A Three-phase 440-volt motor operates with a power factor of 0.4. Two Wattmeter's are connected to measure the input power, and the total power from the mains is 30KW Find the readings of each Wattmeter Lecture and Refer-1.9 and Discussion]

A Three-phase 440-volt motor operates with a power factor of 0.4. Two Wattmeter's are connected to measure the input power, and the total power from the mains is 30KW Find the readings of each Wattmeter Lecture and Refer-1.9 and Discussion]

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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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

3. A Three-phase 440-volt motor operates with a power factor of 0.4. Two Wattmeter's are
connected to measure the input power, and the total power from the mains is 30K Find
the readings of each Wattmeter
_[Lecture and Refer-1.9 and Discussion]
Hint: Power factor coso=0.4
Total input power =
Therefore W1+W2 30KW-
tano = 13 (W2-W1)/(W1+W2)
30KW
(1)
%3D
W2-W1 =
(2)
Solving equation (1) and (2)
W1=
Watts
W2%3D
--Watts
CFocus

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