Abstract：In recent decades, the flux-switching permanent magnet in-wheel (FSPM-IW) motors have earned considerable attention, due to their inherent strengths in large torque density, robust rotor structure, and outstanding heat dissipation conditions. During its design and optimization stage, the large-scale electromagnetic performance calculation mainly relies on the finite element analysis (FEA), which requires unquantifiable time and memory consumption. Under such circumstances, the analytical methods, represented by magnetic network methods, are regarded as practical tools to balance evaluation accuracy and calculation time. However, the existing magnetic network methods only involve reluctance components, which cannot account for the eddy current effect. Therefore, this paper proposes the vector magnetic network (VMN) model based on the magductance principle. Firstly, the topology and structural features of the FSPM-IW motor are introduced. Secondly, the calculation methods of reluctance and magductance parameters are deduced for iron cores based on the vector magnetic circuit theory. Accordingly, the “reluctance-magductance” branches can be formed for the VMN model considering the eddy current effect. The VMN models are established for the stator and the rotor, and the air gap reluctance branches then connect the two parts. The VMN model is built for the FSPM-IW motor. Through the nodal magneto-motive force method, the electromagnetic performance can be acquired by solving the equivalent equations. To improve the calculation accuracy, the nonlinear iteration process is employed in both the calculation of the branch’s reluctance and magductance components. Finally, the FSPM-IW motor is investigated, and the electromagnetic performance is compared using the proposed model, the traditional reluctance-based magnetic network model, and the FEA method. The VMN model’s calculated air gap flux density and phase flux linkage waveforms are in superior consistency with the FEA result. The calculated back electro-motive force (back-EMF) waveform, average torque, and the open circuit loss align with the measured results from the prototype experiment. For the back-EMF, the fundamental amplitudes obtained by the VMN model, FEA method, and prototype experiment are 2.86 V, 2.83 V, and 2.72 V, respectively. Moreover, the average output torques are 12.87 N·m, 12.66 N·m, and 11.92 N·m for the three methods at the rated condition. The following conclusions can be drawn. (1) Compared with the FEA method, the proposed VMN model significantly reduces the computational time-consumption and achieves satisfactory accuracy. (2) Compared with the traditional reluctance-based magnetic network model, the proposed VMN model exhibits higher precision in performance evaluation due to the introduction of magductance components. (3) The proposed VMN model provides a practical and convenient approach to the electromagnetic performance calculation. The result is close to the prototype experiment.
许芷源, 程明, 张淦. 基于磁感原理的磁通切换型永磁轮毂电机矢量磁网络模型[J]. 电工技术学报, 2025, 40(22): 7204-7213.
Xu Zhiyuan, Cheng Ming, Zhang Gan. Modeling of the Vector Magnetic Network for Flux-Switching Permanent Magnet In-Wheel Motor Based on the Magductance Principle. Transactions of China Electrotechnical Society, 2025, 40(22): 7204-7213.
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2025, Vol. 40 
