A $150-\mathrm{km}, 230-\mathrm{kV}, 60-\mathrm{Hz}$ Three-Phase Line Has a Positive-Sequence Series Impedance $z=0.08+j 0.48 \Omega / \mathrm{km}$

Essay

A $150-\mathrm{km}, 230-\mathrm{kV}, 60-\mathrm{Hz}$ three-phase line has a positive-sequence series impedance $z=0.08+j 0.48 \Omega / \mathrm{km}$ and a positive-sequence shunt admittance $y=j 3.33 \times 10^{-6} \mathrm{~S} /$ $\mathrm{km}$ . At full load, the line delivers $250 \mathrm{MW}$ at 0.99 p.f. lagging and at $220 \mathrm{kV}$ . Using the nominal $\pi$ circuit, calculate: (a) the $A B C D$ parameters, (b) the sending-end voltage and current, and (c) the percent voltage regulation.