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

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
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.13P: A single-phase overhead transmission line consists of two solid aluminum conductors having a radius...
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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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