A 750 kW, 3300V, 50 Hz, wound-rotor three-phase induction motor with a star-connected stator winding has a star-connected rotor winding with effective stator/rotor turns ratio of 3.6. The rotor resistance and rotor leakage inductance are 0.0296 2 and 1.7 mH respectively. The stator winding resistance, the stator leakage inductance, and the mutual inductance can be neglected. (a) Calculate the stator current and power factor at a slip of 0.03. (b) Calculate the torque developed at this load. (c) Calculate the stator current and power factor when starting with rated voltage and with the slip-rings short-circuited.

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter32: Three-phase Motors
Section: Chapter Questions
Problem 6RQ: Name three factors that determine the torque produced by an induction motor.
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QUESTION
A 750 kW, 3300V, 50 Hz, wound-rotor three-phase induction motor with a star-connected stator
winding has a star-connected rotor winding with effective stator/rotor turns ratio of 3.6. The
rotor resistance and rotor leakage inductance are 0.0296 and 1.7 mH respectively. The stator
winding resistance, the stator leakage inductance, and the mutual inductance can be neglected.
(a) Calculate the stator current and power factor at a slip of 0.03.
(b) Calculate the torque developed at this load.
(c) Calculate the stator current and power factor when starting with rated voltage and with the
slip-rings short-circuited.
(d) What is the main disadvantage of starting big motor using the method described in part (b)?
(e) Calculate the resistance of a star-connected external resistor bank that should be connected
in the rotor circuit to limit the stator current on starting to 150 A.
(f) By what factor does the addition of the external resistors increase the starting torque?
Transcribed Image Text:QUESTION A 750 kW, 3300V, 50 Hz, wound-rotor three-phase induction motor with a star-connected stator winding has a star-connected rotor winding with effective stator/rotor turns ratio of 3.6. The rotor resistance and rotor leakage inductance are 0.0296 and 1.7 mH respectively. The stator winding resistance, the stator leakage inductance, and the mutual inductance can be neglected. (a) Calculate the stator current and power factor at a slip of 0.03. (b) Calculate the torque developed at this load. (c) Calculate the stator current and power factor when starting with rated voltage and with the slip-rings short-circuited. (d) What is the main disadvantage of starting big motor using the method described in part (b)? (e) Calculate the resistance of a star-connected external resistor bank that should be connected in the rotor circuit to limit the stator current on starting to 150 A. (f) By what factor does the addition of the external resistors increase the starting torque?
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