The paper deals with analysis and modelling of a new type of single-phase supplied AC/AC converter with two phase outputs. It consists of one-leg half-bridge matrix converter loaded by the resistive-inductive load in series connection. As harmonic analysis of the voltage of both phases gives very high value of total harmonic distortion (roughly 86 %) the current waveforms should be improved by using of serial L-C filter -which brings much lesser value acceptable for application. The simulation is resulting in a recommendation for the fair and right design of the converter, and demands to single-or two-phase input supply voltage, respectively, under passive R-L or motoric load.