Modelling concept of NxM matrix converter under periodic control for dynamic states

This paper presents a concept of an NxM Matrix Converter (MC) modeling under periodic control strategy patented in Poland. This strategy allows to change an Nphase input system of voltages and current with the frequency fi to the M-phase output system with the frequency fo, maintaining both systems symmetrical and providing small distortions of voltage and current waveforms at rather high frequencies. In this paper the control strategy is extended for dynamic states when one of the frequencies is changed. Matrix converter equations have been derived using the constrain matrix, which is determined by the switch states. The equations have the hybrid form of a multi-port circuit. To simplify these equations the symmetrical components of input and output voltages and currents have been applied. As a result, rather simple equations have been found. They can be interpreted to an equivalent scheme. All considerations are illustrated using an exemplary 6H3 matrix converter.