A three-phase transmission line is 160 km long and supplies a load of 12 MW at 0.85 power factor lagging at 80 kV, 50 Hz. Each conductor has a resistance of 0.275 Ω / km, an inductive reactance of 0.5625 Ω / km and a capacitance to neutral of 0.008625 µF / km. Calculate the line- to-line sending end voltage and the sending end current, using: i. The nominal T method. ii. The nominal Π method. If the sending end voltage remains constant, estimate the approximate rise in voltage at the receiving end when the load is switched off. Hence calculate the per unit voltage regulation of the transmission 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 5.11P: A 40-km, 220-kV, 60-Hz, three-phase overhead transmission line has a per-phase resistance of...
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A three-phase transmission line is 160 km long and supplies a load of 12 MW at 0.85 power
factor lagging at 80 kV, 50 Hz. Each conductor has a resistance of 0.275 Ω / km, an inductive
reactance of 0.5625 Ω / km and a capacitance to neutral of 0.008625 µF / km. Calculate the line-
to-line sending end voltage and the sending end current, using:

i. The nominal T method.
ii. The nominal Π method.

If the sending end voltage remains constant, estimate the approximate rise in voltage at the
receiving end when the load is switched off. Hence calculate the per unit voltage regulation of
the transmission line.

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