A $230-$kV$,$ three$-$phase transmission line has a per phase series impedance of

z $=0\mathrm{.}05+$j$0\mathrm{.}45$ per km and a per phase shunt admittance of y $=$ j$3\mathrm{.}4$ x $10$

siemens per km$.$ The line is $80$ km long.

a$)$ Should this line be modeled as a short, medium, or long transmission line?

b$)$ The transmission line ABCD constants

c$)$ Calculate the sending end voltage, current, and the sending end power when the line delivers $200$

MVA, $0\mathrm{.}8$ lagging power factor at $220$ kV$.$

d$)$ What is the voltage regula$$on of the transmission line for the condi$$ons in $($c$)?$

e$)$ What is transmission efficiency of the transmission line for the condi$$ons in $($c$)?$