Permanent Magnet Synchronous Machines (PMSMs) have several advantages, such as high ef¿ciency and\udlow volume and weight, which make them attractive for aerospace applications and high performance\udservo drives.\udMatrix Converters (MCs) are an all-silicon alternative, with no bulky reactive elements, to the standard\udvoltage source inverter.\udThe most common control technique for such PMSM MC-fed drives is the so-called Field-Oriented Control (FOC), which requires the permanent magnet ¿ux position to achieve high dynamic performance.\udEncoders or resolvers are the most common sensing devices used for such a purpose, which not only\udincreases the total cost of the PMSM drive but also adds extra electronics and cabling that may cause failures. This paper investigates and proposes an all range (from zero to full) speed hybrid sensorless FOC.\udThe novelty of this paper relies on the use of a hybrid sensorless four quadrant FOC that averages the\udneeded angle estimation from a model based angle estimator and a voltage pulse test injection angle estimator when feeding the PMSM with an MC instead of a standard voltage source inverter. Speed reversal\udand load impact simulation results are included, fully supporting the claims made in this paper
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