{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# TDPF: sensitivity of parameters\n", "\n", "This tutorial adds more detail to the tutorial about Temperature Dependent Power Flow (TDPF) by exploring the influence of different input parameters. The method, plots and parameter variations are based on the following paper:\n", "\n", "B. Ngoko, H. Sugihara and T. Funaki, \"A Temperature Dependent Power Flow Model Considering Overhead Transmission Line Conductor Thermal Inertia Characteristics,\" 2019 IEEE International Conference on Environment and Electrical Engineering and 2019 IEEE Industrial and Commercial Power Systems Europe (EEEIC / I&CPS Europe), 2019, pp. 1-6, doi: 10.1109/EEEIC.2019.8783234." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from pandapower.pf.create_jacobian_tdpf import calc_a0_a1_a2_tau, calc_T_ngoko" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# conductor data\n", "t_air = 40\n", "t_max = 90\n", "t_ref = 25\n", "r_ref_ohm_per_m = 0.1824e-3\n", "conductor_outer_diameter_m = 18.2e-3\n", "v_m_per_s = 0.5\n", "wind_angle_degree = 45\n", "s_w_per_square_meter = 1000\n", "alpha = 0.004\n", "solar_absorptivity = emissivity = 0.5\n", "mc_joule_per_m_k = 525" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Wind speed\n", "\n", "First, we calculate the overhead line temperature depending on the current that is flowing through the line for three different wind speed scenarios." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "v_m_per_s = 0.5\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_05 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "v_m_per_s = 2\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_2 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "v_m_per_s = 5\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_5 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax=plt.subplot()\n", "ax.plot(np.vstack([t_05, t_2, t_5]).T, label=[\"0.5 m/s\", \"2 m/s\", \"5 m/s\"])\n", "ax.grid(True)\n", "ax.set_ylabel('Line temperature (°C)')\n", "ax.set_xlabel('Current (A)')\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wind speed has a very high effect on the calculation results. For example, at 300 A the impact of the wind speed between 0.5 m/s and 5 m/s corresponds to a difference in overhead line temperature of just below 50 °C vs. about 65~°C. For the maximum value of 600 A the effect of this parameter is even higher: about 65 °C vs. over 110 °C. The cooling effect increases exponentially with the increase of the line current." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Air temperature\n", "\n", "Here we specify three different scenarios for the air temperature." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "v_m_per_s = 0.5\n", "t_air = 0\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_0 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "t_air = 20\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_20 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "t_air = 40\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_40 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax=plt.subplot()\n", "ax.plot(np.vstack([t_0, t_20, t_40]).T, label=[\"0 °C\", \"20 °C\", \"40 °C\"])\n", "ax.grid(True)\n", "ax.set_ylabel('Line temperature (°C)')\n", "ax.set_xlabel('Current (A)')\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The air temperature has a high impact on the overhead line temperature. The cooling effect appears to remain constant with the change of the line current." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Wind Direction\n", "\n", "We specify three different scenarios for the wind angle of attack." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "v_m_per_s = 0.5\n", "wind_angle_degree = 0\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_0 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "wind_angle_degree = 45\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_45 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "wind_angle_degree = 90\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_90 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax=plt.subplot()\n", "ax.plot(np.vstack([t_0, t_45, t_90]).T, label=[\"0 °\", \"45 °\", \"90 °\"])\n", "ax.grid(True)\n", "ax.set_ylabel('Line temperature (°C)')\n", "ax.set_xlabel('Current (A)')\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wind direction has a very high impact on the result. The highest cooling effect is observed with the wind angle of 90 °C. The impact of the wind angle increases exponentially with the increase in the line current." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Solar Radiation" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "v_m_per_s = 0.5\n", "wind_angle_degree = 45\n", "s_w_per_square_meter = 0\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_0 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "s_w_per_square_meter = 500\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_500 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "s_w_per_square_meter = 1000\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)\n", "\n", "t_1000 = [calc_T_ngoko(i**2, a0, a1, a2, None, None, None) for i in range(601)]" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax=plt.subplot()\n", "ax.plot(np.vstack([t_0, t_500, t_1000]).T, label=[\"0 W/m²\", \"500 W/m²\", \"1000 W/m²\"])\n", "ax.grid(True)\n", "ax.set_ylabel('Line temperature (°C)')\n", "ax.set_xlabel('Current (A)')\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The impact of the solar radiation appears to be lower than one of the other weather parameters, and is even reduced slightly at higher currents. It should be acceptable in practice to use assumptions for the solar radiation if the exact data are not available." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Conclusion\n", "\n", "The wind speed, ambient air temperature and the wind angle of attack are the most relevant parameters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Thermal inertia\n", "\n", "The following example demonstrates the thermal inertia effect with a current surge from 250 A to 450 A, starting with the steady-state line temperature." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "t_air = 40\n", "t_max = 90\n", "t_ref = 20\n", "r_ref_ohm_per_m = 0.1824e-3\n", "conductor_outer_diameter_m = 18.2e-3\n", "v_m_per_s = 0.5\n", "wind_angle_degree = 45\n", "s_w_per_square_meter = 1000\n", "alpha = 0.004\n", "solar_absorptivity = emissivity = 0.5\n", "mc_joule_per_m_k = 525\n", "\n", "a0, a1, a2, tau = calc_a0_a1_a2_tau(t_air, t_max, t_ref, r_ref_ohm_per_m,\n", " conductor_outer_diameter_m, mc_joule_per_m_k,\n", " v_m_per_s, wind_angle_degree, s_w_per_square_meter)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "t_start = calc_T_ngoko(250**2, a0, a1, a2, None, None, None)\n", "t = [calc_T_ngoko(450**2, a0, a1, a2, t_min * 60, t_start, tau) for t_min in range(41)]" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax=plt.subplot()\n", "ax.plot(t)\n", "ax.grid(True)\n", "ax.set_ylim([55, 85])\n", "ax.set_ylabel('Line temperature (C)')\n", "ax.set_xlabel('Time delay (min)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The thermal inertia behavior demonstrates that there is a delay from a step change of current until the new steady state temperature is established. The majority of the temperature increase happens in the first 15 min. The thermal inertia consideration is useful for analyzing contingencies and evaluating preventive and curative grid operation strategies." ] } ], "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 4 }