A \(230-\mathrm{kV}, 100-\mathrm{km}, 60-\mathrm{Hz}\), three-phase overhead transmission line with a rated current of \(900 \mathrm{~A} /\) phase has a series impedance \(z=0.088+j 0.465\) \(\Omega / \mathrm{km}\) and a shunt admittance \(y=j 3.524 \mu \mathrm{S} / \mathrm{km}\).

(a) Obtain the nominal \(\pi\) equivalent circuit in normal units and in per unit on a base of 100 MVA (three phase) and \(230 \mathrm{kV}\) (line-to-line).

(b) Determine the three-phase rated MVA of the line.

(c) Compute the \(A B C D\) parameters.

(d) Calculate the SIL.