A 3-phase, 4-pole, star connected, 415 V, 50 Hz, induction motor has the following T equivalent circuit parameters: R = 0.4 2, R2= 0.56 2, X, = X2 = 1.05 2, and Xm= 47.92 N (R. can be ignored) The total friction, windage, and core losses may be assumed to be constant at 700 W, independent of load. a) Calculate the starting internal torque and the corresponding stator current. b) Determine the maximum internal torque and the corresponding rotor speed. Sketch the torque versus speed curve for 415 V, 50 Hz operation, using the results of a) and b). c)

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QUESTION 2
A 3-phase, 4-pole, star connected, 415 V, 50 Hz, induction motor has the following T
equivalent circuit parameters:
R1 = 0.4 2, R2= 0.56 2, X, = X2 = 1.05 2, and Xm = 47.92 2
(R. can be ignored)
The total friction, windage, and core losses may be assumed to be constant at 700 W,
independent of load.
a)
Calculate the starting internal torque and the corresponding stator current.
b)
Determine the maximum internal torque and the corresponding rotor speed.
Sketch the torque versus speed curve for 415 V, 50 Hz operation, using the
results of a) and b).
c)
d)
Calculate the output torque and the output power at slip 0.025.
Show that in the limit of negligible stator winding resistance R,, the torque versus
slip expression can be written as
e)
2Tmax
T =
ST max
ST max
where Tmax is the maximum internal torque, and s7max is the slip at the maximum
torque.
Transcribed Image Text:QUESTION 2 A 3-phase, 4-pole, star connected, 415 V, 50 Hz, induction motor has the following T equivalent circuit parameters: R1 = 0.4 2, R2= 0.56 2, X, = X2 = 1.05 2, and Xm = 47.92 2 (R. can be ignored) The total friction, windage, and core losses may be assumed to be constant at 700 W, independent of load. a) Calculate the starting internal torque and the corresponding stator current. b) Determine the maximum internal torque and the corresponding rotor speed. Sketch the torque versus speed curve for 415 V, 50 Hz operation, using the results of a) and b). c) d) Calculate the output torque and the output power at slip 0.025. Show that in the limit of negligible stator winding resistance R,, the torque versus slip expression can be written as e) 2Tmax T = ST max ST max where Tmax is the maximum internal torque, and s7max is the slip at the maximum torque.
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