$7$

Numeric

$1$ point

A short three$-$phase transmission line with the following specifications $200$ kV$,100$ MVA, $60$ Hz $,$ is $100$ km long. The characteristic parameters of the transmission line are: resistance $=0\mathrm{.}06\frac{}{k}m,$ reactance $=0\mathrm{.}9\frac{}{k}m.$ Find the magnitude of the sending end voltage $($phase value in kV $)$ if the line supplies rated apparent power at $0\mathrm{.}75$ PF leading. The voltage at the receiving end of the transmission line is $190$ kV $.$