A $3-$phase $3-$wire DSTATCOM is employed at a

$415$V$,50$Hz system to provide load balancing & reactive

power compensation for UPF of a single$-$phase $75$kVA,$0\mathrm{.}8$

lagging power factor load across two lines, as shown in Figure.

Calculate $($a$)$ supply line currents, $($b$)$ DSTATCOM currents,

and $($c$)$ its kVA rating.