Consider a $3-$phase hydro generator feeding power into the grid bus, which is held at

line voltage of $26$ kV$.$ The internal reactance is $0\mathrm{.}8$ pu for a rated power of $30$ MVA.

a$)$ Choose as base value $!,$#$ $=30$ and $!,\%\%=26$ and calculate the perunit

values for the power and grid voltage.

b$)$ Assume the generator initially runs overexcited with $||=1\mathrm{.}3$ and a real

power output of $=0\mathrm{.}32.$ Compute the reactive power and the apparent

power output of the generator as measured at the grid bus.

c$)$ For the case in $($b$),$ find the power factor.

$2)$