A permanent magnet synchronous linear motor (PMSLM) is a linear drive mechanism that converts electric energy into mechanical energy. PMLSMs have been deployed widely in modern precision industrial manufacturing. In this study, an air-gap magnetic field model of a rectangular permanent magnet array in a PMSLM is developed based on the Biol-Savart theorem and the molecular circulation model. Furthermore, an analytical expression for the magnetic field distribution of the air-gap space is derived. Ansoft and experimental measurement are used to model the PMSLM and calculate the magnetic induction intensity and validate the analytical model. The relation between the air-gap magnetic field of a PMSLM and the geometrical dimension of the permanent magnet is analyzed.
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