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diff --git a/3731/CH7/EX7.1/Ex7_1.sce b/3731/CH7/EX7.1/Ex7_1.sce new file mode 100644 index 000000000..820ce94cf --- /dev/null +++ b/3731/CH7/EX7.1/Ex7_1.sce @@ -0,0 +1,57 @@ +//Chapter 7:Synchronous Motor and Brushless DC Motor Drives +//Example 1 +clc; + +//Variable Initialization + +//Ratings of the synchronous motor +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 +Wms=50*%pi // synchronous speed in rad/sec +Pm=Pm1/2 // power at half the rated torque when the losses are neglected + +//Solution +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) When field current has not changed +sin_delta=Pm*Xs/(3*abs(V)*abs(E)) +delta=asin(sin_delta) //angle delta +Is=(V-(abs(E) * (cos(-delta) + sin(-delta)*%i)))/(%i*Xs) //armature current +Is1=[] +Is1(1)=abs(Is) +Isp=phasemag(Is) +x=Isp +n1=x*%pi/180 +power_factor=cos(n1) //power factor + +//(ii) At unity power factor and rated torque +cos_phi=1 +Is=Pm1/(3*V) //since Pm1=3*V*Is +E1=V-Is*%i*Xs +If=abs(E1)/abs(E)*I //field current + +//(iii) At the field current of 12.5 A +If1=12.5 //field current +E2=If1/I*abs(E) +Is=sqrt(E2**2-abs(V)**2)/Xs //since E2=abs(V-Is*1j*Xs) +Pm=3*abs(V)*Is*cos_phi //power output at the given field current +T=Pm/Wms //required torque + +//results +mprintf("i)Armature current :%.2f %.1f ° A",abs(Is1),x) +mprintf("\nPower factor:%.2f lagging",power_factor) +mprintf("\nii)Field current at unity power factor at rated torque:%.2f A",If) +mprintf("\niii)Required torque is:%.1f N-m",T) +//There is a slight difference in the answer |