%3

{ "cells": [ { "cell_type": "markdown", "id": "c647e756", "metadata": {}, "source": [ "(battery_reserves)=\n", "# Reserves on batteries" ] }, { "cell_type": "markdown", "id": "6978fc95", "metadata": {}, "source": [ "This example illustrates how [batteries](battery) can be used together with the [reserve](reserves) functionality in SHOP.\n", "\n", "The model setup for this example is available in the following format:\n", "- pyshop\n", " - [](battery.py)" ] }, { "cell_type": "code", "execution_count": 1, "id": "b0c5e19e", "metadata": {}, "outputs": [], "source": [ "#Necessary imports used in all examples\n", "import numpy as np\n", "import pandas as pd\n", "import plotly.graph_objs as go\n", "from plotly.subplots import make_subplots\n", "from pyshop import ShopSession\n", "\n", "#Functions used in this example for building a basic SHOP model and running it\n", "from battery import build_model, run_model\n" ] }, { "cell_type": "markdown", "id": "8dad3a89", "metadata": {}, "source": [ "## Create SHOP session and import basic model\n", "\n", "Our example model consists of two [reservoirs](reservoir) and two [plants](plant) with one [generator](generator) each." ] }, { "cell_type": "code", "execution_count": 2, "id": "169e5da6", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Create a standard ShopSession\n", "shop=ShopSession()\n", "#Build a basic SHOP model\n", "build_model(shop)\n", "#Display topology to the screen\n", "display(shop.model.build_connection_tree())" ] }, { "cell_type": "markdown", "id": "95922bec", "metadata": {}, "source": [ "## Add reserve group and reserve obligations\n", "We add a [reserve group](reserve_group), and connect both generators to it. We also specify the different types of reserve obligations." ] }, { "cell_type": "code", "execution_count": 3, "id": "f54c55ae", "metadata": {}, "outputs": [], "source": [ "#Add reserve group\n", "RG = shop.model.reserve_group.add_object('RG')\n", "\n", "#Add reserve obligations\n", "RG.fcr_n_up_obligation.set(5)\n", "RG.fcr_n_down_obligation.set(2)\n", "RG.frr_up_obligation.set(2)\n", "RG.frr_down_obligation.set(1)\n", "\n", "#Connect the generators to the reserve group\n", "for i, gen in enumerate(shop.model.generator):\n", " gen.connect_to(RG)" ] }, { "cell_type": "markdown", "id": "003eccec", "metadata": {}, "source": [ "## Run SHOP\n", "We run the model without any battery for later comparison." ] }, { "cell_type": "code", "execution_count": 4, "id": "2559f682", "metadata": {}, "outputs": [], "source": [ "#Run SHOP\n", "run_model(shop)" ] }, { "cell_type": "markdown", "id": "62cb64ae", "metadata": {}, "source": [ "## Reserve capacity without battery\n", "The plot below shows the production of each generator with the added reserve obligations, compared to the [market](market) price. We see that the generator at plant 1 remains turned on during periods when the price is low. This is due to the down delivery obligations and the fcr-up obligation." ] }, { "cell_type": "code", "execution_count": 5, "id": "bff18d90", "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "marker": { "color": "black" }, "name": "Price", "type": "scatter", "x": [ "2018-02-27T00:00:00", "2018-02-27T01:00:00", "2018-02-27T02:00:00", "2018-02-27T03:00:00", "2018-02-27T04:00:00", "2018-02-27T05:00:00", "2018-02-27T06:00:00", "2018-02-27T07:00:00", "2018-02-27T08:00:00", "2018-02-27T09:00:00", "2018-02-27T10:00:00", "2018-02-27T11:00:00", "2018-02-27T12:00:00", "2018-02-27T13:00:00", "2018-02-27T14:00:00", "2018-02-27T15:00:00", "2018-02-27T16:00:00", "2018-02-27T17:00:00", "2018-02-27T18:00:00", "2018-02-27T19:00:00", "2018-02-27T20:00:00", "2018-02-27T21:00:00", "2018-02-27T22:00:00", "2018-02-27T23:00:00" 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "colors=[\"skyblue\", \"steelblue\"]\n", "\n", "#Get market price data\n", "price=shop.model.market.Day_ahead.sale_price.get()\n", "\n", "#Plot production and price\n", "fig = make_subplots(specs=[[{\"secondary_y\": True}]])\n", "fig.update_layout(barmode=\"stack\", title=\"Price and production\")\n", "fig.add_trace(go.Scatter(x=price.index, y=price.values, name=\"Price\", marker=dict(color=\"black\")), secondary_y=True)\n", "fig.update_yaxes(title_text=\"Price\", secondary_y=True)\n", "fig.update_yaxes(title_text=\"Production\", secondary_y=False)\n", "fig.update_xaxes(tickformat=\"%H:%M\")\n", "for i, gen in enumerate(shop.model.generator):\n", " data=gen.production.get()\n", " fig.add_trace(go.Bar(x=data.index, y=data.values, name=f'Production {gen.get_name()}', marker=dict(color=colors[i])), secondary_y=False)\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "6397901d", "metadata": {}, "source": [ "The plot 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Plot reserve market deliveries\n", "fig = make_subplots(rows=2, cols=2, start_cell=\"top-left\", subplot_titles=(\"FRR up delivery\", \"FRR down delivery\", \"FCR-n up delivery\", \"FCR-n down delivery\"))\n", "fig.update_layout(barmode=\"stack\")\n", "fig.update_yaxes(title_text=\"Production\", row=1, col=1)\n", "fig.update_yaxes(title_text=\"Production\", row=2, col=1)\n", "fig.update_xaxes(tickformat=\"%H:%M\")\n", "for i, gen in enumerate(shop.model.generator):\n", " fig.add_trace(go.Bar(x=gen.frr_up_delivery.get().index, y=gen.frr_up_delivery.get().values, name=gen.get_name(), marker=dict(color=colors[i])), row=1, col=1)\n", " fig.add_trace(go.Bar(x=gen.frr_down_delivery.get().index, y=gen.frr_down_delivery.get().values, showlegend=False, marker=dict(color=colors[i])), row=1, col=2)\n", " fig.add_trace(go.Bar(x=gen.fcr_n_up_delivery.get().index, y=gen.fcr_n_up_delivery.get().values, showlegend=False, marker=dict(color=colors[i])), row=2, col=1)\n", " fig.add_trace(go.Bar(x=gen.fcr_n_down_delivery.get().index, y=gen.fcr_n_down_delivery.get().values, showlegend=False, marker=dict(color=colors[i])), row=2, col=2)\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "86e36de3", "metadata": {}, "source": [ "## Add battery and rerun model\n", "We will now add a [battery](battery) to our model and connect it to the reserve group. We then rerun shop." ] }, { "cell_type": "code", "execution_count": 7, "id": "2b3493ba", "metadata": {}, "outputs": [], "source": [ "#Create a standard ShopSession\n", "shop2=ShopSession()\n", "#Build a basic SHOP model\n", "build_model(shop2)\n", "\n", "#Add reserve group \n", "RG = shop2.model.reserve_group.add_object('RG')\n", "\n", "#Add reserve obligations\n", "RG.fcr_n_up_obligation.set(5)\n", "RG.fcr_n_down_obligation.set(2)\n", "RG.frr_up_obligation.set(2)\n", "RG.frr_down_obligation.set(1)\n", "\n", "#Connect the generators to the reserve group\n", "for i, gen in enumerate(shop2.model.generator):\n", " gen.connect_to(RG)\n", "\n", "#Add battery\n", "battery = shop2.model.battery.add_object('Battery')\n", "battery.charge_efficiency.set(0.95)\n", "battery.discharge_efficiency.set(0.95)\n", "battery.max_charge_power.set(6.0)\n", "battery.max_discharge_power.set(6.0)\n", "battery.max_energy.set(12.0)\n", "battery.initial_energy.set(0.5)\n", "battery.connect_to(shop2.model.busbar.Busbar)\n", "shop2.model.battery.Battery.connect_to(RG)\n", "\n", "#Run SHOP\n", "run_model(shop2)" ] }, { "cell_type": "markdown", "id": "7e46825c", "metadata": {}, "source": [ "## Reserve capacity with battery\n", "The first plot below shows the [generator production](generator:production) and the [battery net discharge](battery:net_power_discharge) with the added reserve obligations. In contrast to the above example, we see that both generators can now be turned off during low price periods." ] }, { "cell_type": "code", "execution_count": 8, "id": "f3045c5e", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "marker": { "color": "black" }, "name": "Price", "type": "scatter", "x": [ "2018-02-27T00:00:00", "2018-02-27T01:00:00", "2018-02-27T02:00:00", "2018-02-27T03:00:00", "2018-02-27T04:00:00", "2018-02-27T05:00:00", "2018-02-27T06:00:00", "2018-02-27T07:00:00", "2018-02-27T08:00:00", "2018-02-27T09:00:00", "2018-02-27T10:00:00", "2018-02-27T11:00:00", "2018-02-27T12:00:00", "2018-02-27T13:00:00", "2018-02-27T14:00:00", "2018-02-27T15:00:00", "2018-02-27T16:00:00", "2018-02-27T17:00:00", "2018-02-27T18:00:00", "2018-02-27T19:00:00", "2018-02-27T20:00:00", "2018-02-27T21:00:00", "2018-02-27T22:00:00", "2018-02-27T23:00:00" ], "xaxis": "x", "y": [ 42.682, 74.822, 77.732, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Get battery net discharge\n", "battery_discharge=shop2.model.battery.Battery.power_discharge.get()\n", "battery_charge=shop2.model.battery.Battery.power_charge.get()\n", "#Get price data\n", "price=shop2.model.market.Day_ahead.sale_price.get()\n", "\n", "#Plot price and production\n", "fig = make_subplots(specs=[[{\"secondary_y\": True}]])\n", "fig.update_layout(barmode=\"relative\", title=\"Price and production\")\n", "fig.update_yaxes(title_text=\"Price\", secondary_y=True)\n", "fig.update_yaxes(title_text=\"Production\", secondary_y=False)\n", "fig.update_xaxes(tickformat=\"%H:%M\")\n", "fig.add_trace(go.Scatter(x=price.index, y=price.values, name=\"Price\", marker=dict(color=\"black\")), secondary_y=True)\n", "fig.add_trace(go.Bar(x=battery_discharge.index, y=battery_discharge.values, name=f'Battery discharge', marker=dict(color=\"indianred\")), secondary_y=False)\n", "fig.add_trace(go.Bar(x=battery_charge.index, y=-battery_charge.values, name=f'Battery charge', marker=dict(color=\"darkseagreen\")), secondary_y=False)\n", "for i, gen in enumerate(shop2.model.generator):\n", " fig.add_trace(go.Bar(x=gen.production.get().index, y=gen.production.get().values, name=f'Production {gen.get_name()}', marker=dict(color=colors[i])), secondary_y=False)\n", "fig.show()\n", "\n" ] }, { "cell_type": "markdown", "id": "7778120a", "metadata": {}, "source": [ "From the reserve market delivery plots we see that the battery now delivers most of the reserves." ] }, { "cell_type": "code", "execution_count": 9, "id": "decd573f", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "marker": { "color": "indianred" }, "name": "Battery", "type": "bar", "x": [ "2018-02-27T00:00:00", "2018-02-27T01:00:00", "2018-02-27T02:00:00", "2018-02-27T03:00:00", "2018-02-27T04:00:00", 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