Updated the docs

docs/src/format.md

@@ -70,11 +70,14 @@ This section describes the characteristics of each bus in the system.
 
 ### Generators
 
-This section describes all generators in the system, including thermal units, renewable units and virtual units.
+This section describes all generators in the system, including thermal units, renewable units and virtual units. Two types of generators can be specified - thermal units and profiled units. A thermal unit consists of different fields, while a profiled unit is a simple generator with only a production capacity and a per-unit cost. 
+
+#### Thermal Units
 
 | Key                       | Description                                      | Default | Time series?
 | :------------------------ | :------------------------------------------------| ------- | :-----------:
 | `Bus`                     | Identifier of the bus where this generator is located (string). | Required | N
+| `Type`                     | Type of the generator (string). For thermal generators, this must be `Thermal`.  | Required | N
 | `Production cost curve (MW)` and `Production cost curve ($)` | Parameters describing the piecewise-linear production costs. See below for more details. | Required | Y
 | `Startup costs ($)` and `Startup delays (h)` | Parameters describing how much it costs to start the generator after it has been shut down for a certain amount of time. If `Startup costs ($)` and `Startup delays (h)` are set to `[300.0, 400.0]` and `[1, 4]`, for example, and the generator is shut down at time `00:00` (h:min), then it costs \$300 to start up the generator at any time between `01:00` and `03:59`, and \$400 to start the generator at time `04:00` or any time after that.  The number of startup cost points is unlimited, and may be different for each generator. Startup delays must be strictly increasing and the first entry must equal `Minimum downtime (h)`. | `[0.0]` and `[1]` | N
 | `Minimum uptime (h)`      | Minimum amount of time the generator must stay operational after starting up (in hours). For example, if the generator starts up at time `00:00` (h:min) and `Minimum uptime (h)` is set to 4, then the generator can only shut down at time `04:00`. | `1` | N
@@ -88,6 +91,15 @@ This section describes all generators in the system, including thermal units, re
 | `Must run?`               | If `true`, the generator should be committed, even if that is not economical (Boolean). | `false` | Y
 | `Reserve eligibility` | List of reserve products this generator is eligibe to provide. By default, the generator is not eligible to provide any reserves. | `[]` | N
 
+#### Profiled Units
+
+| Key               | Description                                       | Default  | Time series?
+| :---------------- | :------------------------------------------------ | :------: | :------------:
+| `Bus`             | Identifier of the bus where this generator is located (string). | Required | N
+| `Type`            | Type of the generator (string). For profiled generators, this must be `Profiled`.  | Required | N
+| `Cost ($/MW)`     | Cost incurred for serving each MW of power by this generator. | Required | Y
+| `Maximum Capacity (MW)` | Maximum amount of power to be supplied by this generator. Any amount lower than this may be supplied. | Required | Y
+
 #### Production costs and limits
 
 Production costs are represented as piecewise-linear curves. Figure 1 shows an example cost curve with three segments, where it costs \$1400, \$1600, \$2200 and \$2400 to generate, respectively, 100, 110, 130 and 135 MW of power. To model this generator, `Production cost curve (MW)` should be set to `[100, 110, 130, 135]`, and `Production cost curve ($)`  should be set to `[1400, 1600, 2200, 2400]`.
@@ -115,6 +127,7 @@ Note that this curve also specifies the production limits. Specifically, the fir
     "Generators": {
         "gen1": {
             "Bus": "b1",
+            "Type": "Thermal",
             "Production cost curve (MW)": [100.0, 110.0, 130.0, 135.0],
             "Production cost curve ($)": [1400.0, 1600.0, 2200.0, 2400.0],
             "Startup costs ($)": [300.0, 400.0],
@@ -132,11 +145,18 @@ Note that this curve also specifies the production limits. Specifically, the fir
         },
         "gen2": {
             "Bus": "b5",
+            "Type": "Thermal",
             "Production cost curve (MW)": [0.0, [10.0, 8.0, 0.0, 3.0]],
             "Production cost curve ($)": [0.0, 0.0],
             "Initial status (h)": -100,
             "Initial power (MW)": 0,
             "Reserve eligibility": ["r1", "r2"]
+        },
+        "gen3": {
+            "Bus": "b6",
+            "Type": "Profiled",
+            "Maximum power (MW)": 120.0,
+            "Cost ($/MW)": 100.0
         }
     }
 }

docs/src/model.md

@@ -8,6 +8,8 @@ Decision variables
 
 ### Generators
 
+#### Thermal Units
+
 Name | Symbol | Description | Unit
 :-----|:--------:|:-------------|:------:
 `is_on[g,t]` | $u_{g}(t)$ | True if generator `g` is on at time `t`. | Binary
@@ -19,6 +21,13 @@ Name | Symbol | Description | Unit
 `startup[g,t,s]` | $\delta^s_g(t)$ | True if generator `g` switches on at time `t` incurring start-up costs from start-up category `s`. | Binary
 
 
+#### Profiled Units
+
+Name | Symbol | Description | Unit
+:-----|:------:|:-------------|:------:
+`prod_profiled[s,t]` | $p^{\dagger}_{g}(t)$ | Amount of power produced by profiled unit `g` at time `t`. | MW
+
+
 ### Buses
 
 Name | Symbol | Description | Unit

docs/src/usage.md

@@ -189,7 +189,7 @@ This method has two configurable parameters: `allow_offline_participation` and `
 
 !!! warning
 
-    This approximation method is still under active research, and has several limitations. The implementation provided in the package is based on MISO Phase I only. It only supports fast start resources. More specifically, the minimum up/down time of all generators must be 1, the initial power of all generators must be 0, and the initial status of all generators must be negative. The method does not support time-varying start-up costs. If offline participation is not allowed, AELMPs treats an asset to be  offline if it is never on throughout all time periods. 
+    This approximation method is still under active research, and has several limitations. The implementation provided in the package is based on MISO Phase I only. It only supports fast start resources. More specifically, the minimum up/down time of all generators must be 1, the initial power of all generators must be 0, and the initial status of all generators must be negative. The method does not support time-varying start-up costs. The method does not support multiple scenarios. If offline participation is not allowed, AELMPs treats an asset to be  offline if it is never on throughout all time periods. 
 
 ```julia
 using UnitCommitment