created KW Lamnitz with loop
This commit is contained in:
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@@ -14,5 +14,6 @@ Validation Data/
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Druckrohrleitung/Gif Plots
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Simulation Hammer/
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Simulation Arriach/
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Simulation Lamnitz/
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log.txt
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@@ -225,8 +225,8 @@ class Ausgleichsbecken_class:
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delta_level = net_flux*timestep/self.area
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level_new = (self.level+delta_level)
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# raise exception error if level in reservoir falls below 0.01 ######################### has to be commented out if used in loop
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if level_new < 0.01:
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raise Exception('Reservoir ran emtpy')
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# if level_new < 0.01:
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# raise Exception('Reservoir ran emtpy')
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# set flag is necessary because update_level() is used to get a halfstep value in the time evoultion
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if set_flag == True:
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self.set_level(level_new,display_warning=False)
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722
KW Lamnitz.ipynb
Normal file
722
KW Lamnitz.ipynb
Normal file
@@ -0,0 +1,722 @@
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{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 26,
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"metadata": {},
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"outputs": [],
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"source": [
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"# code cell 0\n",
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"import os\n",
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"import sys\n",
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"from datetime import datetime\n",
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"\n",
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"\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 Ausgleichsbecken.Ausgleichsbecken_class_file import Ausgleichsbecken_class\n",
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"from Druckrohrleitung.Druckrohrleitung_class_file import Druckrohrleitung_class\n",
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"from functions.pressure_conversion import pressure_conversion\n",
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"from Kraftwerk.Kraftwerk_class_file import Kraftwerk_class\n",
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"from Regler.Regler_class_file import PI_controller_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": 27,
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"metadata": {},
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"outputs": [],
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"source": [
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"# # code cell 1\n",
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"# # for loop creation\n",
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"\n",
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"# Area_list = np.round(np.arange(40.,90.,5.),1)\n",
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"# Kp_list = np.round(np.arange(0.1,3.0,0.2),1)\n",
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"# Ti_list = np.round(np.arange(10.,300.,10.),1)\n",
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"\n",
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"# # # if one wants to use the loop to save 1 specific configuration:\n",
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"# # desired_area = 60\n",
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"# # desired_KP = 0.7\n",
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"# # desired_ti = 200.\n",
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"\n",
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"# # Area_list = np.round(np.arange(desired_area,desired_area+1.,1.),1)\n",
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"# # Kp_list = np.round(np.arange(desired_KP,desired_KP+1.,1),1)\n",
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"# # Ti_list = np.round(np.arange(desired_ti,desired_ti+1.,1.),1)\n",
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"\n",
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"# for i in range(np.size(Area_list)):\n",
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"# for j in range(np.size(Kp_list)):\n",
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"# for k in range(np.size(Ti_list)):\n",
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"# now = datetime.now()\n",
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"# current_time = now.strftime(\"%H:%M:%S\")\n",
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"# print(\"Current Time =\", current_time)\n",
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"\n",
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"# print('i = ',i, '/ ', str(np.size(Area_list)-1))\n",
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"# print('j = ',j, '/ ', str(np.size(Kp_list)-1))\n",
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"# print('k = ',k, '/ ', str(np.size(Ti_list)-1))\n",
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"# print('area = ',Area_list[i])\n",
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"# print('K_p = ',Kp_list[j])\n",
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"# print('T_i = ',Ti_list[k])\n",
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"\n",
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"# with open('log.txt','a') as f:\n",
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"# f.write(\"Current Time =\" + current_time + '\\n')\n",
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"# f.write('i = '+str(i)+ '/ '+ str(np.size(Area_list)-1)+ '\\n')\n",
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"# f.write('j = '+str(j)+ '/ '+ str(np.size(Kp_list)-1)+ '\\n')\n",
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"# f.write('k = '+str(k)+ '/ '+ str(np.size(Ti_list)-1)+ '\\n')\n",
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"# f.write('area = '+str(Area_list[i])+ '\\n')\n",
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"# f.write('K_p = '+str(Kp_list[j])+ '\\n')\n",
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"# f.write('T_i = '+str(Ti_list[k])+ '\\n')\n",
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"\n",
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"# backup if script is used as jupyter notebook\n",
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"desired_area = 20\n",
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"desired_KP = 1.3\n",
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"desired_ti = 200.\n",
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"\n",
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"Area_list = np.round(np.arange(desired_area,desired_area+1.,1.),1)\n",
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"Kp_list = np.round(np.arange(desired_KP,desired_KP+1.,1),1)\n",
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"Ti_list = np.round(np.arange(desired_ti,desired_ti+1.,1.),1)\n",
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"i = 0\n",
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"j = 0\n",
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"k = 0"
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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": 28,
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"metadata": {},
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"outputs": [],
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"source": [
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"# code cell 2\n",
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"# define constants\n",
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"\n",
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" # for physics\n",
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"g = 9.81 # [m/s²] gravitational acceleration \n",
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"rho = 0.9982067*1e3 # [kg/m³] density of water \n",
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"pUnit_calc = 'Pa' # [string] DO NOT CHANGE! for pressure conversion in print statements and plot labels \n",
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"pUnit_conv = 'mWS' # [string] for pressure conversion in print statements and plot labels\n",
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"\n",
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" # for KW OL \n",
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"OL_T1_Q_nenn = 1.0 # [m³/s] nominal flux of turbine \n",
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"OL_T1_p_nenn = pressure_conversion(1,'bar',pUnit_calc) # [Pa] nominal pressure of turbine ## p_nenn wird konstant gehalten, Wert ist also fiktiv\n",
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"OL_p_pseudo = 1.1*OL_T1_p_nenn # ficticious pressure applied to OL turbines to avoid LA>1 error caused by unfortunate rounding\n",
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"OL_T1_closingTime = 600. # [s] closing time of turbine\n",
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"\n",
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" # for KW UL\n",
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"UL_T1_Q_nenn = 1.1 # [m³/s] nominal flux of turbine \n",
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"UL_T1_p_nenn = pressure_conversion(120.,'mWS',pUnit_calc) # [Pa] nominal pressure of turbine \n",
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"UL_T1_closingTime = 60. # [s] closing time of turbine\n",
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"\n",
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" # for PI controller\n",
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"Con_targetLevel = 1.25 # [m] target level of the PI controller\n",
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"Con_K_p = Kp_list[j] # [-] proportionality constant of PI controller\n",
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"Con_T_i = Ti_list[k] # [s] timespan in which a steady state error is corrected by the intergal term\n",
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"Con_deadbandRange = 0.00 # [m] Deadband range around targetLevel for which the controller does NOT intervene\n",
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"\n",
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" # for pipeline\n",
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"Pip_length = 2000. # [m] length of pipeline\n",
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"Pip_dia = 0.9 # [m] diameter of pipeline\n",
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"Pip_area = Pip_dia**2/4*np.pi # [m²] crossectional area of pipeline\n",
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"Pip_head = 130. # [m] hydraulic head of pipeline without reservoir\n",
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"Pip_angle = np.arcsin(Pip_head/Pip_length) # [rad] elevation angle of pipeline \n",
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"Pip_n_seg = 50 # [-] number of pipe segments in discretization\n",
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"Pip_f_D = 0.015 # [-] Darcy friction factor\n",
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"Pip_pw_vel = 600. # [m/s] propagation velocity of the pressure wave (pw) in the given pipeline\n",
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" # derivatives of the pipeline constants\n",
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"Pip_dx = Pip_length/Pip_n_seg # [m] length of each pipe segment\n",
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"Pip_dt = Pip_dx/Pip_pw_vel # [s] timestep according to method of characteristics\n",
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"Pip_nn = Pip_n_seg+1 # [1] number of nodes\n",
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"Pip_x_vec = np.arange(0,Pip_nn,1)*Pip_dx # [m] vector holding the distance of each node from the upstream reservoir along the pipeline\n",
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"Pip_h_vec = np.arange(0,Pip_nn,1)*Pip_head/Pip_n_seg # [m] vector holding the vertical distance of each node from the upstream reservoir\n",
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"\n",
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" # for reservoir\n",
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"Res_area_base = Area_list[i] # [m²] total base are of the cuboid reservoir \n",
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"Res_area_out = Pip_area # [m²] outflux area of the reservoir, given by pipeline area\n",
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"Res_level_crit_lo = Con_targetLevel-0.5 # [m] for yet-to-be-implemented warnings\n",
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"Res_level_crit_hi = np.inf # [m] for yet-to-be-implemented warnings\n",
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"Res_dt_approx = 1e-3 # [s] approx. timestep of reservoir time evolution to ensure numerical stability (see Res_nt why approx.)\n",
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"Res_nt = max(1,int(Pip_dt//Res_dt_approx)) # [1] number of timesteps of the reservoir time evolution within one timestep of the pipeline\n",
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"Res_dt = Pip_dt/Res_nt # [s] harmonised timestep of reservoir time evolution\n",
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"\n",
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" # for general simulation\n",
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"flux_init = OL_T1_Q_nenn # [m³/s] initial flux through whole system for steady state initialization \n",
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"# OL_LAs_init = [1.,0.3] # [vec] initial guide vane openings of OL-KW\n",
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"level_init = Con_targetLevel # [m] initial water level in upstream reservoir for steady state initialization\n",
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"simTime_target = 1200. # [s] target for total simulation time (will vary slightly to fit with Pip_dt)\n",
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"nt = int(simTime_target//Pip_dt) # [1] Number of timesteps of the whole system\n",
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"t_vec = np.arange(0,nt+1,1)*Pip_dt # [s] time vector. At each step of t_vec the system parameters are stored\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Adaptions to fit specific project \n",
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"- choose between initialization by flux or guide vane opening - toggle comments in lines 12 and 14+15\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": 29,
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"metadata": {},
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"outputs": [],
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"source": [
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"# code cell 3\n",
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"# create objects\n",
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"\n",
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"# influx setting turbines\n",
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"OL_T1 = Francis_Turbine(OL_T1_Q_nenn,OL_T1_p_nenn,OL_T1_closingTime,Pip_dt,pUnit_conv)\n",
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"\n",
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"KW_OL = Kraftwerk_class()\n",
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"KW_OL.add_turbine(OL_T1)\n",
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"\n",
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"KW_OL.set_steady_state_by_flux(flux_init,OL_p_pseudo)\n",
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"\n",
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"# KW_OL.set_steady_state_by_LA(OL_LAs_init,OL_p_pseudo)\n",
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"# flux_init = KW_OL.get_current_Q()\n",
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"\n",
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"# Upstream reservoir\n",
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"reservoir = Ausgleichsbecken_class(Res_area_base,Res_area_out,Res_dt,pUnit_conv,Res_level_crit_lo,Res_level_crit_hi,rho)\n",
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"reservoir.set_steady_state(flux_init,level_init)\n",
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"\n",
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"# pipeline\n",
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"pipe = Druckrohrleitung_class(Pip_length,Pip_dia,Pip_head,Pip_n_seg,Pip_f_D,Pip_pw_vel,Pip_dt,pUnit_conv,rho)\n",
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"pipe.set_steady_state(flux_init,reservoir.get_current_pressure())\n",
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"\n",
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"# downstream turbines\n",
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"UL_T1 = Francis_Turbine(UL_T1_Q_nenn,UL_T1_p_nenn,UL_T1_closingTime,Pip_dt,pUnit_conv)\n",
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"\n",
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"KW_UL = Kraftwerk_class()\n",
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"KW_UL.add_turbine(UL_T1)\n",
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"\n",
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"KW_UL.set_steady_state_by_flux(flux_init,pipe.get_current_pressure_distribution()[-1])\n",
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"\n",
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"# level controller\n",
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"level_control = PI_controller_class(Con_targetLevel,Con_deadbandRange,Con_K_p,Con_T_i,Pip_dt)\n",
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"level_control.set_control_variable(UL_T1.get_current_LA(),display_warning=False)\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": 30,
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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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"Turbine has the following attributes: \n",
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"----------------------------- \n",
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"Type = Francis \n",
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"Nominal flux = 1.0 m³/s \n",
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"Nominal pressure = 10.197 mWS\n",
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"Nominal LA = 100.0 % \n",
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"Closing time = 600.0 s \n",
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"Current flux = 1.0 m³/s \n",
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"Current pipe pressure = 11.217 mWS \n",
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"Current LA = 95.35 % \n",
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"Simulation timestep = 0.06666666666666667 s \n",
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"----------------------------- \n",
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"\n",
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"None\n",
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"The cuboid reservoir has the following attributes: \n",
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"----------------------------- \n",
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"Base area = 20.0 m² \n",
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"Outflux area = 0.636 m² \n",
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"Current level = 1.25 m\n",
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"Critical level low = 0.75 m \n",
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"Critical level high = inf m \n",
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"Volume in reservoir = 25.0 m³ \n",
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"Current influx = 1.0 m³/s \n",
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"Current outflux = 1.0 m³/s \n",
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"Current outflux vel = 1.572 m/s \n",
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"Current pipe pressure = 1.005 mWS \n",
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"Simulation timestep = 0.00101010101010101 s \n",
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"Density of liquid = 998.2067 kg/m³ \n",
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"----------------------------- \n",
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"\n",
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"None\n",
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"The pipeline has the following attributes: \n",
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"----------------------------- \n",
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"Length = 2000.0 m \n",
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"Diameter = 0.9 m \n",
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"Hydraulic head = 130.0 m \n",
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"Number of segments = 50 \n",
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"Number of nodes = 51 \n",
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"Length per segments = 40.0 m \n",
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"Pipeline angle = 0.065 rad \n",
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"Pipeline angle = 3.727° \n",
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"Darcy friction factor = 0.015 \n",
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"Density of liquid = 998.2067 kg/m³ \n",
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"Pressure wave vel. = 600.0 m/s \n",
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"Simulation timestep = 0.06666666666666667 s \n",
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"----------------------------- \n",
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"Velocity and pressure distribution are vectors and are accessible via the \n",
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" get_current_velocity_distribution() and get_current_pressure_distribution() methods of the pipeline object. \n",
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" See also get_lowest_XXX_per_node() and get_highest_XXX_per_node() methods.\n",
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"None\n",
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"Turbine has the following attributes: \n",
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"----------------------------- \n",
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"Type = Francis \n",
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"Nominal flux = 1.1 m³/s \n",
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"Nominal pressure = 120.0 mWS\n",
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"Nominal LA = 100.0 % \n",
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"Closing time = 60.0 s \n",
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"Current flux = 1.0 m³/s \n",
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"Current pipe pressure = 126.624 mWS \n",
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"Current LA = 88.5 % \n",
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"Simulation timestep = 0.06666666666666667 s \n",
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"----------------------------- \n",
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"\n",
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"None\n",
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"Controller has the following attributes: \n",
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"----------------------------- \n",
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"Type = PI Controller \n",
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"Setpoint = 1.25 \n",
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"Deadband = 0.0 \n",
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"Proportionality constant = 1.3 \n",
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"Integration time = 200.0 [s] \n",
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"Current control variable = 0.885 \n",
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"Lower limit CV = 0.0 \n",
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"Upper limit CV = 1.0 \n",
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"Simulation timestep = 0.06666666666666667 [s] \n",
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"----------------------------- \n",
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"\n",
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"None\n"
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]
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}
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],
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"source": [
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"# code cell 4\n",
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"# using the get_info() methods\n",
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"\n",
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"# print(KW_OL.get_info())\n",
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"# print(reservoir.get_info(full=True))\n",
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"# print(pipe.get_info())\n",
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"# print(KW_UL.get_info())\n",
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"# print(level_control.get_info())\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Adaptions to fit specific project \n",
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"- change the influx through the OL HPP by manually setting the guide vane openings\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": 20,
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"metadata": {},
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"outputs": [],
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"source": [
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"# code cell 5\n",
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"# initialization for Timeloop\n",
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"\n",
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"# OL KW\n",
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" # manual input to modulate influx\n",
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"OL_T1_LA_soll_vec = np.full_like(t_vec,OL_T1.get_current_LA()) # storing the target value for the guide van opening\n",
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"OL_T1_LA_soll_vec[np.argmin(np.abs(t_vec-100)):] = 0. # changing the target value for the guide vane opening at t = 100 s\n",
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"OL_T1_LA_soll_vec[np.argmin(np.abs(t_vec-600)):] = OL_T1_LA_soll_vec[0] # changing the target value for the guide vane opening at t = 600 s \n",
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"\n",
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"\n",
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"# creating a bunch of vectors that are used to store usefull information - either for analysis or for the following step in the timeloop\n",
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"\n",
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"# reservoir\n",
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"Q_in_vec = np.zeros_like(t_vec) # for storing the influx to the reservoir\n",
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"Q_in_vec[0] = flux_init # storing the initial influx to the reservoir\n",
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"# Outflux from reservoir is stored in Q_boundary_res\n",
|
||||
"level_vec = np.zeros_like(t_vec) # for storing the level in the reservoir at the end of each pipeline timestep\n",
|
||||
"level_vec[0] = level_init # storing the initial level in the reservoir\n",
|
||||
"volume_vec = np.zeros_like(t_vec) # for storing the volume in the reservoir at the end of each pipeline timestep\n",
|
||||
"volume_vec[0] = reservoir.get_current_volume() # storing the initial volume in the reservoir\n",
|
||||
"\n",
|
||||
"# pipeline\n",
|
||||
"v_old = pipe.get_current_velocity_distribution() # for storing the velocity from the last timestep\n",
|
||||
"v_min = pipe.get_lowest_velocity_per_node() # for storing minimal flux velocity at each node\n",
|
||||
"v_max = pipe.get_highest_velocity_per_node() # for storing maximal flux velocity at each node\n",
|
||||
"Q_old = pipe.get_current_flux_distribution() # for storing the flux from the last timestep\n",
|
||||
"Q_min = pipe.get_lowest_flux_per_node() # for storing minimal flux at each node\n",
|
||||
"Q_max = pipe.get_highest_flux_per_node() # for storing maximal flux at each node\n",
|
||||
"p_old = pipe.get_current_pressure_distribution() # for storing the pressure from the last timestep\n",
|
||||
"p_min = pipe.get_lowest_pressure_per_node() # for storing minimal pressure at each node\n",
|
||||
"p_max = pipe.get_highest_pressure_per_node() # for storing maximal pressure at each node\n",
|
||||
"p_0 = pipe.get_initial_pressure_distribution() # storing initial pressure at each node\n",
|
||||
"\n",
|
||||
"v_boundary_res = np.zeros_like(t_vec) # for storing the boundary velocity at the reservoir\n",
|
||||
"v_boundary_tur = np.zeros_like(t_vec) # for storing the boundary velocity at the turbine\n",
|
||||
"Q_boundary_res = np.zeros_like(t_vec) # for storing the boundary flux at the reservoir\n",
|
||||
"Q_boundary_tur = np.zeros_like(t_vec) # for storing the boundary flux at the turbine\n",
|
||||
"p_boundary_res = np.zeros_like(t_vec) # for storing the boundary pressure at the reservoir\n",
|
||||
"p_boundary_tur = np.zeros_like(t_vec) # for storing the boundary pressure at the turbine\n",
|
||||
"\n",
|
||||
"v_boundary_res[0] = v_old[0] # storing the initial value for the boundary velocity at the reservoir\n",
|
||||
"v_boundary_tur[0] = v_old[-1] # storing the initial value for the boundary velocity at the turbine\n",
|
||||
"Q_boundary_res[0] = Q_old[0] # storing the initial value for the boundary flux at the reservoir\n",
|
||||
"Q_boundary_tur[0] = Q_old[-1] # storing the initial value for the boundary flux at the turbine\n",
|
||||
"p_boundary_res[0] = p_old[0] # storing the initial value for the boundary pressure at the reservoir\n",
|
||||
"p_boundary_tur[0] = p_old[-1] # storing the initial value for the boundary pressure at the turbine\n",
|
||||
"\n",
|
||||
"# OL KW\n",
|
||||
"OL_T1_LA_ist_vec = np.zeros_like(t_vec) # for storing the actual value of the guide vane opening\n",
|
||||
"OL_T1_LA_ist_vec[0] = OL_T1.get_current_LA() # storing the initial value of the guide vane opening\n",
|
||||
"\n",
|
||||
"# UL KW\n",
|
||||
"UL_T1_LA_soll_vec = np.zeros_like(t_vec) # for storing the target value of the guide vane opening\n",
|
||||
"UL_T1_LA_soll_vec[0] = UL_T1.get_current_LA() # storing the initial value of the guide vane opening\n",
|
||||
"\n",
|
||||
"UL_T1_LA_ist_vec = np.zeros_like(t_vec) # for storing the actual value of the guide vane opening\n",
|
||||
"UL_T1_LA_ist_vec[0] = UL_T1.get_current_LA() # storing the initial value of the guide vane opening\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 21,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"# # code cell 6\n",
|
||||
"# # displaying the guide vane openings\n",
|
||||
"# # for plot in separate window\n",
|
||||
"# %matplotlib qt5 \n",
|
||||
"\n",
|
||||
"# fig0,axs0 = plt.subplots(1,1)\n",
|
||||
"# axs0.set_title('LA')\n",
|
||||
"# axs0.plot(t_vec,100*OL_T1_LA_soll_vec,label='OL_T1 Target',c='b')\n",
|
||||
"# axs0.scatter(t_vec[::200],100*OL_T1_LA_soll_vec[::200],c='b',marker='+') # plot only every 200th value\n",
|
||||
"# # axs0.plot(t_vec,100*UL_T1_LA_soll_vec,label='UL_T1 Target',c='r')\n",
|
||||
"# # axs0.scatter(t_vec[::200],100*UL_T1_LA_soll_vec[::200],c='r',marker='+')\n",
|
||||
"# # axs0.plot(t_vec,100*UL_T2_LA_soll_vec,label='UL_T2 Target',c='k')\n",
|
||||
"# axs0.set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
|
||||
"# axs0.set_ylabel(r'$LA$ [%]')\n",
|
||||
"# axs0.legend()\n",
|
||||
"# plt.pause(2)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 22,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"# # code cell 7\n",
|
||||
"# # create the figure in which the evolution of the pipeline will be displayed\n",
|
||||
"# %matplotlib qt5\n",
|
||||
"\n",
|
||||
"# # create a figure and subplots to display the velocity and pressure distribution across the pipeline in each pipeline step\n",
|
||||
"# fig1,axs1 = plt.subplots(3,1)\n",
|
||||
"# fig1.suptitle(str(0) +' s / '+str(round(t_vec[-1],2)) + ' s' )\n",
|
||||
"# axs1[0].set_title('Pressure distribution in pipeline')\n",
|
||||
"# axs1[0].set_xlabel(r'$x$ [$\\mathrm{m}$]')\n",
|
||||
"# axs1[0].set_ylabel(r'$p$ ['+pUnit_conv+']')\n",
|
||||
"# axs1[0].set_ylim([-2,Pip_head+30])\n",
|
||||
"# axs1[1].set_title('Pressure distribution in pipeline \\n Difference to t=0')\n",
|
||||
"# axs1[1].set_xlabel(r'$x$ [$\\mathrm{m}$]')\n",
|
||||
"# axs1[1].set_ylabel(r'$p$ ['+pUnit_conv+']')\n",
|
||||
"# axs1[1].set_ylim([-40,20])\n",
|
||||
"# axs1[2].set_title('Flux distribution in pipeline')\n",
|
||||
"# axs1[2].set_xlabel(r'$x$ [$\\mathrm{m}$]')\n",
|
||||
"# axs1[2].set_ylabel(r'$Q$ [$\\mathrm{m}^3 / \\mathrm{s}$]')\n",
|
||||
"# axs1[2].set_ylim([-1,10])\n",
|
||||
"# # create line objects (lo) whoes values can be updated in time loop to animate the evolution\n",
|
||||
"# lo_0, = axs1[0].plot(Pip_x_vec,pressure_conversion(p_old,pUnit_calc, pUnit_conv),marker='.')\n",
|
||||
"# lo_0min, = axs1[0].plot(Pip_x_vec,pressure_conversion(pipe.get_lowest_pressure_per_node(),pUnit_calc,pUnit_conv),c='red')\n",
|
||||
"# lo_0max, = axs1[0].plot(Pip_x_vec,pressure_conversion(pipe.get_highest_pressure_per_node(),pUnit_calc,pUnit_conv),c='red')\n",
|
||||
"# lo_1, = axs1[1].plot(Pip_x_vec,pressure_conversion(p_old-p_0,pUnit_calc, pUnit_conv),marker='.')\n",
|
||||
"# lo_1min, = axs1[1].plot(Pip_x_vec,pressure_conversion(pipe.get_lowest_pressure_per_node()-p_0,pUnit_calc,pUnit_conv),c='red')\n",
|
||||
"# lo_1max, = axs1[1].plot(Pip_x_vec,pressure_conversion(pipe.get_highest_pressure_per_node()-p_0,pUnit_calc,pUnit_conv),c='red')\n",
|
||||
"# lo_2, = axs1[1].plot(Pip_x_vec,Q_old,marker='.')\n",
|
||||
"# lo_2min, = axs1[2].plot(Pip_x_vec,pipe.get_lowest_flux_per_node(),c='red')\n",
|
||||
"# lo_2max, = axs1[2].plot(Pip_x_vec,pipe.get_highest_flux_per_node(),c='red')\n",
|
||||
"\n",
|
||||
"# # axs1[0].autoscale()\n",
|
||||
"# # axs1[1].autoscale()\n",
|
||||
"\n",
|
||||
"# fig1.tight_layout()\n",
|
||||
"# fig1.show()\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"# Adaptions to fit specific project \n",
|
||||
"- in line 10 OL_p_pseudo is used"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 23,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"# code cell 8\n",
|
||||
"# time loop\n",
|
||||
"# needed for turbine convergence\n",
|
||||
"convergence_parameters = [p_old[-2],v_old[-2],Pip_dia,Pip_area,Pip_angle,Pip_f_D,Pip_pw_vel,rho,Pip_dt,p_old[-1]]\n",
|
||||
"\n",
|
||||
"# loop through time steps of the pipeline\n",
|
||||
"for it_pipe in range(1,nt+1):\n",
|
||||
"\n",
|
||||
" # update OL_KW and the influx into the reservoir\n",
|
||||
" KW_OL.update_LAs([OL_T1_LA_soll_vec[it_pipe]])\n",
|
||||
" KW_OL.set_pressure(OL_p_pseudo)\n",
|
||||
" Q_in_vec[it_pipe] = KW_OL.get_current_Q()\n",
|
||||
" reservoir.set_influx(Q_in_vec[it_pipe])\n",
|
||||
"\n",
|
||||
"# for each pipeline timestep, execute Res_nt timesteps of the reservoir code\n",
|
||||
" # set initial condition for the reservoir time evolution calculted with the timestep_reservoir_evolution() method\n",
|
||||
" reservoir.set_pressure(p_old[0],display_warning=False)\n",
|
||||
" reservoir.set_outflux(Q_old[0],display_warning=False)\n",
|
||||
" # calculate the time evolution of the reservoir level within each pipeline timestep to avoid runaway numerical error\n",
|
||||
" for it_res in range(Res_nt):\n",
|
||||
" reservoir.timestep_reservoir_evolution() \n",
|
||||
" # save the level and the volume in the reservoir \n",
|
||||
" level_vec[it_pipe] = reservoir.get_current_level() \n",
|
||||
" volume_vec[it_pipe] = reservoir.get_current_volume() \n",
|
||||
"\n",
|
||||
" # update target value for UL_KW from the level controller\n",
|
||||
" level_control.update_control_variable(level_vec[it_pipe])\n",
|
||||
" UL_T1_LA_soll_vec[it_pipe] = level_control.get_current_control_variable() \n",
|
||||
" \n",
|
||||
" # change the guide vane opening based on the target value and closing time limitation\n",
|
||||
" KW_UL.update_LAs([UL_T1_LA_soll_vec[it_pipe]])\n",
|
||||
" # save the actual guide vane openings\n",
|
||||
" OL_T1_LA_ist_vec[it_pipe] = KW_OL.get_current_LAs()\n",
|
||||
" UL_T1_LA_ist_vec[it_pipe] = KW_UL.get_current_LAs()\n",
|
||||
"\n",
|
||||
" # set boundary condition for the next timestep of the characteristic method\n",
|
||||
" convergence_parameters[0] = p_old[-2]\n",
|
||||
" convergence_parameters[1] = v_old[-2]\n",
|
||||
" convergence_parameters[9] = p_old[-1]\n",
|
||||
" KW_UL.set_pressure(p_old[-1])\n",
|
||||
" # use the convergence method to avoid numerical errors\n",
|
||||
" KW_UL.converge(convergence_parameters)\n",
|
||||
" # save the first set of boundary conditions\n",
|
||||
" p_boundary_res[it_pipe] = reservoir.get_current_pressure()\n",
|
||||
" v_boundary_tur[it_pipe] = 1/Pip_area*KW_UL.get_current_Q()\n",
|
||||
" Q_boundary_tur[it_pipe] = KW_UL.get_current_Q()\n",
|
||||
"\n",
|
||||
" # set the the boundary condition in the pipe and thereby calculate boundary pressure at turbine\n",
|
||||
" pipe.set_boundary_conditions_next_timestep(p_boundary_res[it_pipe],v_boundary_tur[it_pipe])\n",
|
||||
" # save the second set of boundary conditions\n",
|
||||
" p_boundary_tur[it_pipe] = pipe.get_current_pressure_distribution()[-1]\n",
|
||||
" v_boundary_res[it_pipe] = pipe.get_current_velocity_distribution()[0]\n",
|
||||
" Q_boundary_res[it_pipe] = pipe.get_current_flux_distribution()[0]\n",
|
||||
"\n",
|
||||
" # perform the next timestep via the characteristic method\n",
|
||||
" # use vectorized method for performance\n",
|
||||
" pipe.timestep_characteristic_method_vectorized()\n",
|
||||
"\n",
|
||||
" # prepare for next loop\n",
|
||||
" p_old = pipe.get_current_pressure_distribution()\n",
|
||||
" v_old = pipe.get_current_velocity_distribution()\n",
|
||||
" Q_old = pipe.get_current_flux_distribution()\n",
|
||||
"\n",
|
||||
" # # plot some stuff\n",
|
||||
" # # remove line-objects to autoscale axes (there is definetly a better way, but this works ¯\\_(ツ)_/¯ )\n",
|
||||
" # if it_pipe%50 == 0: # only plot every 50th iteration for performance reasons (plotting takes the most amount of time)\n",
|
||||
" # lo_0.remove()\n",
|
||||
" # lo_0min.remove()\n",
|
||||
" # lo_0max.remove()\n",
|
||||
" # lo_1.remove()\n",
|
||||
" # lo_1min.remove()\n",
|
||||
" # lo_1max.remove()\n",
|
||||
" # lo_2.remove()\n",
|
||||
" # lo_2min.remove()\n",
|
||||
" # lo_2max.remove()\n",
|
||||
" # # plot new pressure and velocity distribution in the pipeline\n",
|
||||
" # lo_0, = axs1[0].plot(Pip_x_vec,pressure_conversion(pipe.get_current_pressure_distribution(),pUnit_calc,pUnit_conv),marker='.',c='blue')\n",
|
||||
" # lo_0min, = axs1[0].plot(Pip_x_vec,pressure_conversion(pipe.get_lowest_pressure_per_node(),pUnit_calc,pUnit_conv),c='red')\n",
|
||||
" # lo_0max, = axs1[0].plot(Pip_x_vec,pressure_conversion(pipe.get_highest_pressure_per_node(),pUnit_calc,pUnit_conv),c='red') \n",
|
||||
" # lo_1, = axs1[1].plot(Pip_x_vec,pressure_conversion(pipe.get_current_pressure_distribution()-p_0,pUnit_calc,pUnit_conv),marker='.',c='blue')\n",
|
||||
" # lo_1min, = axs1[1].plot(Pip_x_vec,pressure_conversion(pipe.get_lowest_pressure_per_node()-p_0,pUnit_calc,pUnit_conv),c='red')\n",
|
||||
" # lo_1max, = axs1[1].plot(Pip_x_vec,pressure_conversion(pipe.get_highest_pressure_per_node()-p_0,pUnit_calc,pUnit_conv),c='red')\n",
|
||||
" # lo_2, = axs1[2].plot(Pip_x_vec,pipe.get_current_flux_distribution(),marker='.',c='blue')\n",
|
||||
" # lo_2min, = axs1[2].plot(Pip_x_vec,pipe.get_lowest_flux_per_node(),c='red')\n",
|
||||
" # lo_2max, = axs1[2].plot(Pip_x_vec,pipe.get_highest_flux_per_node(),c='red')\n",
|
||||
" # fig1.suptitle(str(round(t_vec[it_pipe],2))+ ' s / '+str(round(t_vec[-1],2)) + ' s' )\n",
|
||||
" # fig1.canvas.draw() # force figure output\n",
|
||||
" # fig1.tight_layout()\n",
|
||||
" # fig1.show()\n",
|
||||
" # plt.pause(0.1) "
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 24,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"# # code cell 9\n",
|
||||
"# # plot some stuff in separate windows\n",
|
||||
"\n",
|
||||
"# level_plot_min = 0\n",
|
||||
"# level_plot_max = 3\n",
|
||||
"# volume_plot_min = level_plot_min*Res_area_base\n",
|
||||
"# volume_plot_max = level_plot_max*Res_area_base\n",
|
||||
"\n",
|
||||
"# fig2,axs2 = plt.subplots(1,1)\n",
|
||||
"# axs2.set_title('Level and Volume reservoir')\n",
|
||||
"# axs2.plot(t_vec,level_vec,label='level')\n",
|
||||
"# axs2.plot(t_vec,np.full_like(t_vec,Res_level_crit_lo),label='level_limit',c='r')\n",
|
||||
"# axs2.set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
|
||||
"# axs2.set_ylabel(r'$h$ [m]')\n",
|
||||
"# axs2.set_ylim(level_plot_min,level_plot_max)\n",
|
||||
"# x_twin_00 = axs2.twinx()\n",
|
||||
"# x_twin_00.set_ylabel(r'$V$ [$\\mathrm{m}^3$]')\n",
|
||||
"# x_twin_00.plot(t_vec,volume_vec)\n",
|
||||
"# x_twin_00.set_ylim(volume_plot_min,volume_plot_max)\n",
|
||||
"# axs2.legend()\n",
|
||||
"\n",
|
||||
"# fig2,axs2 = plt.subplots(1,1)\n",
|
||||
"# axs2.set_title('LA')\n",
|
||||
"# axs2.plot(t_vec,100*OL_T1_LA_soll_vec,label='OL_T1 Target',c='b')\n",
|
||||
"# axs2.scatter(t_vec[::200],100*OL_T1_LA_ist_vec[::200],label='OL_T1 Actual',c='b',marker='+')\n",
|
||||
"# axs2.plot(t_vec,100*OL_T2_LA_soll_vec,label='OL_T2 Target',c='g')\n",
|
||||
"# axs2.scatter(t_vec[::200],100*OL_T2_LA_ist_vec[::200],label='OL_T2 Actual',c='g',marker='+')\n",
|
||||
"# axs2.plot(t_vec,100*UL_T1_LA_soll_vec,label='UL_T1 Target',c='r')\n",
|
||||
"# axs2.scatter(t_vec[::200],100*UL_T1_LA_ist_vec[::200],label='UL_T1 Actual',c='r',marker='+')\n",
|
||||
"# axs2.plot(t_vec,100*UL_T2_LA_soll_vec,label='UL_T2 Target',c='k')\n",
|
||||
"# axs2.scatter(t_vec[::200],100*UL_T2_LA_ist_vec[::200],label='UL_T2 Actual',c='k',marker='+')\n",
|
||||
"# axs2.set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
|
||||
"# axs2.set_ylabel(r'$LA$ [%]')\n",
|
||||
"# axs2.legend()\n",
|
||||
"\n",
|
||||
"# fig2,axs2 = plt.subplots(1,1)\n",
|
||||
"# axs2.set_title('Pressure change vs t=0 at reservoir and turbine')\n",
|
||||
"# axs2.plot(t_vec,pressure_conversion(p_boundary_res-p_boundary_res[0],pUnit_calc, pUnit_conv),label='Reservoir')\n",
|
||||
"# axs2.plot(t_vec,pressure_conversion(p_boundary_tur-p_boundary_tur[0],pUnit_calc, pUnit_conv),label='Turbine')\n",
|
||||
"# axs2.set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
|
||||
"# axs2.set_ylabel(r'$p$ ['+pUnit_conv+']')\n",
|
||||
"# axs2.legend()\n",
|
||||
"\n",
|
||||
"# fig2,axs2 = plt.subplots(1,1)\n",
|
||||
"# axs2.set_title('Fluxes')\n",
|
||||
"# axs2.plot(t_vec,Q_in_vec,label='Influx')\n",
|
||||
"# axs2.plot(t_vec,Q_boundary_res,label='Outflux')\n",
|
||||
"# axs2.scatter(t_vec[::200],Q_boundary_tur[::200],label='Flux Turbine',c='g',marker='+')\n",
|
||||
"# axs2.set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
|
||||
"# axs2.set_ylabel(r'$Q$ [$\\mathrm{m}^3/\\mathrm{s}$]')\n",
|
||||
"# axs2.legend()\n",
|
||||
"\n",
|
||||
"# fig2,axs2 = plt.subplots(1,1)\n",
|
||||
"# axs2.set_title('Min and Max Pressure')\n",
|
||||
"# axs2.plot(Pip_x_vec,pipe.get_lowest_pressure_per_node(disp_flag=True),c='red')\n",
|
||||
"# axs2.plot(Pip_x_vec,pipe.get_highest_pressure_per_node(disp_flag=True),c='red')\n",
|
||||
"# axs2.set_xlabel(r'$x$ [$\\mathrm{m}$]')\n",
|
||||
"# axs2.set_ylabel(r'$p$ ['+pUnit_conv+']')\n",
|
||||
"\n",
|
||||
"# fig2,axs2 = plt.subplots(1,1)\n",
|
||||
"# axs2.set_title('Min and Max Fluxes')\n",
|
||||
"# axs2.plot(Pip_x_vec,pipe.get_lowest_flux_per_node(),c='red')\n",
|
||||
"# axs2.plot(Pip_x_vec,pipe.get_highest_flux_per_node(),c='red')\n",
|
||||
"# axs2.set_xlabel(r'$x$ [$\\mathrm{m}$]')\n",
|
||||
"# axs2.set_ylabel(r'$Q$ [$\\mathrm{m}^3/\\mathrm{s}$]')\n",
|
||||
"\n",
|
||||
"# fig2.tight_layout()\n",
|
||||
"# plt.show()\n",
|
||||
"# # plt.close()\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"# Adaptions to fit specific project \n",
|
||||
"- change level_plot_min and _max\n",
|
||||
"- check that folder for saving figures is present in same directory as this file\n",
|
||||
"- change name of the saved file in line 54: Vorlage -> ..."
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 25,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"# code cell 10\n",
|
||||
"# code for plotting and safing the figures generated in the loop\n",
|
||||
"\n",
|
||||
"level_plot_min = 0\n",
|
||||
"level_plot_max = 3\n",
|
||||
"volume_plot_min = level_plot_min*Res_area_base\n",
|
||||
"volume_plot_max = level_plot_max*Res_area_base\n",
|
||||
"\n",
|
||||
"fig3,axs3 = plt.subplots(2,2,figsize=(16,9))\n",
|
||||
"fig3.suptitle('Fläche = '+str(Res_area_base)+'\\n'+'Kp = '+str(Con_K_p)+' Ti = '+str(Con_T_i))\n",
|
||||
"axs3[0,0].set_title('Level and Volume reservoir')\n",
|
||||
"axs3[0,0].plot(t_vec,level_vec,label='level')\n",
|
||||
"axs3[0,0].plot(t_vec,np.full_like(t_vec,Res_level_crit_lo),label='level_limit',c='r')\n",
|
||||
"axs3[0,0].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
|
||||
"axs3[0,0].set_ylabel(r'$h$ [m]')\n",
|
||||
"axs3[0,0].set_ylim(level_plot_min,level_plot_max)\n",
|
||||
"x_twin_00 = axs3[0,0].twinx()\n",
|
||||
"x_twin_00.set_ylabel(r'$V$ [$\\mathrm{m}^3$]')\n",
|
||||
"x_twin_00.plot(t_vec,volume_vec)\n",
|
||||
"x_twin_00.set_ylim(volume_plot_min,volume_plot_max)\n",
|
||||
"axs3[0,0].legend()\n",
|
||||
"\n",
|
||||
"axs3[0,1].set_title('LA')\n",
|
||||
"axs3[0,1].plot(t_vec,100*OL_T1_LA_soll_vec,label='OL_T1 Target',c='b')\n",
|
||||
"axs3[0,1].scatter(t_vec[::200],100*OL_T1_LA_ist_vec[::200],label='OL_T1 Actual',c='b',marker='+')\n",
|
||||
"axs3[0,1].plot(t_vec,100*UL_T1_LA_soll_vec,label='UL_T1 Target',c='r')\n",
|
||||
"axs3[0,1].scatter(t_vec[::200],100*UL_T1_LA_ist_vec[::200],label='UL_T1 Actual',c='r',marker='+')\n",
|
||||
"axs3[0,1].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
|
||||
"axs3[0,1].set_ylabel(r'$LA$ [%]')\n",
|
||||
"axs3[0,1].legend()\n",
|
||||
"\n",
|
||||
"axs3[1,0].set_title('Fluxes')\n",
|
||||
"axs3[1,0].plot(t_vec,Q_in_vec,label='Influx')\n",
|
||||
"axs3[1,0].plot(t_vec,Q_boundary_res,label='Outflux')\n",
|
||||
"axs3[1,0].scatter(t_vec[::200],Q_boundary_tur[::200],label='Flux Turbine',c='g',marker='+')\n",
|
||||
"axs3[1,0].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
|
||||
"axs3[1,0].set_ylabel(r'$Q$ [$\\mathrm{m}^3/\\mathrm{s}$]')\n",
|
||||
"axs3[1,0].legend()\n",
|
||||
"\n",
|
||||
"axs3[1,1].set_title('Pressure change vs t=0 at reservoir and turbine')\n",
|
||||
"axs3[1,1].plot(t_vec,pressure_conversion(p_boundary_res-p_boundary_res[0],pUnit_calc, pUnit_conv),label='Reservoir')\n",
|
||||
"axs3[1,1].plot(t_vec,pressure_conversion(p_boundary_tur-p_boundary_tur[0],pUnit_calc, pUnit_conv),label='Turbine')\n",
|
||||
"axs3[1,1].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
|
||||
"axs3[1,1].set_ylabel(r'$p$ ['+pUnit_conv+']')\n",
|
||||
"axs3[1,1].legend()\n",
|
||||
"\n",
|
||||
"fig3.tight_layout()\n",
|
||||
"plt.show()\n",
|
||||
"\n",
|
||||
"# figname = 'Simulation Vorlage\\KW_Vorlage_Fläche_'+str(Res_area_base)+'_Kp_'+str(round(Con_K_p,1))+'_Ti_'+str(Con_T_i)+'.png'\n",
|
||||
"# fig3.savefig(figname)"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Python 3.8.13 ('Georg_DT_Slot3')",
|
||||
"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": "3.8.13"
|
||||
},
|
||||
"orig_nbformat": 4,
|
||||
"vscode": {
|
||||
"interpreter": {
|
||||
"hash": "84fb123bdc47ab647d3782661abcbe80fbb79236dd2f8adf4cef30e8755eb2cd"
|
||||
}
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 2
|
||||
}
|
||||
328
KW Lamnitz_Loop.py
Normal file
328
KW Lamnitz_Loop.py
Normal file
@@ -0,0 +1,328 @@
|
||||
# code cell 0
|
||||
import os
|
||||
import sys
|
||||
from datetime import datetime
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
|
||||
current = os.path.dirname(os.path.realpath('Main_Programm.ipynb'))
|
||||
parent = os.path.dirname(current)
|
||||
sys.path.append(parent)
|
||||
from Ausgleichsbecken.Ausgleichsbecken_class_file import Ausgleichsbecken_class
|
||||
from Druckrohrleitung.Druckrohrleitung_class_file import Druckrohrleitung_class
|
||||
from functions.pressure_conversion import pressure_conversion
|
||||
from Kraftwerk.Kraftwerk_class_file import Kraftwerk_class
|
||||
from Regler.Regler_class_file import PI_controller_class
|
||||
from Turbinen.Turbinen_class_file import Francis_Turbine
|
||||
|
||||
# code cell 1
|
||||
# for loop creation
|
||||
|
||||
Area_list = np.round(np.arange(20.,30.,5.),1)
|
||||
Kp_list = np.round(np.arange(0.7,1.3,0.2),1)
|
||||
Ti_list = np.round(np.arange(200.,220.,25.),1)
|
||||
|
||||
# # if one wants to use the loop to save 1 specific configuration:
|
||||
# desired_area = 60
|
||||
# desired_KP = 0.7
|
||||
# desired_ti = 200.
|
||||
|
||||
# Area_list = np.round(np.arange(desired_area,desired_area+1.,1.),1)
|
||||
# Kp_list = np.round(np.arange(desired_KP,desired_KP+1.,1),1)
|
||||
# Ti_list = np.round(np.arange(desired_ti,desired_ti+1.,1.),1)
|
||||
|
||||
for i in range(np.size(Area_list)):
|
||||
for j in range(np.size(Kp_list)):
|
||||
for k in range(np.size(Ti_list)):
|
||||
now = datetime.now()
|
||||
current_time = now.strftime("%H:%M:%S")
|
||||
print("Current Time =", current_time)
|
||||
|
||||
print('i = ',i, '/ ', str(np.size(Area_list)-1))
|
||||
print('j = ',j, '/ ', str(np.size(Kp_list)-1))
|
||||
print('k = ',k, '/ ', str(np.size(Ti_list)-1))
|
||||
print('area = ',Area_list[i])
|
||||
print('K_p = ',Kp_list[j])
|
||||
print('T_i = ',Ti_list[k])
|
||||
|
||||
with open('log.txt','a') as f:
|
||||
f.write("Current Time =" + current_time + '\n')
|
||||
f.write('i = '+str(i)+ '/ '+ str(np.size(Area_list)-1)+ '\n')
|
||||
f.write('j = '+str(j)+ '/ '+ str(np.size(Kp_list)-1)+ '\n')
|
||||
f.write('k = '+str(k)+ '/ '+ str(np.size(Ti_list)-1)+ '\n')
|
||||
f.write('area = '+str(Area_list[i])+ '\n')
|
||||
f.write('K_p = '+str(Kp_list[j])+ '\n')
|
||||
f.write('T_i = '+str(Ti_list[k])+ '\n')
|
||||
|
||||
|
||||
# code cell 2
|
||||
# define constants
|
||||
|
||||
# for physics
|
||||
g = 9.81 # [m/s²] gravitational acceleration
|
||||
rho = 0.9982067*1e3 # [kg/m³] density of water
|
||||
pUnit_calc = 'Pa' # [string] DO NOT CHANGE! for pressure conversion in print statements and plot labels
|
||||
pUnit_conv = 'mWS' # [string] for pressure conversion in print statements and plot labels
|
||||
|
||||
# for KW OL
|
||||
OL_T1_Q_nenn = 1.0 # [m³/s] nominal flux of turbine
|
||||
OL_T1_p_nenn = pressure_conversion(1,'bar',pUnit_calc) # [Pa] nominal pressure of turbine ## p_nenn wird konstant gehalten, Wert ist also fiktiv
|
||||
OL_p_pseudo = 1.1*OL_T1_p_nenn # ficticious pressure applied to OL turbines to avoid LA>1 error caused by unfortunate rounding
|
||||
OL_T1_closingTime = 600. # [s] closing time of turbine
|
||||
|
||||
# for KW UL
|
||||
UL_T1_Q_nenn = 1.1 # [m³/s] nominal flux of turbine
|
||||
UL_T1_p_nenn = pressure_conversion(120.,'mWS',pUnit_calc) # [Pa] nominal pressure of turbine
|
||||
UL_T1_closingTime = 60. # [s] closing time of turbine
|
||||
|
||||
# for PI controller
|
||||
Con_targetLevel = 1.25 # [m] target level of the PI controller
|
||||
Con_K_p = Kp_list[j] # [-] proportionality constant of PI controller
|
||||
Con_T_i = Ti_list[k] # [s] timespan in which a steady state error is corrected by the intergal term
|
||||
Con_deadbandRange = 0.00 # [m] Deadband range around targetLevel for which the controller does NOT intervene
|
||||
|
||||
# for pipeline
|
||||
Pip_length = 2000. # [m] length of pipeline
|
||||
Pip_dia = 0.9 # [m] diameter of pipeline
|
||||
Pip_area = Pip_dia**2/4*np.pi # [m²] crossectional area of pipeline
|
||||
Pip_head = 130. # [m] hydraulic head of pipeline without reservoir
|
||||
Pip_angle = np.arcsin(Pip_head/Pip_length) # [rad] elevation angle of pipeline
|
||||
Pip_n_seg = 50 # [-] number of pipe segments in discretization
|
||||
Pip_f_D = 0.015 # [-] Darcy friction factor
|
||||
Pip_pw_vel = 600. # [m/s] propagation velocity of the pressure wave (pw) in the given pipeline
|
||||
# derivatives of the pipeline constants
|
||||
Pip_dx = Pip_length/Pip_n_seg # [m] length of each pipe segment
|
||||
Pip_dt = Pip_dx/Pip_pw_vel # [s] timestep according to method of characteristics
|
||||
Pip_nn = Pip_n_seg+1 # [1] number of nodes
|
||||
Pip_x_vec = np.arange(0,Pip_nn,1)*Pip_dx # [m] vector holding the distance of each node from the upstream reservoir along the pipeline
|
||||
Pip_h_vec = np.arange(0,Pip_nn,1)*Pip_head/Pip_n_seg # [m] vector holding the vertical distance of each node from the upstream reservoir
|
||||
|
||||
# for reservoir
|
||||
Res_area_base = Area_list[i] # [m²] total base are of the cuboid reservoir
|
||||
Res_area_out = Pip_area # [m²] outflux area of the reservoir, given by pipeline area
|
||||
Res_level_crit_lo = Con_targetLevel-0.5 # [m] for yet-to-be-implemented warnings
|
||||
Res_level_crit_hi = np.inf # [m] for yet-to-be-implemented warnings
|
||||
Res_dt_approx = 1e-3 # [s] approx. timestep of reservoir time evolution to ensure numerical stability (see Res_nt why approx.)
|
||||
Res_nt = max(1,int(Pip_dt//Res_dt_approx)) # [1] number of timesteps of the reservoir time evolution within one timestep of the pipeline
|
||||
Res_dt = Pip_dt/Res_nt # [s] harmonised timestep of reservoir time evolution
|
||||
|
||||
# for general simulation
|
||||
flux_init = OL_T1_Q_nenn # [m³/s] initial flux through whole system for steady state initialization
|
||||
#OL_LAs_init = [1.,0.3] # [vec] initial guide vane openings of OL-KW
|
||||
level_init = Con_targetLevel # [m] initial water level in upstream reservoir for steady state initialization
|
||||
simTime_target = 1200. # [s] target for total simulation time (will vary slightly to fit with Pip_dt)
|
||||
nt = int(simTime_target//Pip_dt) # [1] Number of timesteps of the whole system
|
||||
t_vec = np.arange(0,nt+1,1)*Pip_dt # [s] time vector. At each step of t_vec the system parameters are stored
|
||||
|
||||
|
||||
# code cell 3
|
||||
# create objects
|
||||
|
||||
# influx setting turbines
|
||||
OL_T1 = Francis_Turbine(OL_T1_Q_nenn,OL_T1_p_nenn,OL_T1_closingTime,Pip_dt,pUnit_conv)
|
||||
|
||||
KW_OL = Kraftwerk_class()
|
||||
KW_OL.add_turbine(OL_T1)
|
||||
|
||||
KW_OL.set_steady_state_by_flux(flux_init,OL_p_pseudo)
|
||||
|
||||
# KW_OL.set_steady_state_by_LA(OL_LAs_init,OL_p_pseudo)
|
||||
# flux_init = KW_OL.get_current_Q()
|
||||
|
||||
# Upstream reservoir
|
||||
reservoir = Ausgleichsbecken_class(Res_area_base,Res_area_out,Res_dt,pUnit_conv,Res_level_crit_lo,Res_level_crit_hi,rho)
|
||||
reservoir.set_steady_state(flux_init,level_init)
|
||||
|
||||
# pipeline
|
||||
pipe = Druckrohrleitung_class(Pip_length,Pip_dia,Pip_head,Pip_n_seg,Pip_f_D,Pip_pw_vel,Pip_dt,pUnit_conv,rho)
|
||||
pipe.set_steady_state(flux_init,reservoir.get_current_pressure())
|
||||
|
||||
# downstream turbines
|
||||
UL_T1 = Francis_Turbine(UL_T1_Q_nenn,UL_T1_p_nenn,UL_T1_closingTime,Pip_dt,pUnit_conv)
|
||||
|
||||
KW_UL = Kraftwerk_class()
|
||||
KW_UL.add_turbine(UL_T1)
|
||||
|
||||
KW_UL.set_steady_state_by_flux(flux_init,pipe.get_current_pressure_distribution()[-1])
|
||||
|
||||
# level controller
|
||||
level_control = PI_controller_class(Con_targetLevel,Con_deadbandRange,Con_K_p,Con_T_i,Pip_dt)
|
||||
level_control.set_control_variable(UL_T1.get_current_LA(),display_warning=False)
|
||||
|
||||
|
||||
# code cell 5
|
||||
# initialization for Timeloop
|
||||
|
||||
# OL KW
|
||||
# manual input to modulate influx
|
||||
OL_T1_LA_soll_vec = np.full_like(t_vec,OL_T1.get_current_LA()) # storing the target value for the guide van opening
|
||||
OL_T1_LA_soll_vec[np.argmin(np.abs(t_vec-100)):] = 0. # changing the target value for the guide vane opening at t = 100 s
|
||||
OL_T1_LA_soll_vec[np.argmin(np.abs(t_vec-600)):] = OL_T1_LA_soll_vec[0] # changing the target value for the guide vane opening at t = 600 s
|
||||
|
||||
# creating a bunch of vectors that are used to store usefull information - either for analysis or for the following step in the timeloop
|
||||
|
||||
# reservoir
|
||||
Q_in_vec = np.zeros_like(t_vec) # for storing the influx to the reservoir
|
||||
Q_in_vec[0] = flux_init # storing the initial influx to the reservoir
|
||||
# Outflux from reservoir is stored in Q_boundary_res
|
||||
level_vec = np.zeros_like(t_vec) # for storing the level in the reservoir at the end of each pipeline timestep
|
||||
level_vec[0] = level_init # storing the initial level in the reservoir
|
||||
volume_vec = np.zeros_like(t_vec) # for storing the volume in the reservoir at the end of each pipeline timestep
|
||||
volume_vec[0] = reservoir.get_current_volume() # storing the initial volume in the reservoir
|
||||
|
||||
# pipeline
|
||||
v_old = pipe.get_current_velocity_distribution() # for storing the velocity from the last timestep
|
||||
v_min = pipe.get_lowest_velocity_per_node() # for storing minimal flux velocity at each node
|
||||
v_max = pipe.get_highest_velocity_per_node() # for storing maximal flux velocity at each node
|
||||
Q_old = pipe.get_current_flux_distribution() # for storing the flux from the last timestep
|
||||
Q_min = pipe.get_lowest_flux_per_node() # for storing minimal flux at each node
|
||||
Q_max = pipe.get_highest_flux_per_node() # for storing maximal flux at each node
|
||||
p_old = pipe.get_current_pressure_distribution() # for storing the pressure from the last timestep
|
||||
p_min = pipe.get_lowest_pressure_per_node() # for storing minimal pressure at each node
|
||||
p_max = pipe.get_highest_pressure_per_node() # for storing maximal pressure at each node
|
||||
p_0 = pipe.get_initial_pressure_distribution() # storing initial pressure at each node
|
||||
|
||||
v_boundary_res = np.zeros_like(t_vec) # for storing the boundary velocity at the reservoir
|
||||
v_boundary_tur = np.zeros_like(t_vec) # for storing the boundary velocity at the turbine
|
||||
Q_boundary_res = np.zeros_like(t_vec) # for storing the boundary flux at the reservoir
|
||||
Q_boundary_tur = np.zeros_like(t_vec) # for storing the boundary flux at the turbine
|
||||
p_boundary_res = np.zeros_like(t_vec) # for storing the boundary pressure at the reservoir
|
||||
p_boundary_tur = np.zeros_like(t_vec) # for storing the boundary pressure at the turbine
|
||||
|
||||
v_boundary_res[0] = v_old[0] # storing the initial value for the boundary velocity at the reservoir
|
||||
v_boundary_tur[0] = v_old[-1] # storing the initial value for the boundary velocity at the turbine
|
||||
Q_boundary_res[0] = Q_old[0] # storing the initial value for the boundary flux at the reservoir
|
||||
Q_boundary_tur[0] = Q_old[-1] # storing the initial value for the boundary flux at the turbine
|
||||
p_boundary_res[0] = p_old[0] # storing the initial value for the boundary pressure at the reservoir
|
||||
p_boundary_tur[0] = p_old[-1] # storing the initial value for the boundary pressure at the turbine
|
||||
|
||||
# OL KW
|
||||
OL_T1_LA_ist_vec = np.zeros_like(t_vec) # for storing the actual value of the guide vane opening
|
||||
OL_T1_LA_ist_vec[0] = OL_T1.get_current_LA() # storing the initial value of the guide vane opening
|
||||
|
||||
# UL KW
|
||||
UL_T1_LA_soll_vec = np.zeros_like(t_vec) # for storing the target value of the guide vane opening
|
||||
UL_T1_LA_soll_vec[0] = UL_T1.get_current_LA() # storing the initial value of the guide vane opening
|
||||
|
||||
UL_T1_LA_ist_vec = np.zeros_like(t_vec) # for storing the actual value of the guide vane opening
|
||||
UL_T1_LA_ist_vec[0] = UL_T1.get_current_LA() # storing the initial value of the guide vane opening
|
||||
|
||||
|
||||
# code cell 8
|
||||
# time loop
|
||||
# needed for turbine convergence
|
||||
convergence_parameters = [p_old[-2],v_old[-2],Pip_dia,Pip_area,Pip_angle,Pip_f_D,Pip_pw_vel,rho,Pip_dt,p_old[-1]]
|
||||
|
||||
# loop through time steps of the pipeline
|
||||
for it_pipe in range(1,nt+1):
|
||||
|
||||
# update OL_KW and the influx into the reservoir
|
||||
KW_OL.update_LAs([OL_T1_LA_soll_vec[it_pipe]])
|
||||
KW_OL.set_pressure(OL_p_pseudo)
|
||||
Q_in_vec[it_pipe] = KW_OL.get_current_Q()
|
||||
reservoir.set_influx(Q_in_vec[it_pipe])
|
||||
|
||||
# for each pipeline timestep, execute Res_nt timesteps of the reservoir code
|
||||
# set initial condition for the reservoir time evolution calculted with the timestep_reservoir_evolution() method
|
||||
reservoir.set_pressure(p_old[0],display_warning=False)
|
||||
reservoir.set_outflux(Q_old[0],display_warning=False)
|
||||
# calculate the time evolution of the reservoir level within each pipeline timestep to avoid runaway numerical error
|
||||
for it_res in range(Res_nt):
|
||||
reservoir.timestep_reservoir_evolution()
|
||||
# save the level and the volume in the reservoir
|
||||
level_vec[it_pipe] = reservoir.get_current_level()
|
||||
volume_vec[it_pipe] = reservoir.get_current_volume()
|
||||
|
||||
# update target value for UL_KW from the level controller
|
||||
level_control.update_control_variable(level_vec[it_pipe])
|
||||
UL_T1_LA_soll_vec[it_pipe] = level_control.get_current_control_variable()
|
||||
|
||||
# change the guide vane opening based on the target value and closing time limitation
|
||||
KW_UL.update_LAs([UL_T1_LA_soll_vec[it_pipe]])
|
||||
# save the actual guide vane openings
|
||||
OL_T1_LA_ist_vec[it_pipe] = KW_OL.get_current_LAs()
|
||||
UL_T1_LA_ist_vec[it_pipe] = KW_UL.get_current_LAs()
|
||||
|
||||
# set boundary condition for the next timestep of the characteristic method
|
||||
convergence_parameters[0] = p_old[-2]
|
||||
convergence_parameters[1] = v_old[-2]
|
||||
convergence_parameters[9] = p_old[-1]
|
||||
KW_UL.set_pressure(p_old[-1])
|
||||
# use the convergence method to avoid numerical errors
|
||||
KW_UL.converge(convergence_parameters)
|
||||
# save the first set of boundary conditions
|
||||
p_boundary_res[it_pipe] = reservoir.get_current_pressure()
|
||||
v_boundary_tur[it_pipe] = 1/Pip_area*KW_UL.get_current_Q()
|
||||
Q_boundary_tur[it_pipe] = KW_UL.get_current_Q()
|
||||
|
||||
# set the the boundary condition in the pipe and thereby calculate boundary pressure at turbine
|
||||
pipe.set_boundary_conditions_next_timestep(p_boundary_res[it_pipe],v_boundary_tur[it_pipe])
|
||||
# save the second set of boundary conditions
|
||||
p_boundary_tur[it_pipe] = pipe.get_current_pressure_distribution()[-1]
|
||||
v_boundary_res[it_pipe] = pipe.get_current_velocity_distribution()[0]
|
||||
Q_boundary_res[it_pipe] = pipe.get_current_flux_distribution()[0]
|
||||
|
||||
# perform the next timestep via the characteristic method
|
||||
# use vectorized method for performance
|
||||
pipe.timestep_characteristic_method_vectorized()
|
||||
|
||||
# prepare for next loop
|
||||
p_old = pipe.get_current_pressure_distribution()
|
||||
v_old = pipe.get_current_velocity_distribution()
|
||||
Q_old = pipe.get_current_flux_distribution()
|
||||
|
||||
|
||||
# code cell 10
|
||||
# code for plotting and safing the figures generated in the loop
|
||||
|
||||
level_plot_min = 0
|
||||
level_plot_max = 3
|
||||
volume_plot_min = level_plot_min*Res_area_base
|
||||
volume_plot_max = level_plot_max*Res_area_base
|
||||
|
||||
fig3,axs3 = plt.subplots(2,2,figsize=(16,9))
|
||||
fig3.suptitle('Fläche = '+str(Res_area_base)+'\n'+'Kp = '+str(Con_K_p)+' Ti = '+str(Con_T_i))
|
||||
axs3[0,0].set_title('Level and Volume reservoir')
|
||||
axs3[0,0].plot(t_vec,level_vec,label='level')
|
||||
axs3[0,0].plot(t_vec,np.full_like(t_vec,Res_level_crit_lo),label='level_limit',c='r')
|
||||
axs3[0,0].set_xlabel(r'$t$ [$\mathrm{s}$]')
|
||||
axs3[0,0].set_ylabel(r'$h$ [m]')
|
||||
axs3[0,0].set_ylim(level_plot_min,level_plot_max)
|
||||
x_twin_00 = axs3[0,0].twinx()
|
||||
x_twin_00.set_ylabel(r'$V$ [$\mathrm{m}^3$]')
|
||||
x_twin_00.plot(t_vec,volume_vec)
|
||||
x_twin_00.set_ylim(volume_plot_min,volume_plot_max)
|
||||
axs3[0,0].legend()
|
||||
|
||||
axs3[0,1].set_title('LA')
|
||||
axs3[0,1].plot(t_vec,100*OL_T1_LA_soll_vec,label='OL_T1 Target',c='b')
|
||||
axs3[0,1].scatter(t_vec[::200],100*OL_T1_LA_ist_vec[::200],label='OL_T1 Actual',c='b',marker='+')
|
||||
axs3[0,1].plot(t_vec,100*UL_T1_LA_soll_vec,label='UL_T1 Target',c='r')
|
||||
axs3[0,1].scatter(t_vec[::200],100*UL_T1_LA_ist_vec[::200],label='UL_T1 Actual',c='r',marker='+')
|
||||
axs3[0,1].set_xlabel(r'$t$ [$\mathrm{s}$]')
|
||||
axs3[0,1].set_ylabel(r'$LA$ [%]')
|
||||
axs3[0,1].legend()
|
||||
|
||||
axs3[1,0].set_title('Fluxes')
|
||||
axs3[1,0].plot(t_vec,Q_in_vec,label='Influx')
|
||||
axs3[1,0].plot(t_vec,Q_boundary_res,label='Outflux')
|
||||
axs3[1,0].scatter(t_vec[::200],Q_boundary_tur[::200],label='Flux Turbine',c='g',marker='+')
|
||||
axs3[1,0].set_xlabel(r'$t$ [$\mathrm{s}$]')
|
||||
axs3[1,0].set_ylabel(r'$Q$ [$\mathrm{m}^3/\mathrm{s}$]')
|
||||
axs3[1,0].legend()
|
||||
|
||||
axs3[1,1].set_title('Pressure change vs t=0 at reservoir and turbine')
|
||||
axs3[1,1].plot(t_vec,pressure_conversion(p_boundary_res-p_boundary_res[0],pUnit_calc, pUnit_conv),label='Reservoir')
|
||||
axs3[1,1].plot(t_vec,pressure_conversion(p_boundary_tur-p_boundary_tur[0],pUnit_calc, pUnit_conv),label='Turbine')
|
||||
axs3[1,1].set_xlabel(r'$t$ [$\mathrm{s}$]')
|
||||
axs3[1,1].set_ylabel(r'$p$ ['+pUnit_conv+']')
|
||||
axs3[1,1].legend()
|
||||
|
||||
fig3.tight_layout()
|
||||
plt.close()
|
||||
|
||||
figname = 'Simulation Lamnitz\KW_Lamnitz_Fläche_'+str(Res_area_base)+'_Kp_'+str(round(Con_K_p,1))+'_Ti_'+str(Con_T_i)+'.png'
|
||||
fig3.savefig(figname)
|
||||
|
||||
|
||||
@@ -636,7 +636,8 @@
|
||||
"axs2.set_ylabel(r'$Q$ [$\\mathrm{m}^3/\\mathrm{s}$]')\n",
|
||||
"\n",
|
||||
"fig2.tight_layout()\n",
|
||||
"plt.show()"
|
||||
"plt.show()\n",
|
||||
"# plt.close()\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
@@ -715,7 +716,7 @@
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "DT_Slot3",
|
||||
"display_name": "Python 3.8.13 ('Georg_DT_Slot3')",
|
||||
"language": "python",
|
||||
"name": "python3"
|
||||
},
|
||||
@@ -729,12 +730,12 @@
|
||||
"name": "python",
|
||||
"nbconvert_exporter": "python",
|
||||
"pygments_lexer": "ipython3",
|
||||
"version": "3.8.16"
|
||||
"version": "3.8.13"
|
||||
},
|
||||
"orig_nbformat": 4,
|
||||
"vscode": {
|
||||
"interpreter": {
|
||||
"hash": "06e42ed9520aaad7103456df165a31ea40da0f41ac9dffb743274e5e314689f3"
|
||||
"hash": "84fb123bdc47ab647d3782661abcbe80fbb79236dd2f8adf4cef30e8755eb2cd"
|
||||
}
|
||||
}
|
||||
},
|
||||
|
||||
Reference in New Issue
Block a user