$5\mathrm{.}2$

A $200-$km$,230-$kV$,60-$Hz$,$ three$-$phase line has a positive$-$sequence series impedance

$$

$=$

$0\mathrm{.}08$

$+$

$$

$0\mathrm{.}48$

$$

$$

$/$

km

and a positive$-$sequence shunt admittance

$$

$=$

$$

$3\mathrm{.}33$

$$

$10$

$-$

$6$

$$

S

$/$

km

$.$ At full load, the line delivers $250$ MW at $0\mathrm{.}99$ p$.$f$.$ lagging and at $220$ kV$.$ Using the nominal

$$

circuit, calculate:

$($a$)$

the ABCD parameters,

$($b$)$

the sending$-$end voltage and current, and

$($c$)$

the percent voltage regulation.