A 69 – kV, 3 – phase short transmission line is 16 km long. The line has a per phase series impedance of 1.125 + j0.4375 ohm per km. Shunt capacitors are installed at the receiving end to improve the line performance. The line delivers 70 MVA, 0.80 lagging power factor at 64 kV. Determine the receiving end line real power when the sending end voltage is 69 kV.

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 5.37P
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A 69 – kV, 3 – phase short transmission line is 16 km long. The line has a per phase series impedance of 1.125 + j0.4375 ohm per km. Shunt capacitors are installed at the receiving end to improve the line performance. The line delivers 70 MVA, 0.80 lagging power factor at 64 kV. Determine the receiving end line real power when the sending end voltage is 69 kV.

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