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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.

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.

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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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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