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+clc;
+v=6600; // rated voltage of motor
+zs=1.5+12*%i ; // per phase synchronous impedance
+pi1=1000; // input power
+pf=0.8; // power factor
+pi2=1500; // power at which power factor is to be found out
+vt=v/sqrt(3); // per phase voltage
+al=atand(real(zs),imag(zs));
+ia=(pi1*1000)/(sqrt(3)*v*pf);
+Ef=sqrt((vt*pf-ia*real(zs))^2+(vt*sqrt(1-pf^2)+ia*imag(zs))^2); // excitation EMF
+t1=(pi2*1000)/3;
+t2=(vt^2/abs(zs)^2)*real(zs);
+t3=abs(zs)/(vt*Ef); // terms needed to evaluate load angle
+di=asind((t1-t2)*t3)+al; // load angle
+ia=(sqrt(vt^2+Ef^2-2*Ef*vt*cosd(di)))/abs(zs); // new armature current
+pfn=((pi2-pi1)*1000)/(ia*vt);
+// as Ef*cos(di)+ia*ra> vt hence leading power factor
+printf('New power factor is %f leading',pfn);