A 4 pole, 50 Hz, 3-phase induction machine is rated at 1480 rpm, and 240 V. A blocked rotor test yields the following measurements: three-phase power 460 W, line current 10.5 A and line to line voltage 58 V. A no-load test yields: 300 W, 6.0 A, 240 V. A DC resistance test yields values of 70 ohms for stator winding resistance (per phase, Y equivalent). Assume the approximate equivalent circuit (Re and Xm branch connected directly across the motor terminal): 1) Calculate the synchronous speed in rpm, the rated slip in percent, and the rated speed in rad/sec. 2) Calculate the series impedance (R₂', X₂') in ohms. 3) Calculate the shunt elements (Re, Xm) in ohms.
A 4 pole, 50 Hz, 3-phase induction machine is rated at 1480 rpm, and 240 V. A blocked rotor test yields the following measurements: three-phase power 460 W, line current 10.5 A and line to line voltage 58 V. A no-load test yields: 300 W, 6.0 A, 240 V. A DC resistance test yields values of 70 ohms for stator winding resistance (per phase, Y equivalent). Assume the approximate equivalent circuit (Re and Xm branch connected directly across the motor terminal): 1) Calculate the synchronous speed in rpm, the rated slip in percent, and the rated speed in rad/sec. 2) Calculate the series impedance (R₂', X₂') in ohms. 3) Calculate the shunt elements (Re, Xm) in ohms.
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![A 4 pole, 50 Hz, 3-phase induction machine is rated at 1480 rpm, and 240 V. A blocked rotor test
yields the following measurements: three-phase power 460 W, line current 10.5 A and line to line
voltage 58 V. A no-load test yields: 300 W, 6.0 A, 240 V. A DC resistance test yields values of 70
ohms for stator winding resistance (per phase, Y equivalent). Assume the approximate equivalent
circuit (Re and Xm branch connected directly across the motor terminal):
1) Calculate the synchronous speed in rpm, the rated slip in percent, and the rated speed in
rad/sec.
2) Calculate the series impedance (R₂', X₂') in ohms.
3) Calculate the shunt elements (Rc, Xm) in ohms.
4) Calculate the equivalent load resistance (R = R₂' [1-s]/s) for a speed of 1480rpm.
5) Predict the output power and torque corresponding to 240 V and 1480 rpm (rated
conditions).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11b0d617-ee91-43d1-96c9-c3d0e08096b4%2F6681bf50-2b52-4268-8368-493a1982a7b3%2Fvprkohd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A 4 pole, 50 Hz, 3-phase induction machine is rated at 1480 rpm, and 240 V. A blocked rotor test
yields the following measurements: three-phase power 460 W, line current 10.5 A and line to line
voltage 58 V. A no-load test yields: 300 W, 6.0 A, 240 V. A DC resistance test yields values of 70
ohms for stator winding resistance (per phase, Y equivalent). Assume the approximate equivalent
circuit (Re and Xm branch connected directly across the motor terminal):
1) Calculate the synchronous speed in rpm, the rated slip in percent, and the rated speed in
rad/sec.
2) Calculate the series impedance (R₂', X₂') in ohms.
3) Calculate the shunt elements (Rc, Xm) in ohms.
4) Calculate the equivalent load resistance (R = R₂' [1-s]/s) for a speed of 1480rpm.
5) Predict the output power and torque corresponding to 240 V and 1480 rpm (rated
conditions).
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