For the line in Problems 5.14 and 5.38, determine

(a) the practical line loadability in \(\mathrm{MW}\), assuming \(\mathrm{V}_{\mathrm{S}}=1.0\) per unit, \(\mathrm{V}_{\mathrm{R}} \approx 0.95\) per unit, and \(\delta_{\max }=35^{\circ}\); part

(b) the full-load current at 0.99 p.f. leading, based on the above practical line loadability;

(c) the exact receiving-end voltage for the full-load current in part (b); and

(d) the percent voltage regulation. For this line, is loadability determined by the thermal limit, the voltage-drop limit, or steady-state stability?

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:

Problem 5.38

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.