Consider the transmission line of Problem 5.18.

(a) Find the \(A B C D\) parameters of the line when uncompensated.

(b) For a series capacitive compensation of \(70 \%(35 \%\) at the sending end and \(35 \%\) at the receiving end), determine the \(A B C D\) parameters. Comment on the relative change in the magnitude of the \(B\) parameter with respect to the relative changes in the magnitudes of the \(A, C\), and \(D\) parameters. Also comment on the maximum power that can be transmitted when series compensated.

Problem 5.18

A \(60-\mathrm{Hz}, 230-\) mile, three-phase overhead transmission line has a series impedance \(z=0.8431 \angle 79.04^{\circ} \Omega / \mathrm{mi}\) and a shunt admittance \(\gamma=5.105 \times\) \(10^{-6} / 90^{\circ} \mathrm{S} / \mathrm{mi}\). The load at the receiving end is \(125 \mathrm{MW}\) at unity power factor and at \(215 \mathrm{kV}\). Determine the voltage, current, and both real and reactive power at the sending end and the percent voltage regulation of the line. Also find the wavelength and velocity of propagation of the line.