A three -phase, 60-Hz, 500 kV transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and its capacitance is 0.0115 pFAm per phase. Assume a lossless line. a) Determine the line phase constant B, the surge impedance Ze; velocity of propagation o , and the wavelength A. b) The receiving end rated load is 800 MW, 0.8 power factor lagging at 500 kV. Determine the sending end: voltage, current, real power ,reactive power, power factor, and the voltage regulation. Calculate the receiving end voltage when the line is terminated by an open circuit and is energized with 500 kV at the sending end. (d) Determine the Mvar and reactance of a three-phase shunt reactor to be installed at the receiving end to keep the no-load receiving end voltage at the rated value of 500 kV, while the sending end voltage is kept at 500 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 5.31P: A 500-kV, 300-km, 6()-Hz, three-phase overhead transmission line, assumed to be lossless, has a...
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A three -phase, 60-Hz, 500 kV transmission line is 300 km long. The line
inductance is 0.97 mH/km per phase and its capacitance is 0.0115 pFAm
per phase. Assume a lossless line.
a) Determine the line phase constant B, the surge impedance Ze;
velocity of propagation o , and the wavelength A.
b) The receiving end rated load is 800 MW, 0.8 power factor
lagging at 500 kV. Determine the sending end: voltage,
current, real power ,reactive power, power factor, and the
voltage regulation.
Calculate the receiving end voltage when the line is terminated
by an open circuit and is energized with 500 kV at the sending
end.
(d) Determine the Mvar and reactance of a three-phase shunt
reactor to be installed at the receiving end to keep the no-load
receiving end voltage at the rated value of 500 kV, while the
sending end voltage is kept at 500 kV.
Transcribed Image Text:A three -phase, 60-Hz, 500 kV transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and its capacitance is 0.0115 pFAm per phase. Assume a lossless line. a) Determine the line phase constant B, the surge impedance Ze; velocity of propagation o , and the wavelength A. b) The receiving end rated load is 800 MW, 0.8 power factor lagging at 500 kV. Determine the sending end: voltage, current, real power ,reactive power, power factor, and the voltage regulation. Calculate the receiving end voltage when the line is terminated by an open circuit and is energized with 500 kV at the sending end. (d) Determine the Mvar and reactance of a three-phase shunt reactor to be installed at the receiving end to keep the no-load receiving end voltage at the rated value of 500 kV, while the sending end voltage is kept at 500 kV.
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