Georg_Brantegger/Python-DT_Slot_3
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added first try for turbine flux based on pressure and

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LA opening
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Brantegger Georg
2022-07-20 15:43:51 +02:00
parent 7e67979a82
commit d966904606
9 changed files with 930 additions and 253 deletions
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62
Untertweng.ipynb
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@@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "code",
"execution_count": 56,
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
@@ -11,41 +11,46 @@
"\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"
"from Druckrohrleitung.Druckrohrleitung_class_file import Druckrohrleitung_class\n",
"from Turbinen.Turbinen_class_file import Francis_Turbine"
]
},
{
"cell_type": "code",
"execution_count": 57,
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"#define constants\n",
"\n",
"#Turbine\n",
"Q_nenn = 0.85\n",
"p_nenn,_ = pressure_conversion(10.6,'bar','Pa')\n",
"\n",
"# physics\n",
"g = 9.81 # gravitational acceleration [m/s²]\n",
"rho = 1000. # density of water [kg/m³]\n",
"\n",
"# pipeline\n",
"L = 1000. # length of pipeline [m]\n",
"D = 1. # pipe diameter [m]\n",
"L = 535.+478. # length of pipeline [m]\n",
"D = 0.9 # pipe diameter [m]\n",
"A_pipe = D**2/4*np.pi # pipeline area\n",
"h_pipe = 200 # hydraulic head without reservoir [m] \n",
"h_pipe = 105 # hydraulic head without reservoir [m] \n",
"alpha = np.arcsin(h_pipe/L) # Höhenwinkel der Druckrohrleitung \n",
"n = 50 # number of pipe segments in discretization\n",
"# consider replacing Q0 with a vector be be more flexible in initial conditions\n",
"Q0 = 2. # initial flow in whole pipe [m³/s]\n",
"Q0 = Q_nenn # initial flow in whole pipe [m³/s]\n",
"v0 = Q0/A_pipe # initial flow velocity [m/s]\n",
"f_D = 0.01 # Darcy friction factor\n",
"c = 400. # propagation velocity of the pressure wave [m/s]\n",
"f_D = 0.014 # Darcy friction factor\n",
"c = 500. # propagation velocity of the pressure wave [m/s]\n",
"# consider prescribing a total simulation time and deducting the number of timesteps from that\n",
"nt = 500 # number of time steps after initial conditions\n",
"nt = 2000 # number of time steps after initial conditions\n",
"\n",
"# derivatives of the pipeline constants\n",
"dx = L/n # length of each pipe segment\n",
"dt = dx/c # timestep according to method of characterisitics\n",
"nn = n+1 # number of nodes\n",
"initial_level = 20. # water level in upstream reservoir [m]\n",
"initial_level = 8. # water level in upstream reservoir [m]\n",
"p0 = rho*g*initial_level-v0**2*rho/2\n",
"pl_vec = np.arange(0,nn*dx,dx) # pl = pipe-length. position of the nodes on the pipeline\n",
"t_vec = np.arange(0,nt+1)*dt # time vector\n",
@@ -61,7 +66,7 @@
"initial_pipeline_pressure = p0 # Initial condition for the static pipeline pressure at the reservoir (= hydrostatic pressure - dynamic pressure) \n",
"initial_pressure_unit = 'Pa' # DO NOT CHANGE! for pressure conversion in print statements and plot labels \n",
"conversion_pressure_unit = 'bar' # for pressure conversion in print statements and plot labels\n",
"area_base = 20. # total base are of the cuboid reservoir [m²] \n",
"area_base = 74. # total base are of the cuboid reservoir [m²] \n",
"area_outflux = A_pipe # outlfux area of the reservoir, given by pipeline area [m²]\n",
"critical_level_low = 0. # for yet-to-be-implemented warnings[m]\n",
"critical_level_high = np.inf # for yet-to-be-implemented warnings[m]\n",
@@ -69,6 +74,7 @@
"# make sure e-RK4 method of reservoir has a small enough timestep to avoid runaway numerical error\n",
"nt_eRK4 = 1000 # number of simulation steps of reservoir in between timesteps of pipeline \n",
"simulation_timestep = dt/nt_eRK4\n",
"\n",
"\n"
]
},
@@ -91,7 +97,7 @@
},
{
"cell_type": "code",
"execution_count": 58,
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
@@ -109,6 +115,11 @@
"pipe.set_initial_pressure(p_init,initial_pressure_unit,conversion_pressure_unit)\n",
"pipe.set_initial_flow_velocity(v_init)\n",
"\n",
"\n",
"T1 = Francis_Turbine(Q_nenn,p_nenn)\n",
"T1.set_LA(1.)\n",
"T1.set_closing_time(30)\n",
"\n",
"# display the attributes of the created reservoir and pipeline object\n",
"# V.get_info(full=True)\n",
"# pipe.get_info()"
@@ -116,7 +127,7 @@
},
{
"cell_type": "code",
"execution_count": 59,
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
@@ -139,21 +150,21 @@
"level_vec = np.full(nt+1,initial_level) # level at the end of each pipeline timestep\n",
"level_vec_2 = np.empty([nt_eRK4]) # level throughout each reservoir timestep-used for plotting and overwritten afterwards\n",
"\n",
"# set the boudary conditions for the first timestep\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",
"v_boundary_tur[1:] = 0 # instantaneous closing\n",
"# v_boundary_tur[0:20] = np.linspace(v_old[-1],0,20) # overwrite for finite closing time - linear case\n",
"# const = int(np.min([100,round(nt/1.1)]))\n",
"# v_boundary_tur[0:const] = v_old[1]*np.cos(t_vec[0:const]*2*np.pi/5)**2\n",
"p_boundary_res[0] = p_old[0]\n",
"p_boundary_tur[0] = p_old[-1]\n",
"p_boundary_res[0] = p_old[0]\n",
"p_boundary_tur[0] = p_old[-1]\n",
"\n",
"LA_soll_vec = np.zeros_like(t_vec)\n",
"LA_soll_vec[0] = 1\n",
"LA_soll_vec[1000:] = 1\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 60,
"execution_count": 50,
"metadata": {},
"outputs": [],
"source": [
@@ -186,7 +197,7 @@
},
{
"cell_type": "code",
"execution_count": 61,
"execution_count": 51,
"metadata": {},
"outputs": [],
"source": [
@@ -213,6 +224,9 @@
" v_boundary_res[it_pipe] = v_old[1]+1/(rho*c)*(p_boundary_res[it_pipe]-p_old[1])-f_D*dt/(2*D)*abs(v_old[1])*v_old[1] \\\n",
" +dt*g*np.sin(alpha)\n",
"\n",
" T1.change_LA(LA_soll_vec[it_pipe],dt)\n",
" v_boundary_tur[it_pipe] = 1/A_pipe*T1.get_Q(p_old[-1])\n",
"\n",
" # the the boundary conditions in the pipe.object and thereby calculate boundary pressure at turbine\n",
" pipe.set_boundary_conditions_next_timestep(v_boundary_res[it_pipe],p_boundary_res[it_pipe],v_boundary_tur[it_pipe])\n",
" p_boundary_tur[it_pipe] = pipe.p_boundary_tur\n",
@@ -245,7 +259,7 @@
},
{
"cell_type": "code",
"execution_count": 62,
"execution_count": 52,
"metadata": {},
"outputs": [],
"source": [