A 3-ph, 60 Hz, 200 km long, 220 kV transmission line has per km per phase constants of resistance 0.033 Ω, inductive reactance 0.33 Ω, capacitive susceptance 3.3x10 -6 mho. The load at the receiving end of the line is 500 MW at 0.95 power factor leading and voltage has dropped to 209 kV. Using the PI model, calculate the voltage, current and power factor at the sending end.

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 5.18P
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A 3-ph, 60 Hz, 200 km long, 220 kV transmission line has per km per phase constants of resistance 0.033 Ω, inductive reactance 0.33 Ω, capacitive susceptance 3.3x10 -6 mho. The load at the receiving end of the line is 500 MW at 0.95 power factor leading and voltage has dropped to 209 kV. Using the PI model, calculate the voltage, current and power factor at the sending end.

 

 

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