A load of 138+j460 Ohm is supplied through 3+j14 Ohm line as shown in Figure 1. (a) Find the average power dissipated in the line. (b) Find the value of capacitive reactance connected across the load to compensate the reactive power need of the load. (c) What is the equivalent impedance after compensation. (d) Find the average power dissipated in the line when the capacitive reactance is connected across the load. (e) Express the power loss in (d) as a percentage of the power found in (a)

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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.16P: A single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and...
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A load of 138+j460 Ohm is supplied through 3+j14 Ohm line as shown in Figure 1.
(a) Find the average power dissipated in the line.
(b) Find the value of capacitive reactance connected across the load to compensate
the reactive power need of the load.
(c) What is the equivalent impedance after compensation.
(d) Find the average power dissipated in the line when the capacitive reactance is
connected across the load.
(e) Express the power loss in (d) as a percentage of the power found in (a)
j14
Figure 1
7200/0 +
V (rms)
Source
3
wi
Line
Load
138
j460
Transcribed Image Text:A load of 138+j460 Ohm is supplied through 3+j14 Ohm line as shown in Figure 1. (a) Find the average power dissipated in the line. (b) Find the value of capacitive reactance connected across the load to compensate the reactive power need of the load. (c) What is the equivalent impedance after compensation. (d) Find the average power dissipated in the line when the capacitive reactance is connected across the load. (e) Express the power loss in (d) as a percentage of the power found in (a) j14 Figure 1 7200/0 + V (rms) Source 3 wi Line Load 138 j460
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