A $12$ kW three$-$phase two$-$level PFC circuit is designed for a nominal input voltage of $415$ V$,50$ Hz$.$

The generated output voltage of $700$ V and the interfacing inductance is $0\mathrm{.}1$ per unit.

$($a$)$ Determine fundamental component of inverter voltage $($Vao$1)$ and modulation index

$($b$)$ Determine the power angle and verify whether the required active power generated is not.

$($c$)$ For unity power factor operation assuming the system to be lossless, perform an open loop

simulation of rectification mode. Determine the THD and list dominant harmonics present in

the grid current spectrum.