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+//debug
+clc;
+V1=420; //supply voltage
+r1=2.95;
+x1=6.82;
+r2=2.08;
+x2=4.11;
+Iml=6.7; //magnetizing line current
+Pw=269; //core loss
+s=0.03; //slip
+P=12;
+f=50;
+N=(120*f)/P;
+Ns=(120*f)/P;
+
+Im=Iml/sqrt(3);
+//V1=E1+Im(r1+jx1)
+//Above equation on solving gives the solution as E1*E1+52.8E1-175572.65
+Q=[1 52.8 -175572.62];
+R=roots(Q);
+E1=R(2);
+Xm=E1/Im;
+//As per the circuit diagram
+a=r2/s;
+Zf=(((r2/s)+x2*%i)*Xm*%i)/((r2/s)+((x2+Xm)*%i));
+Rf=real(Zf);
+Zab=complex((real(Zf)+r1),(imag(Zf)+x1));
+I1=420/Zab;
+I1M=sqrt((real(I1)*real(I1))+(imag(I1)*imag(I1)));
+an1=atand(imag(I1),real(I1));
+pf=cosd(atand(imag(I1)/real(I1)));
+I2=I1*(Xm*%i)*(1/((r2/s)+((x2+Xm)*%i)));
+an2=atand(imag(I2),real(I2));
+I2M=sqrt((real(I2)*real(I2))+(imag(I2)*imag(I2)));
+T=3*(60/(2*%pi*N))*I1M*I1M*Rf;
+
+mprintf('The power factor is %f Lag\n The input current is %f A lagging by an angle of %f degrees \n The output rotor current is %f A lagging by an angle of %f degrees \n The Torque developed is %f Nm \n',pf,I1M,-an1,I2M,-an2,T);
+
+
+//For maximun Torque
+X1=x1+Xm;
+Re=(r1*Xm)/X1;
+Xe=(x1*Xm)/X1;
+smT=r2/(sqrt((Re)*(Re)+(x2+Xe)*(x2+Xe)));
+Nm=Ns*(1-smT);
+Tem=3*(E1)*(E1)*(1/(Re+(sqrt((Re)*(Re)+(x2+Xe)*(x2+Xe)))))*(1/2)*(1/(2*%pi*(N/60)));
+mprintf('maximum torque developed is %f Nm \n corresponding speed is %f rpm',Tem,Nm);
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