A three$-$phase Y$-$connected synchronous generator with wound field is connected to the power system through a $3-$phase transformer and a long transmission line. The generator is rated $50$MVA, $0\mathrm{.}88$pf lagging, $20$kV$,60$Hz$.$ It has X$=80$ and $=15.$ The $3-$phase Y$-$Y transformer is rated $50$MVA, $20$kV$/300$kV with R$=0\mathrm{.}01$pu$,$ m if X$=0\mathrm{.}064$pu$,$ R$=800$pu$,$ Xm$=520$pu$.$ The transmission line has Xline$=3372.$ The voltage at the system end of the transmission line is $300$kV line$-$line and the transformer high voltage side is connected to the transmission line