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Abstract-Permanent-magnets (PMs) with tangential and parallel magnetization directions are combined in the Halbach PM (HPM) machine, which can offer high performances. However, the existing lumped parameter magnetic circuit (LPMC) model can only calculate one PM magnetization direction, namely either tangential direction or parallel direction. The key of this paper is to propose a method to divide and establish equivalent magnetic motive force (MMF) for HPM machine with both tangential and parallel magnetizations. Then, a LPMC model, using equivalent MMF, is developed to predict the electromagnetic performances for a four-phase HPM machine. In order to verify the effectiveness of the proposed LPMC model, a 6-pole/8-slot 15 kW HPM prototype is built. The comparative results of the proposed LPMC model, two-dimensional (2D) FEM and the experiments verify the effectiveness of the proposed LPMC model.

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