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+// Example  1.84

+

+clc;clear;close;

+

+// Given data

+format('v',7);

+P=4;//no. of poles

+f=50;//in Hz

+R2=0.4;//in ohm

+X2=4;//in ohm

+

+//calculations

+Ns=120*f/P;//in rpm

+Sm=R2/X2;//slip at max Torque

+Nm=Ns*(1-Sm);//in rpm

+disp(Nm,"Speed at Max Torque in N-m : ");

+TmaxByTst=(1+Sm^2)/2/Sm;//ratio

+disp(TmaxByTst,"Ratio of max Torque to starting Torque : ");

+//After adding additional resistance

+TstByTm=1/2;//given ratio

+//TstByTm=2*X2*(R2+r)/((R2+r)^2+X2^2);//ratio

+P=[TstByTm TstByTm*2*R2-2*X2 TstByTm*(R2^2+X2^2)-2*X2*R2];//polynomial for additional value of resistance 

+r=roots(P);//in ohm

+r=r(2);//leaving higher value

+disp(r,"Required resistance value in ohm ; ");

+//Answer of resistance is wrong in the book.