i] for i in range if i >= 1)
|
model[:switch_off][g.name, i] for i in range if i >= 1
|
||||||
)
|
)
|
||||||
end # if s < S (not the last category)
|
)
|
||||||
|
end
|
||||||
|
|
||||||
# Objective function terms for start-up costs
|
# Objective function terms for start-up costs
|
||||||
# Equation (56) in Knueven et al. (2020)
|
|
||||||
add_to_expression!(
|
add_to_expression!(
|
||||||
model[:obj],
|
model[:obj],
|
||||||
startup[gn, t, s],
|
startup[g.name, t, s],
|
||||||
g.startup_categories[s].cost,
|
g.startup_categories[s].cost,
|
||||||
)
|
)
|
||||||
end # iterate over startup categories
|
end
|
||||||
end # iterate over time
|
end
|
||||||
return
|
return
|
||||||
end
|
end
|
||||||
|
|||||||
@@ -1,89 +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.
|
|
||||||
|
|
||||||
"""
|
|
||||||
_add_startup_shutdown_limit_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
|
||||||
|
|
||||||
Startup and shutdown limits from Morales-España et al. (2013a).
|
|
||||||
Eqns. (20), (21a), and (21b) in Knueven et al. (2020).
|
|
||||||
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* :is_on
|
|
||||||
* :prod_above
|
|
||||||
* :reserve
|
|
||||||
* :switch_on
|
|
||||||
* :switch_off
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* :eq_startstop_limit
|
|
||||||
* :eq_startup_limit
|
|
||||||
* :eq_shutdown_limit
|
|
||||||
"""
|
|
||||||
function _add_startup_shutdown_limit_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
|
||||||
# TODO: Move upper case constants to model[:instance]
|
|
||||||
RESERVES_WHEN_START_UP = true
|
|
||||||
RESERVES_WHEN_RAMP_UP = true
|
|
||||||
RESERVES_WHEN_RAMP_DOWN = true
|
|
||||||
RESERVES_WHEN_SHUT_DOWN = true
|
|
||||||
|
|
||||||
eq_startstop_limit = _init(model, :eq_startstop_limit)
|
|
||||||
eq_shutdown_limit = _init(model, :eq_shutdown_limit)
|
|
||||||
eq_startup_limit = _init(model, :eq_startup_limit)
|
|
||||||
|
|
||||||
is_on = model[:is_on]
|
|
||||||
prod_above = model[:prod_above]
|
|
||||||
reserve = model[:reserve]
|
|
||||||
switch_off = model[:switch_off]
|
|
||||||
switch_on = model[:switch_on]
|
|
||||||
|
|
||||||
T = model[:instance].time
|
|
||||||
gi = g.name
|
|
||||||
for t in 1:T
|
|
||||||
## 2020-10-09 amk: added eqn (20) and check of g.min_uptime
|
|
||||||
if g.min_uptime > 1 && t < T
|
|
||||||
# Equation (20) in Knueven et al. (2020)
|
|
||||||
# UT > 1 required, to guarantee that vars.switch_on[gi, t] and vars.switch_off[gi, t+1] are not both = 1 at the same time
|
|
||||||
eq_startstop_limit[gi, t] = @constraint(
|
|
||||||
model,
|
|
||||||
prod_above[gi, t] + reserve[gi, t] <=
|
|
||||||
(g.max_power[t] - g.min_power[t]) * is_on[gi, t] -
|
|
||||||
max(0, g.max_power[t] - g.startup_limit) * switch_on[gi, t] -
|
|
||||||
max(0, g.max_power[t] - g.shutdown_limit) * switch_off[gi, t+1]
|
|
||||||
)
|
|
||||||
else
|
|
||||||
## Startup limits
|
|
||||||
# Equation (21a) in Knueven et al. (2020)
|
|
||||||
# Proposed by Morales-España et al. (2013a)
|
|
||||||
eqs_startup_limit[gi, t] = @constraint(
|
|
||||||
model,
|
|
||||||
prod_above[gi, t] + reserve[gi, t] <=
|
|
||||||
(g.max_power[t] - g.min_power[t]) * is_on[gi, t] -
|
|
||||||
max(0, g.max_power[t] - g.startup_limit) * switch_on[gi, t]
|
|
||||||
)
|
|
||||||
|
|
||||||
## Shutdown limits
|
|
||||||
if t < T
|
|
||||||
# Equation (21b) in Knueven et al. (2020)
|
|
||||||
# TODO different from what was in previous model, due to reserve variable
|
|
||||||
# ax: ideally should have reserve_up and reserve_down variables
|
|
||||||
# i.e., the generator should be able to increase/decrease production as specified
|
|
||||||
# (this is a heuristic for a "robust" solution,
|
|
||||||
# in case there is an outage or a surge, and flow has to be redirected)
|
|
||||||
# amk: if shutdown_limit is the max prod of generator in time period before shutting down,
|
|
||||||
# then it makes sense to count reserves, because otherwise, if reserves ≠ 0,
|
|
||||||
# then the generator will actually produce more than the limit
|
|
||||||
eqs.shutdown_limit[gi, t] = @constraint(
|
|
||||||
model,
|
|
||||||
prod_above[gi, t] +
|
|
||||||
(RESERVES_WHEN_SHUT_DOWN ? reserve[gi, t] : 0.0) <=
|
|
||||||
(g.max_power[t] - g.min_power[t]) * is_on[gi, t] -
|
|
||||||
max(0, g.max_power[t] - g.shutdown_limit) *
|
|
||||||
switch_off[gi, t+1]
|
|
||||||
)
|
|
||||||
end
|
|
||||||
end # check if g.min_uptime > 1
|
|
||||||
end # loop over time
|
|
||||||
end # _add_startup_shutdown_limit_eqs!
|
|
||||||
@@ -1,20 +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.
|
|
||||||
|
|
||||||
"""
|
|
||||||
_add_startup_cost_eqs!
|
|
||||||
|
|
||||||
Based on Nowak and Römisch, 2000.
|
|
||||||
Introduces auxiliary startup cost variable, c_g^SU(t) for each time period,
|
|
||||||
and uses startup status variable, u_g(t);
|
|
||||||
there are exponentially many facets in this space,
|
|
||||||
but there is a linear-time separation algorithm (Brandenburg et al., 2017).
|
|
||||||
"""
|
|
||||||
function _add_startup_cost_eqs!(
|
|
||||||
model::JuMP.Model,
|
|
||||||
g::Unit,
|
|
||||||
formulation::MorLatRam2013.StartupCosts,
|
|
||||||
)::Nothing
|
|
||||||
return error("Not implemented.")
|
|
||||||
end
|
|
||||||
@@ -1,85 +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.
|
|
||||||
|
|
||||||
"""
|
|
||||||
_add_ramp_eqs!
|
|
||||||
|
|
||||||
Ensure constraints on ramping are met.
|
|
||||||
Based on Ostrowski, Anjos, Vannelli (2012).
|
|
||||||
Eqn (37) in Knueven et al. (2020).
|
|
||||||
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* :is_on
|
|
||||||
* :prod_above
|
|
||||||
* :reserve
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* :eq_str_prod_limit
|
|
||||||
"""
|
|
||||||
function _add_ramp_eqs!(
|
|
||||||
model::JuMP.Model,
|
|
||||||
g::Unit,
|
|
||||||
formulation_prod_vars::Gar1962.ProdVars,
|
|
||||||
formulation_ramping::MorLatRam2013.Ramping,
|
|
||||||
formulation_status_vars::Gar1962.StatusVars,
|
|
||||||
)::Nothing
|
|
||||||
# TODO: Move upper case constants to model[:instance]
|
|
||||||
RESERVES_WHEN_START_UP = true
|
|
||||||
RESERVES_WHEN_RAMP_UP = true
|
|
||||||
RESERVES_WHEN_RAMP_DOWN = true
|
|
||||||
RESERVES_WHEN_SHUT_DOWN = true
|
|
||||||
is_initially_on = _is_initially_on(g)
|
|
||||||
|
|
||||||
gn = g.name
|
|
||||||
eq_str_prod_limit = _init(model, :eq_str_prod_limit)
|
|
||||||
|
|
||||||
# Variables that we need
|
|
||||||
reserve = model[:reserve]
|
|
||||||
|
|
||||||
# Gar1962.ProdVars
|
|
||||||
prod_above = model[:prod_above]
|
|
||||||
|
|
||||||
# Gar1962.StatusVars
|
|
||||||
is_on = model[:is_on]
|
|
||||||
switch_off = model[:switch_off]
|
|
||||||
|
|
||||||
# The following are the same for generator g across all time periods
|
|
||||||
UT = g.min_uptime
|
|
||||||
|
|
||||||
SU = g.startup_limit # startup rate
|
|
||||||
SD = g.shutdown_limit # shutdown rate
|
|
||||||
RU = g.ramp_up_limit # ramp up rate
|
|
||||||
RD = g.ramp_down_limit # ramp down rate
|
|
||||||
|
|
||||||
# TODO check initial conditions, but maybe okay as long as (35) and (36) are also used
|
|
||||||
for t in 1:model[:instance].time
|
|
||||||
Pbar = g.max_power[t]
|
|
||||||
|
|
||||||
#TRD = floor((Pbar - SU)/RD)
|
|
||||||
# TODO check amk changed TRD wrt Knueven et al.
|
|
||||||
TRD = ceil((Pbar - SD) / RD) # ramp down time
|
|
||||||
|
|
||||||
if Pbar < 1e-7
|
|
||||||
# Skip this time period if max power = 0
|
|
||||||
continue
|
|
||||||
end
|
|
||||||
|
|
||||||
if UT >= 1
|
|
||||||
# Equation (37) in Knueven et al. (2020)
|
|
||||||
KSD = min(TRD, UT - 1, T - t - 1)
|
|
||||||
eq_str_prod_limit[gn, t] = @constraint(
|
|
||||||
model,
|
|
||||||
prod_above[gn, t] +
|
|
||||||
g.min_power[t] * is_on[gn, t] +
|
|
||||||
(RESERVES_WHEN_RAMP_DOWN ? reserve[gn, t] : 0.0) <=
|
|
||||||
Pbar * is_on[gi, t] - sum(
|
|
||||||
(Pbar - (SD + i * RD)) * switch_off[gi, t+1+i] for
|
|
||||||
i in 0:KSD
|
|
||||||
)
|
|
||||||
)
|
|
||||||
end # check UT >= 1
|
|
||||||
end # loop over time
|
|
||||||
end
|
|
||||||
@@ -2,28 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_ramp_eqs!
|
|
||||||
|
|
||||||
Add tighter upper bounds on production based on ramp-down trajectory.
|
|
||||||
Based on (28) in Pan and Guan (2016).
|
|
||||||
But there is an extra time period covered using (40) of Knueven et al. (2020).
|
|
||||||
Eqns. (38), (40), (41) in Knueven et al. (2020).
|
|
||||||
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* :prod_above
|
|
||||||
* :reserve
|
|
||||||
* :is_on
|
|
||||||
* :switch_on
|
|
||||||
* :switch_off
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* :str_prod_limit
|
|
||||||
* :prod_limit_ramp_up_extra_period
|
|
||||||
* :prod_limit_shutdown_trajectory
|
|
||||||
"""
|
|
||||||
function _add_ramp_eqs!(
|
function _add_ramp_eqs!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -63,14 +41,14 @@ function _add_ramp_eqs!(
|
|||||||
end
|
end
|
||||||
|
|
||||||
#TRD = floor((Pbar - SU) / RD) # ramp down time
|
#TRD = floor((Pbar - SU) / RD) # ramp down time
|
||||||
# TODO check amk changed TRD wrt Knueven et al.
|
# TODO check amk changed TRD wrt Kneuven et al.
|
||||||
TRD = ceil((Pbar - SD) / RD) # ramp down time
|
TRD = ceil((Pbar - SD) / RD) # ramp down time
|
||||||
TRU = floor((Pbar - SU) / RU) # ramp up time, can be negative if Pbar < SU
|
TRU = floor((Pbar - SU) / RU) # ramp up time, can be negative if Pbar < SU
|
||||||
|
|
||||||
# TODO check initial time periods: what if generator has been running for x periods?
|
# TODO check initial time periods: what if generator has been running for x periods?
|
||||||
# But maybe ok as long as (35) and (36) are also used...
|
# But maybe ok as long as (35) and (36) are also used...
|
||||||
if UT > 1
|
if UT > 1
|
||||||
# Equation (38) in Knueven et al. (2020)
|
# Equation (38) in Kneuven et al. (2020)
|
||||||
# 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
|
||||||
@@ -87,7 +65,7 @@ function _add_ramp_eqs!(
|
|||||||
)
|
)
|
||||||
|
|
||||||
if UT - 2 < TRU
|
if UT - 2 < TRU
|
||||||
# Equation (40) in Knueven 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[gn, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
@@ -105,7 +83,7 @@ function _add_ramp_eqs!(
|
|||||||
KSD = min(TRD, UT - 1, T - t - 1)
|
KSD = min(TRD, UT - 1, T - t - 1)
|
||||||
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 Knueven et al. (2020)
|
# Equation (41) in Kneuven et al. (2020)
|
||||||
eq_prod_limit_shutdown_trajectory[gn, t] = @constraint(
|
eq_prod_limit_shutdown_trajectory[gn, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
prod_above[gn, t] +
|
prod_above[gn, t] +
|
||||||
|
|||||||
@@ -2,11 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_bus!(model::JuMP.Model, b::Bus)::Nothing
|
|
||||||
|
|
||||||
Creates `expr_net_injection` and adds `curtail` variable to `model`.
|
|
||||||
"""
|
|
||||||
function _add_bus!(model::JuMP.Model, b::Bus)::Nothing
|
function _add_bus!(model::JuMP.Model, b::Bus)::Nothing
|
||||||
net_injection = _init(model, :expr_net_injection)
|
net_injection = _init(model, :expr_net_injection)
|
||||||
curtail = _init(model, :curtail)
|
curtail = _init(model, :curtail)
|
||||||
|
|||||||
@@ -2,9 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_price_sensitive_load!(model::JuMP.Model, ps::PriceSensitiveLoad)
|
|
||||||
"""
|
|
||||||
function _add_price_sensitive_load!(
|
function _add_price_sensitive_load!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
ps::PriceSensitiveLoad,
|
ps::PriceSensitiveLoad,
|
||||||
|
|||||||
@@ -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(buses = buses, lines = lines)
|
incidence = _reduced_incidence_matrix(lines = lines, buses = buses)
|
||||||
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
|
||||||
|
|||||||
@@ -9,15 +9,6 @@ abstract type StartupCostsFormulation end
|
|||||||
abstract type StatusVarsFormulation end
|
abstract type StatusVarsFormulation end
|
||||||
abstract type ProductionVarsFormulation end
|
abstract type ProductionVarsFormulation end
|
||||||
|
|
||||||
"""
|
|
||||||
struct Formulation
|
|
||||||
|
|
||||||
Every formulation has to specify components for setting production variables and limits,
|
|
||||||
startup costs and piecewise-linear costs, ramping variables and constraints,
|
|
||||||
status variables (on/off, starting up, shutting down), and transmission constraints.
|
|
||||||
|
|
||||||
Some of these components are allowed to be empty, as long as overall validity of the formulation is maintained.
|
|
||||||
"""
|
|
||||||
struct Formulation
|
struct Formulation
|
||||||
prod_vars::ProductionVarsFormulation
|
prod_vars::ProductionVarsFormulation
|
||||||
pwl_costs::PiecewiseLinearCostsFormulation
|
pwl_costs::PiecewiseLinearCostsFormulation
|
||||||
|
|||||||
@@ -2,32 +2,12 @@
|
|||||||
# 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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_system_wide_eqs!(model::JuMP.Model)::Nothing
|
|
||||||
|
|
||||||
Adds constraints that apply to the whole system, such as relating to net injection and reserves.
|
|
||||||
"""
|
|
||||||
function _add_system_wide_eqs!(model::JuMP.Model)::Nothing
|
function _add_system_wide_eqs!(model::JuMP.Model)::Nothing
|
||||||
_add_net_injection_eqs!(model)
|
_add_net_injection_eqs!(model)
|
||||||
_add_reserve_eqs!(model)
|
_add_reserve_eqs!(model)
|
||||||
return
|
return
|
||||||
end
|
end
|
||||||
|
|
||||||
"""
|
|
||||||
_add_net_injection_eqs!(model::JuMP.Model)::Nothing
|
|
||||||
|
|
||||||
Adds `net_injection`, `eq_net_injection_def`, and `eq_power_balance` identifiers into `model`.
|
|
||||||
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* `expr_net_injection`
|
|
||||||
* `net_injection`
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* `eq_net_injection_def`
|
|
||||||
* `eq_power_balance`
|
|
||||||
"""
|
|
||||||
function _add_net_injection_eqs!(model::JuMP.Model)::Nothing
|
function _add_net_injection_eqs!(model::JuMP.Model)::Nothing
|
||||||
T = model[:instance].time
|
T = model[:instance].time
|
||||||
net_injection = _init(model, :net_injection)
|
net_injection = _init(model, :net_injection)
|
||||||
@@ -47,30 +27,11 @@ function _add_net_injection_eqs!(model::JuMP.Model)::Nothing
|
|||||||
return
|
return
|
||||||
end
|
end
|
||||||
|
|
||||||
"""
|
|
||||||
_add_reserve_eqs!(model::JuMP.Model)::Nothing
|
|
||||||
|
|
||||||
Ensure constraints on reserves are met.
|
|
||||||
Based on Morales-España et al. (2013a).
|
|
||||||
Eqn. (68) from Knueven et al. (2020).
|
|
||||||
|
|
||||||
Adds `eq_min_reserve` identifier to `model`, and corresponding constraint.
|
|
||||||
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* `reserve`
|
|
||||||
* `reserve_shortfall`
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* `eq_min_reserve`
|
|
||||||
"""
|
|
||||||
function _add_reserve_eqs!(model::JuMP.Model)::Nothing
|
function _add_reserve_eqs!(model::JuMP.Model)::Nothing
|
||||||
instance = model[:instance]
|
|
||||||
eq_min_reserve = _init(model, :eq_min_reserve)
|
eq_min_reserve = _init(model, :eq_min_reserve)
|
||||||
instance = model[:instance]
|
instance = model[:instance]
|
||||||
for t in 1:instance.time
|
for t in 1:instance.time
|
||||||
# Equation (68) in Knueven 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)
|
||||||
|
|||||||
@@ -2,15 +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.
|
||||||
|
|
||||||
"""
|
|
||||||
_add_unit!(model::JuMP.Model, g::Unit, formulation::Formulation)
|
|
||||||
|
|
||||||
Add production, reserve, startup, shutdown, and status variables,
|
|
||||||
and constraints for min uptime/downtime, net injection, production, ramping, startup, shutdown, and status.
|
|
||||||
|
|
||||||
Fix variables if a certain generator _must_ run or if a generator provides spinning reserves.
|
|
||||||
Also, add overflow penalty to objective for each transmission line.
|
|
||||||
"""
|
|
||||||
function _add_unit!(model::JuMP.Model, g::Unit, formulation::Formulation)
|
function _add_unit!(model::JuMP.Model, g::Unit, 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")
|
||||||
@@ -44,42 +35,22 @@ function _add_unit!(model::JuMP.Model, g::Unit, formulation::Formulation)
|
|||||||
formulation.status_vars,
|
formulation.status_vars,
|
||||||
)
|
)
|
||||||
_add_startup_cost_eqs!(model, g, formulation.startup_costs)
|
_add_startup_cost_eqs!(model, g, formulation.startup_costs)
|
||||||
_add_shutdown_cost_eqs!(model, g)
|
_add_startup_shutdown_limit_eqs!(model, g)
|
||||||
_add_startup_shutdown_limit_eqs!(
|
|
||||||
model,
|
|
||||||
g,
|
|
||||||
formulation.status_vars,
|
|
||||||
formulation.prod_vars,
|
|
||||||
)
|
|
||||||
_add_status_eqs!(model, g, formulation.status_vars)
|
_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::Unit)::Float64 = (g.initial_status > 0 ? 1.0 : 0.0)
|
||||||
|
|
||||||
"""
|
function _add_reserve_vars!(model::JuMP.Model, g::Unit)::Nothing
|
||||||
_add_reserve_vars!(model::JuMP.Model, g::Unit)::Nothing
|
|
||||||
|
|
||||||
Add `:reserve` variable to `model`, fixed to zero if no spinning reserves specified.
|
|
||||||
"""
|
|
||||||
function _add_reserve_vars!(
|
|
||||||
model::JuMP.Model,
|
|
||||||
g::Unit,
|
|
||||||
ALWAYS_CREATE_VARS = false,
|
|
||||||
)::Nothing
|
|
||||||
reserve = _init(model, :reserve)
|
reserve = _init(model, :reserve)
|
||||||
reserve_shortfall = _init(model, :reserve_shortfall) # for accounting for shortfall penalty in the objective
|
reserve_shortfall = _init(model, :reserve_shortfall)
|
||||||
for t in 1:model[:instance].time
|
for t in 1:model[:instance].time
|
||||||
if g.provides_spinning_reserves[t]
|
if g.provides_spinning_reserves[t]
|
||||||
reserve[g.name, t] = @variable(model, lower_bound = 0)
|
reserve[g.name, t] = @variable(model, lower_bound = 0)
|
||||||
else
|
|
||||||
if ALWAYS_CREATE_VARS
|
|
||||||
reserve[g.name, t] = @variable(model, lower_bound = 0)
|
|
||||||
fix(reserve[g.name, t], 0.0; force = true)
|
|
||||||
else
|
else
|
||||||
reserve[g.name, t] = 0.0
|
reserve[g.name, t] = 0.0
|
||||||
end
|
end
|
||||||
end
|
|
||||||
reserve_shortfall[t] =
|
reserve_shortfall[t] =
|
||||||
(model[:instance].shortfall_penalty[t] >= 0) ?
|
(model[:instance].shortfall_penalty[t] >= 0) ?
|
||||||
@variable(model, lower_bound = 0) : 0.0
|
@variable(model, lower_bound = 0) : 0.0
|
||||||
@@ -87,19 +58,14 @@ function _add_reserve_vars!(
|
|||||||
return
|
return
|
||||||
end
|
end
|
||||||
|
|
||||||
"""
|
|
||||||
_add_reserve_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
|
||||||
"""
|
|
||||||
function _add_reserve_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
function _add_reserve_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
||||||
# nothing to do here
|
reserve = model[:reserve]
|
||||||
|
for t in 1:model[:instance].time
|
||||||
|
add_to_expression!(expr_reserve[g.bus.name, t], reserve[g.name, t], 1.0)
|
||||||
|
end
|
||||||
return
|
return
|
||||||
end
|
end
|
||||||
|
|
||||||
"""
|
|
||||||
_add_startup_shutdown_vars!(model::JuMP.Model, g::Unit)::Nothing
|
|
||||||
|
|
||||||
Add `startup` to model.
|
|
||||||
"""
|
|
||||||
function _add_startup_shutdown_vars!(model::JuMP.Model, g::Unit)::Nothing
|
function _add_startup_shutdown_vars!(model::JuMP.Model, g::Unit)::Nothing
|
||||||
startup = _init(model, :startup)
|
startup = _init(model, :startup)
|
||||||
for t in 1:model[:instance].time
|
for t in 1:model[:instance].time
|
||||||
@@ -110,31 +76,14 @@ 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
|
||||||
_add_startup_shutdown_limit_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
|
||||||
|
|
||||||
Creates startup/shutdown limit constraints below based on variables `Gar1962.StatusVars`, `prod_above` from `Gar1962.ProdVars`, and `reserve`.
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* :eq_startup_limit
|
|
||||||
* :eq_shutdown_limit
|
|
||||||
"""
|
|
||||||
function _add_startup_shutdown_limit_eqs!(
|
|
||||||
model::JuMP.Model,
|
|
||||||
g::Unit,
|
|
||||||
formulation_status_vars::Gar1962.StatusVars,
|
|
||||||
formulation_prod_vars::Gar1962.ProdVars,
|
|
||||||
)::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]
|
||||||
switch_off = model[:switch_off]
|
|
||||||
switch_on = model[:switch_on]
|
|
||||||
prod_above = model[:prod_above]
|
prod_above = model[:prod_above]
|
||||||
reserve = model[:reserve]
|
reserve = model[:reserve]
|
||||||
|
switch_off = model[:switch_off]
|
||||||
|
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
|
||||||
@@ -146,15 +95,8 @@ function _add_startup_shutdown_limit_eqs!(
|
|||||||
)
|
)
|
||||||
# Shutdown limit
|
# Shutdown limit
|
||||||
if g.initial_power > g.shutdown_limit
|
if g.initial_power > g.shutdown_limit
|
||||||
# TODO check what happens with these variables when exporting the model
|
|
||||||
# Generator producing too much to be turned off in the first time period
|
|
||||||
# (can a binary variable have bounds x = 0?)
|
|
||||||
if formulation_status_vars.fix_vars_via_constraint
|
|
||||||
eq_shutdown_limit[g.name, 0] =
|
eq_shutdown_limit[g.name, 0] =
|
||||||
@constraint(model, model[:switch_off][g.name, 1] <= 0.0)
|
@constraint(model, switch_off[g.name, 1] <= 0)
|
||||||
else
|
|
||||||
fix(model[:switch_off][g.name, 1], 0.0; force = true)
|
|
||||||
end
|
|
||||||
end
|
end
|
||||||
if t < T
|
if t < T
|
||||||
eq_shutdown_limit[g.name, t] = @constraint(
|
eq_shutdown_limit[g.name, t] = @constraint(
|
||||||
@@ -169,32 +111,6 @@ function _add_startup_shutdown_limit_eqs!(
|
|||||||
return
|
return
|
||||||
end
|
end
|
||||||
|
|
||||||
"""
|
|
||||||
_add_shutdown_cost_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
|
||||||
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* `switch_off`
|
|
||||||
"""
|
|
||||||
function _add_shutdown_cost_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
|
||||||
T = model[:instance].time
|
|
||||||
gi = g.name
|
|
||||||
for t in 1:T
|
|
||||||
shutdown_cost = 0.0
|
|
||||||
if shutdown_cost > 1e-7
|
|
||||||
# Equation (62) in Knueven et al. (2020)
|
|
||||||
add_to_expression!(
|
|
||||||
model[:obj],
|
|
||||||
model[:switch_off][gi, t],
|
|
||||||
shutdown_cost,
|
|
||||||
)
|
|
||||||
end
|
|
||||||
end # loop over time
|
|
||||||
end
|
|
||||||
|
|
||||||
"""
|
|
||||||
_add_ramp_eqs!(model, unit, formulation)
|
|
||||||
"""
|
|
||||||
function _add_ramp_eqs!(
|
function _add_ramp_eqs!(
|
||||||
model::JuMP.Model,
|
model::JuMP.Model,
|
||||||
g::Unit,
|
g::Unit,
|
||||||
@@ -241,24 +157,6 @@ function _add_ramp_eqs!(
|
|||||||
end
|
end
|
||||||
end
|
end
|
||||||
|
|
||||||
"""
|
|
||||||
_add_min_uptime_downtime_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
|
||||||
|
|
||||||
Ensure constraints on up/down time are met.
|
|
||||||
Based on Garver (1962), Malkin (2003), and Rajan and Takritti (2005).
|
|
||||||
Eqns. (3), (4), (5) in Knueven et al. (2020).
|
|
||||||
|
|
||||||
Variables
|
|
||||||
---
|
|
||||||
* `is_on`
|
|
||||||
* `switch_off`
|
|
||||||
* `switch_on`
|
|
||||||
|
|
||||||
Constraints
|
|
||||||
---
|
|
||||||
* `eq_min_uptime`
|
|
||||||
* `eq_min_downtime`
|
|
||||||
"""
|
|
||||||
function _add_min_uptime_downtime_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
function _add_min_uptime_downtime_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
||||||
is_on = model[:is_on]
|
is_on = model[:is_on]
|
||||||
switch_off = model[:switch_off]
|
switch_off = model[:switch_off]
|
||||||
@@ -268,24 +166,18 @@ function _add_min_uptime_downtime_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
|||||||
T = model[:instance].time
|
T = model[:instance].time
|
||||||
for t in 1:T
|
for t in 1:T
|
||||||
# Minimum up-time
|
# Minimum up-time
|
||||||
# Equation (4) in Knueven et al. (2020)
|
|
||||||
eq_min_uptime[g.name, t] = @constraint(
|
eq_min_uptime[g.name, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
sum(switch_on[g.name, i] for i in (t-g.min_uptime+1):t if i >= 1) <= is_on[g.name, t]
|
sum(switch_on[g.name, i] for i in (t-g.min_uptime+1):t if i >= 1) <= is_on[g.name, t]
|
||||||
)
|
)
|
||||||
|
|
||||||
# Minimum down-time
|
# Minimum down-time
|
||||||
# Equation (5) in Knueven et al. (2020)
|
|
||||||
eq_min_downtime[g.name, t] = @constraint(
|
eq_min_downtime[g.name, t] = @constraint(
|
||||||
model,
|
model,
|
||||||
sum(
|
sum(
|
||||||
switch_off[g.name, i] for i in (t-g.min_downtime+1):t if i >= 1
|
switch_off[g.name, i] for i in (t-g.min_downtime+1):t if i >= 1
|
||||||
) <= 1 - is_on[g.name, t]
|
) <= 1 - is_on[g.name, t]
|
||||||
)
|
)
|
||||||
|
|
||||||
# Minimum up/down-time for initial periods
|
# Minimum up/down-time for initial periods
|
||||||
# Equations (3a) and (3b) in Knueven et al. (2020)
|
|
||||||
# (using :switch_on and :switch_off instead of :is_on)
|
|
||||||
if t == 1
|
if t == 1
|
||||||
if g.initial_status > 0
|
if g.initial_status > 0
|
||||||
eq_min_uptime[g.name, 0] = @constraint(
|
eq_min_uptime[g.name, 0] = @constraint(
|
||||||
@@ -308,9 +200,6 @@ function _add_min_uptime_downtime_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
|||||||
end
|
end
|
||||||
end
|
end
|
||||||
|
|
||||||
"""
|
|
||||||
_add_net_injection_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
|
||||||
"""
|
|
||||||
function _add_net_injection_eqs!(model::JuMP.Model, g::Unit)::Nothing
|
function _add_net_injection_eqs!(model::JuMP.Model, g::Unit)::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
|
||||||
|
|||||||
@@ -1,53 +0,0 @@
|
|||||||
# 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.
|
|
||||||
|
|
||||||
using Distributions
|
|
||||||
|
|
||||||
function randomize_unit_costs!(
|
|
||||||
instance::UnitCommitmentInstance;
|
|
||||||
distribution = Uniform(0.95, 1.05),
|
|
||||||
)::Nothing
|
|
||||||
for unit in instance.units
|
|
||||||
α = rand(distribution)
|
|
||||||
unit.min_power_cost *= α
|
|
||||||
for k in unit.cost_segments
|
|
||||||
k.cost *= α
|
|
||||||
end
|
|
||||||
for s in unit.startup_categories
|
|
||||||
s.cost *= α
|
|
||||||
end
|
|
||||||
end
|
|
||||||
return
|
|
||||||
end
|
|
||||||
|
|
||||||
function randomize_load_distribution!(
|
|
||||||
instance::UnitCommitmentInstance;
|
|
||||||
distribution = Uniform(0.90, 1.10),
|
|
||||||
)::Nothing
|
|
||||||
α = rand(distribution, length(instance.buses))
|
|
||||||
for t in 1:instance.time
|
|
||||||
total = sum(bus.load[t] for bus in instance.buses)
|
|
||||||
den = sum(
|
|
||||||
bus.load[t] / total * α[i] for
|
|
||||||
(i, bus) in enumerate(instance.buses)
|
|
||||||
)
|
|
||||||
for (i, bus) in enumerate(instance.buses)
|
|
||||||
bus.load[t] *= α[i] / den
|
|
||||||
end
|
|
||||||
end
|
|
||||||
return
|
|
||||||
end
|
|
||||||
|
|
||||||
function randomize_peak_load!(
|
|
||||||
instance::UnitCommitmentInstance;
|
|
||||||
distribution = Uniform(0.925, 1.075),
|
|
||||||
)::Nothing
|
|
||||||
α = rand(distribution)
|
|
||||||
for bus in instance.buses
|
|
||||||
bus.load *= α
|
|
||||||
end
|
|
||||||
return
|
|
||||||
end
|
|
||||||
|
|
||||||
export randomize_unit_costs!, randomize_load_distribution!, randomize_peak_load!
|
|
||||||
209
src/transform/randomize/XavQiuAhm2021.jl
Normal file
209
src/transform/randomize/XavQiuAhm2021.jl
Normal file
@@ -0,0 +1,209 @@
|
|||||||
|
# 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.
|
||||||
|
|
||||||
|
"""
|
||||||
|
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
|
||||||
|
|
||||||
|
using Distributions
|
||||||
|
import ..UnitCommitmentInstance
|
||||||
|
|
||||||
|
"""
|
||||||
|
struct Randomization
|
||||||
|
cost = Uniform(0.95, 1.05)
|
||||||
|
load_profile_mu = [...]
|
||||||
|
load_profile_sigma = [...]
|
||||||
|
load_share = Uniform(0.90, 1.10)
|
||||||
|
peak_load = Uniform(0.6 * 0.925, 0.6 * 1.075)
|
||||||
|
randomize_costs = true
|
||||||
|
randomize_load_profile = true
|
||||||
|
randomize_load_share = true
|
||||||
|
end
|
||||||
|
|
||||||
|
Randomization method that changes: (1) production and startup costs, (2)
|
||||||
|
share of load coming from each bus, (3) peak system load, and (4) temporal
|
||||||
|
load profile, as follows:
|
||||||
|
|
||||||
|
1. **Production and startup costs:**
|
||||||
|
For each unit `u`, the vectors `u.min_power_cost` and `u.cost_segments`
|
||||||
|
are multiplied by a constant `α[u]` sampled from the provided `cost`
|
||||||
|
distribution. If `randomize_costs` is false, skips this step.
|
||||||
|
|
||||||
|
2. **Load share:**
|
||||||
|
For each bus `b` and time `t`, the value `b.load[t]` is multiplied by
|
||||||
|
`(β[b] * b.load[t]) / sum(β[b2] * b2.load[t] for b2 in buses)`, where
|
||||||
|
`β[b]` is sampled from the provided `load_share` distribution. If
|
||||||
|
`randomize_load_share` is false, skips this step.
|
||||||
|
|
||||||
|
3. **Peak system load and temporal load profile:**
|
||||||
|
Sets the peak load to `ρ * C`, where `ρ` is sampled from `peak_load` and `C`
|
||||||
|
is the maximum system capacity, at any time. Also scales the loads of all
|
||||||
|
buses, so that `system_load[t+1]` becomes equal to `system_load[t] * γ[t]`,
|
||||||
|
where `γ[t]` is sampled from `Normal(load_profile_mu[t], load_profile_sigma[t])`.
|
||||||
|
|
||||||
|
The system load for the first time period is set so that the peak load
|
||||||
|
matches `ρ * C`. If `load_profile_sigma` and `load_profile_mu` have fewer
|
||||||
|
elements than `instance.time`, wraps around. If `randomize_load_profile`
|
||||||
|
is false, skips this step.
|
||||||
|
|
||||||
|
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
|
||||||
|
more details, see Section 4.2 of the paper.
|
||||||
|
"""
|
||||||
|
Base.@kwdef struct Randomization
|
||||||
|
cost = Uniform(0.95, 1.05)
|
||||||
|
load_profile_mu::Vector{Float64} = [
|
||||||
|
1.0,
|
||||||
|
0.978,
|
||||||
|
0.98,
|
||||||
|
1.004,
|
||||||
|
1.02,
|
||||||
|
1.078,
|
||||||
|
1.132,
|
||||||
|
1.018,
|
||||||
|
0.999,
|
||||||
|
1.006,
|
||||||
|
0.999,
|
||||||
|
0.987,
|
||||||
|
0.975,
|
||||||
|
0.984,
|
||||||
|
0.995,
|
||||||
|
1.005,
|
||||||
|
1.045,
|
||||||
|
1.106,
|
||||||
|
0.981,
|
||||||
|
0.981,
|
||||||
|
0.978,
|
||||||
|
0.948,
|
||||||
|
0.928,
|
||||||
|
0.953,
|
||||||
|
]
|
||||||
|
load_profile_sigma::Vector{Float64} = [
|
||||||
|
0.0,
|
||||||
|
0.011,
|
||||||
|
0.015,
|
||||||
|
0.01,
|
||||||
|
0.012,
|
||||||
|
0.029,
|
||||||
|
0.055,
|
||||||
|
0.027,
|
||||||
|
0.026,
|
||||||
|
0.023,
|
||||||
|
0.013,
|
||||||
|
0.012,
|
||||||
|
0.014,
|
||||||
|
0.011,
|
||||||
|
0.008,
|
||||||
|
0.008,
|
||||||
|
0.02,
|
||||||
|
0.02,
|
||||||
|
0.016,
|
||||||
|
0.012,
|
||||||
|
0.014,
|
||||||
|
0.015,
|
||||||
|
0.017,
|
||||||
|
0.024,
|
||||||
|
]
|
||||||
|
load_share = Uniform(0.90, 1.10)
|
||||||
|
peak_load = Uniform(0.6 * 0.925, 0.6 * 1.075)
|
||||||
|
randomize_load_profile::Bool = true
|
||||||
|
randomize_costs::Bool = true
|
||||||
|
randomize_load_share::Bool = true
|
||||||
|
end
|
||||||
|
|
||||||
|
function _randomize_costs(
|
||||||
|
instance::UnitCommitmentInstance,
|
||||||
|
distribution,
|
||||||
|
)::Nothing
|
||||||
|
for unit in instance.units
|
||||||
|
α = rand(distribution)
|
||||||
|
unit.min_power_cost *= α
|
||||||
|
for k in unit.cost_segments
|
||||||
|
k.cost *= α
|
||||||
|
end
|
||||||
|
for s in unit.startup_categories
|
||||||
|
s.cost *= α
|
||||||
|
end
|
||||||
|
end
|
||||||
|
return
|
||||||
|
end
|
||||||
|
|
||||||
|
function _randomize_load_share(
|
||||||
|
instance::UnitCommitmentInstance,
|
||||||
|
distribution,
|
||||||
|
)::Nothing
|
||||||
|
α = rand(distribution, length(instance.buses))
|
||||||
|
for t in 1:instance.time
|
||||||
|
total = sum(bus.load[t] for bus in instance.buses)
|
||||||
|
den = sum(
|
||||||
|
bus.load[t] / total * α[i] for
|
||||||
|
(i, bus) in enumerate(instance.buses)
|
||||||
|
)
|
||||||
|
for (i, bus) in enumerate(instance.buses)
|
||||||
|
bus.load[t] *= α[i] / den
|
||||||
|
end
|
||||||
|
end
|
||||||
|
return
|
||||||
|
end
|
||||||
|
|
||||||
|
function _randomize_load_profile(
|
||||||
|
instance::UnitCommitmentInstance,
|
||||||
|
params::Randomization,
|
||||||
|
)::Nothing
|
||||||
|
# Generate new system load
|
||||||
|
system_load = [1.0]
|
||||||
|
for t in 2:instance.time
|
||||||
|
idx = (t - 1) % length(params.load_profile_mu) + 1
|
||||||
|
gamma = rand(
|
||||||
|
Normal(params.load_profile_mu[idx], params.load_profile_sigma[idx]),
|
||||||
|
)
|
||||||
|
push!(system_load, system_load[t-1] * gamma)
|
||||||
|
end
|
||||||
|
capacity = sum(maximum(u.max_power) for u in instance.units)
|
||||||
|
peak_load = rand(params.peak_load) * capacity
|
||||||
|
system_load = system_load ./ maximum(system_load) .* peak_load
|
||||||
|
|
||||||
|
# Scale bus loads to match the new system load
|
||||||
|
prev_system_load = sum(b.load for b in instance.buses)
|
||||||
|
for b in instance.buses
|
||||||
|
for t in 1:instance.time
|
||||||
|
b.load[t] *= system_load[t] / prev_system_load[t]
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
return
|
||||||
|
end
|
||||||
|
|
||||||
|
end
|
||||||
|
|
||||||
|
"""
|
||||||
|
function randomize!(
|
||||||
|
instance::UnitCommitment.UnitCommitmentInstance,
|
||||||
|
method::XavQiuAhm2021.Randomization,
|
||||||
|
)::Nothing
|
||||||
|
|
||||||
|
Randomize costs and loads based on the method described in XavQiuAhm2021.
|
||||||
|
"""
|
||||||
|
function randomize!(
|
||||||
|
instance::UnitCommitment.UnitCommitmentInstance,
|
||||||
|
method::XavQiuAhm2021.Randomization,
|
||||||
|
)::Nothing
|
||||||
|
if method.randomize_costs
|
||||||
|
XavQiuAhm2021._randomize_costs(instance, method.cost)
|
||||||
|
end
|
||||||
|
if method.randomize_load_share
|
||||||
|
XavQiuAhm2021._randomize_load_share(instance, method.load_share)
|
||||||
|
end
|
||||||
|
if method.randomize_load_profile
|
||||||
|
XavQiuAhm2021._randomize_load_profile(instance, method)
|
||||||
|
end
|
||||||
|
return
|
||||||
|
end
|
||||||
|
|
||||||
|
export randomize!
|
||||||
@@ -3,26 +3,31 @@
|
|||||||
# Released under the modified BSD license. See COPYING.md for more details.
|
# Released under the modified BSD license. See COPYING.md for more details.
|
||||||
|
|
||||||
using PackageCompiler
|
using PackageCompiler
|
||||||
|
using TOML
|
||||||
|
using Logging
|
||||||
|
|
||||||
using DataStructures
|
Logging.disable_logging(Logging.Info)
|
||||||
using Distributions
|
mkpath("build")
|
||||||
using JSON
|
|
||||||
using JuMP
|
|
||||||
using MathOptInterface
|
|
||||||
using SparseArrays
|
|
||||||
|
|
||||||
pkg = [
|
println("Generating precompilation statements...")
|
||||||
:DataStructures,
|
run(`julia --project=. --trace-compile=build/precompile.jl $(ARGS)`)
|
||||||
:Distributions,
|
|
||||||
:JSON,
|
|
||||||
:JuMP,
|
|
||||||
:MathOptInterface,
|
|
||||||
:SparseArrays,
|
|
||||||
]
|
|
||||||
|
|
||||||
@info "Building system image..."
|
println("Finding dependencies...")
|
||||||
|
project = TOML.parsefile("Project.toml")
|
||||||
|
manifest = TOML.parsefile("Manifest.toml")
|
||||||
|
deps = Symbol[]
|
||||||
|
for dep in keys(project["deps"])
|
||||||
|
if "path" in keys(manifest[dep][1])
|
||||||
|
println(" - $(dep) [skip]")
|
||||||
|
else
|
||||||
|
println(" - $(dep)")
|
||||||
|
push!(deps, Symbol(dep))
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
println("Building system image...")
|
||||||
create_sysimage(
|
create_sysimage(
|
||||||
pkg,
|
deps,
|
||||||
precompile_statements_file = "build/precompile.jl",
|
precompile_statements_file = "build/precompile.jl",
|
||||||
sysimage_path = "build/sysimage.so",
|
sysimage_path = "build/sysimage.so",
|
||||||
)
|
)
|
||||||
|
|||||||
26
test/Project.toml
Normal file
26
test/Project.toml
Normal file
@@ -0,0 +1,26 @@
|
|||||||
|
[deps]
|
||||||
|
Cbc = "9961bab8-2fa3-5c5a-9d89-47fab24efd76"
|
||||||
|
DataStructures = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
|
||||||
|
Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
|
||||||
|
GZip = "92fee26a-97fe-5a0c-ad85-20a5f3185b63"
|
||||||
|
Gurobi = "2e9cd046-0924-5485-92f1-d5272153d98b"
|
||||||
|
JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
|
||||||
|
JuMP = "4076af6c-e467-56ae-b986-b466b2749572"
|
||||||
|
LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
|
||||||
|
Logging = "56ddb016-857b-54e1-b83d-db4d58db5568"
|
||||||
|
MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
|
||||||
|
PackageCompiler = "9b87118b-4619-50d2-8e1e-99f35a4d4d9d"
|
||||||
|
Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7"
|
||||||
|
Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
|
||||||
|
SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
|
||||||
|
Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
|
||||||
|
|
||||||
|
[compat]
|
||||||
|
DataStructures = "0.18"
|
||||||
|
Distributions = "0.25"
|
||||||
|
GZip = "0.5"
|
||||||
|
JSON = "0.21"
|
||||||
|
JuMP = "0.21"
|
||||||
|
MathOptInterface = "0.9"
|
||||||
|
PackageCompiler = "1"
|
||||||
|
julia = "1"
|
||||||
@@ -4,9 +4,12 @@
|
|||||||
|
|
||||||
using UnitCommitment
|
using UnitCommitment
|
||||||
|
|
||||||
|
basedir = @__DIR__
|
||||||
|
|
||||||
@testset "read_egret_solution" begin
|
@testset "read_egret_solution" begin
|
||||||
solution =
|
solution = UnitCommitment.read_egret_solution(
|
||||||
UnitCommitment.read_egret_solution("fixtures/egret_output.json.gz")
|
"$basedir/../fixtures/egret_output.json.gz",
|
||||||
|
)
|
||||||
for attr in ["Is on", "Production (MW)", "Production cost (\$)"]
|
for attr in ["Is on", "Production (MW)", "Production cost (\$)"]
|
||||||
@test attr in keys(solution)
|
@test attr in keys(solution)
|
||||||
@test "115_STEAM_1" in keys(solution[attr])
|
@test "115_STEAM_1" in keys(solution[attr])
|
||||||
|
|||||||
@@ -22,6 +22,7 @@ using UnitCommitment, LinearAlgebra, Cbc, JuMP, JSON, GZip
|
|||||||
@test instance.lines[5].normal_flow_limit == [1e8 for t in 1:4]
|
@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].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[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].name == "l1"
|
||||||
@test instance.lines[1].source.name == "b1"
|
@test instance.lines[1].source.name == "b1"
|
||||||
@@ -34,6 +35,7 @@ using UnitCommitment, LinearAlgebra, Cbc, JuMP, JSON, GZip
|
|||||||
|
|
||||||
@test instance.buses[9].name == "b9"
|
@test instance.buses[9].name == "b9"
|
||||||
@test instance.buses[9].load == [35.36638, 33.25495, 31.67138, 31.14353]
|
@test instance.buses[9].load == [35.36638, 33.25495, 31.67138, 31.14353]
|
||||||
|
@test instance.buses_by_name["b9"].name == "b9"
|
||||||
|
|
||||||
unit = instance.units[1]
|
unit = instance.units[1]
|
||||||
@test unit.name == "g1"
|
@test unit.name == "g1"
|
||||||
@@ -62,6 +64,7 @@ using UnitCommitment, LinearAlgebra, Cbc, JuMP, JSON, GZip
|
|||||||
@test unit.startup_categories[1].cost == 1000.0
|
@test unit.startup_categories[1].cost == 1000.0
|
||||||
@test unit.startup_categories[2].cost == 1500.0
|
@test unit.startup_categories[2].cost == 1500.0
|
||||||
@test unit.startup_categories[3].cost == 2000.0
|
@test unit.startup_categories[3].cost == 2000.0
|
||||||
|
@test instance.units_by_name["g1"].name == "g1"
|
||||||
|
|
||||||
unit = instance.units[2]
|
unit = instance.units[2]
|
||||||
@test unit.name == "g2"
|
@test unit.name == "g2"
|
||||||
@@ -92,12 +95,15 @@ using UnitCommitment, LinearAlgebra, Cbc, JuMP, JSON, GZip
|
|||||||
|
|
||||||
@test instance.contingencies[1].lines == [instance.lines[1]]
|
@test instance.contingencies[1].lines == [instance.lines[1]]
|
||||||
@test instance.contingencies[1].units == []
|
@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]
|
load = instance.price_sensitive_loads[1]
|
||||||
@test load.name == "ps1"
|
@test load.name == "ps1"
|
||||||
@test load.bus.name == "b3"
|
@test load.bus.name == "b3"
|
||||||
@test load.revenue == [100.0 for t in 1:4]
|
@test load.revenue == [100.0 for t in 1:4]
|
||||||
@test load.demand == [50.0 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
|
end
|
||||||
|
|
||||||
@testset "read_benchmark sub-hourly" begin
|
@testset "read_benchmark sub-hourly" begin
|
||||||
|
|||||||
@@ -5,6 +5,7 @@
|
|||||||
using Test
|
using Test
|
||||||
using UnitCommitment
|
using UnitCommitment
|
||||||
|
|
||||||
|
push!(Base.LOAD_PATH, @__DIR__)
|
||||||
UnitCommitment._setup_logger()
|
UnitCommitment._setup_logger()
|
||||||
|
|
||||||
const ENABLE_LARGE_TESTS = ("UCJL_LARGE_TESTS" in keys(ENV))
|
const ENABLE_LARGE_TESTS = ("UCJL_LARGE_TESTS" in keys(ENV))
|
||||||
@@ -28,7 +29,9 @@ const ENABLE_LARGE_TESTS = ("UCJL_LARGE_TESTS" in keys(ENV))
|
|||||||
@testset "transform" begin
|
@testset "transform" begin
|
||||||
include("transform/initcond_test.jl")
|
include("transform/initcond_test.jl")
|
||||||
include("transform/slice_test.jl")
|
include("transform/slice_test.jl")
|
||||||
include("transform/randomize_test.jl")
|
@testset "randomize" begin
|
||||||
|
include("transform/randomize/XavQiuAhm2021_test.jl")
|
||||||
|
end
|
||||||
end
|
end
|
||||||
@testset "validation" begin
|
@testset "validation" begin
|
||||||
include("validation/repair_test.jl")
|
include("validation/repair_test.jl")
|
||||||
|
|||||||
@@ -4,9 +4,12 @@
|
|||||||
|
|
||||||
using UnitCommitment, Cbc, JuMP
|
using UnitCommitment, Cbc, JuMP
|
||||||
|
|
||||||
|
basedir = @__DIR__
|
||||||
|
|
||||||
@testset "generate_initial_conditions!" begin
|
@testset "generate_initial_conditions!" begin
|
||||||
# Load instance
|
# Load instance
|
||||||
instance = UnitCommitment.read("$(pwd())/fixtures/case118-initcond.json.gz")
|
instance =
|
||||||
|
UnitCommitment.read("$basedir/../fixtures/case118-initcond.json.gz")
|
||||||
optimizer = optimizer_with_attributes(Cbc.Optimizer, "logLevel" => 0)
|
optimizer = optimizer_with_attributes(Cbc.Optimizer, "logLevel" => 0)
|
||||||
|
|
||||||
# All units should have unknown initial conditions
|
# All units should have unknown initial conditions
|
||||||
|
|||||||
63
test/transform/randomize/XavQiuAhm2021_test.jl
Normal file
63
test/transform/randomize/XavQiuAhm2021_test.jl
Normal file
@@ -0,0 +1,63 @@
|
|||||||
|
# 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 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)
|
||||||
|
|
||||||
|
Random.seed!(42)
|
||||||
|
randomize!(
|
||||||
|
instance,
|
||||||
|
XavQiuAhm2021.Randomization(randomize_load_profile = false),
|
||||||
|
)
|
||||||
|
|
||||||
|
# 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]
|
||||||
|
|
||||||
|
Random.seed!(42)
|
||||||
|
randomize!(instance, XavQiuAhm2021.Randomization())
|
||||||
|
|
||||||
|
# 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
|
||||||
@@ -1,43 +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
|
|
||||||
|
|
||||||
_get_instance() = UnitCommitment.read_benchmark("matpower/case118/2017-02-01")
|
|
||||||
_total_load(instance) = sum(b.load[1] for b in instance.buses)
|
|
||||||
|
|
||||||
@testset "randomize_unit_costs!" begin
|
|
||||||
instance = _get_instance()
|
|
||||||
unit = instance.units[10]
|
|
||||||
prev_min_power_cost = unit.min_power_cost
|
|
||||||
prev_prod_cost = unit.cost_segments[1].cost
|
|
||||||
prev_startup_cost = unit.startup_categories[1].cost
|
|
||||||
randomize_unit_costs!(instance)
|
|
||||||
@test prev_min_power_cost != unit.min_power_cost
|
|
||||||
@test prev_prod_cost != unit.cost_segments[1].cost
|
|
||||||
@test prev_startup_cost != unit.startup_categories[1].cost
|
|
||||||
end
|
|
||||||
|
|
||||||
@testset "randomize_load_distribution!" begin
|
|
||||||
instance = _get_instance()
|
|
||||||
bus = instance.buses[1]
|
|
||||||
prev_load = instance.buses[1].load[1]
|
|
||||||
prev_total_load = _total_load(instance)
|
|
||||||
randomize_load_distribution!(instance)
|
|
||||||
curr_total_load = _total_load(instance)
|
|
||||||
@test prev_load != instance.buses[1].load[1]
|
|
||||||
@test abs(prev_total_load - curr_total_load) < 1e-3
|
|
||||||
end
|
|
||||||
|
|
||||||
@testset "randomize_peak_load!" begin
|
|
||||||
instance = _get_instance()
|
|
||||||
bus = instance.buses[1]
|
|
||||||
prev_total_load = _total_load(instance)
|
|
||||||
prev_share = bus.load[1] / prev_total_load
|
|
||||||
randomize_peak_load!(instance)
|
|
||||||
curr_total_load = _total_load(instance)
|
|
||||||
curr_share = bus.load[1] / prev_total_load
|
|
||||||
@test curr_total_load != prev_total_load
|
|
||||||
@test abs(curr_share - prev_share) < 1e-3
|
|
||||||
end
|
|
||||||
@@ -4,9 +4,11 @@
|
|||||||
|
|
||||||
using UnitCommitment, JSON, GZip, DataStructures
|
using UnitCommitment, JSON, GZip, DataStructures
|
||||||
|
|
||||||
|
basedir = @__DIR__
|
||||||
|
|
||||||
function parse_case14()
|
function parse_case14()
|
||||||
return JSON.parse(
|
return JSON.parse(
|
||||||
GZip.gzopen("../instances/test/case14.json.gz"),
|
GZip.gzopen("$basedir/../../instances/test/case14.json.gz"),
|
||||||
dicttype = () -> DefaultOrderedDict(nothing),
|
dicttype = () -> DefaultOrderedDict(nothing),
|
||||||
)
|
)
|
||||||
end
|
end
|
||||||
|
|||||||
Reference in New Issue
Block a user