A three phase, six pole $60$ Hz synchronous generator is rated at $600$ MVA and $22\mathrm{.}5$ kV$/13$ kV wye. The generator synchronous reactance Xs $=1.$ The generator is feeding into a system that has system equivalent reactance Xsys $=0\mathrm{.}15$ and infinite bus voltage of $13\mathrm{.}0$ kV line to neutral. a$.$ The generator internal voltage Ef $=19\mathrm{.}5$ kV line to neutral. Determine Pmax for this operating point. b$.$ The generator is delivering $550$ MW to the infinite bus. Determine the angle of the generator internal voltage. c$.$ Determine the generator terminal voltage Vt$.$ d$.$ Determine the VAR flow at the generator terminal for this operating point. e$.$ The generator power increases to $600$ MW$.$ Determine the new power$-$angle $.$