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+clc;
+v=230; // rated voltage of motor
+f=50; // frequency
+p=4; // number of poles
+zs=0.6+3*%i; // synchronous impedance
+ia1=10; // current drawn by motor at upf
+ia2=40; // final current after load is inceased to certain value
+vt=v/sqrt(3); // per phase voltage
+al=atand(real(zs),imag(zs));
+Ef=sqrt((vt-ia1*real(zs))^2+(ia1*imag(zs))^2); // excitation EMF
+t1=(ia2*abs(zs))^2;
+t2=Ef^2+vt^2;
+t3=-2*Ef*vt; // terms needed to evaluate load angle
+de=acosd((t1-t2)/t3); // load angle
+pi=(Ef*vt*sind(de-al))/abs(zs)+(vt^2*real(zs))/abs(zs)^2; // input power
+pf=pi/(vt*ia2);
+printf('Power factor is %f lagging\n',pf);
+pd=3*(pi-ia2^2*real(zs)); // developed power
+ns=(120*f)/p; // synchronous speed
+T=(pd*60)/(2*%pi*ns);
+printf('Torque developed is %f N-m',T);