Power System Analysis & Design
6th Edition
ISBN: 9781305636187
Author: Glover, J. Duncan, Overbye, Thomas J. (thomas Jeffrey), Sarma, Mulukutla S.
Publisher: Cengage Learning,
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Chapter 5, Problem 5.31P
A 500-kV, 300-km, 6()-Hz, three-phase overhead transmission line, assumed to be lossless, has a series inductance of 0.97 mH/krn per phase and a shunt capacitance of
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Show that the input impedance of a lossy transmission line of length L connected to a load
impedance of Z is given by
Z₁Cosh(yL) + ZoSinh(yL)
Zin = Zo ZoCosh(YL) + Z₁Sihh(YL)
ex
Where Cosh(x) =
and Sinh(x) =
are the hyperbolic cosine and sine, respectively.
2
2
A sinusoidal source of V = 10 and Z = 50 - j40 is connected to a 60 lossless
transmission line of length 100 m with ẞ = 0.25. What is the Thevenin's equivalent of this
system seen looking into the load end of the transmission line?
2. On a distortionless transmission line, the voltage wave is given by
v(L,t) = 110e0.005L Cos(10³t + 2L) +55e-0.005L Cos(108t-2L)
where L is the length of the transmission line as measured from the load. If Z = 30002, find
a,ẞ, vp, and Zo.
Chapter 5 Solutions
Power System Analysis & Design
Ch. 5 - Representing a transmission line by the two-port...Ch. 5 - The maximum power flow for a lossy line is...Ch. 5 - Prob. 5.21MCQCh. 5 - A 30-km, 34.5-kV, 60-Hz, three-phase line has a...Ch. 5 - A 200-km, 230-kV, 60-Hz, three-phase line has a...Ch. 5 - The 100-km, 230-kV, 60-Hz, three-phase line in...Ch. 5 - The 500-kV, 60-Hz, three-phase line in Problems...Ch. 5 - A 40-km, 220-kV, 60-Hz, three-phase overhead...Ch. 5 - A 500-km, 500-kV, 60-Hz, uncompensated three-phase...Ch. 5 - The 500-kV, 60-Hz, three-phase line in Problems...
Ch. 5 - A 350-km, 500-kV, 60-Hz, three-phase uncompensated...Ch. 5 - Rated line voltage is applied to the sending end...Ch. 5 - A 500-kV, 300-km, 6()-Hz, three-phase overhead...Ch. 5 - The following parameters are based on a...Ch. 5 - Consider a long radial line terminated in its...Ch. 5 - For a lossless open-circuited line, express the...Ch. 5 - A three-phase power of 460 MW is transmitted to a...Ch. 5 - Prob. 5.55PCh. 5 - Consider the transmission line of Problem 5.18....Ch. 5 - Given the uncompensated line of Problem 5.18, let...
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