Q$\mathrm{.}2($b$)$ A $3-$phase star connected $1$ MVA, $11$ KV alternator has rated current of $52\mathrm{.}5$ A$.$ The $\backslash ($ A C $\backslash )$ resistance of the winding per phase is $0\mathrm{.}45$ ohm. The test results are given below:

O$.$C$.$ Test: $12\mathrm{.}5$ A$,$ voltage between lines $\backslash (=430\backslash$mathrm$\{$~V$\}\backslash )$

S$.$C$.$ Test: Field current $\backslash (=12\mathrm{.}5\backslash$mathrm$\{$~A$\}\backslash ),$ Line current $\backslash (=52\mathrm{.}5\backslash$mathrm$\{$~A$\}\backslash )$

Determine the full load voltage regulation of the alternator for $($i$)0\mathrm{.}8$ p$.$f lagging and $($ii$)0\mathrm{.}8$ p$.$f leading loads with synchronous impedance method.