A 60-Hz three-phase transmission line is 180 mi long. It has a total series impedance of 40 + j150 2 and a shunt admittance of 900 x 106 290° S. It delivers 45 MW at 220 kV, with 90% power-factor lagging load. Find the voltage at the sending end by (a) the short-line approximation (b) the nominal-π approximation (c) the long-line equation

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
Chapter5: Transmission Lines: Steady-state Operation
Section: Chapter Questions
Problem 5.25P
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A 60-Hz three-phase transmission line is 180 mi long. It has a total series impedance of 40 + j150 and a
shunt admittance of 900 x 10-6290° S. It delivers 45 MW at 220 kV, with 90% power-factor lagging load. Find
the voltage at the sending end by
(a) the short-line approximation
(b) the nominal-π approximation
(c) the long-line equation
Transcribed Image Text:A 60-Hz three-phase transmission line is 180 mi long. It has a total series impedance of 40 + j150 and a shunt admittance of 900 x 10-6290° S. It delivers 45 MW at 220 kV, with 90% power-factor lagging load. Find the voltage at the sending end by (a) the short-line approximation (b) the nominal-π approximation (c) the long-line equation
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