GATE Electrical Engineering (EE) 2016 Shift 2 Solved Paper

A full-bridge converter supplying an RLE load is shown in figure. The firing angle of the bridge converter is 120º. The supply voltage ${\mathit{v}}_{\mathit{m}}\left(\mathit{t}\right)=200\mathit{\pi }\mathit{s}\mathit{i}\mathit{n}\left(100\mathit{\pi }\mathit{t}\right)\mathit{V}$, $\mathit{R}=20\mathit{\Omega },\mathit{E}=800\mathit{V}$. The inductor L is large enough to make the output current ${\mathit{I}}_{\mathit{L}}$ a smooth dc current. Switches are lossless. The real power fed back to the source, in $\mathit{k}\mathit{W}$, is __________.