Abstract
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.
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