Can you Answer fully with steps!!!!

Figure Q$5($a$)$ shows an open$-$circuit characteristic $($OCC$)$ curve of a $450-$V$,50$Hz$,6-$pole, Delta$-$connected, synchronous generator. The generator's per$-$phase armature resistance and synchronous reactance are $0\mathrm{.}0180$ and $0\mathrm{.}120,$ respectively. At full load, the synchronous generator supplies a current of $900$A at $0\mathrm{.}8$ power factor lagging. Determine:

$($i$)$ The mechanical speed of the generator.

$($ii$)$ The field excitation current required to set the no$-$load terminal voltage

of the generator at $450$ V $.$

$($iii$)$ If the generator is connected to a $3-$phase rated delta$-$connected load

that draws line current of $900$A at $0\mathrm{.}85$ power factor lagging, determine

its internal generated emf, E$\_($a$),$ and the required field excitation, I$\_($f$),$ to

maintain the terminal voltage at $450$V$.($Hint: Compute E$\_($a$)$ and read the

corresponding I$\_($f$)$ from the OCC in Figure Q$5($a$)$

$($iv$)$ Sketch the corresponding phasor diagram, labelled clearly and show the

power angle, delta, and angle for power factor, phi, on the phasor diagram.

$($v$)$ Determine the power being delivered to the rated load by the generator,

and hence the generator efficiency. Assume lumped core, friction and

windage losses of $60$ kW at full load.