Notebooks/05-Unit-Commitment.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Unit Commitment\n",
    "\n",
    "_**[Power Systems Optimization](https://github.com/east-winds/power-systems-optimization)**_\n",
    "\n",
    "_by Michael R. Davidson and Jesse D. Jenkins (last updated: August 31, 2021)_\n",
    "\n",
    "This notebook will build on the economic dispatch (ED) model by introducing binary startup (called \"commitment\") decisions, constraints, and costs of thermal generators. Similar to ED, it minimizes the short-run production costs of meeting electricity demand, but these additions are necessary for operating systems with large amounts of (inflexible) thermal generation. They also entail significant computational trade-offs.\n",
    "\n",
    "****\n",
    "\n",
    "We build up the model in several stages. We first start with the simplest model that incorporates unit commitment decisions in order to understand the logic of three-variable commitment formulations.\n",
    "\n",
    "Next, we introduce moderate complexity through the addition of ramp constraints&mdash;which we need to be modified from the ED to account for startups and shutdowns.\n",
    "\n",
    "Finally, we model a more realistic unit commitment that includes reserves&mdash;an important feature of day-ahead scheduling in power systems."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction to unit commitment\n",
    "\n",
    "Engineering considerations severely limit the possible output ranges of power plants. System operators need to be aware of these limitations when scheduling generation to meet demand. Thermal power plants, in particular, due to their complex designs, thermodynamic cycles, and material properties, can be particularly challenging. In practice, due to the times involved in bringing these power plants online, much of this scheduling is done day-ahead, which gives rise to the need for a day-ahead market.\n",
    "\n",
    "**Unit commitment** (UC) is the problem of minimizing short-run costs of production inclusive of production and startup costs, in order to meet a given demand and considering relevant engineering constraints of the generators. It is built on the ED model in that it typically considers all of the same variables in addition to the new startup-related variables and constraints&mdash;hence, it is also sometimes called unit commitment and economic dispatch (UCED). This notebook, for simplicity, only considers a single-bus case, while typical formulations usually include a simplified network representation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple unit commitment\n",
    "\n",
    "We start with the simplest case that incorporates unit commitment, building on the `economic_dispatch_multi` problem of the [Economic Dispatch notebook](04-Economic-Dispatch.ipynb).\n",
    "\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "\\min \\ & \\sum_{g \\in G, t \\in T} VarCost_g \\times GEN_{g,t} + \\sum_{g \\in G_{thermal}, t \\in T} StartUpCost_g \\times START_{g,t} \\\\\n",
    "\\end{align}\n",
    "$$\n",
    "$$\n",
    "\\begin{align}\n",
    "\\text{s.t.} & \\\\\n",
    " & \\sum_{g} GEN_{g,t} = Demand_t & \\forall \\quad t \\in T \\\\\n",
    " & GEN_{g,t} \\leq Pmax_{g,t} & \\forall \\quad g \\notin G_{thermal} , t \\in T \\\\\n",
    " & GEN_{g,t} \\geq Pmin_{g,t} & \\forall \\quad g \\notin G_{thermal} , t \\in T \\\\\n",
    " & GEN_{g,t} \\leq Pmax_{g,t} \\times COMMIT_{g,t} & \\forall \\quad g \\in G_{thermal} , t \\in T \\\\\n",
    " & GEN_{g,t} \\geq Pmin_{g,t} \\times COMMIT_{g,t} & \\forall \\quad g \\in G_{thermal} , t \\in T \\\\\n",
    " & COMMIT_{g,t} \\geq \\sum_{t'≥t-MinUp_g}^{t} START_{g,t} & \\forall \\quad g \\in G_{thermal} , t \\in T \\\\\n",
    " & 1-COMMIT_{g,t} \\geq \\sum_{t'≥t-MinDown_g}^{t} SHUT_{g,t} &\\forall \\quad g \\in G_{thermal} , t \\in T \\\\\n",
    "  & COMMIT_{g,t+1} - COMMIT_{g,t} =&\\\\\n",
    " & \\quad START_{g,t+1} - SHUT_{g,t+1} &\\forall \\quad G_{thermal} \\in G , t = 1..T-1 \n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "\n",
    "The **decision variables** in the above problem:\n",
    "\n",
    "- $GEN_{g}$, generation (in MW) produced by each generator, $g$\n",
    "- $START_{g,t}$, startup decision (binary) of thermal generator $g$ at time $t$\n",
    "- $SHUT_{g,t}$, shutdown decision (binary) of thermal generator $g$ at time $t$\n",
    "- $COMMIT_{g,t}$, commitment status (binary) of generator $g$ at time $t$\n",
    "\n",
    "The **parameters** are:\n",
    "\n",
    "- $Pmin_g$, the minimum operating bounds for generator $g$ (based on engineering or natural resource constraints)\n",
    "- $Pmax_g$, the maximum operating bounds for generator $g$ (based on engineering or natural resource constraints)\n",
    "- $Demand$, the demand (in MW)\n",
    "- $VarCost_g = VarOM_g + HeatRate_g \\times FuelCost_g$, the variable cost of generator $g$ \n",
    "- $StartUpCost_g$, the startup cost of generator $g$\n",
    "- $MinUp_g$, the minimum up time of generator $g$, or the minimum time after start-up before a unit can shut down\n",
    "- $MinDown_g$, the minimum down time of generator $g$, or the minimum time after shut-down before a unit can start again\n",
    "\n",
    "In addition, we introduce a few different sets:\n",
    "\n",
    "- $G$, the set of all generators\n",
    "- $G_{thermal} \\subset G$, the subset of thermal generators for which commitment is necessary\n",
    "- $T$, the set of all time periods over which we are optimizing commitment and dispatch decisions\n",
    "\n",
    "Finally, the **three-variable commitment equations** capture the basic logic of commitment:\n",
    "\n",
    "- Units incur costs when they startup (not when they shutdown)\n",
    "- Units must stay on (and off) for a minimum period of time&mdash;in lieu of explicitly enforcing a startup trajectory\n",
    "- Some summations (simplified here) will need to be modified near the beginning of the time period\n",
    "\n",
    "There are some further resources at the bottom for alternative and/or more complex formulations of the UC.\n",
    "\n",
    "Now, let's implement UC."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. Load packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: For saving to png with the Plotly backend PlotlyBase has to be installed.\n",
      "└ @ Plots /Users/michd/.julia/packages/Plots/4UbNP/src/backends.jl:435\n"
     ]
    }
   ],
   "source": [
    "using JuMP, GLPK\n",
    "using Plots; plotly();\n",
    "using VegaLite  # to make some nice plots\n",
    "using DataFrames, CSV, PrettyTables\n",
    "ENV[\"COLUMNS\"]=120; # Set so all columns of DataFrames and Matrices are displayed"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. Load and format data\n",
    "\n",
    "We will use data loosely based on San Diego Gas and Electric (SDG&E, via the [PowerGenome](https://github.com/gschivley/PowerGenome) data platform) including a few neighboring generators and adjustments to make the problem easy to solve, consisting of:\n",
    "\n",
    "- 33 generators (we added a few more to ensure we can provide enough reserves)\n",
    "- estimated hourly demand for 2020 (net load at the transmission substation level after subtracting 600MW of behind-the-meter solar from original demand)\n",
    "- variable generation capacity factors\n",
    "- estimated natural gas fuel costs\n",
    "\n",
    "In order to demonstrate the impacts of unit commitment, we will keep our high solar sensitivity case from the [Economic Dispatch notebook](04-Economic-Dispatch.ipynb) (with 3,500 MW of solar PV) to produce large variations in net load (demand less available renewable supply) required to meet demand (similar to [California's infamous \"Duck Curve\"](https://www.caiso.com/Documents/FlexibleResourcesHelpRenewables_FastFacts.pdf)). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "datadir = joinpath(\"uc_data\") \n",
    "gen_info = CSV.read(joinpath(datadir,\"Generators_data.csv\"), DataFrame);\n",
    "fuels = CSV.read(joinpath(datadir,\"Fuels_data.csv\"), DataFrame);\n",
    "loads = CSV.read(joinpath(datadir,\"Demand.csv\"), DataFrame);\n",
    "gen_variable = CSV.read(joinpath(datadir,\"Generators_variability.csv\"), DataFrame);\n",
    "\n",
    "# Rename all columns to lowercase (by convention)\n",
    "for f in [gen_info, fuels, loads, gen_variable]\n",
    "    rename!(f,lowercase.(names(f)))\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Construct generator dataframe**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Keep columns relevant to our UC model \n",
    "select!(gen_info, 1:26) # columns 1:26\n",
    "gen_df = outerjoin(gen_info,  fuels, on = :fuel) # load in fuel costs and add to data frame\n",
    "rename!(gen_df, :cost_per_mmbtu => :fuel_cost)   # rename column for fuel cost\n",
    "gen_df.fuel_cost[ismissing.(gen_df[:,:fuel_cost])] .= 0\n",
    "\n",
    "# create \"is_variable\" column to indicate if this is a variable generation source (e.g. wind, solar):\n",
    "gen_df[!, :is_variable] .= false\n",
    "gen_df[in([\"onshore_wind_turbine\",\"small_hydroelectric\",\"solar_photovoltaic\"]).(gen_df.resource),\n",
    "    :is_variable] .= true;\n",
    "\n",
    "# create full name of generator (including geographic location and cluster number)\n",
    "#  for use with variable generation dataframe\n",
    "gen_df.gen_full = lowercase.(gen_df.region .* \"_\" .* gen_df.resource .* \"_\" .* string.(gen_df.cluster) .* \".0\");\n",
    "\n",
    "# remove generators with no capacity (e.g. new build options that we'd use if this was capacity expansion problem)\n",
    "gen_df = gen_df[gen_df.existing_cap_mw .> 0,:];"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Modify load and variable generation dataframes**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 1. Convert from GMT to GMT-8\n",
    "gen_variable.hour = mod.(gen_variable.hour .- 9, 8760) .+ 1 \n",
    "sort!(gen_variable, :hour)\n",
    "loads.hour = mod.(loads.hour .- 9, 8760) .+ 1\n",
    "sort!(loads, :hour);\n",
    "\n",
    "# 2. Convert from \"wide\" to \"long\" format\n",
    "gen_variable_long = stack(gen_variable, \n",
    "                        Not(:hour), \n",
    "                        variable_name=:gen_full,\n",
    "                        value_name=:cf);\n",
    "# Now we have a \"long\" dataframe"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. Create solver function"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As a utility function, since we do this alot, we'll create a function to convert JuMP AxisArray outputs with two indexes to DataFrames."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "value_to_df_2dim (generic function with 1 method)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#=\n",
    "Function to convert JuMP outputs (technically, AxisArrays) with two-indexes to a dataframe\n",
    "Inputs:\n",
    "    var -- JuMP AxisArray (e.g., value.(GEN))\n",
    "Reference: https://jump.dev/JuMP.jl/v0.19/containers/\n",
    "=#\n",
    "function value_to_df_2dim(var)\n",
    "    solution = DataFrame(var.data, :auto)\n",
    "    ax1 = var.axes[1]\n",
    "    ax2 = var.axes[2]\n",
    "    cols = names(solution)\n",
    "    insertcols!(solution, 1, :r_id => ax1)\n",
    "    solution = stack(solution, Not(:r_id), variable_name=:hour)\n",
    "    solution.hour = foldl(replace, [cols[i] => ax2[i] for i in 1:length(ax2)], init=solution.hour)\n",
    "    rename!(solution, :value => :gen)\n",
    "    solution.hour = convert.(Int64,solution.hour)\n",
    "    return solution\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we'll create a function to create and solve a simple unit commitment problem with specified input data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "unit_commitment_simple (generic function with 1 method)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#=\n",
    "Function to solve simple unit commitment problem (commitment equations)\n",
    "Inputs:\n",
    "    gen_df -- dataframe with generator info\n",
    "    loads  -- load by time\n",
    "    gen_variable -- capacity factors of variable generators (in \"long\" format)\n",
    "=#\n",
    "function unit_commitment_simple(gen_df, loads, gen_variable)\n",
    "    UC = Model(GLPK.Optimizer)\n",
    "\n",
    "    # We reduce the MIP gap tolerance threshold here to increase tractability\n",
    "    # Here we set it to a 1% gap, meaning that we will terminate once we have \n",
    "    # a feasible integer solution guaranteed to be within 1% of the objective\n",
    "    # function value of the optimal solution.\n",
    "    # Note that GLPK's default MIP gap is 0.0, meaning that it tries to solve\n",
    "    # the integer problem to optimality, which can take a LONG time for \n",
    "    # any complex problem. So it is important to set this to a realistic value.\n",
    "    set_optimizer_attribute(UC, \"mip_gap\", 0.01)\n",
    "\n",
    "    # Define sets based on data\n",
    "    # Note the creation of several different sets of generators for use in\n",
    "    # different equations.\n",
    "        # Thermal resources for which unit commitment constraints apply\n",
    "    G_thermal = gen_df[gen_df[!,:up_time] .> 0,:r_id] \n",
    "        # Non-thermal resources for which unit commitment constraints do NOT apply \n",
    "    G_nonthermal = gen_df[gen_df[!,:up_time] .== 0,:r_id]\n",
    "        # Variable renewable resources\n",
    "    G_var = gen_df[gen_df[!,:is_variable] .== 1,:r_id]\n",
    "        # Non-variable (dispatchable) resources\n",
    "    G_nonvar = gen_df[gen_df[!,:is_variable] .== 0,:r_id]\n",
    "        # Non-variable and non-thermal resources\n",
    "    G_nt_nonvar = intersect(G_nonvar, G_nonthermal)\n",
    "        # Set of all generators (above are all subsets of this)\n",
    "    G = gen_df.r_id\n",
    "        # All time periods (hours) over which we are optimizing\n",
    "    T = loads.hour\n",
    "        # A subset of time periods that excludes the last time period\n",
    "    T_red = loads.hour[1:end-1]  # reduced time periods without last one\n",
    "\n",
    "    # Generator capacity factor time series for variable generators\n",
    "    gen_var_cf = innerjoin(gen_variable, \n",
    "                    gen_df[gen_df.is_variable .== 1 , \n",
    "                        [:r_id, :gen_full, :existing_cap_mw]], \n",
    "                    on = :gen_full)\n",
    "        \n",
    "    # Decision variables   \n",
    "    @variables(UC, begin\n",
    "            # Continuous decision variables\n",
    "        GEN[G, T]  >= 0     # generation\n",
    "            # Bin = binary variables; \n",
    "            # the following are all binary decisions that \n",
    "            # can ONLY take the values 0 or 1\n",
    "            # The presence of these discrete decisions makes this an MILP\n",
    "        COMMIT[G_thermal, T], Bin # commitment status (Bin=binary)\n",
    "        START[G_thermal, T], Bin  # startup decision\n",
    "        SHUT[G_thermal, T], Bin   # shutdown decision\n",
    "    end)\n",
    "                \n",
    "    # Objective function\n",
    "        # Sum of variable costs + start-up costs for all generators and time periods\n",
    "    @objective(UC, Min, \n",
    "        sum( (gen_df[gen_df.r_id .== i,:heat_rate_mmbtu_per_mwh][1] * gen_df[gen_df.r_id .== i,:fuel_cost][1] +\n",
    "            gen_df[gen_df.r_id .== i,:var_om_cost_per_mwh][1]) * GEN[i,t] \n",
    "                        for i in G_nonvar for t in T) + \n",
    "        sum(gen_df[gen_df.r_id .== i,:var_om_cost_per_mwh][1] * GEN[i,t] \n",
    "                        for i in G_var for t in T)  + \n",
    "        sum(gen_df[gen_df.r_id .== i,:start_cost_per_mw][1] * \n",
    "            gen_df[gen_df.r_id .== i,:existing_cap_mw][1] *\n",
    "            START[i,t] \n",
    "                        for i in G_thermal for t in T)\n",
    "    )\n",
    "    \n",
    "    # Demand balance constraint (supply must = demand in all time periods)\n",
    "    @constraint(UC, cDemand[t in T], \n",
    "        sum(GEN[i,t] for i in G) == loads[loads.hour .== t,:demand][1])\n",
    "\n",
    "    # Capacity constraints \n",
    "      # 1. thermal generators requiring commitment\n",
    "    @constraint(UC, Cap_thermal_min[i in G_thermal, t in T], \n",
    "        GEN[i,t] >= COMMIT[i, t] * gen_df[gen_df.r_id .== i,:existing_cap_mw][1] *\n",
    "                        gen_df[gen_df.r_id .== i,:min_power][1])\n",
    "    @constraint(UC, Cap_thermal_max[i in G_thermal, t in T], \n",
    "        GEN[i,t] <= COMMIT[i, t] * gen_df[gen_df.r_id .== i,:existing_cap_mw][1])\n",
    "\n",
    "      # 2. non-variable generation not requiring commitment\n",
    "    @constraint(UC, Cap_nt_nonvar[i in G_nt_nonvar, t in T], \n",
    "        GEN[i,t] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1])\n",
    "    \n",
    "      # 3. variable generation, accounting for hourly capacity factor\n",
    "    @constraint(UC, Cap_var[i in 1:nrow(gen_var_cf)], \n",
    "            GEN[gen_var_cf[i,:r_id], gen_var_cf[i,:hour] ] <= \n",
    "                        gen_var_cf[i,:cf] *\n",
    "                        gen_var_cf[i,:existing_cap_mw])\n",
    "    \n",
    "    # Unit commitment constraints\n",
    "      # 1. Minimum up time\n",
    "    @constraint(UC, Startup[i in G_thermal, t in T],\n",
    "        COMMIT[i, t] >= sum(START[i, tt] \n",
    "                        for tt in intersect(T,\n",
    "                            (t-gen_df[gen_df.r_id .== i,:up_time][1]):t)))\n",
    "\n",
    "      # 2. Minimum down time\n",
    "    @constraint(UC, Shutdown[i in G_thermal, t in T],\n",
    "        1-COMMIT[i, t] >= sum(SHUT[i, tt] \n",
    "                        for tt in intersect(T,\n",
    "                            (t-gen_df[gen_df.r_id .== i,:down_time][1]):t)))\n",
    " \n",
    "      # 3. Commitment state\n",
    "    @constraint(UC, CommitmentStatus[i in G_thermal, t in T_red],\n",
    "        COMMIT[i,t+1] - COMMIT[i,t] == START[i,t+1] - SHUT[i,t+1])\n",
    "    \n",
    "    # Solve statement (! indicates runs in place)\n",
    "    optimize!(UC)\n",
    "\n",
    "    # Generation solution and convert to data frame \n",
    "    # with our helper function defined above\n",
    "    gen = value_to_df_2dim(value.(GEN))\n",
    "\n",
    "    # Commitment status solution and convert to data frame\n",
    "    commit = value_to_df_2dim(value.(COMMIT))\n",
    "\n",
    "    # Calculate curtailment = available wind and/or solar output that \n",
    "    # had to be wasted due to operating constraints\n",
    "    curtail = innerjoin(gen_var_cf, gen, on = [:r_id, :hour])\n",
    "    curtail.curt = curtail.cf .* curtail.existing_cap_mw - curtail.gen\n",
    "    \n",
    "    # Return the solution parameters and objective\n",
    "    return (\n",
    "        gen,\n",
    "        commit,\n",
    "        curtail,\n",
    "        cost = objective_value(UC),\n",
    "        status = termination_status(UC)\n",
    "    )\n",
    "\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4. Solve a day's unit commitment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# A spring day\n",
    "n=100\n",
    "T_period = (n*24+1):((n+1)*24)\n",
    "\n",
    "# High solar case: 3,500 MW\n",
    "gen_df_sens = copy(gen_df)\n",
    "gen_df_sens[gen_df_sens.resource .== \"solar_photovoltaic\",\n",
    "    :existing_cap_mw] .= 3500\n",
    "\n",
    "loads_multi = loads[in.(loads.hour,Ref(T_period)),:]\n",
    "gen_variable_multi = gen_variable_long[in.(gen_variable_long.hour,Ref(T_period)),:]\n",
    "\n",
    "solution = unit_commitment_simple(gen_df_sens, loads_multi, gen_variable_multi);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v4+json": {
       "data": {
        "values": [
         {
          "gen_sum": 21.4,
          "hour": 0,
          "resource": "biomass"
         },
         {
          "gen_sum": 42,
          "hour": 0,
          "resource": "hydroelectric_pumped_storage"
         },
         {
          "gen_sum": 1364.086568,
          "hour": 0,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 21.0197,
          "hour": 0,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 163.3088,
          "hour": 0,
          "resource": "_onshore_wind_turbine"
         },
         {
          "gen_sum": 3.184932,
          "hour": 0,
          "resource": "_small_hydroelectric"
         },
         {
          "gen_sum": 0,
          "hour": 0,
          "resource": "_solar_photovoltaic"
         },
         {
          "gen_sum": 21.4,
          "hour": 1,
          "resource": "biomass"
         },
         {
          "gen_sum": 42,
          "hour": 1,
          "resource": "hydroelectric_pumped_storage"
         },
         {
          "gen_sum": 1295.602088,
          "hour": 1,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 21.0197,
          "hour": 1,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 169.79327999999998,
          "hour": 1,
          "resource": "_onshore_wind_turbine"
         },
         {
          "gen_sum": 3.184932,
          "hour": 1,
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          "resource": "_curtailment"
         },
         {
          "gen_sum": 0,
          "hour": 8,
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         },
         {
          "gen_sum": 0,
          "hour": 9,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 0,
          "hour": 10,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 0,
          "hour": 11,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 29.418571999999823,
          "hour": 12,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 122.16761199999992,
          "hour": 13,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 119.79625199999982,
          "hour": 14,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 40.88569199999968,
          "hour": 15,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 0,
          "hour": 16,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 0,
          "hour": 17,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 0,
          "hour": 18,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 0,
          "hour": 19,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 0,
          "hour": 20,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 0,
          "hour": 21,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 0,
          "hour": 22,
          "resource": "_curtailment"
         },
         {
          "gen_sum": 0,
          "hour": 23,
          "resource": "_curtailment"
         }
        ]
       },
       "encoding": {
        "color": {
         "field": "resource",
         "scale": {
          "scheme": "category10"
         },
         "type": "nominal"
        },
        "x": {
         "field": "hour",
         "type": "quantitative"
        },
        "y": {
         "field": "gen_sum",
         "stack": "zero",
         "type": "quantitative"
        }
       },
       "mark": "area"
      },
      "image/png": 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fill=\"#9467bd\"/></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g><g transform=\"translate(0,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h200v200h-200Z\"/><g><g class=\"mark-area role-mark marks\" role=\"graphics-object\" aria-roledescription=\"area mark container\"><path aria-label=\"hour: 0; gen_sum: 0; resource: _curtailment\" role=\"graphics-symbol\" aria-roledescription=\"area mark\" d=\"M0,107.71428571428572L8.333333333333332,111.25714285714285L16.666666666666664,113.25714285714285L25,110.74285714285712L33.33333333333333,100.97142857142858L41.66666666666667,87.08571428571427L50,68.16114285714288L58.333333333333336,44.019428571428556L66.66666666666666,21.453714285714298L75,7.518857142857138L83.33333333333334,0.7234285714285305L91.66666666666666,9.63771428571427L100,19.475510171428567L108.33333333333333,18.544707885714296L116.66666666666667,24.442499885714298L125,36.309389028571395L133.33333333333331,45.56114285714283L141.66666666666669,53.24799999999996L150,62.478857142857166L158.33333333333331,57.085714285714296L166.66666666666669,56.800000000000004L175,70.97142857142858L183.33333333333331,86.39999999999999L191.66666666666669,99.42857142857142L191.66666666666669,99.42857142857142L183.33333333333331,86.39999999999999L175,70.97142857142858L166.66666666666669,56.800000000000004L158.33333333333331,57.085714285714296L150,62.478857142857166L141.66666666666669,53.24799999999996L133.33333333333331,45.56114285714283L125,38.64571428571424L116.66666666666667,31.288000000000004L108.33333333333333,25.525714285714287L100,21.156571428571414L91.66666666666666,9.63771428571427L83.33333333333334,0.7234285714285305L75,7.518857142857138L66.66666666666666,21.453714285714298L58.333333333333336,44.019428571428556L50,68.16114285714288L41.66666666666667,87.08571428571427L33.33333333333333,100.97142857142858L25,110.74285714285712L16.666666666666664,113.25714285714285L8.333333333333332,111.25714285714285L0,107.71428571428572Z\" fill=\"#1f77b4\"/></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g></g><g class=\"mark-group role-legend\" role=\"graphics-symbol\" aria-roledescription=\"legend\" aria-label=\"Symbol legend titled 'resource' for fill color with 9 values: _curtailment, _onshore_wind_turbine, _small_hydroelectric, _solar_photovoltaic, _solar_photovoltaic_btm, ending with natural_gas_fired_combustion_turbine\"><g transform=\"translate(218,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v131h-175Z\" pointer-events=\"none\"/><g><g class=\"mark-group role-legend-entry\"><g transform=\"translate(0,16)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h0v0h0Z\" pointer-events=\"none\"/><g><g class=\"mark-group role-scope\" role=\"graphics-object\" aria-roledescription=\"group mark container\"><g transform=\"translate(0,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#1f77b4\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_curtailment</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,13)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#ff7f0e\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_onshore_wind_turbine</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,26)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#2ca02c\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_small_hydroelectric</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,39)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#d62728\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_solar_photovoltaic</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,52)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#9467bd\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_solar_photovoltaic_btm</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,65)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#8c564b\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">biomass</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,78)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#e377c2\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">hydroelectric_pumped_storage</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,91)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#7f7f7f\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">natural_gas_fired_combined_cy…</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,104)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#bcbd22\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">natural_gas_fired_combustion_t…</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g><g class=\"mark-text role-legend-title\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(0,9)\" font-family=\"sans-serif\" font-size=\"11px\" font-weight=\"bold\" fill=\"#000\" opacity=\"1\">resource</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g></g></g></svg>\n"
      ],
      "text/plain": [
       "@vlplot(\n",
       "    mark=\"area\",\n",
       "    encoding={\n",
       "        x={\n",
       "            field=\"hour\"\n",
       "        },\n",
       "        y={\n",
       "            stack=\"zero\",\n",
       "            field=\"gen_sum\"\n",
       "        },\n",
       "        color={\n",
       "            scale={\n",
       "                scheme=\"category10\"\n",
       "            },\n",
       "            field=\"resource\",\n",
       "            type=\"nominal\"\n",
       "        }\n",
       "    },\n",
       "    data={\n",
       "        values=...\n",
       "    }\n",
       ")"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Add in BTM solar and curtailment and plot results\n",
    "\n",
    "sol_gen = innerjoin(solution.gen, \n",
    "                    gen_df[!, [:r_id, :resource]], \n",
    "                    on = :r_id)\n",
    "sol_gen = combine(groupby(sol_gen, [:resource, :hour]), \n",
    "            :gen => sum)\n",
    "\n",
    "# Rename generators (for plotting purposes)\n",
    "sol_gen[sol_gen.resource .== \"solar_photovoltaic\", :resource] .= \"_solar_photovoltaic\"\n",
    "sol_gen[sol_gen.resource .== \"onshore_wind_turbine\", :resource] .= \"_onshore_wind_turbine\"\n",
    "sol_gen[sol_gen.resource .== \"small_hydroelectric\", :resource] .= \"_small_hydroelectric\"\n",
    "\n",
    "# BTM solar\n",
    "btm = DataFrame(resource = repeat([\"_solar_photovoltaic_btm\"]; outer=length(T_period)), \n",
    "    hour = T_period,\n",
    "    gen_sum = gen_variable_multi[gen_variable_multi.gen_full .== \"wec_sdge_solar_photovoltaic_1.0\",:cf] * 600)\n",
    "append!(sol_gen, btm)\n",
    "\n",
    "# Curtailment\n",
    "curtail = combine(groupby(solution.curtail, [:hour]),\n",
    "            :curt => sum)\n",
    "curtail[!, :resource] .= \"_curtailment\"\n",
    "rename!(curtail, :curt_sum => :gen_sum)\n",
    "append!(sol_gen, curtail[:,[:resource, :hour, :gen_sum]])\n",
    "\n",
    "# Rescale hours\n",
    "sol_gen.hour = sol_gen.hour .- T_period[1]\n",
    "\n",
    "sol_gen |>\n",
    "@vlplot(:area, \n",
    "    x=:hour, y={:gen_sum, stack=:zero}, \n",
    "    color={\"resource:n\", scale={scheme=\"category10\"}})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that the combined cycle plants flatten out during the day, but don't shut down due to the need for ramping capabilities in the late afternoon/evening, when solar output falls off and evening demand remains strong. This leads to some curtailment of solar from 11:00 - 16:00, which was not present in the Economic Dispatch model. All curtailment is lumped together as the model does not accurately distinguish between whether wind, solar or hydro is curtailed, which in practice is up to the system operator and depends on a variety of factors such as location, interconnection voltage, etc."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can examine the commitment status of various units by examining the results in `solution.commit`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v4+json": {
       "data": {
        "values": [
         {
          "gen_sum": 6,
          "hour": 0,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 1,
          "hour": 0,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 1,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 1,
          "hour": 1,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 2,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 2,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 3,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 3,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 4,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 4,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 5,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 5,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 6,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 1,
          "hour": 6,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 7,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 1,
          "hour": 7,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 8,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 8,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 9,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 9,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 10,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 10,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 11,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 11,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 12,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 12,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 13,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 13,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 14,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 14,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 15,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 15,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 16,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 16,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 17,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 17,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 18,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 10,
          "hour": 18,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 5,
          "hour": 19,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 10,
          "hour": 19,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 5,
          "hour": 20,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 9,
          "hour": 20,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 5,
          "hour": 21,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 6,
          "hour": 21,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 5,
          "hour": 22,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 3,
          "hour": 22,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 5,
          "hour": 23,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 23,
          "resource": "natural_gas_fired_combustion_turbine"
         }
        ]
       },
       "encoding": {
        "color": {
         "field": "resource",
         "scale": {
          "scheme": "category10"
         },
         "type": "nominal"
        },
        "x": {
         "field": "hour",
         "type": "quantitative"
        },
        "y": {
         "field": "gen_sum",
         "stack": "zero",
         "type": "quantitative"
        }
       },
       "mark": "area"
      },
      "image/png": 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",
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      ],
      "text/plain": [
       "@vlplot(\n",
       "    mark=\"area\",\n",
       "    encoding={\n",
       "        x={\n",
       "            field=\"hour\"\n",
       "        },\n",
       "        y={\n",
       "            stack=\"zero\",\n",
       "            field=\"gen_sum\"\n",
       "        },\n",
       "        color={\n",
       "            scale={\n",
       "                scheme=\"category10\"\n",
       "            },\n",
       "            field=\"resource\",\n",
       "            type=\"nominal\"\n",
       "        }\n",
       "    },\n",
       "    data={\n",
       "        values=...\n",
       "    }\n",
       ")"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sol_commit = innerjoin(solution.commit, \n",
    "                    gen_df[!, [:r_id, :resource]], \n",
    "                    on = :r_id)\n",
    "sol_commit = combine(groupby(sol_commit, [:resource, :hour]), \n",
    "            :gen => sum)\n",
    "sol_commit.hour = sol_commit.hour .- T_period[1]\n",
    "\n",
    "sol_commit |>\n",
    "@vlplot(:area, \n",
    "    x=:hour, y={:gen_sum, stack=:zero}, \n",
    "    color={\"resource:n\", scale={scheme=\"category10\"}})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that units shutdown during the solar period and startup for the evening peak. However, due to the commitment constraints, not all natural gas plants can be decommitted, resulting in the observed curtailment. A large number of combustion turbines turn on to meet the evening peak."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Moderate complexity unit commitment\n",
    "\n",
    "We expand the above unit commitment with ramp equations. These must be modified to prevent ramp violations during the startup process. In order to accommodate this, we introduce an **auxiliary variable** $GENAUX_{g,t}$ defined as the generation above the minimum output (if committed). $GENAUX_{g,t} = GEN_{g,t} = 0$ if the unit is not committed. Auxiliary variables are for convenience (we could always write the whole problem in terms of the original decision variables), but they help de-clutter the model and in general won't add too much computational penalty. The following constraints are added:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    " & GENAUX_{g,t} = GEN_{g,t} - Pmin_{g,t}COMMIT_{g,t} & \\forall \\quad g \\in G_{thermal} , t \\in T \\\\\n",
    " & GENAUX_{g,t+1} - GENAUX_{g,t} \\leq RampUp_{g} & \\forall \\quad g \\in G_{thermal} , t = 1..T-1 \\\\\n",
    "  & GENAUX_{g,t} - GENAUX_{g,t+1} \\leq RampDn_{g} & \\forall \\quad g \\in G_{thermal} , t = 1..T-1 \\\\\n",
    " & GEN_{g,t+1} - GEN_{g,t} \\leq RampUp_{g} & \\forall \\quad g \\notin G_{thermal} , t = 1..T-1 \\\\\n",
    "  & GEN_{g,t} - GEN_{g,t+1} \\leq RampDn_{g} & \\forall \\quad g \\notin G_{thermal} , t = 1..T-1  \n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "The creation of this auxiliary variable $GENAUX$ helps us avoid violating ramping constraints when we start up our units and their generation immediately jumps up to their minium output level or during shut-down when a unit drops from minimum output (or above) to zero. \n",
    "\n",
    "Note you may encounter alternative formulations in the literature to address this start-up and shut-down that modify the right-hand side of the traditional ramping constraint on total generation to account for the additional step change in output during start-up or shut-down periods. The above formulation is conceptually simple and works well."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. Create solver function\n",
    "\n",
    "(We reuse steps 1 and 2 above to load packages and data.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "unit_commitment_ramp (generic function with 1 method)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#=\n",
    "Function to solve moderate complexity unit commitment problem (commitment and ramp equations)\n",
    "Inputs:\n",
    "    gen_df -- dataframe with generator info\n",
    "    loads  -- load by time\n",
    "    gen_variable -- capacity factors of variable generators (in \"long\" format)\n",
    "=#\n",
    "function unit_commitment_ramp(gen_df, loads, gen_variable)\n",
    "    UC = Model(GLPK.Optimizer)\n",
    "    set_optimizer_attribute(UC, \"mip_gap\", 0.01) #1% MIP gap\n",
    "\n",
    "    # Define sets based on data\n",
    "    # Note the creation of several different sets of generators for use in\n",
    "    # different equations.\n",
    "    G_thermal = gen_df[gen_df[!,:up_time] .> 0,:r_id]\n",
    "    G_nonthermal = gen_df[gen_df[!,:up_time] .== 0,:r_id]\n",
    "    G_var = gen_df[gen_df[!,:is_variable] .== 1,:r_id] \n",
    "    G_nonvar = gen_df[gen_df[!,:is_variable] .== 0,:r_id]\n",
    "    G_nt_nonvar = intersect(G_nonvar, G_nonthermal)\n",
    "    G = gen_df.r_id\n",
    "    T = loads.hour\n",
    "    T_red = loads.hour[1:end-1]  # reduced time periods without last one\n",
    "\n",
    "    # Generator capacity factor time series for variable generators\n",
    "    gen_var_cf = innerjoin(gen_variable, \n",
    "                    gen_df[gen_df.is_variable .== 1 , \n",
    "                        [:r_id, :gen_full, :existing_cap_mw]], \n",
    "                    on = :gen_full)\n",
    "        \n",
    "    # Decision variables   \n",
    "    @variables(UC, begin\n",
    "        GEN[G, T]  >= 0     # generation\n",
    "        GENAUX[G_thermal, T] >= 0 # auxiliary generation variable\n",
    "        COMMIT[G_thermal, T], Bin # commitment status (Bin=binary)\n",
    "        START[G_thermal, T], Bin  # startup decision\n",
    "        SHUT[G_thermal, T], Bin   # shutdown decision\n",
    "    end)\n",
    "                \n",
    "    # Objective function\n",
    "    @objective(UC, Min, \n",
    "        sum( (gen_df[gen_df.r_id .== i,:heat_rate_mmbtu_per_mwh][1] * gen_df[gen_df.r_id .== i,:fuel_cost][1] +\n",
    "            gen_df[gen_df.r_id .== i,:var_om_cost_per_mwh][1]) * GEN[i,t] \n",
    "                        for i in G_nonvar for t in T) + \n",
    "        sum(gen_df[gen_df.r_id .== i,:var_om_cost_per_mwh][1] * GEN[i,t] \n",
    "                        for i in G_var for t in T) + \n",
    "        sum(gen_df[gen_df.r_id .== i,:start_cost_per_mw][1] * \n",
    "            gen_df[gen_df.r_id .== i,:existing_cap_mw][1] *\n",
    "            START[i,t] \n",
    "                        for i in G_thermal for t in T)\n",
    "    )\n",
    "    \n",
    "    # Demand constraint\n",
    "    @constraint(UC, cDemand[t in T], \n",
    "        sum(GEN[i,t] for i in G) == loads[loads.hour .== t,:demand][1])\n",
    "\n",
    "    # Capacity constraints (thermal generators requiring commitment)\n",
    "    @constraint(UC, Cap_thermal_min[i in G_thermal, t in T], \n",
    "        GEN[i,t] >= COMMIT[i, t] * gen_df[gen_df.r_id .== i,:existing_cap_mw][1] *\n",
    "                        gen_df[gen_df.r_id .== i,:min_power][1])\n",
    "    @constraint(UC, Cap_thermal_max[i in G_thermal, t in T], \n",
    "        GEN[i,t] <= COMMIT[i, t] * gen_df[gen_df.r_id .== i,:existing_cap_mw][1])\n",
    "\n",
    "    # Capacity constraints (non-variable generation not requiring commitment)\n",
    "    @constraint(UC, Cap_nt_nonvar[i in G_nt_nonvar, t in T], \n",
    "        GEN[i,t] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1])\n",
    "\n",
    "    # Capacity constraints (variable generation)\n",
    "    @constraint(UC, Cap_var[i in 1:nrow(gen_var_cf)], \n",
    "            GEN[gen_var_cf[i,:r_id], gen_var_cf[i,:hour] ] <= \n",
    "                        gen_var_cf[i,:cf] *\n",
    "                        gen_var_cf[i,:existing_cap_mw])\n",
    "    \n",
    "    # Unit commitment constraints\n",
    "    @constraint(UC, Startup[i in G_thermal, t in T],\n",
    "        COMMIT[i, t] >= sum(START[i, tt] \n",
    "                        for tt in intersect(T,\n",
    "                            (t-gen_df[gen_df.r_id .== i,:up_time][1]):t)))\n",
    "\n",
    "    @constraint(UC, Shutdown[i in G_thermal, t in T],\n",
    "        1-COMMIT[i, t] >= sum(SHUT[i, tt] \n",
    "                        for tt in intersect(T,\n",
    "                            (t-gen_df[gen_df.r_id .== i,:down_time][1]):t)))\n",
    "    \n",
    "    @constraint(UC, CommitmentStatus[i in G_thermal, t in T_red],\n",
    "        COMMIT[i,t+1] - COMMIT[i,t] == START[i,t+1] - SHUT[i,t+1])\n",
    "    \n",
    "    # New auxiliary variable GENAUX for generation above the minimum output level\n",
    "    # for committed thermal units (only created for thermal generators)\n",
    "    @constraint(UC, AuxGen[i in G_thermal, t in T],\n",
    "        GENAUX[i,t] == GEN[i,t] - COMMIT[i, t] * gen_df[gen_df.r_id .== i,:existing_cap_mw][1] *\n",
    "                        gen_df[gen_df.r_id .== i,:min_power][1])\n",
    "    \n",
    "    # Ramp equations for thermal generators (constraining GENAUX)\n",
    "    @constraint(UC, RampUp_thermal[i in G_thermal, t in T_red], \n",
    "        GENAUX[i,t+1] - GENAUX[i,t] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1] * \n",
    "                                 gen_df[gen_df.r_id .== i,:ramp_up_percentage][1] )\n",
    "\n",
    "    @constraint(UC, RampDn_thermal[i in G_thermal, t in T_red], \n",
    "        GENAUX[i,t] - GENAUX[i,t+1] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1] * \n",
    "                                 gen_df[gen_df.r_id .== i,:ramp_dn_percentage][1] )\n",
    "\n",
    "    # Ramp equations for non-thermal generators (constraining total generation GEN)\n",
    "    @constraint(UC, RampUp_nonthermal[i in G_nonthermal, t in T_red], \n",
    "        GEN[i,t+1] - GEN[i,t] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1] * \n",
    "                                 gen_df[gen_df.r_id .== i,:ramp_up_percentage][1] )\n",
    "\n",
    "    @constraint(UC, RampDn[i in G, t in T_red], \n",
    "        GEN[i,t] - GEN[i,t+1] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1] * \n",
    "                                 gen_df[gen_df.r_id .== i,:ramp_dn_percentage][1] )\n",
    "      \n",
    "    \n",
    "    # Solve statement (! indicates runs in place)\n",
    "    optimize!(UC)\n",
    "\n",
    "    # Generation solution\n",
    "    gen = value_to_df_2dim(value.(GEN))\n",
    "\n",
    "    # Commitment status solution\n",
    "    commit = value_to_df_2dim(value.(COMMIT))\n",
    "\n",
    "    # Calculate curtailment\n",
    "    curtail = innerjoin(gen_var_cf, gen, on = [:r_id, :hour])\n",
    "    curtail.curt = curtail.cf .* curtail.existing_cap_mw - curtail.gen\n",
    "    \n",
    "    # Return the solution and objective as named tuple\n",
    "    return (\n",
    "        gen,\n",
    "        commit,\n",
    "        curtail,\n",
    "        cost = objective_value(UC),\n",
    "        status = termination_status(UC)\n",
    "    )\n",
    "\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4. Solve a day's unit commitment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
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",
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d=\"M0,107.71428571428572L8.333333333333332,111.25714285714285L16.666666666666664,113.25714285714285L25,110.74285714285712L33.33333333333333,100.97142857142858L41.66666666666667,87.08571428571427L50,68.16114285714288L58.333333333333336,44.01942857142858L66.66666666666666,21.453714285714298L75,7.518857142857138L83.33333333333334,0.7234285714285527L91.66666666666666,9.63771428571427L100,18.179803428571418L108.33333333333333,18.544707885714296L116.66666666666667,24.442499885714298L125,34.907968000000025L133.33333333333331,45.56114285714283L141.66666666666669,53.24799999999996L150,62.478857142857144L158.33333333333331,57.085714285714296L166.66666666666669,56.79999999999998L175,70.97142857142855L183.33333333333331,86.4L191.66666666666669,99.42857142857144L191.66666666666669,99.42857142857144L183.33333333333331,86.4L175,70.97142857142855L166.66666666666669,56.79999999999998L158.33333333333331,57.085714285714296L150,62.478857142857144L141.66666666666669,53.24799999999996L133.33333333333331,45.56114285714283L125,38.645714285714305L116.66666666666667,31.288000000000004L108.33333333333333,25.525714285714287L100,21.156571428571414L91.66666666666666,9.63771428571427L83.33333333333334,0.7234285714285527L75,7.518857142857138L66.66666666666666,21.453714285714298L58.333333333333336,44.01942857142858L50,68.16114285714288L41.66666666666667,87.08571428571427L33.33333333333333,100.97142857142858L25,110.74285714285712L16.666666666666664,113.25714285714285L8.333333333333332,111.25714285714285L0,107.71428571428572Z\" fill=\"#1f77b4\"/></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g></g><g class=\"mark-group role-legend\" role=\"graphics-symbol\" aria-roledescription=\"legend\" aria-label=\"Symbol legend titled 'resource' for fill color with 9 values: _curtailment, _onshore_wind_turbine, _small_hydroelectric, _solar_photovoltaic, _solar_photovoltaic_btm, ending with natural_gas_fired_combustion_turbine\"><g transform=\"translate(218,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v131h-175Z\" pointer-events=\"none\"/><g><g class=\"mark-group role-legend-entry\"><g transform=\"translate(0,16)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h0v0h0Z\" pointer-events=\"none\"/><g><g class=\"mark-group role-scope\" role=\"graphics-object\" aria-roledescription=\"group mark container\"><g transform=\"translate(0,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#1f77b4\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_curtailment</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,13)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#ff7f0e\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_onshore_wind_turbine</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,26)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#2ca02c\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_small_hydroelectric</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,39)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#d62728\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_solar_photovoltaic</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,52)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#9467bd\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_solar_photovoltaic_btm</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,65)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#8c564b\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">biomass</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,78)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#e377c2\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">hydroelectric_pumped_storage</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,91)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#7f7f7f\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">natural_gas_fired_combined_cy…</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,104)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#bcbd22\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">natural_gas_fired_combustion_t…</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g><g class=\"mark-text role-legend-title\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(0,9)\" font-family=\"sans-serif\" font-size=\"11px\" font-weight=\"bold\" fill=\"#000\" opacity=\"1\">resource</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g></g></g></svg>\n"
      ],
      "text/plain": [
       "@vlplot(\n",
       "    mark=\"area\",\n",
       "    encoding={\n",
       "        x={\n",
       "            field=\"hour\"\n",
       "        },\n",
       "        y={\n",
       "            stack=\"zero\",\n",
       "            field=\"gen_sum\"\n",
       "        },\n",
       "        color={\n",
       "            scale={\n",
       "                scheme=\"category10\"\n",
       "            },\n",
       "            field=\"resource\",\n",
       "            type=\"nominal\"\n",
       "        }\n",
       "    },\n",
       "    data={\n",
       "        values=...\n",
       "    }\n",
       ")"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "solution = unit_commitment_ramp(gen_df_sens, loads_multi, gen_variable_multi);\n",
    "\n",
    "# Add in BTM solar and curtailment and plot results\n",
    "\n",
    "sol_gen = innerjoin(solution.gen, \n",
    "                    gen_df[!, [:r_id, :resource]], \n",
    "                    on = :r_id)\n",
    "sol_gen = combine(groupby(sol_gen, [:resource, :hour]), \n",
    "            :gen => sum)\n",
    "\n",
    "# Rename generators (for plotting purposes)\n",
    "sol_gen[sol_gen.resource .== \"solar_photovoltaic\", :resource] .= \"_solar_photovoltaic\"\n",
    "sol_gen[sol_gen.resource .== \"onshore_wind_turbine\", :resource] .= \"_onshore_wind_turbine\"\n",
    "sol_gen[sol_gen.resource .== \"small_hydroelectric\", :resource] .= \"_small_hydroelectric\"\n",
    "\n",
    "# BTM solar\n",
    "btm = DataFrame(resource = repeat([\"_solar_photovoltaic_btm\"]; outer=length(T_period)), \n",
    "    hour = T_period,\n",
    "    gen_sum = gen_variable_multi[gen_variable_multi.gen_full .== \"wec_sdge_solar_photovoltaic_1.0\",:cf] * 600)\n",
    "append!(sol_gen, btm)\n",
    "\n",
    "# Curtailment\n",
    "curtail = combine(groupby(solution.curtail, [:hour]),\n",
    "            :curt => sum)\n",
    "curtail[!, :resource] .= \"_curtailment\"\n",
    "rename!(curtail, :curt_sum => :gen_sum)\n",
    "append!(sol_gen, curtail[:,[:resource, :hour, :gen_sum]])\n",
    "\n",
    "# Rescale hours\n",
    "sol_gen.hour = sol_gen.hour .- T_period[1]\n",
    "\n",
    "sol_gen |>\n",
    "@vlplot(:area, \n",
    "    x=:hour, y={:gen_sum, stack=:zero}, \n",
    "    color={\"resource:n\", scale={scheme=\"category10\"}})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In contrast to when we added ramp constraints to the Economic Dispatch problem, adding ramp constraints to our Unit Commitment formulation does not change the solution as much (at least in this case). Much of the inflexibility here arises from the unit commitment constraints, and once committed, there is ample ramping capability. We do however get relatively more combustion turbines running to meet the evening ramp, given their faster ramp rates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v4+json": {
       "data": {
        "values": [
         {
          "gen_sum": 6,
          "hour": 0,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 1,
          "hour": 0,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 1,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 1,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 2,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 2,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 3,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 3,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 4,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 4,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 5,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 5,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 6,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 1,
          "hour": 6,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 7,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 1,
          "hour": 7,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 8,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 8,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 9,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 9,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 10,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 10,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 11,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 11,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 12,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 12,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 13,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 13,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 14,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 14,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 15,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 15,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 16,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 16,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 17,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 17,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 18,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 10,
          "hour": 18,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 19,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 14,
          "hour": 19,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 20,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 13,
          "hour": 20,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 21,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 9,
          "hour": 21,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 22,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 6,
          "hour": 22,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 23,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 3,
          "hour": 23,
          "resource": "natural_gas_fired_combustion_turbine"
         }
        ]
       },
       "encoding": {
        "color": {
         "field": "resource",
         "scale": {
          "scheme": "category10"
         },
         "type": "nominal"
        },
        "x": {
         "field": "hour",
         "type": "quantitative"
        },
        "y": {
         "field": "gen_sum",
         "stack": "zero",
         "type": "quantitative"
        }
       },
       "mark": "area"
      },
      "image/png": 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fill=\"#1f77b4\"/></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g><g transform=\"translate(0,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h200v200h-200Z\"/><g><g class=\"mark-area role-mark marks\" role=\"graphics-object\" aria-roledescription=\"area mark container\"><path aria-label=\"hour: 0; gen_sum: 1; resource: natural_gas_fired_combustion_turbine\" role=\"graphics-symbol\" aria-roledescription=\"area mark\" 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class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g></g><g class=\"mark-group role-legend\" role=\"graphics-symbol\" aria-roledescription=\"legend\" aria-label=\"Symbol legend titled 'resource' for fill color with 2 values: natural_gas_fired_combined_cycle, natural_gas_fired_combustion_turbine\"><g transform=\"translate(218,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v40h-175Z\" pointer-events=\"none\"/><g><g class=\"mark-group role-legend-entry\"><g transform=\"translate(0,16)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h0v0h0Z\" pointer-events=\"none\"/><g><g class=\"mark-group role-scope\" role=\"graphics-object\" aria-roledescription=\"group mark container\"><g transform=\"translate(0,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#1f77b4\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">natural_gas_fired_combined_cy…</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,13)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#ff7f0e\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">natural_gas_fired_combustion_t…</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g><g class=\"mark-text role-legend-title\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(0,9)\" font-family=\"sans-serif\" font-size=\"11px\" font-weight=\"bold\" fill=\"#000\" opacity=\"1\">resource</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g></g></g></svg>\n"
      ],
      "text/plain": [
       "@vlplot(\n",
       "    mark=\"area\",\n",
       "    encoding={\n",
       "        x={\n",
       "            field=\"hour\"\n",
       "        },\n",
       "        y={\n",
       "            stack=\"zero\",\n",
       "            field=\"gen_sum\"\n",
       "        },\n",
       "        color={\n",
       "            scale={\n",
       "                scheme=\"category10\"\n",
       "            },\n",
       "            field=\"resource\",\n",
       "            type=\"nominal\"\n",
       "        }\n",
       "    },\n",
       "    data={\n",
       "        values=...\n",
       "    }\n",
       ")"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sol_commit = innerjoin(solution.commit, \n",
    "                    gen_df[!, [:r_id, :resource]], \n",
    "                    on = :r_id)\n",
    "sol_commit = combine(groupby(sol_commit, [:resource, :hour]), \n",
    "            :gen => sum)\n",
    "sol_commit.hour = sol_commit.hour .- T_period[1]\n",
    "\n",
    "sol_commit |>\n",
    "@vlplot(:area, \n",
    "    x=:hour, y={:gen_sum, stack=:zero}, \n",
    "    color={\"resource:n\", scale={scheme=\"category10\"}})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A case involving more large coal or nuclear units with slower ramping limits than gas turbines or combined cycle plants might find ramp constraints more limiting. As in many cases, the impact of constraints is case dependent, and models must exercise some judicious application of domain knowledge (and experimentation with alternative formulations) to decide how complex your model should be to reflect important *binding* constraints that actually shape your outcomes of interest. Where constraints are non-binding or second order, it may be more practical to omit them entirely, reducing the computational intensity (solve time) of your model..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Unit commitment with ramping and reserves\n",
    "\n",
    "We now add spinning reserve requirements to the model. Spinning reserves refer to generation capacity that is online and able to generate (e.g., within 10-30 minutes) if needed by the system operator. (Note: in Europe, these are referred to as tertiary reserves.) The SO will establish reserve requirements to maintain sufficient capacity to respond to demand or supply forecast errors or in case of \"contingencies,\" such as the unplanned and sudden loss of a generating station or a transmission line. The SO then typically operates a reserve market to competitively procure this available capacity. Most SO's actually define several classes of reserve products defined by their response time and period over which they may be activated. \n",
    "\n",
    "Here we will focus on spinning reserve requirements and establish a simple set of reserve requirements for reserves up (ability to quickly increase output) and reserves down (ability to quickly reduce output):\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    " & ResReqUp_t = 300 MW + 5\\% \\times Demand_t  &\\forall \\quad t \\in T \\\\\n",
    " & ResReqDn_t = 5\\% \\times Demand_t & \\forall \\quad t \\in T\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "Here, $300 MW$ is our contigency reserves, meant to ensure we have sufficient upwards ramping capability online and available to cover the unexpected loss of 300 MW worth of generation. \n",
    "\n",
    "The 5% of demand term in the constraints above is meant to provide sufficient reserves in either upwards or downwards direction to cover errors in the demand forecast. For simplicity, we ignore solar PV and wind production in our reserve calculation, though in practice, we would want to consider solar and wind forecast errors in calculating up reserve requirements as well.\n",
    "\n",
    "In our simple system, only thermal generators provide reserves. (This can be easily adjusted by changing the sets and defining the potential reserve contributions for different sets of resources differently, such as storage or hydro resources). The contribution of each generators to meeting reserves and the overall reserve constraint are thus given by:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    " & RESUP_{g,t} \\leq Pmax_{g,t}COMMIT_{g,t} - GEN_{g,t} & \\forall \\quad g \\in G_{thermal} , t \\in T \\\\\n",
    " & RESDN_{g,t} \\leq GEN_{g,t} - Pmin_{g,t}COMMIT_{g,t} & \\forall \\quad g \\in G_{thermal} , t \\in T \\\\\n",
    " & RESUP_{g,t} \\leq RampUp_{g} & \\forall \\quad g \\in G_{thermal}, t \\in T\\\\ \n",
    " & RESDN_{g,t} \\leq RampDn_{g} & \\forall \\quad g \\in G_{thermal}, t \\in T \\\\\n",
    " & \\sum_{g \\in G_{thermal}} RESUP_{g,t} \\geq ResReqUp_t & \\forall \\quad t \\in T \\\\\n",
    " & \\sum_{g \\in G_{thermal}} RESDN_{g,t} \\geq ResReqDn_t & \\forall \\quad t \\in T\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "We have added two new **decision variables**:\n",
    "\n",
    "- $RESUP_{g,t}$, up-reserve capacity (in MW) of generator $g$ at time $t$\n",
    "- $RESDN_{g,t}$, down-reserve capacity (in MW) of generator $g$ at time $t$\n",
    "\n",
    "Note that in this case, we constrain the reserve contribution for each thermal generator to be the same as their hourly ramp rates, $RampUp_{g}, RampDown_{g}$. In practice, reserve products typically require a faster response time, on the order of 10-30 minutes for \"tertiary\" reserves (aka spinning reserves or contingency reserves), and 5-15 minutes for \"secondary\" reserves (regulation reserves). Thus, depending on the reserve requirements being modeled, one might specify a distinct maximum reserve contribution for each unit that reflects their ramping capabilities over shorter time periods."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"img/reserves.png\" style=\"width: 450px; height: auto\" align=\"left\">\n",
    "\n",
    "<img src=\"img/reserves_taxonomy.png\" style=\"width: 450px; height: auto\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. Create solver function\n",
    "\n",
    "(We reuse steps 1 and 2 above to load packages and data.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "unit_commitment_full (generic function with 1 method)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#=\n",
    "Function to solve full unit commitment problem (commitment, ramp, reserve equations)\n",
    "Inputs:\n",
    "    gen_df -- dataframe with generator info\n",
    "    loads  -- load by time\n",
    "    gen_variable -- capacity factors of variable generators (in \"long\" format)\n",
    "=#\n",
    "function unit_commitment_full(gen_df, loads, gen_variable)\n",
    "    UC = Model(GLPK.Optimizer)\n",
    "    # To keep solve times to a few minutes, we increase the MIP gap tolerance\n",
    "    # in this more complex case to 2%. You can play with this setting to see \n",
    "    # how the MIP gap affects solve times on your computer.\n",
    "    set_optimizer_attribute(UC, \"mip_gap\", 0.02)\n",
    "\n",
    "    # Define sets based on data\n",
    "    # Note the creation of several different sets of generators for use in\n",
    "    # different equations.\n",
    "    G_thermal = gen_df[gen_df[!,:up_time] .> 0,:r_id]\n",
    "    G_nonthermal = gen_df[gen_df[!,:up_time] .== 0,:r_id]\n",
    "    G_var = gen_df[gen_df[!,:is_variable] .== 1,:r_id] \n",
    "    G_nonvar = gen_df[gen_df[!,:is_variable] .== 0,:r_id]\n",
    "    G_nt_nonvar = intersect(G_nonvar, G_nonthermal)\n",
    "    G = gen_df.r_id\n",
    "    T = loads.hour\n",
    "    T_red = loads.hour[1:end-1]  # reduced time periods without last one\n",
    "\n",
    "    # Generator capacity factor time series for variable generators\n",
    "    gen_var_cf = innerjoin(gen_variable, \n",
    "                    gen_df[gen_df.is_variable .== 1 , \n",
    "                        [:r_id, :gen_full, :existing_cap_mw, :resource]], \n",
    "                    on = :gen_full)\n",
    "    gen_var_cf.max_gen = gen_var_cf.cf .* gen_var_cf.existing_cap_mw\n",
    "    \n",
    "    # Compute reserve requirements\n",
    "    ResReqUp = Dict(T[i] => 300  \n",
    "              + 0.05 * loads[loads.hour .== T[i],:demand][1]\n",
    "                    for i in 1:length(T))\n",
    "    ResReqDn = Dict(T[i] => 0\n",
    "              + 0.05 * loads[loads.hour .== T[i],:demand][1]                    \n",
    "                    for i in 1:length(T))\n",
    "    \n",
    "    # Decision variables   \n",
    "    @variables(UC, begin\n",
    "        GEN[G, T]  >= 0     # generation\n",
    "        GENAUX[G_thermal, T] >= 0 # auxiliary generation variable\n",
    "        COMMIT[G_thermal, T], Bin # commitment status (Bin=binary)\n",
    "        START[G_thermal, T], Bin  # startup decision\n",
    "        SHUT[G_thermal, T], Bin   # shutdown decision\n",
    "        RESUP[G_thermal, T]       # up reserve capacity\n",
    "        RESDN[G_thermal, T]       # down reserve capacity\n",
    "    end)\n",
    "                \n",
    "    # Objective function\n",
    "    @objective(UC, Min, \n",
    "        sum( (gen_df[gen_df.r_id .== i,:heat_rate_mmbtu_per_mwh][1] * gen_df[gen_df.r_id .== i,:fuel_cost][1] +\n",
    "            gen_df[gen_df.r_id .== i,:var_om_cost_per_mwh][1]) * GEN[i,t] \n",
    "                        for i in G_nonvar for t in T) + \n",
    "        sum(gen_df[gen_df.r_id .== i,:var_om_cost_per_mwh][1] * GEN[i,t] \n",
    "                        for i in G_var for t in T) + \n",
    "        sum(gen_df[gen_df.r_id .== i,:start_cost_per_mw][1] * \n",
    "            gen_df[gen_df.r_id .== i,:existing_cap_mw][1] *\n",
    "            START[i,t] \n",
    "                        for i in G_thermal for t in T)\n",
    "    )\n",
    "    \n",
    "    # Demand constraint\n",
    "    @constraint(UC, cDemand[t in T], \n",
    "        sum(GEN[i,t] for i in G) == loads[loads.hour .== t,:demand][1])\n",
    "\n",
    "    # Capacity constraints (thermal generators requiring commitment)\n",
    "    @constraint(UC, Cap_thermal_min[i in G_thermal, t in T], \n",
    "        GEN[i,t] >= COMMIT[i, t] * gen_df[gen_df.r_id .== i,:existing_cap_mw][1] *\n",
    "                        gen_df[gen_df.r_id .== i,:min_power][1])\n",
    "    @constraint(UC, Cap_thermal_max[i in G_thermal, t in T], \n",
    "        GEN[i,t] <= COMMIT[i, t] * gen_df[gen_df.r_id .== i,:existing_cap_mw][1])\n",
    "\n",
    "    # Capacity constraints (non-variable generation not requiring commitment)\n",
    "    @constraint(UC, Cap_nt_nonvar[i in G_nt_nonvar, t in T], \n",
    "        GEN[i,t] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1])\n",
    "\n",
    "    # Capacity constraints (variable generation)\n",
    "    @constraint(UC, Cap_var[i in 1:nrow(gen_var_cf)], \n",
    "            GEN[gen_var_cf[i,:r_id], gen_var_cf[i,:hour] ] <= \n",
    "                        gen_var_cf[i,:max_gen])\n",
    "    \n",
    "    # Unit commitment constraints\n",
    "    @constraint(UC, Startup[i in G_thermal, t in T],\n",
    "        COMMIT[i, t] >= sum(START[i, tt] \n",
    "                        for tt in intersect(T,\n",
    "                            (t-gen_df[gen_df.r_id .== i,:up_time][1]):t)))\n",
    "\n",
    "    @constraint(UC, Shutdown[i in G_thermal, t in T],\n",
    "        1-COMMIT[i, t] >= sum(SHUT[i, tt] \n",
    "                        for tt in intersect(T,\n",
    "                            (t-gen_df[gen_df.r_id .== i,:down_time][1]):t)))\n",
    "    \n",
    "    @constraint(UC, CommitmentStatus[i in G_thermal, t in T_red],\n",
    "        COMMIT[i,t+1] - COMMIT[i,t] == START[i,t+1] - SHUT[i,t+1])\n",
    "    \n",
    "    # Auxiliary variable\n",
    "    @constraint(UC, AuxGen[i in G_thermal, t in T],\n",
    "        GENAUX[i,t] == GEN[i,t] - COMMIT[i, t] * gen_df[gen_df.r_id .== i,:existing_cap_mw][1] *\n",
    "                        gen_df[gen_df.r_id .== i,:min_power][1])\n",
    "    \n",
    "    # Ramp equations (thermal generators)\n",
    "    @constraint(UC, RampUp_thermal[i in G_thermal, t in T_red], \n",
    "        GENAUX[i,t+1] - GENAUX[i,t] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1] * \n",
    "                                 gen_df[gen_df.r_id .== i,:ramp_up_percentage][1] )\n",
    "\n",
    "    @constraint(UC, RampDn_thermal[i in G_thermal, t in T_red], \n",
    "        GENAUX[i,t] - GENAUX[i,t+1] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1] * \n",
    "                                 gen_df[gen_df.r_id .== i,:ramp_dn_percentage][1] )\n",
    "\n",
    "    # Ramp equations (non-thermal generators)\n",
    "    @constraint(UC, RampUp_nonthermal[i in G_nonthermal, t in T_red], \n",
    "        GEN[i,t+1] - GEN[i,t] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1] * \n",
    "                                 gen_df[gen_df.r_id .== i,:ramp_up_percentage][1] )\n",
    "\n",
    "    @constraint(UC, RampDn[i in G, t in T_red], \n",
    "        GEN[i,t] - GEN[i,t+1] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1] * \n",
    "                                 gen_df[gen_df.r_id .== i,:ramp_dn_percentage][1] )\n",
    "      \n",
    "    # Reserve equations\n",
    "    # (1) Reserves limited by committed capacity of generator\n",
    "    @constraint(UC, ResUpCap[i in G_thermal, t in T],\n",
    "        RESUP[i,t] <= COMMIT[i, t] * gen_df[gen_df.r_id .== i,:existing_cap_mw][1]\n",
    "                        - GEN[i,t])\n",
    "\n",
    "    @constraint(UC, ResDnCap[i in G_thermal, t in T],\n",
    "        RESDN[i,t] <= GEN[i,t] - \n",
    "                        COMMIT[i, t] * gen_df[gen_df.r_id .== i,:existing_cap_mw][1] *\n",
    "                        gen_df[gen_df.r_id .== i,:min_power][1])\n",
    "\n",
    "    # (2) Reserves limited by ramp rates\n",
    "    @constraint(UC, ResUpRamp[i in G_thermal, t in T],\n",
    "        RESUP[i,t] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1] * \n",
    "                          gen_df[gen_df.r_id .== i,:ramp_up_percentage][1])\n",
    "\n",
    "    @constraint(UC, ResDnRamp[i in G_thermal, t in T],\n",
    "        RESDN[i,t] <= gen_df[gen_df.r_id .== i,:existing_cap_mw][1] * \n",
    "                          gen_df[gen_df.r_id .== i,:ramp_dn_percentage][1])\n",
    "\n",
    "    # (3) Overall reserve requirements\n",
    "    @constraint(UC, ResUpRequirement[t in T],\n",
    "        sum(RESUP[i,t] for i in G_thermal) >= \n",
    "                ResReqUp[t])\n",
    "\n",
    "    @constraint(UC, ResDnRequirement[t in T],\n",
    "        sum(RESDN[i,t] for i in G_thermal) >= \n",
    "                ResReqDn[t])\n",
    "\n",
    "    # Solve statement (! indicates runs in place)\n",
    "    optimize!(UC)\n",
    "\n",
    "    # Generation solution\n",
    "    gen = value_to_df_2dim(value.(GEN))\n",
    "\n",
    "    # Commitment status solution\n",
    "    commit = value_to_df_2dim(value.(COMMIT))\n",
    "\n",
    "    # Calculate curtailment\n",
    "    curtail = innerjoin(gen_var_cf, gen, on = [:r_id, :hour])\n",
    "    curtail.curt = curtail.cf .* curtail.existing_cap_mw - curtail.gen\n",
    "    \n",
    "    # Return the solution and objective as named tuple\n",
    "    return (\n",
    "        gen,\n",
    "        commit,\n",
    "        curtail,\n",
    "        cost = objective_value(UC),\n",
    "        status = termination_status(UC)\n",
    "    )\n",
    "\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4. Solve the model and plot results\n",
    "\n",
    "**Note: this might take a little while depending on your machine.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v4+json": {
       "data": {
        "values": [
         {
          "gen_sum": 21.4,
          "hour": 0,
          "resource": "biomass"
         },
         {
          "gen_sum": 42,
          "hour": 0,
          "resource": "hydroelectric_pumped_storage"
         },
         {
          "gen_sum": 1286.0224680000001,
          "hour": 0,
          "resource": "natural_gas_fired_combined_cycle"
         },
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fill=\"#9467bd\"/></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g><g transform=\"translate(0,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h200v200h-200Z\"/><g><g class=\"mark-area role-mark marks\" role=\"graphics-object\" aria-roledescription=\"area mark container\"><path aria-label=\"hour: 0; gen_sum: 0; resource: _curtailment\" role=\"graphics-symbol\" aria-roledescription=\"area mark\" d=\"M0,107.71428571428572L8.333333333333332,111.25714285714285L16.666666666666664,113.25714285714285L25,110.74285714285715L33.33333333333333,100.97142857142858L41.66666666666667,87.08571428571427L50,68.16114285714283L58.333333333333336,44.019428571428556L66.66666666666666,21.453714285714298L75,7.518857142857138L83.33333333333334,0.7234285714285527L91.66666666666666,9.637714285714294L100,11.638367314285691L108.33333333333333,10.92756502857144L116.66666666666667,17.07678560000001L125,29.217960457142865L133.33333333333331,45.56114285714283L141.66666666666669,53.24799999999996L150,62.478857142857166L158.33333333333331,57.085714285714296L166.66666666666669,56.800000000000004L175,70.97142857142858L183.33333333333331,86.4L191.66666666666669,99.42857142857142L191.66666666666669,99.42857142857142L183.33333333333331,86.4L175,70.97142857142858L166.66666666666669,56.800000000000004L158.33333333333331,57.085714285714296L150,62.478857142857166L141.66666666666669,53.24799999999996L133.33333333333331,45.56114285714283L125,38.645714285714305L116.66666666666667,31.288000000000004L108.33333333333333,25.525714285714308L100,21.156571428571414L91.66666666666666,9.637714285714294L83.33333333333334,0.7234285714285527L75,7.518857142857138L66.66666666666666,21.453714285714298L58.333333333333336,44.019428571428556L50,68.16114285714283L41.66666666666667,87.08571428571427L33.33333333333333,100.97142857142858L25,110.74285714285715L16.666666666666664,113.25714285714285L8.333333333333332,111.25714285714285L0,107.71428571428572Z\" fill=\"#1f77b4\"/></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g></g><g class=\"mark-group role-legend\" role=\"graphics-symbol\" aria-roledescription=\"legend\" aria-label=\"Symbol legend titled 'resource' for fill color with 9 values: _curtailment, _onshore_wind_turbine, _small_hydroelectric, _solar_photovoltaic, _solar_photovoltaic_btm, ending with natural_gas_fired_combustion_turbine\"><g transform=\"translate(218,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v131h-175Z\" pointer-events=\"none\"/><g><g class=\"mark-group role-legend-entry\"><g transform=\"translate(0,16)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h0v0h0Z\" pointer-events=\"none\"/><g><g class=\"mark-group role-scope\" role=\"graphics-object\" aria-roledescription=\"group mark container\"><g transform=\"translate(0,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#1f77b4\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_curtailment</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,13)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#ff7f0e\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_onshore_wind_turbine</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,26)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#2ca02c\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_small_hydroelectric</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,39)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#d62728\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_solar_photovoltaic</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,52)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#9467bd\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">_solar_photovoltaic_btm</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,65)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#8c564b\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">biomass</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,78)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#e377c2\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">hydroelectric_pumped_storage</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,91)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#7f7f7f\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">natural_gas_fired_combined_cy…</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,104)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#bcbd22\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">natural_gas_fired_combustion_t…</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g><g class=\"mark-text role-legend-title\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(0,9)\" font-family=\"sans-serif\" font-size=\"11px\" font-weight=\"bold\" fill=\"#000\" opacity=\"1\">resource</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g></g></g></svg>\n"
      ],
      "text/plain": [
       "@vlplot(\n",
       "    mark=\"area\",\n",
       "    encoding={\n",
       "        x={\n",
       "            field=\"hour\"\n",
       "        },\n",
       "        y={\n",
       "            stack=\"zero\",\n",
       "            field=\"gen_sum\"\n",
       "        },\n",
       "        color={\n",
       "            scale={\n",
       "                scheme=\"category10\"\n",
       "            },\n",
       "            field=\"resource\",\n",
       "            type=\"nominal\"\n",
       "        }\n",
       "    },\n",
       "    data={\n",
       "        values=...\n",
       "    }\n",
       ")"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "solution = unit_commitment_full(gen_df_sens, loads_multi, gen_variable_multi);\n",
    "\n",
    "# Add in BTM solar and curtailment and plot results\n",
    "\n",
    "sol_gen = innerjoin(solution.gen, \n",
    "                    gen_df[!, [:r_id, :resource]], \n",
    "                    on = :r_id)\n",
    "sol_gen = combine(groupby(sol_gen, [:resource, :hour]), \n",
    "            :gen => sum)\n",
    "\n",
    "# Rename generators (for plotting purposes)\n",
    "sol_gen[sol_gen.resource .== \"solar_photovoltaic\", :resource] .= \"_solar_photovoltaic\"\n",
    "sol_gen[sol_gen.resource .== \"onshore_wind_turbine\", :resource] .= \"_onshore_wind_turbine\"\n",
    "sol_gen[sol_gen.resource .== \"small_hydroelectric\", :resource] .= \"_small_hydroelectric\"\n",
    "\n",
    "# BTM solar\n",
    "btm = DataFrame(resource = repeat([\"_solar_photovoltaic_btm\"]; outer=length(T_period)), \n",
    "    hour = T_period,\n",
    "    gen_sum = gen_variable_multi[gen_variable_multi.gen_full .== \"wec_sdge_solar_photovoltaic_1.0\",:cf] * 600)\n",
    "append!(sol_gen, btm)\n",
    "\n",
    "# Curtailment\n",
    "curtail = combine(groupby(solution.curtail, [:hour]),\n",
    "            :curt => sum)\n",
    "curtail[!, :resource] .= \"_curtailment\"\n",
    "rename!(curtail, :curt_sum => :gen_sum)\n",
    "append!(sol_gen, curtail[:,[:resource, :hour, :gen_sum]])\n",
    "\n",
    "# Rescale hours\n",
    "sol_gen.hour = sol_gen.hour .- T_period[1]\n",
    "\n",
    "sol_gen |>\n",
    "@vlplot(:area, \n",
    "    x=:hour, y={:gen_sum, stack=:zero}, \n",
    "    color={\"resource:n\", scale={scheme=\"category10\"}})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now see that the need to maintain reserve requirements leads to greater commitment of natural gas units throughout the day. The addition of CCGTs and GTs to meet reserve requirements leads to greater curtailment of wind and solar in the afternoon hours. We also see more CT units committed during the morning ramp as well as the afternoon hours to help provide reserves."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v4+json": {
       "data": {
        "values": [
         {
          "gen_sum": 6,
          "hour": 0,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 3,
          "hour": 0,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 1,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 3,
          "hour": 1,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 2,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 2,
          "hour": 2,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 3,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 2,
          "hour": 3,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 4,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 2,
          "hour": 4,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 5,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 5,
          "hour": 5,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 6,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 6,
          "hour": 6,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 7,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 3,
          "hour": 7,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 5,
          "hour": 8,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 1,
          "hour": 8,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 9,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 1,
          "hour": 9,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 10,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 1,
          "hour": 10,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 11,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 11,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 12,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 12,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 13,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 13,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 14,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 14,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 15,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 15,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 16,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 0,
          "hour": 16,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 4,
          "hour": 17,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 3,
          "hour": 17,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 18,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 7,
          "hour": 18,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 19,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 11,
          "hour": 19,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 20,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 10,
          "hour": 20,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 21,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 6,
          "hour": 21,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 22,
          "resource": "natural_gas_fired_combined_cycle"
         },
         {
          "gen_sum": 3,
          "hour": 22,
          "resource": "natural_gas_fired_combustion_turbine"
         },
         {
          "gen_sum": 6,
          "hour": 23,
          "resource": "natural_gas_fired_combined_cycle"
         },
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          "gen_sum": 1,
          "hour": 23,
          "resource": "natural_gas_fired_combustion_turbine"
         }
        ]
       },
       "encoding": {
        "color": {
         "field": "resource",
         "scale": {
          "scheme": "category10"
         },
         "type": "nominal"
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        "x": {
         "field": "hour",
         "type": "quantitative"
        },
        "y": {
         "field": "gen_sum",
         "stack": "zero",
         "type": "quantitative"
        }
       },
       "mark": "area"
      },
      "image/png": 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class=\"mark-rule role-axis-domain\" pointer-events=\"none\"><line transform=\"translate(0,200)\" x2=\"0\" y2=\"-200\" stroke=\"#888\" stroke-width=\"1\" opacity=\"1\"/></g><g class=\"mark-text role-axis-title\" pointer-events=\"none\"><text text-anchor=\"middle\" transform=\"translate(-23,100) rotate(-90) translate(0,-2)\" font-family=\"sans-serif\" font-size=\"11px\" font-weight=\"bold\" fill=\"#000\" opacity=\"1\">gen_sum</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g><g class=\"mark-group role-scope pathgroup\" role=\"graphics-object\" aria-roledescription=\"group mark container\"><g transform=\"translate(0,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h200v200h-200Z\"/><g><g class=\"mark-area role-mark marks\" role=\"graphics-object\" aria-roledescription=\"area mark container\"><path aria-label=\"hour: 0; gen_sum: 6; resource: natural_gas_fired_combined_cycle\" role=\"graphics-symbol\" aria-roledescription=\"area mark\" d=\"M0,100L8.333333333333332,100L16.666666666666664,111.11111111111111L25,111.11111111111111L33.33333333333333,111.11111111111111L41.66666666666667,77.77777777777777L50,66.66666666666667L58.333333333333336,100L66.66666666666666,133.33333333333334L75,144.44444444444443L83.33333333333334,144.44444444444443L91.66666666666666,155.55555555555557L100,155.55555555555557L108.33333333333333,155.55555555555557L116.66666666666667,155.55555555555557L125,155.55555555555557L133.33333333333331,155.55555555555557L141.66666666666669,122.22222222222223L150,55.55555555555556L158.33333333333331,11.111111111111116L166.66666666666669,22.222222222222232L175,66.66666666666667L183.33333333333331,100L191.66666666666669,122.22222222222223L191.66666666666669,188.88888888888889L183.33333333333331,166.66666666666669L175,133.33333333333334L166.66666666666669,88.88888888888889L158.33333333333331,77.77777777777777L150,122.22222222222223L141.66666666666669,166.66666666666669L133.33333333333331,200L125,200L116.66666666666667,200L108.33333333333333,200L100,200L91.66666666666666,200L83.33333333333334,188.88888888888889L75,188.88888888888889L66.66666666666666,188.88888888888889L58.333333333333336,166.66666666666669L50,133.33333333333334L41.66666666666667,144.44444444444443L33.33333333333333,177.77777777777777L25,177.77777777777777L16.666666666666664,177.77777777777777L8.333333333333332,166.66666666666669L0,166.66666666666669Z\" fill=\"#1f77b4\"/></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g><g transform=\"translate(0,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h200v200h-200Z\"/><g><g class=\"mark-area role-mark marks\" role=\"graphics-object\" aria-roledescription=\"area mark container\"><path aria-label=\"hour: 0; gen_sum: 3; resource: natural_gas_fired_combustion_turbine\" role=\"graphics-symbol\" aria-roledescription=\"area mark\" d=\"M0,166.66666666666669L8.333333333333332,166.66666666666669L16.666666666666664,177.77777777777777L25,177.77777777777777L33.33333333333333,177.77777777777777L41.66666666666667,144.44444444444443L50,133.33333333333334L58.333333333333336,166.66666666666669L66.66666666666666,188.88888888888889L75,188.88888888888889L83.33333333333334,188.88888888888889L91.66666666666666,200L100,200L108.33333333333333,200L116.66666666666667,200L125,200L133.33333333333331,200L141.66666666666669,166.66666666666669L150,122.22222222222223L158.33333333333331,77.77777777777777L166.66666666666669,88.88888888888889L175,133.33333333333334L183.33333333333331,166.66666666666669L191.66666666666669,188.88888888888889L191.66666666666669,200L183.33333333333331,200L175,200L166.66666666666669,200L158.33333333333331,200L150,200L141.66666666666669,200L133.33333333333331,200L125,200L116.66666666666667,200L108.33333333333333,200L100,200L91.66666666666666,200L83.33333333333334,200L75,200L66.66666666666666,200L58.333333333333336,200L50,200L41.66666666666667,200L33.33333333333333,200L25,200L16.666666666666664,200L8.333333333333332,200L0,200Z\" fill=\"#ff7f0e\"/></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g></g><g class=\"mark-group role-legend\" role=\"graphics-symbol\" aria-roledescription=\"legend\" aria-label=\"Symbol legend titled 'resource' for fill color with 2 values: natural_gas_fired_combined_cycle, natural_gas_fired_combustion_turbine\"><g transform=\"translate(218,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v40h-175Z\" pointer-events=\"none\"/><g><g class=\"mark-group role-legend-entry\"><g transform=\"translate(0,16)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h0v0h0Z\" pointer-events=\"none\"/><g><g class=\"mark-group role-scope\" role=\"graphics-object\" aria-roledescription=\"group mark container\"><g transform=\"translate(0,0)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#1f77b4\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">natural_gas_fired_combined_cy…</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g><g transform=\"translate(0,13)\"><path class=\"background\" aria-hidden=\"true\" d=\"M0,0h175v11h-175Z\" pointer-events=\"none\" opacity=\"1\"/><g><g class=\"mark-symbol role-legend-symbol\" pointer-events=\"none\"><path transform=\"translate(6,6)\" d=\"M5,0A5,5,0,1,1,-5,0A5,5,0,1,1,5,0\" fill=\"#ff7f0e\" stroke-width=\"1.5\" opacity=\"1\"/></g><g class=\"mark-text role-legend-label\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(16,9)\" font-family=\"sans-serif\" font-size=\"10px\" fill=\"#000\" opacity=\"1\">natural_gas_fired_combustion_t…</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g><g class=\"mark-text role-legend-title\" pointer-events=\"none\"><text text-anchor=\"start\" transform=\"translate(0,9)\" font-family=\"sans-serif\" font-size=\"11px\" font-weight=\"bold\" fill=\"#000\" opacity=\"1\">resource</text></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" pointer-events=\"none\" display=\"none\"/></g></g></g><path class=\"foreground\" aria-hidden=\"true\" d=\"\" display=\"none\"/></g></g></g></svg>\n"
      ],
      "text/plain": [
       "@vlplot(\n",
       "    mark=\"area\",\n",
       "    encoding={\n",
       "        x={\n",
       "            field=\"hour\"\n",
       "        },\n",
       "        y={\n",
       "            stack=\"zero\",\n",
       "            field=\"gen_sum\"\n",
       "        },\n",
       "        color={\n",
       "            scale={\n",
       "                scheme=\"category10\"\n",
       "            },\n",
       "            field=\"resource\",\n",
       "            type=\"nominal\"\n",
       "        }\n",
       "    },\n",
       "    data={\n",
       "        values=...\n",
       "    }\n",
       ")"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sol_commit = innerjoin(solution.commit, \n",
    "                    gen_df[!, [:r_id, :resource]], \n",
    "                    on = :r_id)\n",
    "sol_commit = combine(groupby(sol_commit, [:resource, :hour]), \n",
    "            :gen => sum)\n",
    "sol_commit.hour = sol_commit.hour .- T_period[1]\n",
    "\n",
    "sol_commit |>\n",
    "@vlplot(:area, \n",
    "    x=:hour, y={:gen_sum, stack=:zero}, \n",
    "    color={\"resource:n\", scale={scheme=\"category10\"}})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Further resources\n",
    "\n",
    "Knueven, B., Ostrowski, J., & Watson, J.-P. (2019). On Mixed Integer Programming Formulations for the Unit Commitment Problem. Optimization Online, 91. http://www.optimization-online.org/DB_FILE/2018/11/6930.pdf\n",
    "\n",
    "Morales-Espana, G., Latorre, J. M., & Ramos, A. (2013). Tight and Compact MILP Formulation of Start-Up and Shut-Down Ramping in Unit Commitment. IEEE Transactions on Power Systems, 28(2), 1288–1296. https://doi.org/10.1109/TPWRS.2012.2222938\n",
    "\n",
    "Morales-España, G., Ramírez-Elizondo, L., & Hobbs, B. F. (2017). Hidden power system inflexibilities imposed by traditional unit commitment formulations. Applied Energy, 191, 223–238. https://doi.org/10.1016/j.apenergy.2017.01.089\n",
    "\n",
    "Ostrowski, J., Anjos, M. F., & Vannelli, A. (2012). Tight Mixed Integer Linear Programming Formulations for the Unit Commitment Problem. IEEE Transactions on Power Systems, 27(1), 39–46. https://doi.org/10.1109/TPWRS.2011.2162008"
   ]
  }
 ],
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