The following test data are obtained for a $34,195$ MVA, $15$ kV$,60$ Hz star$-$connected synchro$-$ nous machine. Open$-$circuit test: I;$($A$)150300600750900$ Vit $($kV$)3\mathrm{.}757$S $13\mathrm{.}61515\mathrm{.}8$ Short$-$circuit test: I, $=750$ A$,$ f$,=7000$ A The armature resistance is very small. $\{$a$)$ Draw the open$-$circuit characteristic, the short$-$circuit characteristic, the air gap line, and the modified air gap line. $($b$)$ Determine the unsaturated and saturated values of the synchronous reactance in ohms and also inipu. $($c$)$ Find the field current required if the synchronous machine is to deliver $100$ MVA at rated voltage, at $0\mathrm{.}8$ leading power factor. Find the voltage regulation of the synchronous generator for the load of part $($c$).$ Voltage regulation:$($VR$)$ is defined as follows: VR $=$ Vilioad removed ~ Vilwith toad $100\%$ Vilvith load