A $10$ MVA, $6\mathrm{.}6$ KV $3-$phase star connected synchronous generator has Z$1=$j$0\mathrm{.}4$pu$,$ Z$2=$j$0\mathrm{.}1$pu and Zgo$=$j$0\mathrm{.}05$pu$.$Analyze the effect of neutral status on sequence voltages$/$currents$,$ fault current and line to neutral voltages $($Va$,$ Vb$,$ Vc$)$ following a direct Double Line to Ground Fault at the generator terminals. Consider the following conditions and comment on the results:

$($i$)$Neutral isolated

$($ii$)$ Neutral grounded through j$0\mathrm{.}05$ pu impedance.

$$Assume no$-$load conditions and Ea$=1+$j$0$ pu prior to the fault.