{ "cells": [ { "cell_type": "markdown", "id": "6d38009e", "metadata": {}, "source": [ "# Modal analysis and steady-state forced response calculation example\n", "\n", "Based on the article \"Dynamic Torque Analysis of a Wind Turbine Drive Train Including a Direct-Driven Permanent-Magnet Generator\" [1]." ] }, { "cell_type": "code", "execution_count": 1, "id": "a903bf6c", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import opentorsion as ot" ] }, { "cell_type": "code", "execution_count": 2, "id": "7a5e05e1", "metadata": {}, "outputs": [], "source": [ "def generator_torque(rpm):\n", " \"\"\"\n", " Generator torque as a function of rotor rotating speed.\n", " \"\"\"\n", " rated_T = 2.9e6\n", "\n", " if rpm < 4:\n", " torque = 0\n", "\n", " elif rpm < 15:\n", " m = (0.5 - 0.125) / (15 - 4) * rated_T\n", " b = 0.5 * rated_T - m * 15\n", "\n", " torque = m * rpm + b\n", "\n", " elif rpm < 22:\n", " P = rated_T * 15\n", "\n", " torque = P / rpm\n", "\n", " else:\n", " torque = 0\n", "\n", " return torque" ] }, { "cell_type": "code", "execution_count": 3, "id": "877b1ac4", "metadata": {}, "outputs": [], "source": [ "def get_windmill_excitation(rpm):\n", " \"\"\"\n", " Cogging torque and torque ripple as harmonic excitation.\n", " (Table III in [1])\n", " \"\"\"\n", " f_s = rpm\n", " vs = np.array([4, 6, 8, 10, 12, 14, 16])\n", " omegas = 2 * np.pi * vs * f_s\n", "\n", " rated_T = 2.9e6\n", " amplitudes = np.array(\n", " [0.0018, 0.0179, 0.0024, 0.0034, 0.0117, 0.0018, 0.0011]\n", " ) * generator_torque(rpm)\n", " amplitudes[4] += rated_T * 0.0176\n", "\n", " return omegas, amplitudes" ] }, { "cell_type": "code", "execution_count": 4, "id": "e5c8789b", "metadata": {}, "outputs": [], "source": [ "def forced_response():\n", " \"\"\"\n", " First a model of a windmill is created as a system of three lumped masses\n", " connected by two shafts. The assembly is given harmonic excitation as\n", " input. Finally, the system response is calculated and plotted.\n", " \"\"\"\n", " # Parameters of the mechanical model\n", " k1 = 3.67e8 # Nm/rad\n", " k2 = 5.496e9 # Nm/rad\n", " J1 = 1e7 # kgm^2\n", " J2 = 5770 # kgm^2\n", " J3 = 97030 # kgm^2\n", "\n", " # Creating assembly\n", " shafts, disks = [], []\n", " disks.append(ot.Disk(0, J1))\n", " shafts.append(ot.Shaft(0, 1, None, None, k=k1, I=0))\n", " disks.append(ot.Disk(1, J2))\n", " shafts.append(ot.Shaft(1, 2, None, None, k=k2, I=0))\n", " disks.append(ot.Disk(2, J3))\n", "\n", " assembly = ot.Assembly(shafts, disk_elements=disks)\n", "\n", " M, K = assembly.M, assembly.K # Mass and stiffness matrices\n", " C = assembly.C_modal(M, K, xi=0.02) # Damping matrix\n", "\n", " # Modal analysis\n", " A, B = assembly.state_matrix(C)\n", " omegas_undamped, omegas_damped, damping_ratios = assembly.modal_analysis()\n", "\n", " # Print eigenfrequencies.\n", " # The list contains each eigenfrequency twice: e.g. eigenfrequencies = [1st, 1st, 2nd, 2nd, 3rd, 3rd, ...]\n", " print(\"Eigenfrequencies: \", omegas_undamped.round(3))\n", "\n", " # Initiate plotting tools calling Plots(assembly)\n", " plot_tools = ot.Plots(assembly)\n", "\n", " # Plot eigenmodes, input number of eigenmodes\n", " plot_tools.plot_assembly()\n", " plot_tools.plot_eigenmodes(modes=3)\n", " plot_tools.plot_campbell(frequency_range_rpm=[0, 300], num_modes=2)\n", " \n", " # Steady-state forced response analysis\n", " VT_element1 = []\n", " VT_element2 = []\n", "\n", " # The excitation depends on the rotational speed of the system.\n", " # Here the response is calculated at each rotational speed.\n", " # The responses at each rotational speed are summed to get the total response.\n", " for rpm in np.linspace(0.1, 25, 5000):\n", " omegas, amplitudes = get_windmill_excitation(rpm)\n", " excitations = np.zeros((M.shape[0], omegas.shape[0]), dtype=\"complex128\")\n", " excitations[2] = amplitudes # Excitation acts on the generator side\n", "\n", " T_vib = assembly.vibratory_torque(excitations, omegas, k_shafts=np.array([k1, k2]), C=C)\n", "\n", " VT_element1.append(np.sum(np.abs(T_vib[0])))\n", " VT_element2.append(np.sum(np.abs(T_vib[1])))\n", "\n", " T_e = np.array(\n", " [np.array(VT_element1), np.array(VT_element2)]\n", " ) # Total response (shaft torque)\n", "\n", " plot_tools = ot.Plots(assembly)\n", " plot_tools.torque_response_plot(np.linspace(0.1, 25, 5000), T_e, show_plot=True)\n", "\n", " return" ] }, { "cell_type": "code", "execution_count": 5, "id": "3660eff0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Eigenfrequencies: [ 0. 0. 58.34 58.34 1034.115 1034.115]\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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