a$)$ Describe the conditions which should be satisfied before connecting a synchronous generator to the infinite bus system.

$(30\%)$

$($b$)$ A star connected, wound field synchronous generator is connected to an infinite bus$-$bar system with fixed voltage of $6\mathrm{.}6$kVLL and fixed frequency of $60$Hz$.$ The synchronous generator is rated at $2$MVA and has a phase impedance of $(2+$j$10).$

$($i$)$ Calculate the magnitude of stator phase current at $2$MVA.

$(10\%)$

For the stator phase current magnitude of Part $($b$)($i$)$ and a generating power factor of $0\mathrm{.}8$ lagging, calculate:

$($ii$)$ the phase and line$-$line excitation EMF, and load angle.

$(40\%)$

$($iii$)$ the synchronous machine mechanical input power. Assume the machine loss is determined solely by its stator winding current.