Show with the aid of a phasor diagram that for both star- and delta-connected balanced loads, the total active power is given by √3VI cos φ, where V and I are the line values of voltage and current respectively and φ is the angle between phase values of voltage and current. A balanced three-phase load consists of three coils, each of resistance 4 Ω and inductance 0.02 H. Determine the total active power when the coils are (a) star-connected, (b) delta-connected to a 400 V, three phase, 50 Hz supply.  ANS:11.56 kW, 34.7 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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Show with the aid of a phasor diagram that for both

star- and delta-connected balanced loads, the total active

power is given by √3VI cos φ, where V and I are the

line values of voltage and current respectively and φ is

the angle between phase values of voltage and current.

A balanced three-phase load consists of three

coils, each of resistance 4 Ω and inductance 0.02 H.

Determine the total active power when the coils are (a)

star-connected, (b) delta-connected to a 400 V, three

phase, 50 Hz supply. 

ANS:11.56 kW, 34.7 kW

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