A 60 Hz, three-phase transmission line is 100 miles long. It has a total series impedance of {35 + j120) n and a shunt admittance of j930 μsiemen. It delivers 40 MW at 220 kV with 90% lagging power factor. Find the voltage at the sending end by: (a) short line approximation (b) the nominal rr approximation (c) the nominal T approximation Also determine the voltage regulation for the given line and the power loss. Assume the sending end voltage remains constant.

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 5.1P: A 30-km, 34.5-kV, 60-Hz, three-phase line has a positive-sequence series impedance z=0.19+j0.34/km....
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A 60 Hz, three-phase transmission line is 100 miles long. It has a total series
impedance of {35 + j120) n and a shunt admittance of j930 μsiemen. It delivers
40 MW at 220 kV with 90% lagging power factor. Find the voltage at the sending
end by:
(a) short line approximation
(b) the nominal rr approximation
(c) the nominal T approximation
Also determine the voltage regulation for the given line and the power loss.
Assume the sending end voltage remains constant.

 

Expected Answer:

(a) 237.67 kV, 1.4284 MW, 8.03%;

(b) 225.8 kV, 1.1642 MW, 8.67%

(c) 225.10 kV, 1.5095 MW, 8.35%

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