Determine the equivalent \(\pi\) circuit for the line in Problem 5.16. Compare the equivalent \(\pi\) circuit with the nominal \(\pi\) circuit.

Problem 5.16

The \(500-\mathrm{kV}, 60-\mathrm{Hz}\), three-phase line in Problems 4.20 and 4.41 has a 300-km length. Calculate:

(a) \(Z_{c}\),

(b) \((\gamma l)\), 

(c) the exact \(A B C D\) parameters for this line. Assume a \(50^{\circ} \mathrm{C}\) conductor temperature.