In the power system of Fig. 1.11, calculate the impedance of the load in per unit (p.u.) for the following specifications. In this problem, \(20 \mathrm{kV}\) (in the generator side) and 3 MVA are chosen as the base voltage and power:

\[
\begin{gathered}
\mathrm{G}: 20 k V, 3 M V A, 3 \% \\
\mathrm{~T}_{1}: 20 / 230 k V, 3 M V A, 5 \% \\
\mathrm{~T}_{2}: 230 / 11 k V, 3 M V A, 5 \% \\
\text { Load }: 11 k V, 0.2 M V A, 0.8 \text { Lagging } \\
\mathrm{M}: 11 k V, 1 M V A, 5 \% \\
\mathrm{C}: 0.5 M V A
\end{gathered}
\]

1) \((12+j 9) p . u\).

2) \((18+j 15) p . u\).

3) \((15+j 12) p\).u.

4) \((12.75+j 7.9) p . u\).

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Trans. Line Load OM