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Class0_SS.py
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Class0_SS.py
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"""
Created on Fri Sep 28 2018
@author: Paul
"""
### Boiler-Plate ###
from threading import Thread
import matplotlib.pylab as plt
import numpy as np
import scipy as sp
from numpy import random
import time
from Class1_Eq import *
from Func import *
###############################################################################
""""""""" PCS Superstructure Option Class """"""""" #######################
###############################################################################
class PCS_Option:
"""
Inputs:
x = PCS superstructure x-optimization parameters
y = PCS superstructure y-optimization parameters
Parameters:
*Individual optimization parameters (explained in __init__() function)
s = Array of Stream instances for all 37 PCS superstructure streams
phx = PHX instance representing the Steam Generator
t1a, t1b, t1c, t2a, t2b = Turbines representing the diff. stages
t1, t2 = Actual turbines (for cost purposes)
t3, t4, t5 = Turbine instances for LPTs
ms1, ms2 = Moisture separator instances
rh1, rh2 = Reheater heat exchanger instances
cond = Condenser instance
fwh1, fwh2, fwh3, fwh4 = Feedwater heater instances
p1, p2, p3, p4, p5, p6 = Pump instances
eff = Obj. 1 - Thermodynamic Efficiency
cost = Obj. 2 - Total PCS equipment cost
fmm = Maximin fitness value
Functions:
eff() - Calcs & Returns the thermodynamic efficiency
inv_eff() - Calcs & Returns the inverse of the efficiency
cost() - Calcs & Returns the total equipment capital cost
color() - Calcs & Returns the PCS color/superstructure configuration
calc_Option() - Calcs correct m_dot, Calls solve_Option()
solve_Option() - Fills out PCS superstructure & converges the cycle
"""
def __init__(self,x_in,y_in):
# Define the optimization parameters
self.x = x_in
self.To_PHX = 318.5 # degC
self.Po_t1a = self.x[1] # bar
self.mf_t1a = self.x[2]
self.Po_t1b = self.x[3] # bar
self.mf_t1b = self.x[4] #
self.Po_t1c = self.x[5] # bar
self.Po_t2a = self.x[6] # bar
self.mf_t2a = self.x[7] #
self.Po_t2b = self.x[8] # bar
self.y = y_in
self.y_ipt = self.y[0] # IPT
self.y_rh1 = self.y[1] # RH 1
self.y_rh2 = self.y[2] # RH 2
self.y_s14 = self.y[3] # s[14]
self.y_s4 = self.y[4] # s[4]
self.y_s5 = self.y[5] # s[5]
# Initialize all Streams with zeros
self.s = np.array([0])
for i in range(1,37):
self.s = np.append(self.s,Stream(0.0,0.0,0.0,0.0))
# Create the PCS equipment w/ original opt. parameters
self.phx = PHX(self.To_PHX)
self.t1a = Turbine(0.0,0.0,0.0,0.0,self.Po_t1a)
self.t1b = Turbine(0.0,0.0,0.0,0.0,self.Po_t1b)
self.t1c = Turbine(0.0,0.0,0.0,0.0,self.Po_t1c)
self.t1 = Turbine(0.0,0.0,0.0,0.0,self.Po_t1c)
self.ms1 = MS(self.Po_t1c,0.0,0.0,0.0)
self.rh1 = Reheater(1,self.Po_t1a,0.0,0.0,0.0,self.Po_t1c,0.0,0.0,False)
self.t2a = Turbine(0.0,0.0,0.0,0.0,self.Po_t2a)
self.t2b = Turbine(0.0,0.0,0.0,0.0,self.Po_t2b)
self.t2 = Turbine(0.0,0.0,0.0,0.0,self.Po_t2b)
self.ms2 = MS(self.Po_t2b,0.0,0.0,0.0)
self.rh2 = Reheater(2,0.0,0.0,0.0,0.0,self.Po_t2b,0.0,0.0,False)
self.t3 = Turbine(0.0,0.0,0.0,0.0,0.086)
self.t4 = Turbine(0.0,0.0,0.0,0.0,0.086)
self.t5 = Turbine(0.0,0.0,0.0,0.0,0.086)
self.cond = Condenser(0.086,0.0,0.0,0.0)
self.fwh1 = FWH(0.0,0.0,0.0,0.0,0.0,0.0,0.0)
self.fwh2 = FWH(0.0,0.0,0.0,0.0,0.0,0.0,0.0)
self.fwh3 = FWH(0.0,0.0,0.0,0.0,0.0,0.0,0.0)
self.fwh4 = FWH(0.0,0.0,0.0,0.0,0.0,0.0,0.0)
self.p1 = Pump(0.0,0.0,0.0,self.phx.Pin)
self.p2 = Pump(0.0,0.0,0.0,self.Po_t1a)
self.p3 = Pump(0.0,0.0,0.0,0.0)
self.p4 = Pump(0.0,0.0,0.0,0.0)
self.p5 = Pump(0.0,0.0,0.0,0.0)
self.p6 = Pump(0.0,0.0,0.0,0.0)
# Initialize fitness value
self.fmm = 0
# Sove the Option by performing all calcs
self.calc_Option()
# Calculate the overall efficiency of Option
def eff(self):
W_t1 = self.t1a.W+self.t1b.W+self.t1c.W
W_turb = W_t1 + self.t2a.W+self.t2b.W+self.t3.W+self.t4.W+self.t5.W
W_pump = self.p1.W+self.p2.W+self.p3.W+self.p4.W+self.p5.W
return (W_turb - W_pump) / (self.phx.Q_th/1000)
# Calculate the inverse overall efficiency (used for Optimization purposes)
def inv_eff(self):
return 1.0 - self.eff()
# Calculate the overall cost of Option
def cost(self):
cost_phx = self.phx.cost
cost_ms = self.ms1.cost + self.ms2.cost
cost_rh = self.rh1.cost + self.rh2.cost
cost_turb = self.t1.cost+self.t2.cost+self.t3.cost+self.t4.cost+self.t5.cost
cost_cond = self.cond.cost
cost_pump = self.p1.cost+self.p2.cost+self.p3.cost+self.p4.cost+self.p5.cost
cost_fwh = self.fwh1.cost+self.fwh2.cost+self.fwh3.cost+self.fwh4.cost
total_cost = cost_phx+cost_ms+cost_rh+cost_turb+cost_cond+cost_pump+cost_fwh
cost_multiplier_for_nucl_safety_grade = 5.0
return (total_cost * 10.0**-9.0) * cost_multiplier_for_nucl_safety_grade
# Assign the option a color based on its y-values
def color(self):
c = 'black'
z = self.y
# If y = [0,1,0,0,0,0]
if z[0]==0 and z[1]==1 and z[2]==0 and z[3]==0 and z[4]==0 and z[5]==0:
c = 'red'
# If y = [0,0,0,0,0,0]
if z[0]==0 and z[1]==0 and z[2]==0 and z[3]==0 and z[4]==0 and z[5]==0:
c = 'firebrick'
# If y = [1,1,1,0,1,0]
if z[0]==1 and z[1]==1 and z[2]==1 and z[3]==0 and z[4]==1 and z[5]==0:
c = 'darkgreen'
# If y = [1,1,1,0,0,1]
if z[0]==1 and z[1]==1 and z[2]==1 and z[3]==0 and z[4]==0 and z[5]==1:
c = 'purple'
# If y = [1,0,1,0,0,1]
if z[0]==1 and z[1]==0 and z[2]==1 and z[3]==0 and z[4]==0 and z[5]==1:
c = 'deeppink'
# If y = [1,1,1,1,0,0]
if z[0]==1 and z[1]==1 and z[2]==1 and z[3]==1 and z[4]==0 and z[5]==0:
c = 'blue'
# If y = [1,0,1,1,0,0]
if z[0]==1 and z[1]==0 and z[2]==1 and z[3]==1 and z[4]==0 and z[5]==0:
c = 'cyan'
# If y = [1,0,0,0,0,0]
if z[0]==1 and z[1]==0 and z[2]==0 and z[3]==0 and z[4]==0 and z[5]==0:
c = 'orange'
# If y = [1,1,0,0,0,0]
if z[0]==1 and z[1]==1 and z[2]==0 and z[3]==0 and z[4]==0 and z[5]==0:
c = 'yellow'
# Return color for specific y-value configuration
return c
def calc_Option(self):
# Establish the test mdot
mdot_test = 600. # kg/s
# Assign test mdot and solve for Tin
self.phx.mdot = mdot_test
self.solve_Option()
Tin = self.s[36].T
# Calculate the real mdot
Hin = h_pT(self.phx.Pin,Tin)
Hout = h_pT(self.phx.Pout,self.phx.Tout)
mdot_real = self.phx.Q_th / (Hout - Hin)
# Assign real mdot and solve Option
self.phx.mdot = mdot_real
self.solve_Option()
# Recalculate all streams and equipment from PHX-out to PHX-in
def solve_Option(self):
""" PHX """
self.phx.calc_PHX()
""" Stream 1 """
self.s[1].P = self.phx.Pout
self.s[1].T = self.phx.Tout
self.s[1].mdot = self.phx.mdot
self.s[1].x = self.phx.xout
""" Turbine HPT_a """
self.t1a.Pin = self.s[1].P
self.t1a.Tin = self.s[1].T
self.t1a.mdot = self.s[1].mdot
self.t1a.x_in = self.s[1].x
self.t1a.calc_Turb()
""" Stream 2 """
if self.y_rh1 == 1:
self.s[2].y = 1
self.s[2].P = self.t1a.Pout
self.s[2].T = self.t1a.Tout
self.s[2].mdot = self.mf_t1a * self.t1a.mdot
self.s[2].x = self.t1a.x_out
else:
self.s[2].y = 0
""" Turbine HPT_b """
self.t1b.Pin = self.t1a.Pout
self.t1b.Tin = self.t1a.Tout
self.t1b.x_in = self.t1a.x_out
if self.s[2].y == 1:
self.t1b.mdot = (1-self.mf_t1a) * self.t1a.mdot
else:
self.t1b.mdot = self.t1a.mdot
self.t1b.calc_Turb()
""" Stream 5 """
if self.y_s5 == 1:
self.s[5].y = 1
self.s[5].P = self.t1b.Pout
self.s[5].T = self.t1b.Tout
self.s[5].mdot = self.mf_t1b * self.t1b.mdot
self.s[5].x = self.t1b.x_out
else:
self.s[5].y = 0
""" Turbine HPT_c """
self.t1c.Pin = self.t1b.Pout
self.t1c.Tin = self.t1b.Tout
self.t1c.x_in = self.t1b.x_out
if self.s[5].y == 1:
self.t1c.mdot = (1-self.mf_t1b) * self.t1b.mdot
else:
self.t1c.mdot = self.t1b.mdot
self.t1c.calc_Turb()
""" Turbine HPT """
self.t1.Pin = self.t1a.Pin
self.t1.Tin = self.t1a.Tin
self.t1.mdot = self.t1a.mdot
self.t1.x_in = self.t1a.x_in
self.t1.Pout = self.t1c.Pout
self.t1.calc_Turb()
""" Stream 6 """
self.s[6].P = self.t1c.Pout
self.s[6].T = self.t1c.Tout
self.s[6].mdot = self.t1c.mdot
self.s[6].x = self.t1c.x_out
""" MS 1 """
self.ms1.P = self.s[6].P
self.ms1.T = self.s[6].T
self.ms1.mdot = self.s[6].mdot
self.ms1.x_in = self.s[6].x
self.ms1.calc_MS()
""" Stream 7 """
if self.y_s4==0 and self.y_s5==0:
self.s[7].y = 1
self.s[7].P = self.ms1.P
self.s[7].T = self.ms1.T
self.s[7].mdot = self.ms1.mdot_L
self.s[7].x = 0.0
else:
self.s[7].y = 0
""" Stream 8 """
if self.y_s4==1 or self.y_s5==1:
self.s[8].y = 1
self.s[8].P = self.ms1.P
self.s[8].T = self.ms1.T
self.s[8].mdot = self.ms1.mdot_L
self.s[8].x = 0.0
else:
self.s[8].y = 0
""" Stream 9 """
if self.y_ipt==1 and self.y_rh1==0:
self.s[9].y = 1
self.s[9].P = self.ms1.P
# Add to T for the sake of h_pT(), since this stream skip RH 1
self.s[9].T = self.ms1.T + (1e-10)
self.s[9].mdot = self.ms1.mdot_V
self.s[9].x = 1.0
else:
self.s[9].y = 0
""" Stream 10 """
if self.y_ipt==0 and self.y_rh1==0:
self.s[10].y = 1
self.s[10].P = self.ms1.P
# Add to T for the sake of h_pT(), since this stream skip RH 1
self.s[10].T = self.ms1.T + (1e-10)
self.s[10].mdot = self.ms1.mdot_V
self.s[10].x = 1.0
else:
self.s[10].y = 0
""" Stream 11 """
if self.y_rh1==1:
self.s[11].y = 1
self.s[11].P = self.ms1.P
self.s[11].T = self.ms1.T
self.s[11].mdot = self.ms1.mdot_V
self.s[11].x = 1.0
else:
self.s[11].y = 0
""" RH 1 """
if self.y_rh1 == 1:
self.rh1.y = 1
self.rh1.Pin1 = self.s[2].P
self.rh1.Tin1 = self.s[2].T
self.rh1.mdot1 = self.s[2].mdot
self.rh1.x_in1 = self.s[2].x
self.rh1.Satd_in1 = False
self.rh1.Pin2 = self.s[11].P
self.rh1.Tin2 = self.s[11].T
self.rh1.mdot2 = self.s[11].mdot
self.rh1.Satd_in2 = True
else:
self.rh1.y = 0
self.rh1.calc_RH()
""" Stream 3 """
if self.y_rh1==1 and self.y_s4==0:
self.s[3].y = 1
self.s[3].P = self.rh1.Pout1
self.s[3].T = self.rh1.Tout1
self.s[3].mdot = self.rh1.mdot1
self.s[3].x = self.rh1.x_out1
else:
self.s[3].y = 0
""" Stream 4 """
if self.y_rh1==1 and self.y_s4==1:
self.s[4].y = 1
self.s[4].P = self.rh1.Pout1
self.s[4].T = self.rh1.Tout1
self.s[4].mdot = self.rh1.mdot1
self.s[4].x = self.rh1.x_out1
else:
self.s[4].y = 0
""" Stream 12 """
if self.y_rh1==1 and self.y_ipt==1:
self.s[12].y = 1
self.s[12].P = self.rh1.Pout2
self.s[12].T = self.rh1.Tout2
self.s[12].mdot = self.rh1.mdot2
self.s[12].x = 1.0
else:
self.s[12].y = 0
""" Stream 13 """
if self.y_rh1==1 and self.y_ipt==0:
self.s[13].y = 1
self.s[13].P = self.rh1.Pout2
self.s[13].T = self.rh1.Tout2
self.s[13].mdot = self.rh1.mdot2
self.s[13].x = 1.0
else:
self.s[13].y = 0
""" Turbine IPT_a """
if self.y_ipt==1:
self.t2a.y = 1
id_in = 0 # Fake ID
if self.s[9].y == 1:
id_in = 9
elif self.s[12].y == 1:
id_in = 12
self.t2a.Pin = self.s[id_in].P
self.t2a.Tin = self.s[id_in].T
self.t2a.mdot = self.s[id_in].mdot
self.t2a.x_in = self.s[id_in].x
else:
self.t2a.y = 0
self.t2a.calc_Turb()
""" Stream 14 """
if self.y_s14==1:
self.s[14].y = 1
self.s[14].P = self.t2a.Pout
self.s[14].T = self.t2a.Tout
self.s[14].mdot = self.mf_t2a * self.t2a.mdot
self.s[14].x = self.t2a.x_out
else:
self.s[14].y = 0
""" Turbine IPT_b """
if self.y_ipt==1:
self.t2b.y = 1
self.t2b.Pin = self.t2a.Pout
self.t2b.Tin = self.t2a.Tout
self.t2b.x_in = self.t2a.x_out
if self.y_s14 == 1:
self.t2b.mdot = (1-self.mf_t2a) * self.t2a.mdot
else:
self.t2b.mdot = self.t2a.mdot
else:
self.t2b.y = 0
self.t2b.calc_Turb()
""" Turbine IPT """
if self.y_ipt==1:
self.t2.y = 1
self.t2.Pin = self.t2a.Pin
self.t2.Tin = self.t2a.Tin
self.t2.mdot = self.t2a.mdot
self.t2.x_in = self.t2a.x_in
self.t2.Pout = self.t2b.Pout
else:
self.t2.y = 0
self.t2.calc_Turb()
""" Stream 17 """
if self.y_ipt==1:
self.s[17].y = 1
self.s[17].P = self.t2b.Pout
self.s[17].T = self.t2b.Tout
self.s[17].mdot = self.t2b.mdot
self.s[17].x = self.t2b.x_out
else:
self.s[17].y = 0
""" MS 2 """
if self.y_ipt==1:
self.ms2.y = 1
self.ms2.P = self.s[17].P
self.ms2.T = self.s[17].T
self.ms2.mdot = self.s[17].mdot
self.ms2.x_in = self.s[17].x
else:
self.ms2.y = 0
self.ms2.calc_MS()
""" Stream 18 """
if self.ms2.y==1:
self.s[18].y = 1
self.s[18].P = self.ms2.P
self.s[18].T = self.ms2.T
self.s[18].mdot = self.ms2.mdot_L
self.s[18].x = 0.0
else:
self.s[18].y = 0
""" Stream 19 """
if self.y_ipt==1 and self.y_rh2==0:
self.s[19].y = 1
self.s[19].P = self.ms2.P
# Add to T for the sake of h_pT(), since this stream skip RH 2
self.s[19].T = self.ms2.T + (1e-10)
self.s[19].mdot = self.ms2.mdot_V
self.s[19].x = 1.0
else:
self.s[19].y = 0
""" Stream 20 """
if self.y_ipt==1 and self.y_rh2==1:
self.s[20].y = 1
self.s[20].P = self.ms2.P
self.s[20].T = self.ms2.T
self.s[20].mdot = self.ms2.mdot_V
self.s[20].x = 1.0
else:
self.s[20].y = 0
""" RH 2 """
if self.y_rh2 == 1:
self.rh2.y = 1
id1 = 0 # Fake ID
if self.y_s4 == 1:
id1 = 4
elif self.y_s5 == 1:
id1 = 5
elif self.y_s14 == 1:
id1 = 14
self.rh2.Pin1 = self.s[id1].P
self.rh2.Tin1 = self.s[id1].T
self.rh2.mdot1 = self.s[id1].mdot
self.rh2.x_in1 = self.s[id1].x
self.rh2.Satd_in1 = False
self.rh2.Pin2 = self.s[20].P
self.rh2.Tin2 = self.s[20].T
self.rh2.mdot2 = self.s[20].mdot
self.rh2.Satd_in2 = True
else:
self.rh2.y = 0
self.rh2.calc_RH()
""" Stream 15 """
if self.y_rh2==1 and self.y_s14==1:
self.s[15].y = 1
self.s[15].P = self.rh2.Pout1
self.s[15].T = self.rh2.Tout1
self.s[15].mdot = self.rh2.mdot1
self.s[15].x = self.rh2.x_out1
else:
self.s[15].y = 0
""" Stream 16 """
if self.y_rh2==1 and self.y_s14==0:
self.s[16].y =1
self.s[16].P = self.rh2.Pout1
self.s[16].T = self.rh2.Tout1
self.s[16].mdot = self.rh2.mdot1
self.s[16].x = self.rh2.x_out1
else:
self.s[16].y = 0
""" Stream 21 """
if self.y_rh2==1:
self.s[21].y = 1
self.s[21].P = self.rh2.Pout2
self.s[21].T = self.rh2.Tout2
self.s[21].mdot = self.rh2.mdot2
self.s[21].x = 1.0
else:
self.s[21].y = 0
""" Stream 22 """
id_in = 0 # Fake ID
if self.s[10].y == 1:
id_in = 10
elif self.s[13].y == 1:
id_in = 13
elif self.s[19].y == 1:
id_in = 19
elif self.s[21].y == 1:
id_in = 21
self.s[22].P = self.s[id_in].P
self.s[22].T = self.s[id_in].T
self.s[22].mdot = self.s[id_in].mdot
self.s[22].x = self.s[id_in].x
""" Turbine LPT 1 """
self.t3.Pin = self.s[22].P
self.t3.Tin = self.s[22].T
self.t3.mdot = self.s[22].mdot / 3.0
self.t3.x_in = self.s[22].x
self.t3.calc_Turb()
""" Turbine LPT 2 """
self.t4.Pin = self.s[22].P
self.t4.Tin = self.s[22].T
self.t4.mdot = self.s[22].mdot / 3.0
self.t4.x_in = self.s[22].x
self.t4.calc_Turb()
""" Turbine LPT 3 """
self.t5.Pin = self.s[22].P
self.t5.Tin = self.s[22].T
self.t5.mdot = self.s[22].mdot / 3.0
self.t5.x_in = self.s[22].x
self.t5.calc_Turb()
""" Stream 23 """
self.s[23].P = self.t3.Pout
self.s[23].T = self.t3.Tout
self.s[23].mdot = self.t3.mdot+self.t4.mdot+self.t5.mdot
self.s[23].x = self.t3.x_out
""" Condenser """
self.cond.Pin = self.s[23].P
self.cond.Tin = self.s[23].T
self.cond.mdot = self.s[23].mdot
self.cond.x_in = self.s[23].x
self.cond.calc_Condenser()
""" Stream 24 """
self.s[24].P = self.cond.Pout
self.s[24].T = self.cond.Tout
self.s[24].mdot = self.cond.mdot
self.s[24].x = self.cond.x_out
""" Pump 5 """
self.p5.Pin = self.s[24].P
self.p5.Tin = self.s[24].T
self.p5.mdot = self.s[24].mdot
Po_p5 = 0.0 # Fake pressure
if self.y_ipt==0:
Po_p5 = self.Po_t1c
elif self.y_ipt==1:
Po_p5 = self.Po_t2b
self.p5.Pout = Po_p5
self.p5.calc_Pump()
""" Stream 25 """
if self.y_ipt==0:
self.s[25].y = 1
self.s[25].P = self.p5.Pout
self.s[25].T = self.p5.Tout
self.s[25].mdot = self.p5.mdot
self.s[25].x = 0.0
else:
self.s[25].y = 0
""" Stream 26 """
if self.y_ipt==1:
self.s[26].y = 1
self.s[26].P = self.p5.Pout
self.s[26].T = self.p5.Tout
self.s[26].mdot = self.p5.mdot
self.s[26].x = 0.0
else:
self.s[26].y = 0
""" FWH 4 """
if self.y_ipt==1:
self.fwh4.y = 1
self.fwh4.Pin1 = self.s[18].P
self.fwh4.Tin1 = self.s[18].T
self.fwh4.mdot1 = self.s[18].mdot
self.fwh4.x_in1 = self.s[18].x
self.fwh4.Pin2 = self.s[26].P
self.fwh4.Tin2 = self.s[26].T
self.fwh4.mdot2 = self.s[26].mdot
else:
self.fwh4.y = 0
self.fwh4.calc_FWH()
""" Stream 27 """
if self.fwh4.y==1:
self.s[27].y = 1
self.s[27].P = self.fwh4.Pout
self.s[27].T = self.fwh4.Tout
self.s[27].mdot = self.fwh4.mdot
self.s[27].x = self.fwh4.x_out
else:
self.s[27].y = 0
""" Pump 4 """
if self.fwh4.y==1:
self.p4.y = 1
self.p4.Pin = self.s[27].P
self.p4.Tin = self.s[27].T
self.p4.mdot = self.s[27].mdot
Po_p4 = 0.0 # Fake pressure
if self.s[8].y==1 or self.s[15].y==1:
if self.s[8].y==1:
Po_p4 = self.s[8].P
else:
Po_p4 = self.s[15].P
else:
if self.s[7].y==1:
Po_p4 = self.s[7].P
elif self.s[16].y==1:
Po_p4 = self.s[16].P
self.p4.Pout = Po_p4
else:
self.p4.y = 0
self.p4.calc_Pump()
""" Stream 28 """
if self.p4.y==1:
if self.s[8].y==0 and self.s[15].y==0:
self.s[28].y = 1
self.s[28].P = self.p4.Pout
self.s[28].T = self.p4.Tout
self.s[28].mdot = self.p4.mdot
self.s[28].x = 0.0
else:
self.s[28].y = 0
else:
self.s[28].y = 0
""" Stream 29 """
if self.p4.y==1:
if self.s[8].y==1 or self.s[15].y==1:
self.s[29].y = 1
self.s[29].P = self.p4.Pout
self.s[29].T = self.p4.Tout
self.s[29].mdot = self.p4.mdot
self.s[29].x = 0.0
else:
self.s[29].y = 0
else:
self.s[29].y = 0
""" FWH 3 """
if self.s[8].y==1 or self.s[15].y==1:
self.fwh3.y = 1
id1 = 0 # Fake ID
if self.s[8].y==1:
id1 = 8
else:
id1 = 15
self.fwh3.Pin1 = self.s[id1].P
self.fwh3.Tin1 = self.s[id1].T
self.fwh3.mdot1 = self.s[id1].mdot
self.fwh3.x_in1 = self.s[id1].x
self.fwh3.Pin2 = self.s[29].P
self.fwh3.Tin2 = self.s[29].T
self.fwh3.mdot2 = self.s[29].mdot
else:
self.fwh3.y = 0
self.fwh3.calc_FWH()
""" Stream 30 """
if self.fwh3.y==1:
self.s[30].y = 1
self.s[30].P = self.fwh3.Pout
self.s[30].T = self.fwh3.Tout
self.s[30].mdot = self.fwh3.mdot
self.s[30].x = self.fwh3.x_out
else:
self.s[30].y = 0
""" Pump 3 """
if self.fwh3.y==1:
self.p3.y = 1
self.p3.Pin = self.s[30].P
self.p3.Tin = self.s[30].T
self.p3.mdot = self.s[30].mdot
Po_p3 = 0.0 # Fake pressure
if self.s[7].y==1:
Po_p3 = self.s[7].P
elif self.s[16].y==1:
Po_p3 = self.s[16].P
self.p3.Pout = Po_p3
else:
self.p3.y = 0
self.p3.calc_Pump()
""" Stream 31 """
if self.p3.y==1:
self.s[31].y = 1
self.s[31].P = self.p3.Pout
self.s[31].T = self.p3.Tout
self.s[31].mdot = self.p3.mdot
self.s[31].x = 0.0
else:
self.s[31].y = 0
""" FWH 2 """
id1 = 0 # Fake ID
if self.s[7].y==1:
id1 = 7
elif self.s[16].y==1:
id1 = 16
id2 = 0 # Fake ID
if self.s[25].y==1:
id2 = 25
elif self.s[28].y==1:
id2 = 28
elif self.s[31].y==1:
id2 = 31
self.fwh2.Pin1 = self.s[id1].P
self.fwh2.Tin1 = self.s[id1].T
self.fwh2.mdot1 = self.s[id1].mdot
self.fwh2.x_in1 = self.s[id1].x
self.fwh2.Pin2 = self.s[id2].P
self.fwh2.Tin2 = self.s[id2].T
self.fwh2.mdot2 = self.s[id2].mdot
self.fwh2.calc_FWH()
""" Stream 32 """
if self.s[3].y==0:
self.s[32].y = 1
self.s[32].P = self.fwh2.Pout
self.s[32].T = self.fwh2.Tout
self.s[32].mdot = self.fwh2.mdot
self.s[32].x = self.fwh2.x_out
else:
self.s[32].y = 0
""" Stream 33 """
if self.s[3].y==1:
self.s[33].y = 1
self.s[33].P = self.fwh2.Pout
self.s[33].T = self.fwh2.Tout
self.s[33].mdot = self.fwh2.mdot
self.s[33].x = self.fwh2.x_out
else:
self.s[33].y = 0
""" Pump 2 """
if self.s[33].y==1:
self.p2.y = 1
self.p2.Pin = self.s[33].P
self.p2.Tin = self.s[33].T
self.p2.mdot = self.s[33].mdot
self.p2.Pout = self.Po_t1a
else:
self.p2.y = 0
self.p2.calc_Pump()
""" Stream 34 """
if self.p2.y==1:
self.s[34].y = 1
self.s[34].P = self.p2.Pout
self.s[34].T = self.p2.Tout
self.s[34].mdot = self.p2.mdot
self.s[34].x = 0.0
else:
self.s[34].y = 0
""" FWH 1 """
if self.s[3].y==1:
self.fwh1.y = 1
self.fwh1.Pin1 = self.s[3].P
self.fwh1.Tin1 = self.s[3].T
self.fwh1.mdot1 = self.s[3].mdot
self.fwh1.x_in1 = self.s[3].x
self.fwh1.Pin2 = self.s[34].P
self.fwh1.Tin2 = self.s[34].T
self.fwh1.mdot2 = self.s[34].mdot
else:
self.fwh1.y = 0
self.fwh1.calc_FWH()
""" Stream 35 """
if self.fwh1.y==1:
self.s[35].y = 1
self.s[35].P = self.fwh1.Pout
self.s[35].T = self.fwh1.Tout
self.s[35].mdot = self.fwh1.mdot
self.s[35].x = self.fwh1.x_out
else:
self.s[35].y = 0
""" Pump 1 """
id_in = 0 # Fake ID
if self.s[32].y==1:
id_in = 32
elif self.s[35].y==1:
id_in = 35
self.p1.Pin = self.s[id_in].P
self.p1.Tin = self.s[id_in].T
self.p1.mdot = self.s[id_in].mdot
self.p1.Pout = self.phx.Pin
self.p1.calc_Pump()
""" Stream 36 """
self.s[36].P = self.p1.Pout
self.s[36].T = self.p1.Tout
self.s[36].mdot = self.p1.mdot
self.s[36].x = 0.0
############################
""" PCS Constraints Func """
############################
def PCS_constraints(x,y):
"""
Inputs:
x = Array of x-optimization parameters
y = Array of y-optimization parameters
Output:
x = Array of constraint-corrected x-optimization parameters
y = Array of constraint-corrected y-optimization parameters
"""
# Constraints for mchx.Tout
if x[0] < 295.0: x[0] = 295.0
if x[0] > 307.7: x[0] = 307.7
# Constraints for Po_t1a
if x[1] < 8.0: x[1] = 8.0
if x[1] > 25.0: x[1] = 25.0
# Constraints for mf_t1a
if x[2] < 0.05: x[2] = 0.05
if x[2] > 0.19: x[2] = 0.19
# Constraints for Po_t1b
if x[3] < 6.0: x[3] = 6.0
if x[3] > 20.0: x[3] = 20.0
# Constraints for mf_t1b
if x[4] < 0.05: x[4] = 0.05
if x[4] > 0.19: x[4] = 0.19
# Constraints for Po_t1c
if x[5] < 4.0: x[5] = 4.0
if x[5] > 16.0: x[5] = 16.0
# Constraints for Po_t2a
if x[6] < 3.0: x[6] = 3.0
if x[6] > 13.0: x[6] = 13.0
# Constraints for mf_t2a
if x[7] < 0.05: x[7] = 0.05
if x[7] > 0.19: x[7] = 0.19
# Constraints for Po_t2b
if x[8] < 2.0: x[8] = 2.0
if x[8] > 11.0: x[8] = 11.0
""" Binary constraints ensure y-values match 1 of the 9 configurations """
# If IPT does not exist:
if y[0] == 0:
y[2] = 0
# If RH 2 does not exist:
if y[2] == 0:
y[3] = 0
y[4] = 0
y[5] = 0
# If RH 2 exists:
if y[2] == 1:
# If RH 1 exists:
if y[1] == 1:
# If s[14], s[4], and s[5] are all 0:
if (y[3]+y[4]+y[5]) == 0:
if random.random() < 0.33:
y[3] = 1
elif random.random() < 0.5:
y[4] = 1
else:
y[5] = 1
# If s[14], s[4], and s[5] are all 1:
if (y[3]+y[4]+y[5]) == 3:
if random.random() < 0.33:
y[4] = 0
y[5] = 0
elif random.random() < 0.5:
y[3] = 0
y[5] = 0
else:
y[3] = 0
y[4] = 0
# If s[14], s[4], and s[5] are a permutation of 0,1,1:
if (y[3]+y[4]+y[5]) == 2:
if y[3] == 0:
if random.random() < 0.5:
y[4] = 0
else:
y[5] = 0
elif y[4] == 0:
if random.random() < 0.5:
y[3] = 0
else:
y[5] = 0
elif y[5] == 0:
if random.random() < 0.5:
y[3] = 0
else:
y[4] = 0
# If RH 1 does not exist:
if y[1] == 0:
# then s[4] should not exist either
y[4] = 0
# If s[14] and s[5] ar both 0:
if (y[3]+y[5]) == 0:
if random.random() < 0.5:
y[3] = 1
else:
y[5] = 1
# If s[14] and s[5] are both 1:
if (y[3]+y[5]) == 2:
if random.random() < 0.5:
y[3] = 0
else:
y[5] = 0
"""
Given the y-values, make sure x-value P's are spaced out enough to
avoid causing pinch points in the reheaters.
"""
# Constraints for Turbine Combo: t1a(o),t1b(x),t1c(o),t2a(x),t2b(x)
''' 1 - red '''
if y[0]==0 and y[1]==1 and y[2]==0 and y[3]==0 and y[4]==0 and y[5]==0:
x[1],x[5] = DeltaP(x[1],x[5],4.0)
if x[3]>=x[1] or x[3]<=x[5]: x[3] = x[5] + 1.0
# Constraints for Turbine Combo: t1a(x),t1b(x),t1c(o),t2a(x),t2b(x)
''' 2 - firebrick '''
if y[0]==0 and y[1]==0 and y[2]==0 and y[3]==0 and y[4]==0 and y[5]==0:
if x[3]<=x[5]: x[3] = x[5] + 2.0
if x[1]<=x[3]: x[1] = x[3] + 2.0
if x[6]>=x[5]: x[6] = x[5] - 2.0
if x[8]>=x[6]: x[8] = x[6] - 2.0
# Constraints for Turbine Combo: t1a(o),t1b(x),t1c(o),t2a(x),t2b(o)
''' 3 - darkgreen '''
if y[0]==1 and y[1]==1 and y[2]==1 and y[3]==0 and y[4]==1 and y[5]==0:
x_t = np.array((2.0,x[8],4.0,x[5],4.0,x[1]))
x_t = DeltaP4(x_t)
x[8],x[5],x[1] = x_t[1],x_t[3],x_t[5]
if x[3]>=x[1] or x[3]<=x[5]: x[3] = x[5] + 1.0
if x[6]>=x[5] or x[6]<=x[8]: x[6] = x[8] + 1.0
''' 9 - yellow '''
if y[0]==1 and y[1]==1 and y[2]==0 and y[3]==0 and y[4]==0 and y[5]==0:
x_t = np.array((2.0,x[8],4.0,x[5],4.0,x[1]))
x_t = DeltaP4(x_t)
x[8],x[5],x[1] = x_t[1],x_t[3],x_t[5]
if x[3]>=x[1] or x[3]<=x[5]: x[3] = x[5] + 1.0
if x[6]>=x[5] or x[6]<=x[8]: x[6] = x[8] + 1.0
# Constraints for Turbine Combo: t1a(o),t1b(o),t1c(o),t2a(x),t2b(o)
''' 4 - purple '''
if y[0]==1 and y[1]==1 and y[2]==1 and y[3]==0 and y[4]==0 and y[5]==1:
x_t = np.array((2.0,x[8],2.0,x[5],2.0,x[3],2.0,x[1]))
x_t = DeltaP4(x_t)
x[8],x[5],x[3],x[1] = x_t[1],x_t[3],x_t[5],x_t[7]
# Make sure the dummy value for x[6] is b/t Po_t1c and Po_t2b
if x[6]>=x[5] or x[6]<=x[8]: x[6] = x[8] + 1.0
# Constraints for Turbine Combo: t1a(x),t1b(o),t1c(o),t2a(x),t2b(o)
''' 5 - deeppink '''
if y[0]==1 and y[1]==0 and y[2]==1 and y[3]==0 and y[4]==0 and y[5]==1:
x_t = np.array((2.0,x[8],4.0,x[5],2.0,x[3]))
x_t = DeltaP4(x_t)
x[8],x[5],x[3] = x_t[1],x_t[3],x_t[5]
if x[1]<=x[3]: x[1] = x[3] + 1.0
if x[6]>=x[5] or x[6]<=x[8]: x[6] = x[8] + 1.0
# Constraints for Turbine Combo: t1a(o),t1b(x),t1c(o),t2a(o),t2b(o)
''' 6 - blue '''
if y[0]==1 and y[1]==1 and y[2]==1 and y[3]==1 and y[4]==0 and y[5]==0:
x_t = np.array((x[1],4.0,x[5],2.0,x[6],4.0,x[8]))
x_t = DeltaP3(x_t)
x[1],x[5],x[6],x[8] = x_t[0],x_t[2],x_t[4],x_t[6]
if x[3]>=x[1] or x[3]<=x[5]: x[3] = x[5] + 1.0
# Constraints for Turbine Combo: t1a(x),t1b(x),t1c(o),t2a(o),t2b(o)
''' 7 - cyan '''
if y[0]==1 and y[1]==0 and y[2]==1 and y[3]==1 and y[4]==0 and y[5]==0:
x_t = np.array((x[5],2.0,x[6],4.0,x[8]))
x_t = DeltaP3(x_t)
x[5],x[6],x[8] = x_t[0],x_t[2],x_t[4]
if x[3]<=x[5]: x[3] = x[5] + 1.0
if x[1]<=x[3]: x[1] = x[3] + 1.0
# Constraints for Turbine Combo: t1a(x),t1b(x),t1c(o),t2a(x),t2b(o)
''' 8 - orange '''
if y[0]==1 and y[1]==0 and y[2]==0 and y[3]==0 and y[4]==0 and y[5]==0:
x[5],x[8] = DeltaP(x[5],x[8],4.0)
if x[3]<=x[5]: x[3] = x[5] + 2.0
if x[1]<=x[3]: x[1] = x[3] + 2.0
if x[6]>=x[5] or x[6]<=x[8]: x[6] = x[8] + 1.0
# To correct any "NaN" problems with Pump6, make sure that IPT.Pout > 1.0 bar
if x[8]<1.0: x[8] = 1.001
# Return corrected x,y-values
return x,y
########################
""" PCS Maximin Func """
########################
def PCS_maximin(opt_list):
"""
Inputs:
opt_list = Population's 'opt_list' array of PCS_Option's
Outputs:
sorted_list = Array of fitness-sorted PCS_Option's
"""
# Initialize parameters
n = np.size(opt_list)
fmm_min = 1000
min_index = 50
# Rotate through each PCS_Option in opt_list
for i in range(n):
# Initialize array of minimum differences
j_mins = np.empty(0)
# Rotate through each PCS_Option in opt_list (except j = i)
for j in range(n):
if j == i:
None
else:
# Find min[k=1,2](f_k(x_i) - f_k(x_j))
k_diff1 = opt_list[i].inv_eff() - opt_list[j].inv_eff()
k_diff2 = opt_list[i].cost() - opt_list[j].cost()
k_min = min(k_diff1,k_diff2)
j_mins = np.append(j_mins,k_min)
# Find the max of the j_mins and assign new f_maximin to PCS_Option i
i_max = max(j_mins)
opt_list[i].fmm = i_max
# Keep track of the smallest f_maximin
if i_max < fmm_min:
fmm_min = i_max
min_index = i
# Initialize the maximin-sorted list of PCS_Option's
sorted_list = np.array(opt_list[min_index])