A 25 kW, three-phase 400 V (line), 50 Hz induction motor with a 2.5:1 reducing gearbox is used to power an elevator in a high-rise building. The motor will have to pull a full load of 500 kg at a speed of 5 m/s using a pulley of 0.5 m in diameter and a slip ratio of 4.5%. The motor has a full-load efficiency of 91% and a rated power factor of 0.8 lagging. The stator series impedance is (0.08 + j0.90) Q and rotor series impedance (standstill impedance referred to stator) is (0.06 + j0.60) Q. Calculate: (i) the rotor rotational speed (in rpm) and torque (in N·m) of the induction motor under the above conditions and ignoring the losses. (ii) (!!!) the number of pole-pairs this induction motor must have to achieve this rotational speed. the full-load and start-up currents (in amps).
A 25 kW, three-phase 400 V (line), 50 Hz induction motor with a 2.5:1 reducing gearbox is used to power an elevator in a high-rise building. The motor will have to pull a full load of 500 kg at a speed of 5 m/s using a pulley of 0.5 m in diameter and a slip ratio of 4.5%. The motor has a full-load efficiency of 91% and a rated power factor of 0.8 lagging. The stator series impedance is (0.08 + j0.90) Q and rotor series impedance (standstill impedance referred to stator) is (0.06 + j0.60) Q. Calculate: (i) the rotor rotational speed (in rpm) and torque (in N·m) of the induction motor under the above conditions and ignoring the losses. (ii) (!!!) the number of pole-pairs this induction motor must have to achieve this rotational speed. the full-load and start-up currents (in amps).
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.
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning