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04_rankine_reheat_cycle-non-ideal-HiRes.py
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# -*- coding: utf-8 -*-
"""
@date: 14 December 2020 (update)
This source code is provided by Richard J Smith 'as is' and 'with all faults'. The provider makes no
representations or warranties of any kind concerning the safety, suitability, inaccuracies,
typographical errors, or other harmful components of this software.
"""
from pyXSteam.XSteam import XSteam
steamTable = XSteam(XSteam.UNIT_SYSTEM_MKS)
from fluprodia import FluidPropertyDiagram
print('Rankine reheat cycle analysis (non ideal)')
p1 = 0.06
s1 = steamTable.sL_p(p1)
T1 = steamTable.t_ps(p1, s1)
h1 = steamTable.hL_p(p1)
print('\nPoint 1')
print(f"T1: {round(float(T1),1)} degC")
print(f"p1: {round(float(p1),1)} bar")
print(f"H1: {round(float(h1),1)} kJ/kg")
print(f"S1: {round(float(s1),3)} kJ/kg K")
p2 = 150
s2 = s1
v = 1/steamTable.rhoL_p(p1)
w_p = v*(p2-p1)
h2 = h1+w_p
print('\nPoint 2')
print(f"H2: {round(float(h2),1)} kJ/kg")
T2 = steamTable.t_ph(p2, h2)
print(f"T2: {round(float(T2),1)} degC")
h2dash = steamTable.hL_p(p2)
s2dash = steamTable.sL_p(p2)
T2dash = steamTable.tsat_p(p2)
print('\nPoint 2dash')
print(f"T2dash: {round(float(T2dash),1)} degC")
print(f"P2dash: {round(float(p2),1)} bar")
print(f"H2dash: {round(float(h2dash),1)} kJ/kg")
print(f"S2dash: {round(float(s2dash),3)} kJ/kg K")
h3dash = steamTable.hV_p(p2)
s3dash = steamTable.sV_p(p2)
T3dash = T2dash
print('\nPoint 3dash')
print(f"T3dash: {round(float(T3dash),1)} degC")
print(f"H3dash: {round(float(h3dash),1)} kJ/kg")
print(f"S3dash: {round(float(s3dash),3)} kJ/kg K")
p3 = p2
T3 = 540
h3 = steamTable.h_pt(p3, T3)
s3 = steamTable.s_pt(p3, T3)
print('\nPoint 3')
print(f"T3: {round(float(T3),1)} degC")
print(f"p3: {round(float(p3),1)} bar")
print(f"H3: {round(float(h3),1)} kJ/kg")
print(f"S3: {round(float(s3),3)} kJ/kg K")
p4 = p2/8
print(f"Reheat Pressure: {round(float(p4),1)} bar")
s4 = s3
h4 = steamTable.h_ps(p4, s4)
HPturbeff = 0.90
h4r = h3 - (HPturbeff * h3) + (HPturbeff * h4)
s4r = steamTable.s_ph(p4, h4r)
T4r = steamTable.t_ps(p4, s4r)
T4 = steamTable.t_hs(h4r, s4r)
print('\nPoint 4')
print(f"T4ideal: {round(float(T4),1)} degC")
print(f"T4real: {round(float(T4r),1)} degC")
print(f"P4: {round(float(p4),1)} bar")
print(f"H4ideal: {round(float(h4),1)} kJ/kg")
print(f"H4real: {round(float(h4r),1)} kJ/kg")
print(f"S4ideal: {round(float(s4),3)} kJ/kg K")
print(f"S4real: {round(float(s4r ),3)} kJ/kg K")
w_HPt = h3-h4r
p5 = p4
T5 = T3
h5 = steamTable.h_pt(p5, T5)
s5 = steamTable.s_pt(p5, T5)
print('\nPoint 5')
print(f"T5: {round(float(T5),1)} degC")
print(f"p5: {round(float(p5),1)} bar")
print(f"H5: {round(float(h5),1)} kJ/kg")
print(f"S5: {round(float(s5),3)} kJ/kg K")
p6 = p1
s6 = s5
T6 = steamTable.t_ps(p6, s6)
x6 = steamTable.x_ps(p6, s6)
h6 = steamTable.h_px(p6, x6)
print('\nPoint 6')
print(f"T6: {round(float(T6),1)} degC")
print(f"p6: {round(float(p6),1)} bar")
LPturbeff = 0.9
h6r = h5 - (LPturbeff * h5) + (LPturbeff * h6)
print(f"H6ideal: {round(float(h6),1)} kJ/kg")
print(f"H6real: {round(float(h6r),1)} kJ/kg")
s6r = steamTable.s_ph(p6, h6r)
x6r = steamTable.x_ps(p6, s6r)
print(f"S6ideal: {round(float(s6),3)} kJ/kg K")
print(f"S6real: {round(float(s6r ),3)} kJ/kg K")
print(f"x6ideal: {round(float(x6),2)} ")
print(f"x6real: {round(float(x6r),2)} ")
print('\nSummary')
print(f"Work required by pump: {round(float(w_p),1)} kJ/kg")
w_LPt = h5-h6r
print(f"Work generated by HP turbine: {round(float(w_HPt),1)} kJ/kg")
print(f"Work generated by LP turbine: {round(float(w_LPt),1)} kJ/kg")
print(f"Total work output by turbine: {round(float(w_HPt+w_LPt),1)} kJ/kg")
q_H = (h3-h2)+(h5-h4r)
print(f"Heat input by boiler: {round(float(q_H),1)} kJ/kg")
q_L = h6r-h1
print(f"Heat rejected by the condenser: {round(float(q_L),1)} kJ/kg")
eta_th = (w_HPt+w_LPt-w_p)/q_H*100
print(f"Thermal efficiency is: {round(float(eta_th),1)}%")
HRcycle = 3600*100/eta_th
print(f"HR rankine cycle: {round(float(HRcycle),1)} kJ/kWh")
data = {
'raise temperature to saturation (isobaric)': {
'isoline_property': 'p',
'isoline_value': p2,
'starting_point_property': 's',
'starting_point_value': s1*1000,
'ending_point_property': 's',
'ending_point_value': s2dash*1000
},
'change of state (isothermal)': {
'isoline_property': 'T',
'isoline_value': T2dash,
'starting_point_property': 's',
'starting_point_value': s2dash*1000,
'ending_point_property': 's',
'ending_point_value': s3dash*1000
},
'superheat added (isobaric)': {
'isoline_property': 'p',
'isoline_value': p2,
'starting_point_property': 'T',
'starting_point_value': T3dash,
'ending_point_property': 'T',
'ending_point_value': T3
},
'HP turbine expansion (isentropic)': {
'isoline_property': 's',
'isoline_value': s3*1000,
'isoline_value_end': (s4r)*1000,
'starting_point_property': 'T',
'starting_point_value': T3,
'ending_point_property': 'T',
'ending_point_value': T4
},
'reheat added (isobaric)': {
'isoline_property': 'p',
'isoline_value': p4,
'starting_point_property': 'T',
'starting_point_value': T4,
'ending_point_property': 'T',
'ending_point_value': T5
},
'IP/LP turbine expansion (isentropic)': {
'isoline_property': 's',
'isoline_value': s5*1000,
'isoline_value_end': (s6r)*1000,
'starting_point_property': 'T',
'starting_point_value': T5,
'ending_point_property': 'T',
'ending_point_value': T6
},
'condensing (isobaric)': {
'isoline_property': 'p',
'isoline_value': p6,
'starting_point_property': 's',
'starting_point_value': (s6r)*1000,
'ending_point_property': 's',
'ending_point_value': s1*1000
}
}
diagram = FluidPropertyDiagram(fluid='H2O')
diagram.set_unit_system(T='°C', h='kJ/kg', p='bar')
diagram.calc_isolines()
diagram.set_limits(x_min=0, x_max=8000, y_min=0, y_max=700)
diagram.draw_isolines(diagram_type='Ts')
for name, specs in data.items():
data[name]['datapoints'] = diagram.calc_individual_isoline(**specs)
for key, specs in data.items():
datapoints = specs['datapoints']
diagram.ax.plot(specs['datapoints']['s'], specs['datapoints']['T'], label=key)
diagram.ax.legend(loc='upper left')
diagram.ax.text((s1-.1)*1000,T1,f'(1)\nT = {round(float(T1),2)} C\nP = {round(float(p1),1)} bar \nh = {round(float(h1),1)} kJ/kg\n s = {round(float(s1),3)} kJ/kgK',
ha='right',backgroundcolor='white')
diagram.ax.text(1.6*1000,60,f'(2)\nT = {round(float(T2),2)} C\nP = {round(float(p2),1)} bar \nh = {round(float(h2),1)} kJ/kg',
ha='left',backgroundcolor='white')
diagram.ax.text((s2dash-.15)*1000,T2dash,f"(2')\nT = {round(float(T2dash),2)} C\nP = {round(float(p2),1)} bar \nh = {round(float(h2dash),1)} kJ/kg \ns = {round(float(s2dash),3)} kJ/kgK",
ha='right',backgroundcolor='white')
diagram.ax.text((s3dash-.1)*1000,T3dash-80,f"(3')\nh = {round(float(h3dash),1)} kJ/kg \ns = {round(float(s3dash),3)} kJ/kgK",
ha='right',backgroundcolor='white')
diagram.ax.text(6.3*1000,T3-50,f'(3)\nT = {round(float(T3),2)} C\nh = {round(float(h3),1)} kJ/kg \ns = {round(float(s3),3)} kJ/kgK',
ha='right',backgroundcolor='white')
diagram.ax.text((s4-.1)*1000,T4r-120,f'(4)\nT = {round(float(T4r),2)} C\nP = {round(float(p4),1)} bar \nh = {round(float(h4r),1)} kJ/kg \ns = {round(float(s4r),3)} kJ/kgK',
ha='right',backgroundcolor='white')
diagram.ax.text((s5+.2)*1000,T5-70,f'(5)\nT = {round(float(T5),2)} C\nh = {round(float(h5),1)} kJ/kg \ns = {round(float(s5),3)} kJ/kgK',
ha='left',backgroundcolor='white')
diagram.ax.text((s6r+.1)*1000,T6,f'(6)\nT = {round(float(T6),2)} C\nh = {round(float(h6r),1)} kJ/kg \ns = {round(float(s6r),3)} kJ/kgK \nx = {round(float(x6r),3)}',
ha='left',backgroundcolor='white')
diagram.save('04-rankine-reheat-HighRes-TSdiagram.png', dpi=300)
diagram = FluidPropertyDiagram(fluid='H2O')
diagram.set_unit_system(T='°C', h='kJ/kg', p='bar')
diagram.calc_isolines()
diagram.set_limits(x_min=0, x_max=8000, y_min=0, y_max=4000)
diagram.draw_isolines(diagram_type='hs')
data = {
'raise temperature to saturation (isobaric)': {
'isoline_property': 'p',
'isoline_value': p2,
'starting_point_property': 's',
'starting_point_value': s1*1000,
'ending_point_property': 's',
'ending_point_value': s2dash*1000
},
'change of state (isothermal)': {
'isoline_property': 'T',
'isoline_value': T2dash,
'starting_point_property': 's',
'starting_point_value': s2dash*1000,
'ending_point_property': 's',
'ending_point_value': s3dash*1000
},
'superheat added (isobaric)': {
'isoline_property': 'p',
'isoline_value': p2,
'starting_point_property': 'T',
'starting_point_value': T3dash,
'ending_point_property': 'T',
'ending_point_value': T3
},
'HP turbine expansion (isentropic)': {
'isoline_property': 's',
'isoline_value': s3*1000,
'isoline_value_end': (s4r)*1000,
'starting_point_property': 'T',
'starting_point_value': T3,
'ending_point_property': 'T',
'ending_point_value': T4
},
'reheat added (isobaric)': {
'isoline_property': 'p',
'isoline_value': p4,
'starting_point_property': 'T',
'starting_point_value': T4,
'ending_point_property': 'T',
'ending_point_value': T5
},
'IP/LP turbine expansion (isentropic)': {
'isoline_property': 's',
'isoline_value': s5*1000,
'isoline_value_end': (s6r)*1000,
'starting_point_property': 'T',
'starting_point_value': T5,
'ending_point_property': 'T',
'ending_point_value': T6
},
'condensing (isobaric)': {
'isoline_property': 'p',
'isoline_value': p6,
'starting_point_property': 's',
'starting_point_value': (s6r)*1000,
'ending_point_property': 's',
'ending_point_value': s1*1000
}
}
for name, specs in data.items():
data[name]['datapoints'] = diagram.calc_individual_isoline(**specs)
for key, specs in data.items():
datapoints = specs['datapoints']
diagram.ax.plot(specs['datapoints']['s'], specs['datapoints']['h'], label=key)
diagram.ax.legend(loc='upper left')
diagram.save('04-rankine-reheat-HighRes-HSdiagram.png', dpi=300)