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diff --git a/3731/CH6/EX6.7/Ex6_7.sce b/3731/CH6/EX6.7/Ex6_7.sce new file mode 100644 index 000000000..234242390 --- /dev/null +++ b/3731/CH6/EX6.7/Ex6_7.sce @@ -0,0 +1,50 @@ +//Chapter 6:Induction Motor Drives +//Example 7 +clc; + +//Variable Initialization + +//Ratings of the Star connected Induction motor +f=50 // frequency in HZ +Vl=2200 // line voltage in V +P=6 // number of poles + +//Parameters referred to the stator +Xr_=0.5 // rotor winding reactance in ohm +Xs=Xr_ // stator winding reactance in ohm +Rr_=0.12 // resistance of the rotor windings in ohm +Rs=0.075 // resistance of the stator windings in ohm +J=100 // combine inertia of motor and load in kg-m2 + +//Solution + +//(i) During starting of the motor +Sm=Rr_/sqrt(Rs**2+(Xs+Xr_)**2) //slip at maximum torque +Wms=4*%pi*f/P //angular frequency +x=Rs+sqrt(Rs**2+(Xs+Xr_)**2) +Tmax=(3/2/Wms)*(Vl/sqrt(3))**2/x //maximum torque +tm=J*Wms/Tmax //mechanical time constant of the motor +ts=tm*(1/4/Sm+1.5*Sm) //time taken during starting +Es=1/2*J*Wms**2*(1+Rs/Rr_) //energy disspated during starting + +//(ii) When the motor is stopped by plugging method +tb=tm*(0.345*Sm+0.75/Sm) //time required to stop by plugging +Eb=3/2*J*Wms**2*(1+Rs/Rr_) //energy disspated during braking + +//(iii)Required resistance to be inserted during plugging +tb1=1.027*tm //minimum value of stopping time during braking +x=1.47*(Xs+Xr_) //x=Rr_+Re +Re=x-Rr_ //Re is the required external resistance to be connected +Ee=3/2*J*Wms**2*(Re/(Re+Rr_)) //energy disspated in the external resistor +Eb1=Eb-Ee //total energy disspated during braking + + +//Results + +mprintf("(i)Time taken during starting is ts:%.4f s",ts) +mprintf(" \nEnergy dissipated during starting is Es:%d kilo-watt-sec",Es/1000) +mprintf("\n\n(ii)Time taken to stop by plugging is tb:%.2f s",tb) +mprintf(" \nEnergy dissipated during braking is Eb:%d kilo-watt-sec",Eb/1000) +mprintf("\n\n(iii)Minimum Time taken to stop by plugging is tb:%.2f s",tb1) +mprintf(" \nRequired external resistance to be connected is Re:%.2f ohm",Re) +mprintf(" \nTotal Energy dissipated during braking is Eb:%.2f kilo-watt-sec",Eb1/1000) |