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diff --git a/3731/CH6/EX6.9/Ex6_9.sce b/3731/CH6/EX6.9/Ex6_9.sce new file mode 100644 index 000000000..c478d4446 --- /dev/null +++ b/3731/CH6/EX6.9/Ex6_9.sce @@ -0,0 +1,70 @@ +//Chapter 6:Induction Motor Drives +//Example 9 +clc; +clf(); +//Variable Initialization + +//Ratings of the star connected squirrel Induction motor +f=50 // frequency in HZ +Vl=400 // line voltage in V +P=4 // number of poles +N=1370 // rated speed + +//Frequency variation is from 10 Hz to 50 Hz +fmin=10 +fmax=50 + +//Parameters referred to the stator +Xr_=3.5 // rotor winding reactance in ohm +Xs=Xr_ // stator winding reactance in ohm +Rr_=3 // resistance of the rotor windings in ohm +Rs=2 // resistance of the stator windings in ohm + +//Solution +Ns=120*f/P //synchronous speed +N1=Ns-N //increase in speed from no load to full torque rpm +Wms=2*%pi*Ns/60 +s=(Ns-N)/Ns //full load slip + +//(i)to obtain the plot between the breakdown torque and the frequency +K=0.1 +k=[] +frequency=[] +torque=[] +for i=0:8 +K=K+0.1 +f1=K*f +x=Rs/K+sqrt((Rs/K)**2+(Xs+Xr_)**2) +Tmax=(3/2/Wms)*(Vl/sqrt(3))**2/x +k($+1)=K +frequency($+1)=f1 +torque($+1)=Tmax +end +disp(k,"K:") +disp(frequency,"f:in Hz") +disp(torque,"Tmax:in N-m") + +//Plotting the values of Tmax vs f +plot(frequency,torque) +xgrid(2) +xlabel('f,Hz') +ylabel('Tmax,N-m') +title('Torque vs frequency characteristic') + +//(ii) to obtain the starting torque and current at rated frequency and voltage +x=(Rs+Rr_)**2+(Xs+Xr_)**2 +Tst=(3/Wms)*(Vl/sqrt(3))**2*Rr_/x //starting torque at 50 Hz frequency +Ist=(Vl/sqrt(3))/sqrt(x) //starting current at 50 Hz frequency + +K=fmin/fmax //minimum is available at 10 Hz +y=((Rs+Rr_)/K)**2+(Xs+Xr_)**2 +Tst_=(3/Wms)*(Vl/sqrt(3))**2*Rr_/K/y //starting torque at 10 Hz frequency +Ist_=(Vl/sqrt(3))/sqrt(y) //starting current at 10 Hz frequency + +ratio1=Tst_/Tst //ratio of starting torque to the rated starting torque +ratio2=Ist_/Ist //ratio of starting current to the rated starting current + +//Results +mprintf("\n(i)Hence from the plot we can see that for a constant (V/f) ratio breakdown torque decreases with frequency") +mprintf("\n(ii)Hence the required ratio of starting torque to the rated starting torque is :%.3f",ratio1) +mprintf("\nHence the required ratio of starting current to the rated starting current is :%.2f",ratio2) |