A three-dimensional model is necessary for the magnetic field analysis of transverse magnetic flux type linear synchronous motors. However, it is unsuitable for design calculation because of the high calculation costs. In order to virtually represent the magnetic path of a three-dimensional arm on a two-dimensional model, we propose the use of virtual arms, which are provided above and below the armature core teeth. In the proposed two-dimensional model, almost the same thrust waveform is obtained with a calculation time of less than 1/30 compared with the three-dimensional analysis. The proposed model is also applicable to transverse magnetic flux and longitudinal magnetic flux hybrid type linear synchronous motors.
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