Why not? Sic MOSFET provides high switching frequency, high voltage operation, and great thermal properties. Here are a few articles related to SiC-based H5 inverters. I hope this will help you.
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Yes but MOSFETs are limited applications such as body diode conduction based on inverter operation i.e. unity power factor and non-unity power factor and more articles have been published recently for your reference kindly check my article it may be useful for your future studies.