A three-phase ac/dc converter supplies dc to a battery

Chapter 2, Problem 64

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A three-phase ac/dc converter supplies dc to a battery charging system or dc motor (Graovac, 2001). Each phase has an ac filter represented by the equivalent circuit in Figure P2.38.

                                               

Derive that the inductor current in terms of the two active sources is

\(I_{a c F}(s)=\frac{1+R C s}{L C s^2+R C s+1} I_{a c R}(s)+\frac{C s}{L C s^2+R C s+1} V_a(s)\)

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