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Engineering and Tech / Engineering Circuit Analysis 8 / Chapter 12 / Problem 12.6

Engineering Circuit Analysis | 8th Edition | ISBN: 9780073529578 | Authors: William H. Hayt Professor Emeritus, Jack Kemmerly, Steven M. Durbin

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Three balanced Y-connected loads are installed on a balanced three-phase four-wire

Chapter 12, Problem 12.6

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QUESTION:

Three balanced Y-connected loads are installed on a balanced three-phase four-wire system. Load 1 draws a total power of 6 kW at unity PF, load 2 pulls 10 kVA at PF = 0.96 lagging, and load 3 demands 7 kW at 0.85 lagging. If the phase voltage at the loads is 135 V, if each line has a resistance of \(0.1\ \Omega\), and if the neutral has a resistance of \(1\ \Omega\), find (a) the total power drawn by the loads; (b) the combined PF of the loads; (c) the total power lost in the four lines; (d) the phase voltage at the source; (e) the power factor at which the source is operating.

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QUESTION:

Three balanced Y-connected loads are installed on a balanced three-phase four-wire system. Load 1 draws a total power of 6 kW at unity PF, load 2 pulls 10 kVA at PF = 0.96 lagging, and load 3 demands 7 kW at 0.85 lagging. If the phase voltage at the loads is 135 V, if each line has a resistance of \(0.1\ \Omega\), and if the neutral has a resistance of \(1\ \Omega\), find (a) the total power drawn by the loads; (b) the combined PF of the loads; (c) the total power lost in the four lines; (d) the phase voltage at the source; (e) the power factor at which the source is operating.

ANSWER:

Step 1 of 8

According to the given data, the balanced three phase four wire systems is as follows.

Given that,

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