$[$g Marks$]$

As an operation engineer you were asked to evaluate a $400-km,500-kV,60-Hz$ uncompensated threephase line has a positive$-$sequence series impedance $z=0\mathrm{.}03+j0\mathrm{.}35\frac{}{k}m$ and a positive$-$sequence shunt admittance $y=j4\mathrm{.}4{19}^{-6}\frac{S}{k}m.$ Therefore, find the following:

$L_3\frac{1}{c}$

$($a$)$ The characteristic impedance $(Z_C),$

$($c$)$ the exact ABCD parameters for this line.

$($b$)$ The propagation constant $()$

Then you are asked again to reevaluate the Transmission line design at full load the line as stated above delivering $1000$ MW at unity power factor and at $475$ kV $.$ Determine the following:

$($a$)$ the sending$-$end voltage,

$($d$)$ the full$-$load line losses,

$($b$)$ the sending$-$end current,

$($c$)$ the sending$-$end power factor, regulation.

$($d$)$ the Transmission line efficiency $,$ and $($e$)$ the percent voltage Solve each paragraph clearly