added safety condition on turbine flux and turbine LA
This commit is contained in:
Georg ´Brantegger
@@ -2,7 +2,7 @@
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 18,
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"execution_count": 9,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -18,7 +18,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 19,
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"execution_count": 10,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -27,7 +27,7 @@
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"#Turbine\n",
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"Q_nenn = 0.85 # m³/s\n",
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"p_nenn = pressure_conversion(10.6,'bar','Pa')\n",
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"closing_time = 70 #s\n",
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"closing_time = 30 #s\n",
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"\n",
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"# physics\n",
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"g = 9.81 # gravitational acceleration [m/s²]\n",
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@@ -51,7 +51,7 @@
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"f_D = 0.014 # Darcy friction factor\n",
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"c = 500. # propagation velocity of the pressure wave [m/s]\n",
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"# consider prescribing a total simulation time and deducting the number of timesteps from that\n",
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"nt = 1000 # number of time steps after initial conditions\n",
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"nt = 4500 # number of time steps after initial conditions\n",
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"\n",
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"# derivatives of the pipeline constants\n",
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"dx = L/n # length of each pipe segment\n",
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@@ -75,7 +75,7 @@
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"critical_level_high = np.inf # for yet-to-be-implemented warnings[m]\n",
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"\n",
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"# make sure e-RK4 method of reservoir has a small enough timestep to avoid runaway numerical error\n",
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"nt_eRK4 = 1000 # number of simulation steps of reservoir in between timesteps of pipeline \n",
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"nt_eRK4 = 100 # number of simulation steps of reservoir in between timesteps of pipeline \n",
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"simulation_timestep = dt/nt_eRK4\n",
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"\n",
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"\n"
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@@ -83,7 +83,7 @@
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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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"execution_count": 11,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -96,20 +96,46 @@
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"pipe = Druckrohrleitung_class(L,D,n,alpha,f_D)\n",
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"pipe.set_pressure_propagation_velocity(c)\n",
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"pipe.set_number_of_timesteps(nt)\n",
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"pipe.set_steady_state(initial_flux,initial_level,pl_vec,h_vec)\n",
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"pipe.set_steady_state(initial_flux,initial_level,area_base,pl_vec,h_vec)\n",
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"\n",
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"initial_pressure_turbine = pipe.get_current_pressure_distribution()[-1]\n",
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"\n",
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"T1 = Francis_Turbine(Q_nenn,p_nenn,closing_time,timestep=dt)\n",
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"T1.set_steady_state(initial_flux,initial_pressure_turbine)\n",
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"\n",
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"T_in = Francis_Turbine(Q_nenn,p_nenn,closing_time/2,timestep=dt)\n",
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"T_in.set_steady_state(initial_flux,p_nenn)\n",
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"\n",
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"Pegelregler = PI_controller_class(target_level,deadband_range,Kp,Ti,dt)\n",
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"Pegelregler.control_variable = T1.get_current_LA()\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": 22,
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"execution_count": 12,
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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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"The current attributes are: \n",
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"----------------------------- \n",
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"Current flux = -1.0 m³/s \n",
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"Current pipe pressure = -1.0 mWS \n",
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"Current LA = 90.90909090909089 % \n",
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"----------------------------- \n",
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"\n"
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]
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}
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],
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"source": [
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"T_in.get_info()"
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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": 13,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -137,15 +163,17 @@
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"p_boundary_res[0] = p_old[0]\n",
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"p_boundary_tur[0] = p_old[-1]\n",
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"\n",
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"LA_soll_vec = np.full_like(t_vec,T1.LA)\n",
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"LA_ist_vec = np.full_like(t_vec,T1.LA)\n",
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"LA_soll_vec = np.full_like(t_vec,T1.get_current_LA())\n",
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"LA_ist_vec = np.full_like(t_vec,T1.get_current_LA())\n",
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"\n",
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"\n"
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"LA_soll_vec2 = np.full_like(t_vec,T_in.get_current_LA())\n",
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"LA_soll_vec2[200:1500] = 0.\n",
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"LA_soll_vec2[1500:2500] = 1. \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": 23,
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"execution_count": 14,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -173,38 +201,21 @@
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},
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{
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"cell_type": "code",
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"execution_count": 24,
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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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"1.2146505196687856\n"
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]
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}
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],
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"source": [
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"print(initial_flux/area_outflux)"
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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": 25,
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"execution_count": 15,
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"metadata": {},
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"outputs": [],
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"source": [
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"# loop through time steps of the pipeline\n",
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"for it_pipe in range(1,pipe.nt+1):\n",
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"\n",
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" T_in.update_LA(LA_soll_vec2[it_pipe])\n",
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" T_in.set_pressure(p_nenn)\n",
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" V.set_influx(T_in.get_current_Q())\n",
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"\n",
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" if it_pipe > 0.015*(nt+1):\n",
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" if V.get_current_influx() > 0:\n",
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" V.set_influx(np.max([V.get_current_influx()-initial_flux*5*1e-3,0.]))\n",
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"# for each pipeline timestep, execute nt_eRK4 timesteps of the reservoir code\n",
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" # set initial conditions for the reservoir time evolution calculted with e-RK4\n",
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" V.set_pressure = p_old[0]\n",
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" V.set_outflux = v_old[0]\n",
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" V.set_pressure(p_old[0])\n",
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" V.set_outflux(v_old[0]*area_outflux)\n",
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" # calculate the time evolution of the reservoir level within each pipeline timestep to avoid runaway numerical error\n",
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" for it_res in range(nt_eRK4):\n",
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" V.timestep_reservoir_evolution() \n",
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@@ -216,10 +227,9 @@
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" \n",
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" # change the Leitapparatöffnung based on the target value\n",
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" T1.update_LA(LA_soll_vec[it_pipe])\n",
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" LA_ist_vec[it_pipe] = T1.get_current_LA()\n",
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"\n",
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" T1.set_pressure(p_old[-1])\n",
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"\n",
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" LA_ist_vec[it_pipe] = T1.LA\n",
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"\n",
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" # set boundary conditions for the next timestep of the characteristic method\n",
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" p_boundary_res[it_pipe] = V.get_current_pressure()\n",
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" v_boundary_tur[it_pipe] = 1/A_pipe*T1.get_current_Q()\n",
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@@ -229,6 +239,7 @@
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" p_boundary_tur[it_pipe] = pipe.get_current_pressure_distribution()[-1]\n",
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" v_boundary_res[it_pipe] = pipe.get_current_velocity_distribution()[0]\n",
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"\n",
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"\n",
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" # perform the next timestep via the characteristic method\n",
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" pipe.timestep_characteristic_method()\n",
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"\n",
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@@ -257,7 +268,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 26,
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"execution_count": 16,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -298,28 +309,11 @@
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"fig2.tight_layout()\n",
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"plt.show()"
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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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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"0.0\n"
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]
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}
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],
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"source": [
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"print(np.sum(v_boundary_res[2500:])*area_outflux)"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3.8.13 ('Georg_DT_Slot3')",
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"display_name": "Python 3.8.13 ('DT_Slot_3')",
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"language": "python",
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"name": "python3"
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},
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@@ -338,7 +332,7 @@
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"orig_nbformat": 4,
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"vscode": {
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"interpreter": {
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"hash": "84fb123bdc47ab647d3782661abcbe80fbb79236dd2f8adf4cef30e8755eb2cd"
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"hash": "4a28055eb8a3160fa4c7e4fca69770c4e0a1add985300856aa3fcf4ce32a2c48"
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}
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}
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},
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