The per$-$unit direct$-$ and quadrature$-$synchronous reactances of salient$-$pole synchronous generator are $1\mathrm{.}1$ and $0\mathrm{.}7$ per phase, respectively, and the per$-$unit phase resistance $0\mathrm{.}05.$ The generator is operating under rated conditions and at a $0\mathrm{.}8$ lagging power factor. Use the terminal voltage as reference.

$($a$)($i$)$ Determine the stator current, $I_a.$

$($ii$)$ Determine the power angle.

$($b$)$ Determine the direct component of the current, $I_d.$

$($c$)$ Determine the quadrature component of the current, $I_q.$

$($d$)$ Determine the excitation voltage, $E_f.$

$($e$)($i$)$ Determine the power due to field excitation, $P_f.$

$($ii$)$ Determine the power due to saliency, $P_r.$

$($iii$)$ Determine the power output, $P_{\text{o}\text{u}\text{t}}.$

$($iv$)$ Determine the maximum power due to saliency, $P_{r{m}_{\text{m}\text{a}\text{x}}}.$

$($f$)$ Draw the phasor diagram for generator.

PLEASE ANSWER ALL PARTS