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