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diff --git a/3731/CH5/EX5.11/Ex5_11.sce b/3731/CH5/EX5.11/Ex5_11.sce new file mode 100644 index 000000000..b63945d9f --- /dev/null +++ b/3731/CH5/EX5.11/Ex5_11.sce @@ -0,0 +1,53 @@ + +//Chapter 5:Dc Motor Drives +//Example 11 +clc; + +//Variable Initialization + +//Ratings of the separately excited motor +V=220 // rated voltage in V +N=600 // rated speed in rpm +Ia=500 // rated current in A +Ra=0.02 // armature resistance in ohms +Rf=10 // field resistance in ohms + +//Solution +Ia1=2*Ia +E1=V-Ia*Ra //rated back emf at rated operation +Wm1=2*%pi*N/60 //angular speed +Trated=E1*Ia1/Wm1 //rated torque + +//(i) When the speed of the motor is 450rpm +N1=450 //given speed in rpm +Tl=2000-2*N1 //load torque is a function of the speed as given +Ia2=Tl/Trated*Ia1 //for a torque of Tl as a function of current +E2=N1/N*E1 //for a given speed of 450rpm +V2=E2+Ia2*Ra //terminal voltage for a given speed of 450 rpm + +//(ii) when the speed of the motor is 750rpm +N1=750 //given speed in rpm +Tl=2000-2*N1 //load torque is a function of the speed as given +Wm_=2*%pi*N1/60 +Ke_phi1=E1/Wm1 + +//Since we know that V=Ke*phi*Wm+Ia*Ra by solving we get that 0.02*(Ia_)**2 -220*Ia_ + 39270 = 0" +a = 0.02 +b = -220 +c = 39270 + +//Discriminant +d = (b**2) - (4*a*c) + +Ia_1 = (-b-sqrt(d))/(2*a) +Ia_2 = (-b+sqrt(d))/(2*a) + +Ke_phi=Tl/abs(Ia_1) +V1=V*Ke_phi/Ke_phi1 //required field voltage + +//Results +mprintf("(i)Hence motor terminal voltage is :%.1f V",V2) +mprintf("\nAnd the armature current is :%.1f A",Ia2) +mprintf("\n(ii)The solutions for Ia_ are %.1f A and %.1f A",abs(Ia_1),abs(Ia_2)) +mprintf("\nWe ignore %d A since it is infeasible,\n Hence armature current is :%.1f A",abs(Ia_2),abs(Ia_1)) +mprintf("\nHence the required field voltage is :%.1f V",V1) |