A linear analytical model is proposed to solve and optimize the magnetic field of halbach magnet semi-plug-in permanent magnet motor. On the basis of linear superposition, the magnetic field of a permanent magnet motor with a hypothetical linear material and double-layer embedded Halbach magnet is analytically calculated and optimized by using an isomolecular domain model. In addition, induced phase electromotive force and instantaneous electromagnetic torque are derived, which have good performance. The prediction results of linear analysis model agree well with those of finite element analysis.
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