A three-phase, 50 Hz transmission line, 100 km long delivers 25 MW at 132 kV and a 0.85 p.f. lagging. The resistance and reactance of the lines per phase per kilometer are 0.3 Ω and 0.5 Ω respectively, while capacitive admittance is 2.5 × 10-6 mho/km/ph. Calculate: i. Sending end voltage. ii. Current through 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
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.13P: A single-phase overhead transmission line consists of two solid aluminum conductors having a radius...
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A three-phase, 50 Hz transmission line, 100 km long delivers 25 MW at 132 kV and a 0.85 p.f. lagging. The resistance and reactance of the lines per phase per kilometer are 0.3 Ω and 0.5 Ω respectively, while capacitive admittance is 2.5 × 10-6 mho/km/ph. Calculate:

i. Sending end voltage.

ii. Current through the line.

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