Repeat Problem 5.45 for the \(500 \mathrm{kV}\) line given in Problem 5.10.

Problem 5.45

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); 

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

Problem 5.10

The 500-kV, 60-Hz, three-phase line in Problems 4.20 and 4.41 has a \(180-\mathrm{km}\) length and delivers \(1600 \mathrm{MW}\) at \(475 \mathrm{kV}\) and at 0.95 power factor leading to the receiving end at full load. Using the nominal \(\pi\) circuit.