Georg_Brantegger/Python-DT_Slot_3
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Brantegger Georg
2022-09-13 14:57:51 +02:00
parent 58d108d44a a78e62f032
commit 4cad0f9ec8
8 changed files with 844 additions and 18 deletions
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1
.gitignore vendored
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@@ -4,3 +4,4 @@
*.pyc
Messing Around/
Messing Around/messy_nb.ipynb
Validation Data/

8
Druckrohrleitung/Druckrohrleitung_test_steady_state.ipynb
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@@ -124,7 +124,11 @@
"v_boundary_res[0] = v_old[0]\n",
"v_boundary_tur[0] = v_old[-1] \n",
"p_boundary_res[0] = p_old[0]\n",
"p_boundary_tur[0] = p_old[-1]\n"
"p_boundary_tur[0] = p_old[-1]\n",
"\n",
"v_boundary_tur[:np.argmin(np.abs(t_vec-100))] = v_old[-1] \n",
"v_boundary_tur[np.argmin(np.abs(t_vec-100)):] = 0\n",
"\n"
]
},
{
@@ -171,7 +175,7 @@
" \n",
" # set boundary conditions for the next timestep of the characteristic method\n",
" p_boundary_res[it_pipe] = reservoir.get_current_pressure()\n",
" v_boundary_tur[it_pipe] = flux_init/Pip_area\n",
" # v_boundary_tur[it_pipe] = flux_init/Pip_area\n",
"\n",
" # the the boundary conditions in the pipe.object 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",

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Druckrohrleitung/Druckstoß Visualisierung.ipynb Normal file
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{
"cells": [
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from Druckrohrleitung_class_file import Druckrohrleitung_class\n",
"import matplotlib.pyplot as plt\n",
"\n",
"#importing pressure conversion function\n",
"import sys\n",
"import os\n",
"current = os.path.dirname(os.path.realpath('Main_Programm.ipynb'))\n",
"parent = os.path.dirname(current)\n",
"sys.path.append(parent)\n",
"from functions.pressure_conversion import pressure_conversion\n",
"from Ausgleichsbecken.Ausgleichsbecken_class_file import Ausgleichsbecken_class"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"# define constants\n",
"\n",
" # for physics\n",
"g = 9.81 # [m/s²] gravitational acceleration \n",
"rho = 1000. # [kg/m³] density of water \n",
"pUnit_calc = 'Pa' # [text] DO NOT CHANGE! for pressure conversion in print statements and plot labels \n",
"pUnit_conv = 'mWS' # [text] for pressure conversion in print statements and plot labels\n",
"\n",
" # for Turbine\n",
"Tur_Q_nenn = 1 # [m³/s] nominal flux of turbine \n",
"Tur_p_nenn = pressure_conversion(10.,'bar',pUnit_calc) # [Pa] nominal pressure of turbine \n",
"Tur_closingTime = 10. # [s] closing time of turbine\n",
"\n",
" # for PI controller\n",
"Con_targetLevel = 10. # [m]\n",
"\n",
" # for pipeline\n",
"Pip_length = 100 # [m] length of pipeline\n",
"Pip_dia = 1. # [m] diameter of pipeline\n",
"Pip_area = Pip_dia**2/4*np.pi # [m²] crossectional area of pipeline\n",
"Pip_head = 100. # [m] hydraulic head of pipeline without reservoir\n",
"Pip_angle = np.arcsin(Pip_head/Pip_length) # [rad] elevation angle of pipeline \n",
"Pip_n_seg = 1000 # [-] number of pipe segments in discretization\n",
"Pip_f_D = 0.6 # [-] Darcy friction factor\n",
"Pip_pw_vel = 500. # [m/s] propagation velocity of the pressure wave (pw) in the given pipeline\n",
" # derivatives of the pipeline constants\n",
"Pip_dx = Pip_length/Pip_n_seg # [m] length of each pipe segment\n",
"Pip_dt = Pip_dx/Pip_pw_vel # [s] timestep according to method of characteristics\n",
"Pip_nn = Pip_n_seg+1 # [1] number of nodes\n",
"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",
"Pip_h_vec = np.arange(0,Pip_nn,1)*Pip_head/Pip_n_seg # [m] vector holding the vertival distance of each node from the upstream reservoir\n",
"\n",
" # for reservoir\n",
"Res_area_base = 100. # [m²] total base are of the cuboid reservoir \n",
"Res_area_out = Pip_area # [m²] outflux area of the reservoir, given by pipeline area\n",
"Res_level_crit_lo = 0. # [m] for yet-to-be-implemented warnings\n",
"Res_level_crit_hi = np.inf # [m] for yet-to-be-implemented warnings\n",
"Res_dt_approx = 1e-3 # [s] approx. timestep of reservoir time evolution to ensure numerical stability (see Res_nt why approx.)\n",
"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",
"Res_dt = Pip_dt/Res_nt # [s] harmonised timestep of reservoir time evolution\n",
"\n",
" # for general simulation\n",
"flux_init = Tur_Q_nenn/1.1 # [m³/s] initial flux through whole system for steady state initialization \n",
"level_init = Con_targetLevel # [m] initial water level in upstream reservoir for steady state initialization\n",
"simTime_target = 10. # [s] target for total simulation time (will vary slightly to fit with Pip_dt)\n",
"nt = int(simTime_target//Pip_dt) # [1] Number of timesteps of the whole system\n",
"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"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# create objects\n",
"\n",
"# Upstream reservoir\n",
"reservoir = Ausgleichsbecken_class(Res_area_base,Res_area_out,Res_dt,pUnit_conv,Res_level_crit_lo,Res_level_crit_hi,rho)\n",
"reservoir.set_steady_state(flux_init,level_init)\n",
"\n",
"# pipeline\n",
"pipe = Druckrohrleitung_class(Pip_length,Pip_dia,Pip_head,Pip_n_seg,Pip_f_D,Pip_pw_vel,Pip_dt,pUnit_conv,rho)\n",
"pipe.set_steady_state(flux_init,reservoir.get_current_pressure())\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# initialization for timeloop\n",
"\n",
"level_vec = np.zeros_like(t_vec)\n",
"level_vec[0] = reservoir.get_current_level()\n",
"\n",
"# prepare the vectors in which the pressure and velocity distribution in the pipeline from the previous timestep are stored\n",
"v_old = pipe.get_current_velocity_distribution()\n",
"p_old = pipe.get_current_pressure_distribution()\n",
"\n",
"# prepare the vectors in which the temporal evolution of the boundary conditions are stored\n",
" # keep in mind, that the velocity at the turbine and the pressure at the reservoir are set manually and\n",
" # through the time evolution of the reservoir respectively \n",
" # the pressure at the turbine and the velocity at the reservoir are calculated from the method of characteristics\n",
"v_boundary_res = np.zeros_like(t_vec)\n",
"v_boundary_tur = np.zeros_like(t_vec)\n",
"p_boundary_res = np.zeros_like(t_vec)\n",
"p_boundary_tur = np.zeros_like(t_vec)\n",
"\n",
"# set the boundary conditions for the first timestep\n",
"v_boundary_res[0] = v_old[0]\n",
"v_boundary_tur[0] = v_old[-1] \n",
"p_boundary_res[0] = p_old[0]\n",
"p_boundary_tur[0] = p_old[-1]\n",
"\n",
"v_boundary_tur[:np.argmin(np.abs(t_vec-1))] = v_old[-1] \n",
"t1 = 0.1\n",
"t2 = 2.5\n",
"ind_t1 = np.argmin(np.abs(t_vec-t1))\n",
"ind_t2 = np.argmin(np.abs(t_vec-t2))\n",
"ind_t_vec = np.linspace(t_vec[ind_t1]-(t2-t1)/2,t_vec[ind_t2]-(t2-t1)/2,ind_t2-ind_t1)\n",
"v_trans = v_old[-1]/(np.exp(ind_t_vec/(5e-2))+1)\n",
"v_boundary_tur[ind_t1:ind_t2] = v_trans\n",
"\n",
"# v_boundary_tur[:np.argmin(np.abs(t_vec-1))] = v_old[-1] \n",
"# v_boundary_tur[np.argmin(np.abs(t_vec-1)):] = 0"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1efa21574f0>]"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%matplotlib qt5\n",
"fig = plt.figure()\n",
"plt.plot(v_trans)\n",
"fig = plt.figure()\n",
"plt.plot(t_vec,v_boundary_tur)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib qt5\n",
"fig1,axs1 = plt.subplots(2,1)\n",
"axs1[0].set_title('Pressure distribution in pipeline')\n",
"axs1[0].set_xlabel(r'$x$ [$\\mathrm{m}$]')\n",
"axs1[0].set_ylabel(r'$p$ [mWS]')\n",
"axs1[0].autoscale()\n",
"lo_00, = axs1[0].plot(Pip_x_vec,pressure_conversion(p_old,'Pa',pUnit_conv),marker='.')\n",
"\n",
"axs1[1].set_title('Velocity distribution in pipeline')\n",
"axs1[1].set_xlabel(r'$x$ [$\\mathrm{m}$]')\n",
"axs1[1].set_ylabel(r'$v$ [m/s]')\n",
"lo_01, = axs1[1].plot(Pip_x_vec,v_old,marker='.')\n",
"# axs1[1].autoscale()\n",
"axs1[1].set_ylim([-1.5,1.5])\n",
"\n",
"fig1.tight_layout()\n",
"plt.pause(1)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"for it_pipe in range(1,nt+1):\n",
"# for each pipeline timestep, execute nt_eRK4 timesteps of the reservoir code\n",
" # set initial conditions for the reservoir time evolution calculted with e-RK4\n",
" reservoir.set_pressure(p_old[0],display_warning=False)\n",
" reservoir.set_outflux(v_old[0]*Pip_area,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",
" level_vec[it_pipe] = reservoir.get_current_level() \n",
"\n",
" \n",
" # set boundary conditions for the next timestep of the characteristic method\n",
" p_boundary_res[it_pipe] = reservoir.get_current_pressure()\n",
"\n",
" # the the boundary conditions in the pipe.object 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",
" p_boundary_tur[it_pipe] = pipe.get_current_pressure_distribution()[-1]\n",
" v_boundary_res[it_pipe] = pipe.get_current_velocity_distribution()[0]\n",
"\n",
" # perform the next timestep via the characteristic method\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",
"\n",
" # plot some stuff\n",
" if it_pipe%100 == 0:\n",
" # remove line-objects to autoscale axes (there is definetly a better way, but this works ¯\\_(ツ)_/¯ )\n",
" lo_00.remove()\n",
" lo_01.remove()\n",
" # lo_02.remove()\n",
" # plot new pressure and velocity distribution in the pipeline\n",
" lo_00, = axs1[0].plot(Pip_x_vec,pressure_conversion(p_old,'Pa', pUnit_conv),marker='.',c='blue')\n",
" lo_01, = axs1[1].plot(Pip_x_vec,v_old,marker='.',c='blue')\n",
" \n",
" fig1.suptitle(str(round(t_vec[it_pipe],2)) + '/' + str(round(t_vec[-1],2)))\n",
" fig1.canvas.draw()\n",
" fig1.tight_layout()\n",
" plt.pause(0.000001)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"fig2,axs2 = plt.subplots(2,2)\n",
"axs2[0,0].set_title('Pressure Reservoir')\n",
"axs2[0,0].plot(t_vec,pressure_conversion(p_boundary_res,pUnit_calc,pUnit_conv))\n",
"axs2[0,0].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
"axs2[0,0].set_ylabel(r'$p$ [mWS]')\n",
"axs2[0,0].set_ylim([0.9*np.min(pressure_conversion(p_boundary_res,pUnit_calc,pUnit_conv)),1.1*np.max(pressure_conversion(p_boundary_res,pUnit_calc,pUnit_conv))])\n",
"\n",
"axs2[1,1].set_title('Velocity Reservoir')\n",
"axs2[1,1].plot(t_vec,v_boundary_res)\n",
"axs2[1,1].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
"axs2[1,1].set_ylabel(r'$v$ [$\\mathrm{m}/\\mathrm{s}$]')\n",
"axs2[1,1].set_ylim([-1.1*np.max(v_boundary_res),1.1*np.max(v_boundary_res)])\n",
"\n",
"axs2[0,1].set_title('Pressure Turbine')\n",
"axs2[0,1].plot(t_vec,pressure_conversion(p_boundary_tur,pUnit_calc,pUnit_conv))\n",
"axs2[0,1].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
"axs2[0,1].set_ylabel(r'$p$ [mWS]')\n",
"axs2[0,1].set_ylim([0.9*np.min(pressure_conversion(p_boundary_tur,pUnit_calc,pUnit_conv)),1.1*np.max(pressure_conversion(p_boundary_tur,pUnit_calc,pUnit_conv))])\n",
"\n",
"axs2[1,0].set_title('Velocity Turbine')\n",
"axs2[1,0].plot(t_vec,v_boundary_tur)\n",
"axs2[1,0].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
"axs2[1,0].set_ylabel(r'$v$ [$\\mathrm{m}/\\mathrm{s}$]')\n",
"axs2[1,0].set_ylim([-0.1,1.05*np.max(v_boundary_tur)])\n",
"\n",
"fig2.tight_layout()\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.8.13 ('DT_Slot_3')",
"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": "4a28055eb8a3160fa4c7e4fca69770c4e0a1add985300856aa3fcf4ce32a2c48"
}
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},
"nbformat": 4,
"nbformat_minor": 2
}

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KW Hammer.ipynb Normal file
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{
"cells": [
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import sys\n",
"import os\n",
"current = os.path.dirname(os.path.realpath('Main_Programm.ipynb'))\n",
"parent = os.path.dirname(current)\n",
"sys.path.append(parent)\n",
"from functions.pressure_conversion import pressure_conversion\n",
"from Ausgleichsbecken.Ausgleichsbecken_class_file import Ausgleichsbecken_class\n",
"from Druckrohrleitung.Druckrohrleitung_class_file import Druckrohrleitung_class\n",
"from Turbinen.Turbinen_class_file import Francis_Turbine\n",
"from Regler.Regler_class_file import PI_controller_class\n",
"from Kraftwerk.Kraftwerk_class_file import Kraftwerk_class"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"# define constants\n",
"\n",
" # for physics\n",
"g = 9.81 # [m/s²] gravitational acceleration \n",
"rho = 1000. # [kg/m³] density of water \n",
"pUnit_calc = 'Pa' # [string] DO NOT CHANGE! for pressure conversion in print statements and plot labels \n",
"pUnit_conv = 'mWS' # [string] for pressure conversion in print statements and plot labels\n",
"\n",
" # for KW OL \n",
"OL_T1_Q_nenn = 3.75 # [m³/s] nominal flux of turbine \n",
"OL_T1_p_nenn = pressure_conversion(6.7,'bar',pUnit_calc) # [Pa] nominal pressure of turbine \n",
"OL_T1_closingTime = 100. # [s] closing time of turbine\n",
"\n",
"OL_T2_Q_nenn = 3.75 # [m³/s] nominal flux of turbine \n",
"OL_T2_p_nenn = pressure_conversion(6.7,'bar',pUnit_calc) # [Pa] nominal pressure of turbine \n",
"OL_T2_closingTime = 100. # [s] closing time of turbine\n",
"\n",
" # for KW UL\n",
"UL_T1_Q_nenn = 3.75 # [m³/s] nominal flux of turbine \n",
"UL_T1_p_nenn = pressure_conversion(2.711,'bar',pUnit_calc) # [Pa] nominal pressure of turbine \n",
"UL_T1_closingTime = 80. # [s] closing time of turbine\n",
"\n",
"UL_T2_Q_nenn = 3.75 # [m³/s] nominal flux of turbine \n",
"UL_T2_p_nenn = pressure_conversion(2.711,'bar',pUnit_calc) # [Pa] nominal pressure of turbine \n",
"UL_T2_closingTime = 80. # [s] closing time of turbine\n",
"\n",
" # for PI controller\n",
"Con_targetLevel = 2. # [m]\n",
"\n",
" # for pipeline\n",
"Pip_length = 2300. # [m] length of pipeline\n",
"Pip_dia = 1.8 # [m] diameter of pipeline\n",
"Pip_area = Pip_dia**2/4*np.pi # [m²] crossectional area of pipeline\n",
"Pip_head = 35.6 # [m] hydraulic head of pipeline without reservoir\n",
"Pip_angle = np.arcsin(Pip_head/Pip_length) # [rad] elevation angle of pipeline \n",
"Pip_n_seg = 50 # [-] number of pipe segments in discretization\n",
"Pip_f_D = 0.015 # [-] Darcy friction factor\n",
"Pip_pw_vel = 600. # [m/s] propagation velocity of the pressure wave (pw) in the given pipeline\n",
" # derivatives of the pipeline constants\n",
"Pip_dx = Pip_length/Pip_n_seg # [m] length of each pipe segment\n",
"Pip_dt = Pip_dx/Pip_pw_vel # [s] timestep according to method of characteristics\n",
"Pip_nn = Pip_n_seg+1 # [1] number of nodes\n",
"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",
"Pip_h_vec = np.arange(0,Pip_nn,1)*Pip_head/Pip_n_seg # [m] vector holding the vertival distance of each node from the upstream reservoir\n",
"\n",
" # for reservoir\n",
"Res_area_base = 100. # [m²] total base are of the cuboid reservoir \n",
"Res_area_out = Pip_area # [m²] outflux area of the reservoir, given by pipeline area\n",
"Res_level_crit_lo = 0. # [m] for yet-to-be-implemented warnings\n",
"Res_level_crit_hi = np.inf # [m] for yet-to-be-implemented warnings\n",
"Res_dt_approx = 1e-3 # [s] approx. timestep of reservoir time evolution to ensure numerical stability (see Res_nt why approx.)\n",
"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",
"Res_dt = Pip_dt/Res_nt # [s] harmonised timestep of reservoir time evolution\n",
"\n",
" # for general simulation\n",
"flux_init = (OL_T1_Q_nenn+OL_T2_Q_nenn) # [m³/s] initial flux through whole system for steady state initialization \n",
"level_init = Con_targetLevel # [m] initial water level in upstream reservoir for steady state initialization\n",
"simTime_target = 600. # [s] target for total simulation time (will vary slightly to fit with Pip_dt)\n",
"nt = int(simTime_target//Pip_dt) # [1] Number of timesteps of the whole system\n",
"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"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"# create objects\n",
"\n",
"# Upstream reservoir\n",
"reservoir = Ausgleichsbecken_class(Res_area_base,Res_area_out,Res_dt,pUnit_conv,Res_level_crit_lo,Res_level_crit_hi,rho)\n",
"reservoir.set_steady_state(flux_init,level_init)\n",
"\n",
"# pipeline\n",
"pipe = Druckrohrleitung_class(Pip_length,Pip_dia,Pip_head,Pip_n_seg,Pip_f_D,Pip_pw_vel,Pip_dt,pUnit_conv,rho)\n",
"pipe.set_steady_state(flux_init,reservoir.get_current_pressure())\n",
"\n",
"# influx setting turbines\n",
"OL_T1 = Francis_Turbine(OL_T1_Q_nenn,OL_T1_p_nenn,OL_T1_closingTime,Pip_dt,pUnit_conv)\n",
"OL_T2 = Francis_Turbine(OL_T2_Q_nenn,OL_T2_p_nenn,OL_T2_closingTime,Pip_dt,pUnit_conv)\n",
"\n",
"KW_OL = Kraftwerk_class()\n",
"KW_OL.add_turbine(OL_T1)\n",
"KW_OL.add_turbine(OL_T2)\n",
"\n",
"KW_OL.set_steady_state(flux_init,OL_T1_p_nenn)\n",
"\n",
"# downstream turbines\n",
"UL_T1 = Francis_Turbine(UL_T1_Q_nenn,UL_T1_p_nenn,UL_T1_closingTime,Pip_dt,pUnit_conv)\n",
"UL_T2 = Francis_Turbine(UL_T2_Q_nenn,UL_T2_p_nenn,UL_T2_closingTime,Pip_dt,pUnit_conv)\n",
"\n",
"KW_UL = Kraftwerk_class()\n",
"KW_UL.add_turbine(UL_T1)\n",
"KW_UL.add_turbine(UL_T2)\n",
"\n",
"KW_UL.set_steady_state(flux_init,pipe.get_current_pressure_distribution()[-1])\n"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [],
"source": [
"# initialization for Timeloop\n",
"\n",
"# pipeline\n",
"v_old = pipe.get_current_velocity_distribution() # storing the velocity from the last timestep\n",
"v_min = pipe.get_lowest_velocity_per_node() # storing minimal flux velocity at each node\n",
"v_max = pipe.get_highest_velocity_per_node() # storing maximal flux velocity at each node\n",
"Q_old = pipe.get_current_flux_distribution() # storing the flux from the last timestep\n",
"Q_min = pipe.get_lowest_flux_per_node() # storing minimal flux at each node\n",
"Q_max = pipe.get_highest_flux_per_node() # storing maximal flux at each node\n",
"p_old = pipe.get_current_pressure_distribution() # storing the pressure from the last timestep\n",
"p_min = pipe.get_lowest_pressure_per_node() # storing minimal pressure at each node\n",
"p_max = pipe.get_highest_pressure_per_node() # 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) # storing the boundary velocity at the reservoir\n",
"v_boundary_tur = np.zeros_like(t_vec) # storing the boundary velocity at the turbine\n",
"Q_boundary_res = np.zeros_like(t_vec) # storing the boundary flux at the reservoir\n",
"Q_boundary_tur = np.zeros_like(t_vec) # storing the boundary flux at the turbine\n",
"p_boundary_res = np.zeros_like(t_vec) # storing the boundary pressure at the reservoir\n",
"p_boundary_tur = np.zeros_like(t_vec) # 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",
"# reservoir\n",
"Q_in_vec = np.zeros_like(t_vec) # storing the influx to the reservoir\n",
"Q_in_vec[0] = flux_init # storing the initial influx to the reservoir\n",
"# Outflux from reservoir is stored in Q_boundary_res\n",
"level_vec = np.zeros_like(t_vec) # 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) # 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",
"# OL KW\n",
" # manual input to modulate influx\n",
"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",
"OL_T1_LA_soll_vec[np.argmin(np.abs(t_vec-100)):] = 0.\n",
"\n",
"\n",
"OL_T2_LA_soll_vec = np.full_like(t_vec,OL_T2.get_current_LA()) # storing the target value for the guide van opening\n",
"\n",
"OL_T1_LA_ist_vec = np.zeros_like(t_vec) # 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",
"OL_T2_LA_ist_vec = np.zeros_like(t_vec) # storing the actual value of the guide vane opening\n",
"OL_T2_LA_ist_vec[0] = OL_T2.get_current_LA() # storing the initial value of the guide vane opening\n",
"\n",
"# UL KW\n",
"UL_T1_LA_soll_vec = np.full_like(t_vec,UL_T1.get_current_LA()) # storing the target value of the guide vane opening\n",
"UL_T1_LA_soll_vec[np.argmin(np.abs(t_vec-105)):] -= 0.1\n",
"\n",
"UL_T2_LA_soll_vec = np.full_like(t_vec,UL_T2.get_current_LA()) # storing the target value of the guide vane opening\n",
"UL_T2_LA_soll_vec[np.argmin(np.abs(t_vec-105)):] = 0.\n",
"\n",
"UL_T1_LA_ist_vec = np.zeros_like(t_vec) # 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",
"\n",
"UL_T2_LA_ist_vec = np.zeros_like(t_vec) # storing the actual value of the guide vane opening\n",
"UL_T2_LA_ist_vec[0] = UL_T2.get_current_LA() # storing the initial value of the guide vane opening\n"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib qt5\n",
"# displaying the guide vane openings\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='+')\n",
"axs0.plot(t_vec,100*OL_T2_LA_soll_vec,label='OL_T2 Target',c='g')\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": 46,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib qt5\n",
"# Time loop\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([-2,50])\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([-2,20])\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",
"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_2, = axs1[1].plot(Pip_x_vec,Q_old,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_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",
"plt.pause(1)\n"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"# 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",
" KW_OL.update_LAs([OL_T1_LA_soll_vec[it_pipe],OL_T2_LA_soll_vec[it_pipe]])\n",
" KW_OL.set_pressure(OL_T1_p_nenn)\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",
" level_vec[it_pipe] = reservoir.get_current_level() \n",
" volume_vec[it_pipe] = reservoir.get_current_volume() \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],UL_T2_LA_soll_vec[it_pipe]])\n",
" OL_T1_LA_ist_vec[it_pipe], OL_T2_LA_ist_vec[it_pipe] = KW_OL.get_current_LAs()\n",
" UL_T1_LA_ist_vec[it_pipe], UL_T2_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",
" KW_UL.converge(convergence_parameters)\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",
" # the the boundary condition in the pipe.object 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",
" # pipe.v[0] = (0.8*pipe.v[0]+0.2*reservoir.get_current_outflux()/Res_area_out) # unnecessary\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",
" 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:\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()\n",
" fig1.tight_layout()\n",
" fig1.show()\n",
" plt.pause(0.1) "
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"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.set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
"axs2.set_ylabel(r'$h$ [m]')\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",
"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",
"\n",
"fig2.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"fig3,axs3 = plt.subplots(2,2)\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].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
"axs3[0,0].set_ylabel(r'$h$ [m]')\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",
"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*OL_T2_LA_soll_vec,label='OL_T2 Target',c='g')\n",
"axs3[0,1].scatter(t_vec[::200],100*OL_T2_LA_ist_vec[::200],label='OL_T2 Actual',c='g',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].plot(t_vec,100*UL_T2_LA_soll_vec,label='UL_T2 Target',c='k')\n",
"axs3[0,1].scatter(t_vec[::200],100*UL_T2_LA_ist_vec[::200],label='UL_T2 Actual',c='k',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()"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.015478260869565217\n"
]
}
],
"source": [
"print(np.sin(Pip_angle))"
]
}
],
"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
}

10
Kraftwerk/Kraftwerk_class_file.py
View File

@@ -31,7 +31,7 @@ class Kraftwerk_class:
# getter
def get_current_Q(self):
Q = 0
Q = 0.
for i in range(self.n_turbines):
Q += self.turbines[i].get_current_Q()
return Q
@@ -88,20 +88,26 @@ class Kraftwerk_class:
c = convergence_parameters[6] # pressure wave propagtation velocity
rho = convergence_parameters[7] # density of the liquid
dt = convergence_parameters[8] # timestep of the characteristic method
p_old = convergence_parameters[9] # pressure of previous timestep
Q_old = self.get_current_Q()
v_old = Q_old/area_pipe
while iteration_change > eps:
p_new = p-rho*c*(v_old-v)+rho*c*dt*g*np.sin(alpha)-f_D*rho*c*dt/(2*D)*abs(v)*v
# print(p_new)
p_new = p_old+(p_new-p_old)/3
# print(p_new)
self.set_pressure(p_new)
Q_new = self.get_current_Q()
v_new = Q_new/area_pipe
# print(Q_old,Q_new)
iteration_change = abs(Q_old-Q_new)
Q_old = Q_new.copy()
v_old = v_new.copy()
p_old = p_new.copy()
i = i+1
if i == 1e6:
print('did not converge')

9
Turbinen/Turbinen_class_file.py
View File

@@ -169,23 +169,28 @@ class Francis_Turbine:
c = convergence_parameters[6] # pressure wave propagtation velocity
rho = convergence_parameters[7] # density of the liquid
dt = convergence_parameters[8] # timestep of the characteristic method
p_old = convergence_parameters[9] # pressure of previous timestep
Q_old = self.get_current_Q()
v_old = Q_old/area_pipe
while iteration_change > eps:
p_new = p-rho*c*(v_old-v)+rho*c*dt*g*np.sin(alpha)-f_D*rho*c*dt/(2*D)*abs(v)*v
# print(p_new)
p_new = p_old+(p_new-p_old)/3
# print(p_new)
self.set_pressure(p_new)
Q_new = self.get_current_Q()
v_new = Q_new/area_pipe
# print(Q_old,Q_new)
iteration_change = abs(Q_old-Q_new)
Q_old = Q_new.copy()
v_old = v_new.copy()
p_old = p_new.copy()
i = i+1
if i == 1e6:
print('did not converge')
break
# print(i)
# self.get_current_Q()

3
Turbinen/Turbinen_test_steady_state.ipynb
View File

@@ -192,7 +192,7 @@
"metadata": {},
"outputs": [],
"source": [
"convergence_parameters = [p_old[-2],v_old[-2],Pip_dia,Pip_area,Pip_angle,Pip_f_D,Pip_pw_vel,rho,Pip_dt]\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 Con_T_ime steps of the pipeline\n",
"for it_pipe in range(1,nt+1):\n",
@@ -224,6 +224,7 @@
" turbine.set_pressure(p_old[-1])\n",
" convergence_parameters[0] = p_old[-2]\n",
" convergence_parameters[1] = v_old[-2]\n",
" convergence_parameters[9] = p_old[-1]\n",
" turbine.converge(convergence_parameters)\n",
" p_boundary_res[it_pipe] = reservoir.get_current_pressure()\n",
" v_boundary_tur[it_pipe] = 1/Pip_area*turbine.get_current_Q()\n",

21
Untertweng.ipynb
View File

@@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
@@ -24,7 +24,7 @@
},
{
"cell_type": "code",
"execution_count": 2,
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
@@ -95,7 +95,7 @@
},
{
"cell_type": "code",
"execution_count": 3,
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
@@ -136,7 +136,7 @@
},
{
"cell_type": "code",
"execution_count": 4,
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
@@ -212,7 +212,7 @@
},
{
"cell_type": "code",
"execution_count": 5,
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
@@ -247,12 +247,12 @@
},
{
"cell_type": "code",
"execution_count": 6,
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# 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]\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",
@@ -284,6 +284,7 @@
" # 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",
" KW_UL.converge(convergence_parameters)\n",
" p_boundary_res[it_pipe] = reservoir.get_current_pressure()\n",
@@ -307,7 +308,7 @@
"\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%25 == 0:\n",
" if it_pipe%100 == 0:\n",
" lo_p.remove()\n",
" lo_pmin.remove()\n",
" lo_pmax.remove()\n",
@@ -330,7 +331,7 @@
},
{
"cell_type": "code",
"execution_count": 7,
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
@@ -396,7 +397,7 @@
},
{
"cell_type": "code",
"execution_count": 8,
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [