A $230-$kV$,$ three$-$phase transmission line has a per phase series impedanceof z $=0\mathrm{.}05+$ j$0\mathrm{.}45$ ohm per km and a per phase shunt admittance of y$=$j$3\mathrm{.}4\backslash$times $10-6$ siemens per km$.$ The line is $80$ km long. Using the nominal pi model, determine$($a$)$ The transmission line ABCD constants.Find the sending end voltage and current, voltage regulation, the sending end power and the transmission efficiency when the line delivers$($b$)200$ MVA, $0\mathrm{.}8$ lagging power factor at $220$ kV$.($C$)306$ MW$,$ unity power factor at $220$ kV$.$