Q$.2[$see example$1]$

A generator is connected to a constant voltage bus through an external reactance of $0\mathrm{.}2$ per unit. The synchronous reactance of the generator is $0\mathrm{.}5$ per unit and the voltage magnitude of the constant voltage bus is $1\mathrm{.}0$ per unit with its angle being $0.$

The generator delivers $1\mathrm{.}2$ per unit power to the constant voltage bus when the angle of its terminal voltage is $30.$ Determine the magnitude and angle of its internal emf.

Q$.3[$see example$2]$

A $50$ Hz $,2-$pole turbo generator is rated $200$MVA,$10kV$ and has an inertia constant $(H)$ of $10.$ Assume that the generator is synchronized with a large power system and has a zero accelerating power while delivering a power of $450$ MW$.$ Suddenly its input power is changed to $475$ MW$.$

Find the speed of the generator in r$.$p$.$m at the end of a period of $10$ cycles. The rotational losses are assumed to be zero.

$q,$