The article presents new idea of matrix converter modeling suitable for dynamic states. The representation of converter bi-directional switches allows to separate their conduction and blocking states. The application of the additional discrete variable to the area based single periodical matrix control method made it suitable for application for modeling dynamic processes. The equations describing converter using natural coordinates were formed and specific properties of single periodical control method were used to create hybrid description of the matrix converter as multiport element. The implementation of the symmetrical components method to such description allowed to separate the equations describing the converter into an individual equations for each component. The equation for first order component can be represented by relatively simple equivalent circuit characterizing converter during symmetrical conditions of work.

The article presents new idea of matrix converter modeling suitable for dynamic states. The representation of converter bi-directional switches allows to separate their conduction and blocking states. The application of the additional discrete variable to the area based single periodical matrix control method made it suitable for application for modeling dynamic processes. The equations describing converter using natural coordinates were formed and specific properties of single periodical control method were used to create hybrid description of the matrix converter as multiport element. The implementation of the symmetrical components method to such description allowed to separate the equations describing the converter into an individual equations for each component. The equation for first order component can be represented by relatively simple equivalent circuit characterizing converter during symmetrical conditions of work.