Q4. A 3-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 0.0115µF/km per phase. Assume a lossless line. (i) Determine the line phase constant B, the surge impedance Z, velocity of propagation v and the line wavelength A. (ii) The receiving end rated load is 800 MW, 0.8 power factor lagging at 500 kV. Determine the sending end quantities and the voltage regulation. (iii) Calculate the receiving end voltage when line is terminated in an open circuit and is energized with 500 kV 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 5.31P: A 500-kV, 300-km, 6()-Hz, three-phase overhead transmission line, assumed to be lossless, has a...
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Q4. A 3-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 0.0115µF/km per phase. Assume a lossless line.
(i) Determine the line phase constant ß, the surge impedance Z, velocity of propagation v and the
line wavelength .
(ii) The receiving end rated load is 800 MW, 0.8 power factor lagging at 500 kV. Determine the
sending end quantities and the voltage regulation.
(iii) Calculate the receiving end voltage when line is terminated in an open circuit and is energized
with 500 kV at the sending end.
(iv) Determine the reactance and the Mvar of a 3-phase shunt reactor to be installed at the receiving
end to keep the no-load receiving end voltage at the rated value.
(v) Now if the transmission line supplies a load of 1000 MVA, 0.8 power factor lagging at 500 kV,
determine the Mvar and the capacitance of the shunt capacitors to be installed at the receiving end
to keep the receiving end voltage at 500 kV when the line is energized with 500 kV at the sending
end.
Transcribed Image Text:Q4. A 3-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 0.0115µF/km per phase. Assume a lossless line. (i) Determine the line phase constant ß, the surge impedance Z, velocity of propagation v and the line wavelength . (ii) The receiving end rated load is 800 MW, 0.8 power factor lagging at 500 kV. Determine the sending end quantities and the voltage regulation. (iii) Calculate the receiving end voltage when line is terminated in an open circuit and is energized with 500 kV at the sending end. (iv) Determine the reactance and the Mvar of a 3-phase shunt reactor to be installed at the receiving end to keep the no-load receiving end voltage at the rated value. (v) Now if the transmission line supplies a load of 1000 MVA, 0.8 power factor lagging at 500 kV, determine the Mvar and the capacitance of the shunt capacitors to be installed at the receiving end to keep the receiving end voltage at 500 kV when the line is energized with 500 kV at the sending end.
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