Increasing worldwide energy demand and well known pollution effects of fossil fuels, make necessary to develop new environmentally friendly energy generation systems such as wind energy. In this research a predictive current control with reactive power reduction is proposed for a six-phase energy generator - multi-modular matrix converter system. The proposal shows a significant harmonic reduction in the generator side and a THD less than 0.6% at the load side, with good current tracking, making it suitable for further grid interconnection.CONACYT – Consejo Nacional de Ciencia y TecnologíaPROCIENCIA