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Rankine Cycle with Reheat Steam Power Plant _Turbine Work output, Thermal Efficiency & T- S Diagram
This video will demonstrates a steam power plant operates on the ideal reheat Rankine cycle.
Steam enters the high pressure turbine at 8 MPa and 500 C and leaves at 3 MPa.
Steam is then reheated at constant pressure to 500 C before it expands to 20 kPa in the low pressure turbine.
Determine the turbine work output, in kJ/kg, and the thermal efficiency of the cycle.
Also show the cycle on a T-s diagram with respect to the saturation lines.
"!Pump analysis"
P[1] = P[6]
P[2]=P[3]
x[1]=0 "Sat'd liquid"
h[1]=enthalpy(Steam,P=P[1],x=x[1])
v[1]=volume(Steam,P=P[1],x=x[1])
s[1]=entropy(Steam,P=P[1],x=x[1])
T[1]=temperature(Steam,P=P[1],x=x[1])
W_p_s=v[1]*(P[2]-P[1]) "SSSF isentropic pump work assuming constant specific volume"
W_p=W_p_s/Eta_p
h[2]=h[1]+W_p "SSSF First Law for the pump"
v[2]=volume(Steam,P=P[2],h=h[2])
s[2]=entropy(Steam,P=P[2],h=h[2])
T[2]=temperature(Steam,P=P[2],h=h[2])
"!High Pressure Turbine analysis"
h[3]=enthalpy(Steam,T=T[3],P=P[3])
s[3]=entropy(Steam,T=T[3],P=P[3])
v[3]=volume(Steam,T=T[3],P=P[3])
s_s[4]=s[3]
hs[4]=enthalpy(Steam,s=s_s[4],P=P[4])
Ts[4]=temperature(Steam,s=s_s[4],P=P[4])
Eta_t=(h[3]-h[4])/(h[3]-hs[4]) "Definition of turbine efficiency"
T[4]=temperature(Steam,P=P[4],h=h[4])
s[4]=entropy(Steam,T=T[4],P=P[4])
v[4]=volume(Steam,s=s[4],P=P[4])
h[3] =W_t_hp+h[4] "SSSF First Law for the high pressure turbine"
"!Low Pressure Turbine analysis"
P[5]=P[4]
s[5]=entropy(Steam,T=T[5],P=P[5])
h[5]=enthalpy(Steam,T=T[5],P=P[5])
s_s[6]=s[5]
hs[6]=enthalpy(Steam,s=s_s[6],P=P[6])
Ts[6]=temperature(Steam,s=s_s[6],P=P[6])
vs[6]=volume(Steam,s=s_s[6],P=P[6])
Eta_t=(h[5]-h[6])/(h[5]-hs[6]) "Definition of turbine efficiency"
h[5]=W_t_lp+h[6] "SSSF First Law for the low pressure turbine"
x[6]=quality(Steam,h=h[6],P=P[6])
"!Boiler analysis"
Q_in + h[2]+h[4]=h[3]+h[5] "SSSF First Law for the Boiler"
"!Condenser analysis"
h[6]=Q_out+h[1] "SSSF First Law for the Condenser"
T[6]=temperature(Steam,h=h[6],P=P[6])
s[6]=entropy(Steam,h=h[6],P=P[6])
x6s$=' ('||Phase$(steam,h=h[6],P=P[6])||')'
"!Cycle Statistics"
W_net=W_t_hp+W_t_lp-W_p "net work"
Eff=W_net/Q_in "cycle eficiency"
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This Video shows how to solve thermodynamic problem using EES
Problem: A compressor takes in 1.2 kg/s of R-134 that is in a saturated vapor state at -24°C. The compressor outlet state is at 0.8 MPa and 100°C.
Find: The power input of R-134 by the compressor, the volumetric flow rate at the exit and how much power must be provided by an electric motor if the compressor’s efficiency is 70%. Then, set up a parametric table that re-solves for both the power input and volumetric outflow rate for outlet temperatures: 180, 160, 100, and 80° C. No more than three sig figs for results computed for EES.
In this video, we will use a thermodynamics problem - Courtesy of ES2310 taught by Dr. Paul Dellenback
Step 1: Enter the problem information
Step 2: Use EES to obtain the values of enthalpy and density at states one and two.
Step 3: Enter the thermodynamics equations we want to solve for in EES
Step 4: Build a Parametric Table for a range of temperatures at state two.
EES is a general equation- solving program capable of solving hundreds of non-linear algebraic and differential equations.
EES has built-in functions for the thermodynamic and transport properties of many substances and the capability for you to easily add your own functions.
EES can do regression and optimization.
The following will demonstrate how to solve simultaneous equations using EES.
The techniques used to solve the example problem may be applied to solve much more complicated problems.