Challenge

Project 2 - Rankine cycle Simulator

Rankine cycle

pressure of the heated steam in the tubine, cooling station pressure , working of tubine and water pumb, over all efficiency of the rankine cycle

%simple rankine cycle
%The pressure in condenser

P1=5.38;
P4=P1;
% the maximal temprature
T3=538;
%the pressure in boiler
P3=44;
P2=P3;
%computation of work of the bump

V1=XSteam('vL_p',P1);

Wp=-100*V1*(P2-P1);

%computation of Qin
h1=XSteam('hL_p',P1,T1);
h2=h1-Wp;
h3=XSteam('h_pT',P3,T3);
qin=h3-h2;
%computation of the work of the turbine
s3=XSteam('s_pT',44,538);
s4=s3;
h4=XSteam('h_ps',P4,s4);
Wt=h3-h4;
T1=XSteam('T_ph',P1, h1);
T2=XSteam('T_ph',P2, h2);
T4=XSteam('T_ph',P4, h4);
%computation of the thermal effieciency
s1=XSteam('s_pT',P1,T1);
s2=XSteam('s_pT',P2,T2);

Eff=100*(Wt-abs(Wp))/qin;


%computation of the quality at the exit of the turbine
x4=XSteam('x_ps',P4,s4);
figure(1)
hold on
plot(T1,s1,'*','color','b');
plot(T2,s2,'*','color','b');
plot(T3,s3,'*','color','b');
plot(T4,s4,'*','color','b');
plot([T1 T2 T3 T4],[s1 s2 s3 s4],'color','r');
xlabel('Temprature');
ylabel('Entropy');


figure(2)
hold on
plot(h1,s1,'*','color','b');
plot(h2,s2,'*','color','b');
plot(h3,s3,'*','color','b');
plot(h4,s4,'*','color','b');
plot([h1 h2 h3 h4],[s1 s2 s3 s4],'color','r');
xlabel('Enthalpy');
ylabel('entropy');

disp('Work of the bump:');disp(Wp)
disp('Work of the turbine :');disp(Wt)
disp('Efficiency:');disp(Eff)

Calculation work efficiency of the Rankine cycle


fprintf('state point1: \n')
disp('P1:');disp(P1)
disp('S1:');disp(s1)
disp('T1:');disp(T1)
disp('h1:');disp(h1)

fprintf('state point3: \n')
disp('P2:');disp(P2)
disp('S2:');disp(s2)
disp('T2:');disp(T2)
disp('h2:');disp(h2)


fprintf('state point3: \n')
disp('P3:');disp(P3)
disp('S3:');disp(s3)
disp('T3:');disp(T3)
disp('h3:');disp(h3)


fprintf('state point1: \n')
disp('P4:');disp(P4)
disp('S4:');disp(s4)
disp('T4:');disp(T4)
disp('h4:');disp(h4)
disp('x4:');disp(x4)

COMMAND window ouput showing

rankine_cycle


Work of the bump:
-4.2316

Work of the turbine :
611.5106

Efficiency:
21.1420

state point1:
P1:
5.3800

S1:
6.7961

T1:
154.6394

h1:
652.2148

state point3:
P2:
44

S2:
1.8889

T2:
155.0766

h2:
656.4464

state point3:
P3:
44

S3:
7.1540

T3:
538

h3:
3.5288e+03

state point1:
P4:
5.3800

S4:
7.1540

T4:
229.7310

h4:
2.9173e+03

x4:
1

conclution

Increase the temprature of the steam value that effieciency of rankine cycle will be increased further increasing the temprature to step by step 400,450,500,550,600 the efficiency likewise 36.0910,38.7152,41.0245,43.1190,45.0512

if possible to increase the temprature value the turbine efficiency will increase, the more output power will be getting

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