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《中国电工技术学会电机与系统学报（英文）》（CES TEMS）是中国电工技术学会和中国科学院电工研究所共同主办、IEEE PELS学会技术支持的英文学术期刊。期刊发表国内外有关高性能电机系统、电机驱动、电力电子、可再生能源系统、电气化交通等研发及应用领域中原创、前沿学术论文。中国工程院院士马伟明担任主编，IEEE执委Don Tan博士担任国际主编。
AbstractAxial-flux permanent magnet synchronous machine (AFPMSM) enjoys the merits of high torque density and high efficiency, which make it one good candidate in the direct-drive application. The AFPMSM is usually analyzed based on the three-dimensional finite element method (3D FEM) due to its three-dimensional magnetic field distribution.However, the 3D FEM suffers large amount of calculation, time-consuming and is not suitable for the optimization of AFPMSM. Addressing this issue, a multi-layer quasi three-dimensional equivalent model of the AFPMSM is investigated in this paper, which could take the end leakage into consideration.Firstly, the multi-layer quasi three-dimensional equivalent model of the AFPMSM with single stator and single rotor is derived in details, including the equivalent processes and conversions of structure dimensions, motion conditions and electromagnetic parameters. Then, to consider the influence of end leakage on the performance, a correction factor is introduced in the multi-layer quasi three-dimensional equivalent model.Finally, the proposed multi-layer quasi three-dimensional equivalent model is verified by the 3D FEM based on an AFPMSM under different structure parameters. It demonstrates that the errors of flux linkage and average torque obtained by the multi-layer quasi three-dimensional equivalent model and 3D FEM are only around 2% although the structure parameters of the AFPMSM are varied. Besides, the computation time of one case based on the multi-layer quasi three-dimensional equivalent model is only 6 min, which is much less than that of the 3D FEM, 1.8 h, under the same conditions.Thus, the proposed multi-layer quasi three-dimensional equivalent model could be used to optimize the AFPMSM and much time could be saved by this method compared with the 3D FEM.
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