A three-phase, 60-Hz, 500-kV transmission line is 300 km long. The line induc- tance is 0.97 mH/km per phase and its capacitance is 0.0115 µF/km per phase. Assume a lossless line. (a) Determine the line phase constant 3, the surge impedance Zc, velocity of prop- agation v and the line wavelength A. (b) 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.

A three-phase, 60-Hz, 500-kV transmission line is 300 km long. The line induc- tance is 0.97 mH/km per phase and its capacitance is 0.0115 µF/km per phase. Assume a lossless line. (a) Determine the line phase constant 3, the surge impedance Zc, velocity of prop- agation v and the line wavelength A. (b) 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.

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 500kV,300km,60Hz500kV,300km,60Hz, three-phase overhead transmission line, assumed to be lossless, has a series inductance of 0.97mH/km0.97mH/km per phase and a shunt capacitance of 0.0115mF/km0.0115mF/km per phase. Determine the phase constant ββ, the surge impedance ZcZc, velocity of propagation vv, and the wavelength λλ of the line. a. β=0.001259rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=4990kmβ=0.001259rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=4990km b. β=0.001259rad/km,Zc=290.43Ω,v=2.599×105km/s,λ=4990kmβ=0.001259rad/km,Zc=290.43Ω,v=2.599×105km/s,λ=4990km c. β=0.000629rad/km,Zc=290.43Ω,v=1.533×105km/s,λ=4990kmβ=0.000629rad/km,Zc=290.43Ω,v=1.533×105km/s,λ=4990km d. β=0.001049rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=5998km
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