Question $1$

A $50$ Hz generator has $H=5s$ and delivering $1$ pu active power to infinite bus with $P_{\text{m}\text{a}\text{x}}=2pu$ and $k_d=20$ pu $.$ For $0\mathrm{.}1$ pu step change in the input mechanical power find:

$1-$ Synchronizing power coefficient.

$2-$ Damping ratio and damping frequency.

$3-$ The steady state change in the load angle.

$3-$ Maximum overshoot, peak time, and settling time.

$4-$ Sketch $(t).$