A single wattmeter is used to measure the total active power taken by a 400 V, three-phase induction motor. When the output power of the motor is 15 kW, the efficiency is 88 per cent and the power factor is 0.84 lagging. The current coil of the wattmeter is connected in the yellow line. With the aid of a phasor diagram, calculate the wattmeter indication when the voltage circuit is connected between the yellow line and (a) the red line, (b) the blue line. Show that the sum of the two wattmeter indications gives the total active power taken by the motor. Assume the phase sequence to be R–Y–B. ANS: 11.7 kW, 5.33 kW

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
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Chapter7: Alternating Current, Power Distribution, And Voltage Systems
Section: Chapter Questions
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A single wattmeter is used to measure the total active

power taken by a 400 V, three-phase induction motor.

When the output power of the motor is 15 kW, the

efficiency is 88 per cent and the power factor is 0.84

lagging. The current coil of the wattmeter is connected

in the yellow line. With the aid of a phasor diagram,

calculate the wattmeter indication when the voltage

circuit is connected between the yellow line and (a) the

red line, (b) the blue line. Show that the sum of the two

wattmeter indications gives the total active power taken

by the motor. Assume the phase sequence to be R–Y–B.

ANS: 11.7 kW, 5.33 kW

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