The single-line diagram of a balanced three-phase power system is shown in Fig. 1.19. In this problem \(S_{B}=100 M V A\) and \(V_{B}=22 \mathrm{kV}\) in the first bus. Calculate the impedance seen from the first bus if the following specifications are given:

\[
\begin{gathered}
\mathrm{G}: 22 k V, 90 M V A, X_{G}=18 \% \\
\mathrm{~T}_{1}: 22 / 220 k V, 50 M V A, X_{T 1}=10 \% \\
\mathrm{~T}_{2}: 220 / 11 k V, 40 M W, X_{T 2}=6 \% \\
\mathrm{~T}_{3}: 22 / 110 k V, 40 M W, X_{T 3}=6.4 \% \\
\mathrm{~T}_{4}: 110 / 11 k V, 40 M W, X_{T 4}=8 \% \\
\mathrm{M}: 10.45 k V, 66.5 M V A, X_{M}=18.5 \% \\
\mathrm{TL}_{1}: 220 k V, 48.4 \Omega \\
\mathrm{TL}_{2}: 110 k V, 65.5 \Omega
\end{gathered}
\]

1) \(j 0.14\)

2) \(j 0.2\)

3) \(j 0.22\)

4) \(j 0.4\)

Transcribed Image Text:

TL ele TL ele. 3