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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 (R, 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). %3D

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 (R, 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). %3D

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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 (R. , 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).
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 (R. , 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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