Three non-reactive loads are connected in delta across a three-phase, three-wire, 400 V supply in the following way: (i) 10 kW across R and Y lines; (ii) 6 kW across Y and B lines; (iii) 4 kW across B and R lines. Draw a phasor diagram showing the three line voltages and the load currents and determine: (a) the current in the B line and its phase relationship to the line voltage VBR; (b) the reading of a wattmeter whose current coils are connected in the B line and whose voltage circuit is connected across the B and R lines. The phase rotation is R–Y–B. Where would a second wattmeter be connected for the two-wattmeter method and what would be its reading? ANS:  21.8 A, 36°35′ lagging; 7 kW; 13 kW

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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Three non-reactive loads are connected in delta

across a three-phase, three-wire, 400 V supply in the

following way: (i) 10 kW across R and Y lines; (ii)

6 kW across Y and B lines; (iii) 4 kW across B and R

lines. Draw a phasor diagram showing the three line

voltages and the load currents and determine: (a) the

current in the B line and its phase relationship to the

line voltage VBR; (b) the reading of a wattmeter whose

current coils are connected in the B line and whose

voltage circuit is connected across the B and R lines.

The phase rotation is R–Y–B. Where would a second

wattmeter be connected for the two-wattmeter

method and what would be its reading?

ANS: 

21.8 A, 36°35′ lagging; 7 kW; 13 kW

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