Consider a $3-$phase, lossless TSC$-$TCR compensator unit consisting of three identical TSCs and one TCR unit. The compensator is designed to provide $1p.u.$ of capacitive compensation and $0\mathrm{.}4$ p$.$u$.$ of inductive compensation. Consider the magnitude of susceptance of the step$-$down transformer as $5$ p$.$u$.$ and system voltage as $1$ p$.$u$.$

$($Note: Consider the base reactive power of the SVC as the reactive power at full production of SVC at a nominal voltage of $1$ p$.$u$.).$

What is the rating of each TSC unit.

What is the rating of TCR unit.

If only $2$ TSCs are ON$,$ calculate the SVC susceptance corresponding to maximum production and the compensator current $($Isvc$).$

If only $2$ TSCs are ON and TCR is fully ON$,$ calculate the SVC susceptance and the SVC current.

If only $1$ TSC is ON and TCR is fully ON$,$ Determine the subrange of the SVC susceptance.

Determine the susceptance range corresponding to maximum and minimum inductive compensation. Plot the V$-$I Characteristics for the TSC$-$TCR unit.