Determine the practical line loadability in MW and in per-unit of SIL for the line in Problem 5.14 if the line length is

(a) \(200 \mathrm{~km}\) or

(b) \(600 \mathrm{~km}\). Assume \(\mathrm{V}_{\mathrm{S}}=1.0\) per unit, \(\mathrm{V}_{\mathrm{R}}=0.95\) per unit, \(\delta_{\max }=35^{\circ}\), and 0.99 leading 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 \(y=j 4.4 \times 10^{-6} \mathrm{~S} / \mathrm{km}\).