power of 90+j70 MVA is drawn from the end of a 220 km three-phase transmission line with a voltage of 380 kV. The following values are given for the line: z = 0.166 + j0.86 Ω/km and y = j6x10^(−6) w/km .Calculate the sending end voltage, sending end current and efficiency for each of the following cases. 1-)Using short transmission line approximation. 2-)Using long transmission line approximation.

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 5.25P
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A power of 90+j70 MVA is drawn from the end of a 220 km three-phase transmission line with a voltage of 380 kV. The following values are given for the line: z = 0.166 + j0.86 Ω/km and y = j6x10^(−6) w/km .Calculate
the sending end voltage, sending end current and efficiency for each of the following cases.

1-)Using short transmission line approximation.

2-)Using long transmission line approximation.

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