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.

Problem 4.20

Calculate the inductive reactance in \(\Omega / \mathrm{km}\) of a bundled \(500-\mathrm{kV}, 60-\mathrm{Hz}\), three-phase completely transposed overhead line having three ACSR \(1113 \mathrm{kcmil}\) conductors per bundle, with \(0.5 \mathrm{~m}\) between conductors in the bundle. The horizontal phase spacings between bundle centers are 10, 10, and \(20 \mathrm{~m}\).

Problem 4.41

Calculate the capacitance-to-neutral in \(\mathrm{F} / \mathrm{m}\) and the admittance-to-neutral in \(\mathrm{S} / \mathrm{km}\) for the line in Problem 4.20. Also calculate the total reactive power in Mvar/km supplied by the line capacitance when it is operated at \(500 \mathrm{kV}\). Neglect the effect of the earth plane.