$5\mathrm{.}1$

A $30-$km$,34\mathrm{.}5-$kV$,60-$Hz$,$ three$-$phase line has a positive$-$sequence series impedance

$$

$=$

$0\mathrm{.}19$

$+$

$$

$0\mathrm{.}34$

$$

$$

$/$

km

$.$ The load at the receiving end absorbs $10$ MVA at $33$ kV$.$ Assuming a short line, calculate:

$($a$)$

the ABCD parameters,

$($b$)$

the sending$-$end voltage for a load power factor of $0\mathrm{.}9$ lagging, and

$($c$)$

the sending$-$end voltage for a load power factor of $0\mathrm{.}9$ leading.