Contribution to the mathematical description of the matrix converter power electronic topology

The continuous popularity of the matrix converter control theory has been supported by steady technological improvements. It is still common to use discrete switches in an anti-serial connection, even though some integrated solutions have been presented by various vendors already. Furthermore, recently experimental all-in-one matrix converter power modules based on reverse blocking transistors were introduced. The working principle of the matrix converter has been described by many authors in various ways. Especially, the introduction of the virtual DC link concept was one of the most important milestones in the matrix converter theory. However, the mathematical description is not symmetrical in this case. That is why a new approach presented in this article strives to symmetrize the matrix converter voltage and current transfer functions. For this purpose, new term is defined: DC-space vector.