Q$1.$

A $100-$MVA, $22-$kV generator with synchronous reactance of $1\mathrm{.}7$ pu supplies power to an infinite bus at rated voltage.

$($a$)$ Find the induced emf and the power angle when the generator is supplying $50$ MW at $0\mathrm{.}85$ pf lag.

$(5$ marks$)$

$($b$)$ If the steam input is kept constant and the excitation is increased by $15\%,$ determine the induced emf, the power angle, the reactive power, and the power factor of the generator.

$(11$ marks$)$

$($c$)$ Is the generator under, normally, or over excited? Why?

$(4$ marks$)$