An induction motor draws 45 kW at a 73% power factor from a lo AC line. a) What is the phase angle? b) What is the reactive power? c) What is the apparent power? A/ N A/ d) How many standard 15 kV AR and/or 25 kV AR capacitors are needed to improve the power factor without producing a leading power factor? A 15 kVAR capacitor(s) A 25 kVAR capacitor(s) e) What is the new power factor (round to three decimal spots)?

An induction motor draws 45 kW at a 73% power factor from a lo AC line. a) What is the phase angle? b) What is the reactive power? c) What is the apparent power? A/ N A/ d) How many standard 15 kV AR and/or 25 kV AR capacitors are needed to improve the power factor without producing a leading power factor? A 15 kVAR capacitor(s) A 25 kVAR capacitor(s) e) What is the new power factor (round to three decimal spots)?

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter7: Alternating Current, Power Distribution, And Voltage Systems

Section: Chapter Questions

Problem 7RQ

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Concept explainers

Synchronous Motor

The synchronous motor is an AC electric type motor where at a steady-state the shaft rotation is synchronized with the supply current variable-frequency. To an integral number of AC cycles, the rotation period is exactly equal. The stator of the motor in the synchronous motor contains multi-phase AC electromagnets due to which a magnetic field is created that rotates in time with the oscillation of the line current. The rotor contains a permanent magnet and the rotor rotates in synchronization with the stator field at the same rate and provides the second synchronized magnetic field which is rotating in nature as a result. When the synchronous motor is supplied with independently excited multi-phase AC electromagnets on both the rotor and the stator, it is termed as a doubly-fed machine. The most widely used AC-type motors are the synchronous AC motor and the induction AC motors.

Question

An induction motor draws 45 kW at a 73% power factor from a 16 AC line.
a) What is the phase angle?
b) What is the reactive power?
c) What is the apparent power?
A
E
A/
d) How many standard 15 kVAR and/or 25 kVAR capacitors are needed to
improve the power factor without producing a leading power factor?
A 15 kV AR capacitor(s)
A/25 kVAR capacitor(s)
e) What is the new power factor (round to three decimal spots)?

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