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Advances in Power Electronics
Volume 2014 (2014), Article ID 864203, 7 pages
Research Article

A Dynamic Model for Direct and Indirect Matrix Converters

Electrical Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, P.O. Box 9177948974, Mashhad, Iran

Received 29 September 2013; Revised 1 March 2014; Accepted 20 March 2014; Published 8 April 2014

Academic Editor: Don Mahinda Vilathgamuwa

Copyright © 2014 Mohamad Hosseini Abardeh and Reza Ghazi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The complicated modulation algorithm and the high switching frequency are two main hindrances in the analysis and simulation of matrix converters (MCs) based systems. To simplify the analysis and accelerate the simulation of MCs, a unique dynamic model is presented for the MC, which is independent of MC type (direct or indirect) and the modulation algorithm. All the input and output variables are transferred to the respective reference frames and their relations and limits are calculated. Based on the proposed equations, an equivalent circuit model is presented which can predict all the direct and indirect matrix converters dynamic and steady state behaviors without the need for small simulation time steps. Validity of the proposed model is evaluated using simulation of the precise model. Moreover, experimental results from a laboratory matrix converter setup are provided to verify the accuracy of the simulation results.