A three-phase power of 460 MW is transmitted to a substation located 500 km from the source of power. With VS=1 per unit, VR=0.9 per unit, λ =5000 km, Zc =500 V, and δ=36.878, determine a nominal voltagen level for the lossless transmission line based on Eq. (5.4.29) of the text. Using this result, find the theoretical three-phase maximum power that can be transferred by the lossless 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 5.3MCQ
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A three-phase power of 460 MW is transmitted to a substation located 500 km from the source of power. With VS=1 per unit, VR=0.9 per unit,
λ =5000 km, Zc =500 V, and δ=36.878, determine a nominal voltagen level for the lossless transmission line based on Eq. (5.4.29) of the text. Using this result, find the theoretical three-phase maximum power that can be transferred by the lossless transmission line.

Expressing Vs and Vg in per-unit of rated line voltage,
Vs
P =
V rated
sin 8
rated
Vrated/
Z.
sin
sin 8
Vspu. VRp.u(SIL)
W
(5.4.29)
sin)
Transcribed Image Text:Expressing Vs and Vg in per-unit of rated line voltage, Vs P = V rated sin 8 rated Vrated/ Z. sin sin 8 Vspu. VRp.u(SIL) W (5.4.29) sin)
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