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diff --git a/3731/CH6/EX6.5/Ex6_5.sce b/3731/CH6/EX6.5/Ex6_5.sce new file mode 100644 index 000000000..72969a347 --- /dev/null +++ b/3731/CH6/EX6.5/Ex6_5.sce @@ -0,0 +1,57 @@ +//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 |