1) A 480V, 60HZ, 6-pole, 3-phase, A-connected IM has the following parameters: R1=0.4612, R2=0.258 N, X1=0.5072, X2=0.3092, Xm=30.742, Ro:ational losses = 2450W. The motor drives a mechanical load at a speed of 1170 rpm. Calculate the following: (a) Synchronous speced in rpm (b) Slip (c) Line Current (d) Input Power (e) Airgap Power (1) Torque Developed (g) Output Power in Hp (h) Efficiency

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter39: Synchronous Motor Operation
Section: Chapter Questions
Problem 14SQ: Induction motors and welding transformers require magnetizing current, which causes a. lagging power...
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1) A 480V, 60HZ, 6-pole, 3-phase, A-connected IM has the following parameters:
R1=0.461Ω , R2=0.258 Ω, X1=0.507Ω, X2-0.309Ω, Xm-30.74Ω, Roational losses =
2450W. The motor drives a mechanical load at a speed of 1170 rpm. Calculate the
following:
(a) Synchronous speed in rpm
(b) Slip
(c) Line Current
(d) Input Power
(e) Airgap Power
(f) Torque Developed
(g) Output Power in Hp
(h) Efficiency
2) Consider a 4 pole. 3-phase, 50HZ induction motor.
a) Find the frequency of the rotor current:
(i)
at standstill condition
(ii)
when the motor is running at 500 rpm in same direction of field
(iii)
when the motor is running at 500 rpm in opposite direction of field
(iv)
when the motor is running at 2000 rpm in same direction of field
b) Analyze the torque speed characteristics
Transcribed Image Text:1) A 480V, 60HZ, 6-pole, 3-phase, A-connected IM has the following parameters: R1=0.461Ω , R2=0.258 Ω, X1=0.507Ω, X2-0.309Ω, Xm-30.74Ω, Roational losses = 2450W. The motor drives a mechanical load at a speed of 1170 rpm. Calculate the following: (a) Synchronous speed in rpm (b) Slip (c) Line Current (d) Input Power (e) Airgap Power (f) Torque Developed (g) Output Power in Hp (h) Efficiency 2) Consider a 4 pole. 3-phase, 50HZ induction motor. a) Find the frequency of the rotor current: (i) at standstill condition (ii) when the motor is running at 500 rpm in same direction of field (iii) when the motor is running at 500 rpm in opposite direction of field (iv) when the motor is running at 2000 rpm in same direction of field b) Analyze the torque speed characteristics
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