A General Modeling Technique for a Triple Redundant 3 × 3-Phase PMA SynRM

Abstract

A general modeling technique is proposed for a triple redundant 3 × 3-phase permanent-magnet-assisted synchronous reluctance machine (PMA SynRM). The magnetomotive force (MMF) of the machine is divided into three parts, each associated with one three-phase set. The MMF of each three-phase set can be described by four variables: <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">d</i> - and <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">q</i> -axis components of the currents, the rotor angle, and an MMF offset component that captures the mutual coupling between three three-phase sets. Therefore, the complete machine behavior in all operating conditions can be captured by means of 4-D tables, which store the flux linkage and torque information. The 4-D tables are produced by finite-element (FE) analysis for one three-phase set. As a result, the machine behavior can be predicted by interpolating the 4-D tables. The model is capable of representing healthy and fault operations, including unequal current operation in three three-phase sets, and offers great flexibility for performance assessment, postfault control, and fault detection. Its effectiveness is verified by extensive FE simulation and experimental tests in different operation modes.