As shown in Figure 13.33, two identical, single-phase, two-wire, lossless lines are connected in parallel at both the sending and receiving ends. Each line has a \(400-\Omega\) characteristic impedance, \(3 \times 10^{8} \mathrm{~m} / \mathrm{s}\) velocity of propagation, and \(100-\mathrm{km}\) line length. The source voltage at the sending end is a \(100-\mathrm{kV}\) step with source impedance \(Z_{G}=100 \Omega\). The receiving end is shorted \(\left(Z_{R}=0ight)\). Both lines are initially unenergized.

(a) Determine the first forward traveling voltage waves that start at time \(t=0\) and travel on each line toward the receiving end.

(b) Determine the sending- and receiving-end voltage reflection coefficients in per-unit,

(c) Draw the Bewley lattice diagram for \(0 \leq t \leq 2.0 \mathrm{~ms}\).

(d) Plot the voltage at the center of one line versus time \(t\) for \(0 \leq t \leq 2.0 \mathrm{~ms}\).

Transcribed Image Text:

Eu.lt F - 100 kV 71. = 100 (2 m Line A X=0 Line B EN SER DINE X = 100 km Z = 0