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diff --git a/3731/CH6/EX6.16/Ex6_16.sce b/3731/CH6/EX6.16/Ex6_16.sce new file mode 100644 index 000000000..5767f58a4 --- /dev/null +++ b/3731/CH6/EX6.16/Ex6_16.sce @@ -0,0 +1,59 @@ +//Chapter 6:Induction Motor Drives +//Example 16 +clc; + +//Variable Initialization + +//Ratings of the Delta connected slipring Induction motor +f=50 // frequency in HZ +Vl=400 //line voltage in V +P=6 // number of poles +SR=2.2 //ratio of stator to rotor + +//Parameters referred to the stator +Xr_=1 // rotor winding reactance in ohm +Rr_=0.2 // resistance of the rotor windings in ohm +s=0.04 // given slip when motor runs at full load + +//Solution +Ns=120*f/P //synchronous speed +Wms=2*%pi*Ns/60 +x=(Rr_/s)**2+Xr_**2 +Tf=(3/Wms)*(Vl)**2*(Rr_/s)/x //full load torque +K=Tf/(Ns*(1-s))**2 +N=850 //speed of the motor in rpm +Tl=K*N**2 //torque at the given speed N +s=(Ns-N)/Ns //slip at the given speed N +y=Tl*(Wms/3)/Vl**2 //y=X/(X**2+Xr_**2) and X=(Re+Rr_)/s + +mprintf("\nThe torque at the given speed of 850rpm is:%d N-m",Tl) +mprintf("\nWith a slip of s:%.2f",s) +mprintf("\nTo find the external resistance connected the given quadratic equation is X**2-6.633X+1=0") +mprintf("\nWith X=(Re-Rr_)/s where Re is the required external resistance") + +a = 1 +b = -1/y +c = 1 + +//Discriminant +d = (b**2) - (4*a*c) + +X1 = (-b-sqrt(d))/(2*a) +X2 = (-b+sqrt(d))/(2*a) + +//Results +mprintf("\nThe solutions for X are %.4f and %.4f",X1,X2) +Re1=X1*s-Rr_ +Re2=X2*s-Rr_ + +if (Re1>0) then : +mprintf("\nThe number Re1:%.3f ohm is feasible",abs(Re1)) +R=Re1/SR**2 +mprintf("\nRotor referred value of the external resistance is:%.3f ohm",R) +end + +if (Re2>0) then +mprintf("\nThen Re2:%.3f ohm is feasible",abs(Re2)) +R=Re2/SR**2 +mprintf("\nHence Rotor referred value of the external resistance is:%.3f ohm",R) +end |