{ "cells": [ { "cell_type": "markdown", "id": "dcf8c56f", "metadata": {}, "source": [ "(reserve-example)=\n", "# Reserve capacity allocation\n", "\n", "The model setup for the reserve capacity examples presented below are available in the following formats.\n", "\n", "- pyshop\n", " - [reserve.py](reserve-cap-py)\n", "- YAML\n", " - [model.yaml](reserve-model-yaml)\n", " - [reserve_obligation.yaml](reserve-obligation-yaml)\n", " - [smooth_reserve.yaml](smooth-reserve-yaml)\n", "- ASCII\n", " - [model.ascii](reserve-model-ascii)\n", " - [reserve_obligation.ascii](reserve-obligation-ascii)\n", " - [smooth_reserve.ascii](smooth-reserve-ascii)" ] }, { "cell_type": "markdown", "id": "ea014f7f", "metadata": {}, "source": [ "## Optimal distribution of reserve capacity\n", "A simple system with 6 [generators](generator) located on two separate [plants](plant) will be used to illustrate the basic features of the [reserve_group object](reserve_group) and the basic reserve functionality in SHOP. First, we create and run the basic model without any reserve requirements." ] }, { "cell_type": "code", "execution_count": 1, "id": "f59febdc", "metadata": {}, "outputs": [], "source": [ "#Necessary imports used in all examples\n", "import pandas as pd\n", "from pyshop import ShopSession\n", "import plotly.graph_objects as go\n", "import plotly.express as px\n", "from plotly.subplots import make_subplots\n", "pd.options.plotting.backend = \"plotly\"\n", "\n", "#Functions used in this example for building and solving a simple model with cuts\n", "from reserve import build_model, run_model" ] }, { "cell_type": "code", "execution_count": 2, "id": "e08ba3c5", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "\n", "reservoir_Reservoir1\n", "\n", "Reservoir1\n", "\n", "\n", "\n", "plant_Plant1\n", "\n", "Plant1\n", "\n", "\n", "\n", "reservoir_Reservoir1->plant_Plant1\n", "\n", "\n", "\n", "\n", "reservoir_Reservoir2\n", "\n", "Reservoir2\n", "\n", "\n", "\n", "plant_Plant2\n", "\n", "Plant2\n", "\n", "\n", "\n", "reservoir_Reservoir2->plant_Plant2\n", "\n", "\n", "\n", "\n", "plant_Plant1->reservoir_Reservoir2\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "alignmentgroup": "True", "hovertemplate": "variable=Plant1_G1
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Create a standard ShopSession\n", "shop=ShopSession()\n", "#Build a simple model with two reservoirs, two plants, and 6 generators.\n", "build_model(shop)\n", "#Display topology to the screen\n", "display(shop.model.build_connection_tree())\n", "\n", "#Run an optimization without any reserve obligations\n", "run_model(shop)\n", "#Display the optimal production level\n", "pd.DataFrame([gen.production.get().rename(gen.get_name()) for gen in shop.model.generator]).transpose().plot.bar(title=\"Production without reserve requirement\")" ] }, { "cell_type": "markdown", "id": "7fd95a75", "metadata": {}, "source": [ "Now we create an identical SHOP model but add two reserve_group objects with some specified FCR-N and FRR reserve obligations. All generators are part of the FCR-N group and can help cover the given [fcr_n_up_obligation](reserve_group:fcr_n_up_obligation) and [fcr_n_down_obligation](reserve_group:fcr_n_down_obligation). Only the generators in Plant2 are part of the FRR group and have to cover the [frr_up_obligation](reserve_group:frr_up_obligation) without help from the other generators in Plant1." ] }, { "cell_type": "code", "execution_count": 3, "id": "8a5b0d03", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "alignmentgroup": "True", "hovertemplate": "variable=Plant1_G1
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Create a new shop session\n", "shop=ShopSession()\n", "build_model(shop)\n", "\n", "#Add two reserve_group objects to the original model\n", "fcr_n = shop.model.reserve_group.add_object(\"fcr_n_group\")\n", "fcr_n.fcr_n_up_obligation.set(10)\n", "fcr_n.fcr_n_down_obligation.set(10)\n", "\n", "frr = shop.model.reserve_group.add_object(\"frr_group\")\n", "frr.frr_up_obligation.set(15)\n", "\n", "#Connect all generators to the fcr_n group\n", "for gen in shop.model.generator:\n", " gen.connect_to(fcr_n)\n", "\n", "#Connect only the generators in Plant2 to the frr group\n", "plant2 = shop.model.plant.Plant2 \n", "for gen in plant2.generators:\n", " gen.connect_to(frr) \n", " \n", "#Optimize model\n", "run_model(shop) \n", "\n", "#Plot the resulting optimized production schedules\n", "pd.DataFrame([gen.production.get().rename(gen.get_name()) for gen in shop.model.generator]).transpose().plot.bar(title=\"Production with reserve requirement\")" ] }, { "cell_type": "markdown", "id": "929c0f57", "metadata": {}, "source": [ "The optimal production set points have shifted for some of the generators due to the new reserve capacity obligations. The plots below show how the reserve capacity has been distributed among the generators." ] }, { "cell_type": "code", "execution_count": 4, "id": "7bc8cdc6", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "legendgroup": "Plant1_G1", "marker": { "color": "#636EFA" }, "name": "Plant1_G1", "type": "bar", "x": [ "2018-01-23T00:00:00", "2018-01-23T01:00:00", "2018-01-23T02:00:00", "2018-01-23T03:00:00", "2018-01-23T04:00:00", "2018-01-23T05:00:00", "2018-01-23T06:00:00", "2018-01-23T07:00:00", "2018-01-23T08:00:00", "2018-01-23T09:00:00", "2018-01-23T10:00:00", "2018-01-23T11:00:00", "2018-01-23T12:00:00", "2018-01-23T13:00:00", "2018-01-23T14:00:00", "2018-01-23T15:00:00", "2018-01-23T16:00:00", "2018-01-23T17:00:00", "2018-01-23T18:00:00", "2018-01-23T19:00:00", "2018-01-23T20:00:00", "2018-01-23T21:00:00", "2018-01-23T22:00:00", "2018-01-23T23:00:00", "2018-01-24T00:00:00", 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= df_frr_up.columns.tolist()\n", "colors = px.colors.qualitative.Plotly\n", "color_map = {gen: colors[i % len(colors)] for i, gen in enumerate(generators)}\n", "\n", "for col in df_frr_up.columns:\n", " fig.add_trace(go.Bar(x=df_frr_up.index, y=df_frr_up [col], name=col, marker_color=color_map[col], legendgroup=col), row=1, col=1)\n", " fig.add_trace(go.Bar(x=df_fcr_n_up.index, y=df_fcr_n_up [col], name=col, marker_color=color_map[col], legendgroup=col, showlegend=False), row=2, col=1)\n", " fig.add_trace(go.Bar(x=df_fcr_n_down.index, y=df_fcr_n_down[col], name=col, marker_color=color_map[col], legendgroup=col, showlegend=False), row=3, col=1)\n", "\n", "fig.update_traces(legendgrouptitle_text=None, selector=dict())\n", "fig.show()\n" ] }, { "cell_type": "markdown", "id": "bbaba7e0", "metadata": {}, "source": [ "Note that the FCR-N reserve capacity is not always symmetric since no [fcr_n_equality_flag](global_settings:fcr_n_equality_flag) on the [global_settings object](global_settings) (or equivalent command) has been specified. \n", "\n", "The following plots give a more detailed look at the individual generator production and reserve capacity results:" ] }, { "cell_type": "code", "execution_count": 5, "id": "b27b19f5", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "black", "dash": "dash", "shape": "hv", "width": 1 }, "name": "P_min", "type": "scatter", "x": [ "2018-01-23T00:00:00", "2018-01-23T01:00:00", "2018-01-23T02:00:00", "2018-01-23T03:00:00", "2018-01-23T04:00:00", "2018-01-23T05:00:00", "2018-01-23T06:00:00", "2018-01-23T07:00:00", "2018-01-23T08:00:00", "2018-01-23T09:00:00", "2018-01-23T10:00:00", "2018-01-23T11:00:00", "2018-01-23T12:00:00", "2018-01-23T13:00:00", "2018-01-23T14:00:00", "2018-01-23T15:00:00", "2018-01-23T16:00:00", "2018-01-23T17:00:00", "2018-01-23T18:00:00", "2018-01-23T19:00:00", 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