{ "cells": [ { "cell_type": "markdown", "id": "fcf00c6b", "metadata": {}, "source": [ "# Timeseries calculation with Temperature-Dependent Power Flow (TDPF)" ] }, { "cell_type": "markdown", "id": "c0d2d658", "metadata": {}, "source": [ "With the TDPF calculation, the resulting overhead line temperature appears in the net.res_line table. This means that the line temperature is always initialized with 20 °C. If the TDPF is calculated for steady-state conditions, which is a valid approach for the time steps of ~1 hour, there is no need for any special consideration of the initial line temperature.\n", "\n", "However, if shorter time steps are used, e.g. 15 min, thermal inertia must be considered. The resulting temperature from the previous time step needs to be used as the starting temperature for the next tinme step. To achieve this, the value from net.res_line.temperature_degree_celsius must be written in net.line.temperature_degree_celsius. The reference temperature for calculating the resistance is not impacted by this change because it is stored in a separate column in net.line.reference_temperature_degree_celsius.\n", "\n", "In order to write the value of temperature_degree_celsius in the net.line table, a special controller must be added. In this tutorial we will demonstrate it." ] }, { "cell_type": "code", "execution_count": 1, "id": "af0f835f", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "import pandapower as pp\n", "import pandapower.control\n", "import pandapower.timeseries\n", "\n", "from pandapower.control.basic_controller import Controller\n", "\n", "from pandapower.test.loadflow.test_tdpf import simple_test_grid" ] }, { "cell_type": "code", "execution_count": 2, "id": "13d22d2c", "metadata": {}, "outputs": [], "source": [ "class TDPF_timeseries_control(Controller):\n", " def is_converged(self, net):\n", " return True\n", " \n", " def finalize_step(self, net, time_step):\n", " net.line.loc[net.line.tdpf, \"temperature_degree_celsius\"] = \\\n", " net.res_line.loc[net.line.tdpf, \"temperature_degree_celsius\"]" ] }, { "cell_type": "markdown", "id": "b854338f", "metadata": {}, "source": [ "# Wind speed data" ] }, { "cell_type": "markdown", "id": "4b781081", "metadata": {}, "source": [ "We demonstrate the timeseries simulation just by modifying the wind speed data, all other inputs will remain the same. Having just one variation makes it easier to understand the demonstrated effect. In a productive application of the demonstrated approach, both the weather data (wind speed, air temperature, solar radiation) and the grid-related data (power of consumption and generation) would vary with the time steps.\n", "\n", "Below we show the wind speed profile that we use in the example:" ] }, { "cell_type": "code", "execution_count": 3, "id": "a786afe3", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = pd.DataFrame(columns=[\"wind_speed_m_per_s\"], data=np.arange(0.5, 3, 0.1), index=np.arange(25, dtype=np.int64))\n", "ax = data.plot(figsize=(5, 2.5))\n", "ax.set_title(\"Wind speed data (m/s)\")\n", "ax.set_ylabel(\"Wind speed (m/s)\")\n", "ax.set_xlabel(\"Time step\");" ] }, { "cell_type": "markdown", "id": "94980c02", "metadata": {}, "source": [ "# Time-series simulation" ] }, { "cell_type": "markdown", "id": "21660f07", "metadata": {}, "source": [ "A simple grid example is used to demonstrate the time-series calculation. We use the same grid model as in the other tutorials related to TDPF. \n", "\n", "The grid is created with all the relevant TDPF parameters. The wind speed profile is applied via ConstControl. The following calculations are executed:\n", "\n", "* time-series calculation with steady-state TDPF. The thermal inertia effect is disregarded.\n", "* time-series calculation with the thermal inertia for the time delay of 10 min. This represents the time resolution of the time-series calculation of 10 min. The starting temperature of the lines is always 20 °C, at every time step\n", "* similar calculation as in the previous case, except that the result of the previous time step is used to set up the starting temperature for every time step." ] }, { "cell_type": "code", "execution_count": 4, "id": "bc2ab4a2", "metadata": {}, "outputs": [], "source": [ "net = simple_test_grid(load_scaling=0.25, sgen_scaling=0.5, with_gen=True, distributed_slack=False)" ] }, { "cell_type": "code", "execution_count": 5, "id": "0ff5cf91", "metadata": {}, "outputs": [], "source": [ "ds = pp.timeseries.DFData(data)\n", "pp.control.ConstControl(net, \"line\", \"wind_speed_m_per_s\", net.line.query(\"tdpf\").index, \"wind_speed_m_per_s\", ds, recycle=False)\n", "ow = pp.timeseries.OutputWriter(net)\n", "ow.log_variable(\"res_line\", \"temperature_degree_celsius\")\n", "ow.log_variable(\"line\", \"wind_speed_m_per_s\")" ] }, { "cell_type": "code", "execution_count": 6, "id": "409032e1", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████| 25/25 [00:03<00:00, 7.07it/s]\n", "100%|██████████████████████████████████████████████████████████████████████████████████| 25/25 [00:01<00:00, 20.32it/s]\n", "100%|██████████████████████████████████████████████████████████████████████████████████| 25/25 [00:01<00:00, 21.96it/s]\n" ] } ], "source": [ "pp.timeseries.run_timeseries(net, time_steps=range(25), tdpf=True, max_iteration=50)\n", "output_ss = ow.output[\"res_line.temperature_degree_celsius\"].copy()\n", "pp.timeseries.run_timeseries(net, time_steps=range(25), tdpf=True, tdpf_delay_s=15*60, max_iteration=50)\n", "output_ss_20 = ow.output[\"res_line.temperature_degree_celsius\"].copy()\n", "pp.timeseries.run_timeseries(net, time_steps=range(25), tdpf=True, tdpf_delay_s=5*60, max_iteration=50)\n", "output_ss_20_5 = ow.output[\"res_line.temperature_degree_celsius\"].copy()" ] }, { "cell_type": "code", "execution_count": 7, "id": "66fbaa11", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "hp.pandapower.control.util.auxiliary - INFO: Creating controller 1 of type \n", "100%|██████████████████████████████████████████████████████████████████████████████████| 25/25 [00:02<00:00, 11.27it/s]\n", "100%|██████████████████████████████████████████████████████████████████████████████████| 25/25 [00:02<00:00, 11.96it/s]\n" ] } ], "source": [ "TDPF_timeseries_control(net)\n", "net.line.temperature_degree_celsius = 20\n", "pp.timeseries.run_timeseries(net, time_steps=range(25), tdpf=True, tdpf_delay_s=15*60, max_iteration=50)\n", "output_15 = ow.output[\"res_line.temperature_degree_celsius\"].copy()\n", "net.line.temperature_degree_celsius = 20\n", "pp.timeseries.run_timeseries(net, time_steps=range(25), tdpf=True, tdpf_delay_s=5*60, max_iteration=50)\n", "output_5 = ow.output[\"res_line.temperature_degree_celsius\"].copy()" ] }, { "cell_type": "markdown", "id": "02f16754", "metadata": {}, "source": [ "# Results" ] }, { "cell_type": "markdown", "id": "0a7f7e33", "metadata": {}, "source": [ "We compare the line temperature from the time-series calculation results for termal inertia consideration with the steady-state variant. The calculation in which the starting temperature is always 20 °C has unrealistic results. \n", "\n", "The calculation that considers the temperature from the previous time steps as the initial line temperature has a more interesting result. The calculation starts with line temperature of 20 °C, and it slowly increases. This shows the impact of thermal inertia on the results. Afterwards, as the wind speed increases and the cooling of lines becomes stronger, the line temperature tracks above the steady-state temperature." ] }, { "cell_type": "code", "execution_count": 8, "id": "2d08f6c5", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, sharey=True, figsize=(10, 5))\n", "output_ss[0].plot(ax=ax1, label=\"Line 0 (steady-state)\")\n", "output_ss_20[0].plot(ax=ax1, linestyle=\"--\", label=\"Line 0 (time resolution 15 min)\")\n", "output_ss_20_5[0].plot(ax=ax1, linestyle=\"--\", label=\"Line 0 (time resolution 5 min)\")\n", "ax1.legend(title=\"Results for line:\", loc=\"upper center\", bbox_to_anchor=[0.5,-0.2])\n", "\n", "output_ss[0].plot(ax=ax2, label=\"Line 0 (steady-state)\")\n", "output_15[0].plot(ax=ax2, linestyle=\"--\", label=\"Line 0 (time resolution 15 min)\")\n", "output_5[0].plot(ax=ax2, linestyle=\"--\", label=\"Line 0 (time resolution 5 min)\")\n", "ax2.legend(title=\"Results for line:\", loc=\"upper center\", bbox_to_anchor=[0.5,-0.2])\n", "\n", "ax1.set_ylabel(\"Line temperature (°C)\")\n", "ax1.set_xlabel(\"Time step\")\n", "ax2.set_xlabel(\"Time step\")\n", "\n", "ax1.set_title(\"Same starting temperature of 20 °C\")\n", "ax2.set_title(\"Starting temperature from previous time step\")\n", "plt.tight_layout(pad=0)" ] }, { "cell_type": "markdown", "id": "65c8ebdc", "metadata": {}, "source": [ "With the increase of the wind speed, the cooling effect becomes stronger, and the steady-state temperature of the line is reduced. \n", "\n", "When the starting temperature is constant, and thermal inertia is considered for a given time resolution (15 min and 5 min), the results are misleading. The line temperature does not reach the results of the steady-state calculation even after supposedly 1 h of time delay.\n", "\n", "In the second case study the starting line temperature is set from the results of the previous time step (except for the very first time step with the starting temperature of 20 °C). The results show that the line temperature reaches the values of the steady-state calculation after several time steps. The curve representing the time resolution of 15 min (1 hour is equivalent to 4 time steps) crosses the curve of the steady-state calculation at the fifth time step. For the resolution of 5 min (1 hour is equivalent to 12 time steps), the crossing happens at the 11th time step. In both cases, the curve with thermal inertia catches up with the steady-state curve after about 1 hour. Therefore, considering thermal inertia is relevant for time series simulation with the time resolution of less than 1 hour." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 5 }