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+clc
+//variable initialization
+V=380 //line voltage in volts
+P=8 //number of poles
+f=50 //frequency in Hz
+n=1.25
+N1=600 //speed in rpm
+N2=400 //speed in rpm
+
+//solution
+Ns=(120*f/P)
+s=(Ns-N1)/Ns
+Vd1=(3*sqrt(6)*s*(V/sqrt(3)))/(%pi*n)
+m=(3*sqrt(6)*(V/sqrt(3)))/(%pi*Vd1)
+a=acosd(-(s*(n/m)))
+s1=(Ns-N2)/Ns
+s1=0.4//TRo avoid further Computational errors
+Vdc=(3*sqrt(6)*s1*(V/sqrt(3))/%pi)/n
+Vd2=(3*sqrt(6)*s1*(V/sqrt(3)))/(%pi*n)
+m1=(((3*sqrt(6))/%pi)*(V/sqrt(3)))/Vd2
+a1=acosd(s1/(m1/n))
+w1=(2*%pi*Ns)/60
+w2=w1/(1+(m/n))//Speed in rad/sec
+w21=w2*60/(2*%pi)
+printf('\n\n The Firing Angle for 600rpm=%0.1f\n\n',a)
+printf('\n\n The Firing Angle for 400rpm=%0.1f\n\n',a1)
+printf('\n\n Minimum Possible Speed=%0.1f rpm\n\n',w21)
+//The answers vary due to round off error