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diff --git a/3731/CH7/EX7.2/Ex7_2.sce b/3731/CH7/EX7.2/Ex7_2.sce new file mode 100644 index 000000000..f2c3297ed --- /dev/null +++ b/3731/CH7/EX7.2/Ex7_2.sce @@ -0,0 +1,53 @@ +//Chapter 7:Synchronous Motor and Brushless DC Motor Drives +//Example 2 +clc; + +//Variable Initialization + +//Ratings of the synchronous motor is same as that of Example-7.1 +Pm1=500*1000 // power rating in W +f=50 // frequency in HZ +Vl=3.3*1000 // line voltage in V +pf=0.8 // power factor lagging +P=4 // number of poles +I=10 // field current in A +Xs=15 // reactance of the windings in ohm +Rs=0 // resistance of the windings in ohm +Pm=Pm1/2 // power at half the rated torque when the losses are neglected + +//Solution +Wms=50*%pi // synchronous speed in rad/sec +V=Vl/sqrt(3) // phase voltage +Is=Pm1/(sqrt(3)*Vl*pf) //rated current +rad=acos(pf) + +Is=Is * (cos(-rad) + sin(-rad)*%i) //rated current in vector form +V=V * (cos(0) + sin(0)) //rated phase voltage in rectangular form +E=V-Is*%i*Xs //back emf + +//(i) at rated current and unity power factor +E1=V-abs(Is)*%i*Xs +delta=phasemag(E1) //phase angle of E1 +nd=delta*%pi/180 +Pm=3*abs(V)*abs(E1)*sin(nd)/Xs //mechanical power developed +T=Pm/Wms //braking torque +If=abs(E1)/abs(E)*I //field current + +//(ii) at field current of 15A and 500kW output +If1=15 //field current +Pm=-500*1000 //output power +E2=If1/I*abs(E) +sin_delta=Pm*Xs/(3*abs(V)*abs(E2)) +delta=asin(sin_delta) //angle delta +Is=((E2*(cos(abs(delta))+sin(abs(delta))*%i))-V)/(%i*Xs) //armature current +Isn=phasemag(Is) +x=(Isn)*%pi/180 //phase angle of Is +power_factor=cos(x) //power factor + + +//Results +mprintf("i)Braking torque :%.1f N-m",T) +mprintf("\nField current:%.2f A",If) +mprintf("\nii)Armature current :%.2f %.2f ° A",abs(Is),Isn) +mprintf("\nPower factor:%.3f lagging",power_factor) +//Note :There is a slight difference in the answers |