Novel modulation schemes for conventional and sparse matrix converters facilitating reactive power transfer independent of active power flow

Two novel modulation schemes are proposed which facilitate the transfer of reactive power from the load side to the mains side of a three-phase AC-AC sparse matrix converter (SMC) or a conventional matrix converter. The derivation of the modulation schemes, which rely on a decoupling of the output voltage and the input current formation, is described in detail. Furthermore, the operating limits concerning modulation index and reactive current magnitude are determined. Finally, digital simulations and measurements on a 7.5 kW prototype of a very sparse matrix converter verify all theoretical considerations.