A 50 Hz three-phase transmission line is 300 km long t has a total series impedance of 23 + j 75 Q and a shunt admittance of j500 mS. It delivers 150 MW at 220 kV with a power factor of 0.88 lagging. Find the voltage at the sending end using: (a) short line approximation, (b) medium line (nominal pi) approximation, and (c) long line model.

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 2.26P: A small manufacturing plant is located 2 km down a transmission line, which has a series reactance...
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A 50 Hz three-phase transmission line is 300 km long.
It has a total series impedance of 23 +j 75 Q and a
shunt admittance of j500 mS. It delivers 150 MW at
220kV with a power factor of 0.88 lagging. Find the
voltage at the sending end using: (a) short line
approximation, (b) medium line (nominal pi)
approximation, and (c) long line model.
Transcribed Image Text:A 50 Hz three-phase transmission line is 300 km long. It has a total series impedance of 23 +j 75 Q and a shunt admittance of j500 mS. It delivers 150 MW at 220kV with a power factor of 0.88 lagging. Find the voltage at the sending end using: (a) short line approximation, (b) medium line (nominal pi) approximation, and (c) long line model.
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