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equal-area-critirea
E=input( enter the generator voltage: )
V=input( enter the infinite bus voltage: )
Gx=input( enter the reactance of generator: )
L1x=input( enter the line reactance: )
L2x=input( enter the line reactance: )
L3x=input( enter the line reactance: )
L4x=input( enter the line reactance: )
Pi=input( enter the input power: )
X1=Gx+L1x+((L2x*L3x)/(L2x+L3x))+L4x
Pm1=E*V/X1
DO=asin(Pi/Pm1)
A=((L2x*L3x)/(2*(L2x+L3x)))
C=A
B=((L3x/2)^2)/(L2x+L3x)
X2=(Gx+L1x+A)+(L4x+A)+(Gx+L1x+A)*(A+L4x)/B
Pm2=(E*V)/X2
X3=Gx+L1x+L2x+L4x
Pm3=(E*V)/X3
DC=input( enter the fault clearing angle: )
Dm=(3.14-asin(Pi/Pm3))
a1=quad( sin ,DO,DC)
A1=(Pi*(DC-DO)-Pm2*a1)
a2=quad( sin ,DC,Dm)
A2=Pm3*a2-Pi*(Dm-DC)
if(A2>=A1)
disp( the system is stable )
else
disp( the system is unstable )
end
Dcc=acos((Pi*(Dm-DO)-Pm2*(cos(DO))+Pm3*(cos(Dm)))/(Pm3-Pm2))
disp( critical clearing angle: )
Dcc
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