The line in Problem 5.14 has three ACSR \(1113 \mathrm{kcmil}\) conductors per phase. Calculate the theoretical maximum real power that this line can deliver and compare with the thermal limit of the line. Assume \(V_{S}=V_{R}=\) 1.0 per unit and unity power factor at the receiving end.

Problem 5.14

A \(500-\mathrm{km}, 500-\mathrm{kV}, 60-\mathrm{Hz}\), uncompensated three-phase line has a positivesequence series impedance \(z=0.03+j 0.35 \Omega / \mathrm{km}\) and a positivesequence shunt admittance \(y=j 4.4 \times 10^{-6} \mathrm{~S} / \mathrm{km}\). Calculate:

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

(b) \((\gamma l)\),

(c) the exact \(A B C D\) parameters for this line.