Design of a Gas Turbine (Regenerative Brayton Cycle): Hi, attached is the proble

Question

Design of a Gas Turbine (Regenerative Brayton Cycle):

Hi, attached is the problem which must be completed using a Matlab code. Thank you.

Design of a Gas Turbine: INVESTIGATION OF THE EFFECTS OF VARIOUS DESIGN AND OPERATING PARAMETERS ON THERMAL EFFICIENCY AND BACK WORK RATIO OF A GAS TURBINE Formulate and write a computer program to determine the effects of pressure ratio, minimum/maximum temperature ratio, compressor efficiency, turbine efficiency, and regenerator effectiveness on cycle thermal efficiency, network output per unit mass, and back work ratio of a regenerative Brayton cycle Treat the working fluid as air entering the compressor at ambient condition. Assume constant specific heats for air at an average temperature (average of minimum and maximum temperatures) and use equations to relate thermodynamic properties (Do not use Air Table). Test your program using ambient condition of 101 kPa pressure and 300 K temperature Determine the net work output, the back work ratio, and the thermal efficiency for al combinations of the following parameters: Pressure ratio: Maximum cycle temperature: Compressor adiabatic efficiency: Turbine adiabatic efficiency Regenerator effectiveness 5, 10, 15, 20 1500, 2000, 2500, 3000 K 75, 85, 100 percent 75, 85, 100 percent 75, 85, 100 percent Tabulate your results for the effect of each parameter. Also show the results graphically Plot cycle thermal efficiency and back work ratio (y-axis) versus pressure ratio (x-axis) using other parameter as variables, one parameter at a time. On each graph list the values of all parameters used. Analyze and discuss your results and related design considerations. Draw conclusions for the effect of each parameter as well as the combined parameters on Overall Cycle Efficiency and Back Work Ratio. Discuss when you recommend using a regenerator in a gas turbine cycle. Specify your optimum design for this power plant

Explanation / Answer

I have tried to generate a code for your understanding on how brayton cycle is designed in MATLAB as below:

clc
clear

K=1.4;
R=8.314;
cp=(R*K)/(K-1);

M=10;

T1=300;
T2=340;
T3=700;
T4=410;

S1=30;
S2=30;
S3=100;
S4=100;

P1=1;
P2=16;
P3=16;
P4=1;

V1=(R*T1)/P1;
V2=(R*T2)/P2;
V3=(R*T3)/P3;
V4=(R*T4)/P4;

deltaS1=(S2-S1)/M;
deltaS2=(S3-S2)/M;
deltaS3=(S4-S3)/M;
deltaS4=(S1-S4)/M;

deltaT1=(T2-T1)/M;
deltaT2=(T3-T2)/M;
deltaT3=(T4-T3)/M;
deltaT4=(T1-T4)/M;

deltaP1=(P2-P1)/M;
deltaP2=(P3-P2)/M;
deltaP3=(P4-P3)/M;
deltaP4=(P1-P4)/M;

deltaV1=(V2-V1)/M;
deltaV2=(V3-V2)/M;
deltaV3=(V4-V3)/M;
deltaV4=(V1-V4)/M;

plot(S1,T1,'*');
hold on;
plot(S2,T2,'*');
hold on;
plot(S3,T3,'*');
hold on;
plot(S4,T4,'*');
grid on

X1=[ S1 S1 ];
Y1=[ T1 T2 ];
line(X1,Y1)
X2=[ S3 S4 ];
Y2=[ T3 T4 ];
line(X2,Y2)
X3=[ S2 S3 ];
Y3=[ T2 T3 ];
line(X3,Y3)
X4=[ S1 S4 ];
Y4=[ T1 T4 ];
line(X4,Y4)
xlabel('S (KJ/Kgk)')
ylabel('T (K)')
set(gca,'XLim',[(S1-10) (S2+100)],'YLim',[0 (T4+400)])
title('Regenerative Brayton Cycle')

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