344 lines
8.9 KiB
Plaintext
344 lines
8.9 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 34,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from Regler_class_file import PI_controller_class\n",
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"\n",
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"#importing Druckrohrleitung\n",
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"import sys\n",
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"import os\n",
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"current = os.path.dirname(os.path.realpath('Main_Programm.ipynb'))\n",
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"parent = os.path.dirname(current)\n",
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"sys.path.append(parent)\n",
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"from functions.pressure_conversion import pressure_conversion\n",
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"from Ausgleichsbecken.Ausgleichsbecken_class_file import Ausgleichsbecken_class\n",
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"from Turbinen.Turbinen_class_file import Francis_Turbine"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 35,
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"metadata": {},
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"outputs": [],
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"source": [
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"#define constants\n",
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"\n",
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"#Turbine\n",
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"Q_nenn = 0.85\n",
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"p_nenn,_ = pressure_conversion(10.6,'bar','Pa')\n",
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"\n",
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"# physics\n",
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"g = 9.81 # gravitational acceleration [m/s²]\n",
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"rho = 1000. # density of water [kg/m³]\n",
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"\n",
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"# define controller constants\n",
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"target_level = 8. # m\n",
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"Kp = 0.1\n",
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"Ti = 100.\n",
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"deadband_range = 0.05 # m\n",
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"\n",
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"# reservoir\n",
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"initial_level = target_level\n",
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"initial_influx = Q_nenn/2 # initial influx of volume to the reservoir [m³/s]\n",
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"initial_pressure_unit = 'Pa' # DO NOT CHANGE! for pressure conversion in print statements and plot labels \n",
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"conversion_pressure_unit = 'bar' # for pressure conversion in print statements and plot labels\n",
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"area_base = 74. # total base are of the cuboid reservoir [m²] \n",
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"area_outflux = 1. # outflux area of the reservoir, given by pipeline area [m²]\n",
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"critical_level_low = 0. # for yet-to-be-implemented warnings[m]\n",
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"critical_level_high = np.inf # for yet-to-be-implemented warnings[m]\n",
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"\n",
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"p0 = rho*g*initial_level-0.5*rho*(initial_influx/area_outflux)**2\n",
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"\n",
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"# offset the pressure in front of the turbine to get realisitc fluxes\n",
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"h_fict = 100\n",
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"offset_pressure = rho*g*h_fict\n",
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"\n",
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"t_max = 1e3 #s\n",
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"nt = int(1e6) # number of simulation steps of reservoir in between timesteps of pipeline \n",
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"dt = t_max/nt\n",
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"\n",
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"t_vec = np.arange(0,nt+1,1)*dt\n",
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"\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 36,
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"metadata": {},
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"outputs": [],
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"source": [
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"# create objects\n",
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"\n",
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"V = Ausgleichsbecken_class(area_base,area_outflux,critical_level_low,critical_level_high,dt)\n",
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"V.set_steady_state(initial_influx,initial_level,initial_pressure_unit,conversion_pressure_unit)\n",
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"\n",
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"T1 = Francis_Turbine(Q_nenn,p_nenn)\n",
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"T1.set_steady_state(initial_influx,p0+offset_pressure)\n",
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"T1.set_closing_time(500)\n",
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"\n",
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"Pegelregler = PI_controller_class(target_level,deadband_range,Kp,Ti,dt)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 37,
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"metadata": {},
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"outputs": [],
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"source": [
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"level_vec = np.full(nt+1,V.level)\n",
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"LA_ist_vec = np.full(nt+1,T1.LA)\n",
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"LA_soll_vec = np.full(nt+1,T1.LA)\n",
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"Q_vec = np.full(nt+1,initial_influx)\n",
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"\n",
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"Pegelregler.control_variable = T1.LA"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 38,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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}
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],
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"source": [
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"# time loop\n",
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"\n",
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"for i in range(nt+1):\n",
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"\n",
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" if np.mod(i,1e4) == 0:\n",
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" print(t_vec[i])\n",
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"\n",
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" if t_vec[i] == 0.4*np.max(t_vec):\n",
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" V.influx = 0\n",
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"\n",
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" p = rho*g*V.level-0.5*rho*(V.outflux_vel)**2\n",
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"\n",
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" LA_soll = Pegelregler.get_control_variable(V.level)\n",
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" T1.change_LA(LA_soll,dt)\n",
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" LA_soll_vec[i] = LA_soll\n",
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" LA_ist_vec[i] = T1.LA\n",
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" Q_vec[i] = T1.get_Q(p+offset_pressure)\n",
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"\n",
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" V.pressure = p\n",
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" V.outflux_vel = 1/V.area_outflux*Q_vec[i]\n",
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"\n",
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" V.e_RK_4() \n",
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" V.level = V.update_level(V.timestep) \n",
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" V.set_volume() \n",
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" level_vec[i] = V.level \n",
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" \n",
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" "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 39,
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"metadata": {},
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"outputs": [],
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"source": [
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"%matplotlib qt5\n",
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"# time loop\n",
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"\n",
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"# create a figure and subplots to display the velocity and pressure distribution across the pipeline in each pipeline step\n",
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"fig1,axs1 = plt.subplots(3,1)\n",
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"axs1[0].set_title('Level')\n",
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"axs1[0].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
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"axs1[0].set_ylabel(r'$h$ [$\\mathrm{m}$]')\n",
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"axs1[0].plot(t_vec,level_vec)\n",
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"axs1[0].set_ylim([0.85*initial_level,1.05*initial_level])\n",
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"axs1[1].set_title('Flux')\n",
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"axs1[1].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
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"axs1[1].set_ylabel(r'$Q$ [$\\mathrm{m} / \\mathrm{s}^3$]')\n",
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"axs1[1].plot(t_vec,Q_vec)\n",
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"axs1[1].set_ylim([0,2*initial_influx])\n",
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"axs1[2].set_title('LA')\n",
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"axs1[2].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
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"axs1[2].set_ylabel(r'$LA$ [\\%]')\n",
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"axs1[2].plot(t_vec,LA_soll_vec)\n",
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"axs1[2].plot(t_vec,LA_ist_vec)\n",
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"axs1[2].set_ylim([0,1])\n",
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"fig1.tight_layout()\n",
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"fig1.show()\n",
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"plt.pause(1)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 40,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"[<matplotlib.lines.Line2D at 0x26263b78be0>]"
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]
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},
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"execution_count": 40,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"fig2 = plt.figure()\n",
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"plt.plot(t_vec,Pegelregler.error_history[1:])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 41,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[8. 8. 8. ... 7.21126138 7.21126138 7.21126138]\n"
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]
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}
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],
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"source": [
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"print(level_vec[:])"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3.8.13 ('Georg_DT_Slot3')",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.8.13"
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},
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"orig_nbformat": 4,
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"vscode": {
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"interpreter": {
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"hash": "84fb123bdc47ab647d3782661abcbe80fbb79236dd2f8adf4cef30e8755eb2cd"
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}
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}
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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