//Chapter 6:Induction Motor Drives //Example 4 clc; //Variable Initialization //Ratings of the star connected Induction motor f=50 // frequency in HZ Vl=440 // line voltage in V P=6 // number of poles Vp=Vl/sqrt(3) //phase voltage in V //Parameters referred to the stator Xr_=1.2 // rotor winding reactance in ohm Xs=Xr_ // stator winding reactance in ohm Rr_=0.4 // resistance of the rotor windings in ohm Rs=0.5 // resistance of the stator windings in ohm Xm=50 // no load reactance in ohms N=950 // full load speed in rpm Sm=2 // slip at maximum torque //Solution Rr_=Sm*sqrt(Rs**2+(Xs+Xr_)**2) //Since Sm=Rr_/sqrt(Rs**2+(Xs+Xr_)**2) Ns=120*f/P //synchronous speed in rpm Wms=2*%pi*Ns/60 s=(Ns-N)/Ns //slip at 950 rpm x=%i*Xm*(Rr_/s+%i*Xr_) y=Rr_/s+%i*(Xr_+Xm) Zp=Rs+%i*Xs+x/y Ip=Vp/sqrt(3)/Zp //The value of Ip is wrong which leads to other wrong answers Irp_=Ip*(%i*Xm)/(Rr_/s+%i*(Xr_+Xm)) Tp=(1/Wms)*3*abs(Irp_)**2*Rr_/s x=%i*Xm*(Rr_/(2-s)+%i*Xr_) y=Rr_/(2-s)+%i*(Xr_+Xm) Zn=Rs+%i*Xs+x/y In=Vp/sqrt(3)/Zn Irn_=In*(%i*Xm)/(Rr_/(2-s)+%i*(Xr_+Xm)) Tn=-(1/Wms)*3*abs(Irn_)**2*Rr_/(2-s) //The value of In is wrong T=Tp-Tn I=abs(Ip)+abs(In) Rr_=0.4 // from the parameters of the motor referred to the stator x=sqrt((Rs+Rr_/s)**2+(Xs+Xr_)**2) If=(Vl/sqrt(3))/x //full load current Tf=(1/Wms)*3*If**2*Rr_/s //full load torque ratio1=I/If ratio2=abs(T)/Tf //Results mprintf("Ratio of braking current to full load current is:%.3f",ratio1) mprintf("\nRatio of braking torque to full load torque is:%.3f",ratio2) //Answer provided in the book is wrong