A three-phase 50-Hz lossless transmission line is 300 km long. The series impedance and the shunt admittance per unit length of the line are z =j 0.2 2 /km/ph., y=j 2x10-6 S/km/ph. The line is short-circuited at the receiving end. The sending end voltage is 380 kV line-to-line. a) Find and sketch the voltage along the line as a function of position x measured from the receiving end (i.e. x = 0 at the receiving end). b) Find the reactive power supplied by the source to the line.

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 5.18P
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1. A three-phase 50-Hz lossless transmission line is 300 km long. The series impedance and the shunt admittance
per unit length of the line are
z =j 0.2
2 /km/ph., y=j 2x106 S/km/ph.
The line is short-circuited at the receiving end. The sending end voltage is 380 kV line-to-line.
a) Find and sketch the voltage along the line as a function of position x measured from the receiving end (i.e.
x = 0 at the receiving end).
b)
Find the reactive power supplied by the source to the line.
Transcribed Image Text:1. A three-phase 50-Hz lossless transmission line is 300 km long. The series impedance and the shunt admittance per unit length of the line are z =j 0.2 2 /km/ph., y=j 2x106 S/km/ph. The line is short-circuited at the receiving end. The sending end voltage is 380 kV line-to-line. a) Find and sketch the voltage along the line as a function of position x measured from the receiving end (i.e. x = 0 at the receiving end). b) Find the reactive power supplied by the source to the line.
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