initial commit / add all books

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+clc

+//Variable initialisation

+V=400//Supply voltage in volts

+f=50//Supply Frequency in Hz

+P=6//No of poles

+Rs=0.2//stator resistance in ohm

+Rr=0.07//Rotor resistance in ohm

+Xs=0.4//Stator impedance in ohm

+Xr=0.4//Rotor impedance in ohm

+Sm1=0.25//Maximum Slip at 25% speed range

+N1=750//Speed in rpm

+a1=130

+am=150//maximum Firing Angle

+n=2//Stator to rotor turns ratio

+Rd=0.02//Dc link resistance in ohm

+N2=950//Speed in rpm

+N3=850//Speed in rpm

+//Solution

+V1=V/sqrt(3)

+Ns=120*f/P//Synchronous speed in rpm

+Wms=Ns*2*%pi/60

+a=-Sm1/cosd(am)//At 25% speed Range

+m=2/a//Transformer Turns Ratio

+S1=(Ns-N1)/Ns

+Vd11=3*sqrt(6)*S1*V1/(%pi*n)

+Vd21=3*sqrt(6)*V1*cosd(a1)/(%pi*m)

+Rs1=Rs/(n^2)

+Rr1=Rr/(n^2)

+Id1=(Vd11+Vd21)/(2*((S1*Rs1)+Rr1)+Rd)//The answers vary due to round off error

+T1=abs(Vd21)*Id1/(S1*Wms)//The answers vary due to round off error

+S2=(Ns-N2)/Ns

+Tr=(3/Wms)*V1^2*(Rr/S2)/((Rs+(Rr/S2))^2+(Xs+Xr)^2)//Rated torque in N-m

+Thr=Tr/2//Half rated Torque in N-m

+S3=(Ns-N3)/Ns

+X=poly(0,'X')//let X=cos(a2)

+Vd12=3*sqrt(6)*S3*V1/(%pi*n)

+Vd22=3*sqrt(6)*V1*X/(%pi*m)

+Id2=(Vd12+Vd22)/(2*((S3*Rs1)+Rr1)+Rd)

+T2=abs(Vd22)*Id2/(S3*Wms)

+//Equating T2 to Thr

+0==5547.31*X^2-2878.788*X+349.52//Polynomial Equation in X

+X1=(2878.788+sqrt((2878.788^2)-4*5547.31*349.52))/(2*5547.31)//Roots of polynomial eqn

+X2=(2878.788-sqrt((2878.788^2)-4*5547.31*349.52))/(2*5547.31)//Roots of polynomial eqn

+a11=acosd(-X1)

+a22=acosd(-X2)

+printf('\n\n Transformer Turns Ratio=%0.1f \n\n',m)

+printf('\n\n Torque for 750rpm and alpha 130=%0.1f N-m\n\n',T1)

+printf('\n\n The Field Current=%0.1f \n\n',a11)

+printf('\n\n The Field Current=%0.1f \n\n',a22)

+//The answers vary due to round off error