I need answers for V, Vi and Vii

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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I need answers for V, Vi and Vii
B. The name-plate of a squirrel-cage induction motor has the following information:
Rated power: 50 hp; rated voltage: 400 V; rated frequency: 50 Hz; rated speed: 1480 rpm.
When the machine is run on no-load at rated voltage, it draws a stator current of 13.5 A at a
power factor of 0.16 lagging.
The stator winding resistance is 0.1 , the rotor winding resistance is 0.05 , the stator
leakage inductance is 2 mH and the rotor leakage inductance is 2 mH.
i.
What is the synchronous speed of this machine?
Calculate the no-load losses of the machine.
ii.
iii.
Calculate the magnetizing inductance of this machine.
iv.
Calculate the stator current and its power factor when the machine runs at rated speed.
Neglect the core-loss resistance in your calculation.
V.
vi.
Calculate the rotor current and its power factor when the machine runs at rated speed.
Calculate the developed torque when the machine runs at rated speed.
Calculate the efficiency of the machine when it runs at rated speed.
vii.
Transcribed Image Text:B. The name-plate of a squirrel-cage induction motor has the following information: Rated power: 50 hp; rated voltage: 400 V; rated frequency: 50 Hz; rated speed: 1480 rpm. When the machine is run on no-load at rated voltage, it draws a stator current of 13.5 A at a power factor of 0.16 lagging. The stator winding resistance is 0.1 , the rotor winding resistance is 0.05 , the stator leakage inductance is 2 mH and the rotor leakage inductance is 2 mH. i. What is the synchronous speed of this machine? Calculate the no-load losses of the machine. ii. iii. Calculate the magnetizing inductance of this machine. iv. Calculate the stator current and its power factor when the machine runs at rated speed. Neglect the core-loss resistance in your calculation. V. vi. Calculate the rotor current and its power factor when the machine runs at rated speed. Calculate the developed torque when the machine runs at rated speed. Calculate the efficiency of the machine when it runs at rated speed. vii.
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