Explain the advantages of three-phase supply for distribution purposes. (b) Assuming the relationship between the line and phase values of currents and voltages, show that the active power input to a three-phase balanced load is √3VI cos φ, where V and I are line quantities. (c) Three similar inductors, each of resistance 10 Ω and inductance 0.019 H, are delta-connected to a three-phase, 400 V, 50 Hz sinusoidal supply. Calcu late: the value of the line current; the power factor and the active power input to the circuit. ANS:  59.5 A, 0.858 lag, 35.5 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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Explain the advantages of three-phase supply for

distribution purposes.

(b) Assuming the relationship between the line and

phase values of currents and voltages, show that

the active power input to a three-phase balanced

load is √3VI cos φ, where V and I are line quantities.

(c) Three similar inductors, each of resistance 10 Ω

and inductance 0.019 H, are delta-connected to a

three-phase, 400 V, 50 Hz sinusoidal supply. Calcu

late: the value of the line current; the power

factor and the active power input to the circuit.

ANS: 

59.5 A, 0.858 lag, 35.5 kW

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