b) A three-phase star-connected (Y) balanced load is supplied by a positive sequence balanced three-phase supply as illustrated in Figure Q4(b). The per-phase load impedance consists of a resistor and an inductor connected in series. The resistance of resistor and the reactance of inductor are 25 92 and 32j 2, respectively. The line- to-line voltage across terminals a and b is 400 V. Ia - ii) iii) iv) v) | Vab | = 400 V (DEO b wwww a 25 92 32j Ω n wwwwm с Figure Q4(b) Calculate the per-phase equivalent load impedance. Calculate the line current of line a (la). baad Sketch the three-phase phasor diagram showing all the line-to-line voltages, line currents and phase voltages. What is the power factor of the load. Calculate the total active power, reactive power and apparent power drawn by the three-phase load.

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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b) A three-phase star-connected (Y) balanced load is supplied by a positive sequence
balanced three-phase supply as illustrated in Figure Q4(b). The per-phase load
impedance consists of a resistor and an inductor connected in series. The resistance
of resistor and the reactance of inductor are 25 92 and 32j 2, respectively. The line-
to-line voltage across terminals a and b is 400 V.
Ia
ii)
iii)
iv)
1006) V)
| Vab | = 400 V
(DEC
b
www
What is the power factor of the load.
Calculate the total active
by the three-phase load.
a
power, reactive
25 Ω
32j Ω
n
Figure Q4(b)
Calculate the per-phase equivalent load impedance.
Calculate the line current of line a (la).
rosariq
wwwmm
Sketch the three-phase phasor diagram showing all the line-to-line voltages,
line currents and phase voltages.
с
power and
apparent power drawn
Transcribed Image Text:b) A three-phase star-connected (Y) balanced load is supplied by a positive sequence balanced three-phase supply as illustrated in Figure Q4(b). The per-phase load impedance consists of a resistor and an inductor connected in series. The resistance of resistor and the reactance of inductor are 25 92 and 32j 2, respectively. The line- to-line voltage across terminals a and b is 400 V. Ia ii) iii) iv) 1006) V) | Vab | = 400 V (DEC b www What is the power factor of the load. Calculate the total active by the three-phase load. a power, reactive 25 Ω 32j Ω n Figure Q4(b) Calculate the per-phase equivalent load impedance. Calculate the line current of line a (la). rosariq wwwmm Sketch the three-phase phasor diagram showing all the line-to-line voltages, line currents and phase voltages. с power and apparent power drawn
vi) If a capacitor bank is installed at the load end which can supply half of the
reactive power requirement of the load, what is the improved power factor of
the system?
Transcribed Image Text:vi) If a capacitor bank is installed at the load end which can supply half of the reactive power requirement of the load, what is the improved power factor of the system?
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