{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Some experiments on a 5 substations test case" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To demonstrate the use of the grid2op framework, we propose here to show how to make some quick studies on a purely fictious test case, a 5 bus system.\n", "\n", "This system should not be used for deep research purpose. It is provided here as an example and a tool to get used to how some analyses can be performed using grid2op." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we can create a environment:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import grid2op\n", "env = grid2op.make(\"case5_example\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inspect the powergrid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In grid2op, to make more concrete the powergrid, we also added some visual capabilities to represent, for example, the names of the objects on the grid, or the thermal limit, or any other data you want. All of that is for now only available in the matplotlib \"plot helper\" and can be accessed as followed." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting the layout of the graph\n", "This utility function allows you to visualize where are the object located on the map. Each object has its own color, and is represented with its name and its id (id starts at 0, following python convention)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from grid2op.Plot import PlotMatplotlib\n", "plot_helper = PlotMatplotlib(env.observation_space)\n", "_ = plot_helper.plot_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing data on the grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is, with the same method, also possible to visualize any data on the powergrid, for example, we can inspect the thermal limit (line property) as follow:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_ = plot_helper.plot_info(line_info=env._thermal_limit_a,\n", " colormap=\"line\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above plot can be improved. It has lots of useless informations for the purpose (all the names of the loads, generetors and substations). They can be remove simply with:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_ = plot_helper.plot_info(line_info=env._thermal_limit_a,\n", " load_info=[None for el in range(env.n_load)],\n", " gen_info=[None for el in range(env.n_gen)],\n", " sub_info=[None for el in range(env.n_sub)],\n", " colormap=\"line\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, it is possible to display some data about the generators, for example the maximum value of power they can produce." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_ = plot_helper.plot_info(line_info=[None for el in range(env.n_line)],\n", " load_info=[None for el in range(env.n_load)],\n", " gen_info=env.gen_pmax,\n", " sub_info=[None for el in range(env.n_sub)],\n", " colormap=\"gen\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create an agent" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can see how well the \"do nothing\" agent (the most basic imaginable) can performe, using some \"gym like\" methods" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from grid2op.Agent import DoNothingAgent\n", "my_agent = DoNothingAgent(env.action_space)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now do the standard gym loop, and we save all the observations:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "all_obs = []\n", "obs = env.reset()\n", "all_obs.append(obs)\n", "reward = env.reward_range[0]\n", "done = False\n", "nb_step = 0\n", "while True:\n", " action = my_agent.act(obs, reward, done)\n", " obs, reward, done, _ = env.step(action)\n", " if done:\n", " break\n", " all_obs.append(obs)\n", " nb_step += 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can check if the episode has been completed, or if there has been a game over:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of timesteps computed: 97\n", "Total maximum number of timesteps possible: 2016\n" ] } ], "source": [ "print(\"Number of timesteps computed: {}\".format(nb_step))\n", "print(\"Total maximum number of timesteps possible: {}\".format(env.chronics_handler.max_timestep()))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we see here, there is a game over: the agent successfully managed 97 timesteps, while the episode could have lasted 2016.\n", "\n", "Let's try to investigate this, for example by plotting the last observation. First we need to create a utilities that will make the plot:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "ename": "AttributeError", "evalue": "'Environment' object has no attribute 'graph_layout'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mgrid2op\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mPlot\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mPlotPlotly\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m plot_helper = PlotPlotly(substation_layout=env.graph_layout,\n\u001b[0m\u001b[1;32m 3\u001b[0m observation_space=env.observation_space)\n", "\u001b[0;31mAttributeError\u001b[0m: 'Environment' object has no attribute 'graph_layout'" ] } ], "source": [ "from grid2op.Plot import PlotPlotly\n", "plot_helper = PlotPlotly(observation_space=env.observation_space)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "ename": "AttributeError", "evalue": "'PlotMatplotlib' object has no attribute 'plot_observation'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mlast_obs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mall_obs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mfig\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplot_helper\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot_observation\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlast_obs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mAttributeError\u001b[0m: 'PlotMatplotlib' object has no attribute 'plot_observation'" ] } ], "source": [ "last_obs = all_obs[-1]\n", "fig = plot_helper.plot_observation(last_obs)\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, the last obsevation is pretty clear: 4 powerlines have been disconnected, thus isolating the load on the bottom right. This lead to a game over. \n", "\n", "It's also possible, of course, to inspect the previous state, just before this one:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "previous_obs = all_obs[-2]\n", "fig = plot_helper.plot_observation(previous_obs)\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we can know the cause for this problem: all the powerlines that could provide power on the bottom right load are overloaded in this situation, so the protection worked and disconnect them to prevent hurting the surroundings." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }