At full load, the line in Problem 5.14 delivers 900 MW at unity power factor and at \(475 \mathrm{kV}\). Calculate:

(a) the sending-end voltage,

(b) the sending-end current,

(c) the sending-end power factor,

(d) the full-load line losses, 

(e) the percent voltage regulation.

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 \(y=j 4.4 \times 10^{-6} \mathrm{~S} / \mathrm{km}\).