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Thus far, matrix converter topology has not reached industrial use. Reasons for this have been complex control schemes, inefficient solutions for overvoltage protection, questionable robustness of the bi-directional switch commutation at disturbed supply voltages, and missing power semiconductor modules. Recent research results concerning these problems have led to innovative solutions and, from a technical point of view, industrial use seems to be reasonable now.
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Simon et al. (2002) studied this question.
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