Power System Transients, 2nd Edition

38 Power System Transients

reactance theorem. The line is in a resonant condition for θ = (2n − 1)π/2; n:

positive integers, as in Equation 1.103.

PROBLEMS

1.8 Prove α(ω = 0) < α(ω = ∞) in Figure 1.10.

1.9 Obtain the characteristic impedance Z

0

(ω) for ω → 0 in R, L, C, and

G lines.

1.10 Obtain the sending-end current I

s

in R, L, C, and G lines for ω = 0 in

a short-circuited (nite length) line. In a real overhead line, G ≒ 0 in

general. Then, what is the current I

s

?

1.11 Calculate V

r

for E = 1000 · cos(ωt) (V) with f = 50 (Hz), and

Z

0

300==LC

/()

Ω on a lossless line with length l = 300 km by

using (a) F-parameter and (b) π-equivalent circuit ...