VP5-08 High-Order-Harmonic Suppression Design Method with Halbach Magnetic Field Based on Multi-Objective Genetic Algorithm
Creators: Li Yin
Yifan Wang
Rui Sun
Lei Wu
Xiao Xu
Publisher: name: IEEE
Year: 2025

The price of rare earth is rising, which lead to the rare earth crisis and restricted the development of permanent magnet (PM) motors [1]. To solve the problem. domestic and foreign scholars pay attention to the research on consequence pole permanent magnet (CP-PM) motors. But, the application of the consequence poles makes adjacent magnetic poles asymmetric, and inevitably introduces even harmonics, leading to the larger cogging torque and higher torque ripple. In [2], the PMs are designed into the shape of sine, anti-cosine, and other functions to reduce the harmonics of the airgap flux density, which contributes to the suppression of the cogging torque and torque ripple. However, the output torque of the motor is inevitably reduced. For the PM eccentricity technology, the eccentricity distance limited the reduction effect of the cogging torque and torque ripple [3]. In this paper, to improve the utilization rate of PMs and output torque, and reduce the torque ripple, a CPM motor applied the Halbach permanent magnet array, and a highly adaptive Halbach magnetic field optimization method based on the genetic algorithm is proposed. Fig.1(a) shows the conventional and proposed CP-PM motor with the Halbach PM array (HCP-PM) motor., The key parameters of the HPM-PM motor are optimized in Fig. 1(b). The motor performance can achieve convergence under four magnetizing angles and the Pareto front at each angle has been marked. For better presentation, the related performance of SPM motor, CP-PM motor and the optimized HCP-PM motor are analyzed and compared in Fig. 2(a). The flux linkage waveform and corresponding spectrum analysis of the three motors shows that the SPM motor maybe has the lowest torque ripple, which is determined by its own structure. The analysis is confirmed by the output torque in Fig.2(b), where the HCP-PM motor has higher torque ripple and the SPM motor has lower torque output capacity. This proves the correctness of the basic theory and effectiveness of the magnetic field sine method based on genetic algorithm proposed in this paper. More detailed theoretical analysis and experimental results will be given in full paper.References: [1] X. Liu, H. Chen, J. Zhao, and et al, “Research on the Performances and Parameters of Interior PMSM Used for Electric Vehicles,” IEEE Transactions on Industrial Electronics, vol. 61, no.06, pp. 5696-5711(2016). [2] Y. Li, J. Zou, Y, Lu, “Optimum design of magnet shape in permanent-magnet synchronous motors,” IEEE Transactions on Magnetics, vol.39, no.06, pp. 3523-3526(2013). [3] X. Liu, H. Chen, J. Zhao, and et al, “Modeling and analyzing of surface-mounted permanent-magnet synchronous machines with optimized magnetic pole shape,” IEEE Transactions on Magnetics, vol. 50, no.11, pp.1-4(2014).
The price of rare earth is rising, which lead to the rare earth crisis and restricted the development of permanent magnet (PM) motors [1]. To solve the problem. domestic and foreign scholars pay attention to the research on consequence pole permanent magnet (CP-PM) motors. But, the application of the consequence poles makes adjacent magnetic poles asymmetric, and inevitably introduces even harmonics, leading to the larger cogging torque and higher torque ripple. In [2], the PMs are designed into the shape of sine, anti-cosine, and other functions to reduce the harmonics of the airgap flux density, which contributes to the suppression of the cogging torque and torque ripple. However, the output torque of the motor is inevitably reduced. For the PM eccentricity technology, the eccentricity distance limited the reduction effect of the cogging torque and torque ripple [3]. In this paper, to improve the utilization rate of PMs and output torque, and reduce the torque ripple, a CPM motor applied the Halbach permanent magnet array, and a highly adaptive Halbach magnetic field optimization method based on the genetic algorithm is proposed. Fig.1(a) shows the conventional and proposed CP-PM motor with the Halbach PM array (HCP-PM) motor., The key parameters of the HPM-PM motor are optimized in Fig. 1(b). The motor performance can achieve convergence under four magnetizing angles and the Pareto front at each angle has been marked. For better presentation, the related performance of SPM motor, CP-PM motor and the optimized HCP-PM motor are analyzed and compared in Fig. 2(a). The flux linkage waveform and corresponding spectrum analysis of the three motors shows that the SPM motor maybe has the lowest torque ripple, which is determined by its own structure. The analysis is confirmed by the output torque in Fig.2(b), where the HCP-PM motor has higher torque ripple and the SPM motor has lower torque output capacity. This proves the correctness of the basic theory and effectiveness of the magnetic field sine method based on genetic algorithm proposed in this paper. More detailed theoretical analysis and experimental results will be given in full paper.References: [1] X. Liu, H. Chen, J. Zhao, and et al, “Research on the Performances and Parameters of Interior PMSM Used for Electric Vehicles,” IEEE Transactions on Industrial Electronics, vol. 61, no.06, pp. 5696-5711(2016). [2] Y. Li, J. Zou, Y, Lu, “Optimum design of magnet shape in permanent-magnet synchronous motors,” IEEE Transactions on Magnetics, vol.39, no.06, pp. 3523-3526(2013). [3] X. Liu, H. Chen, J. Zhao, and et al, “Modeling and analyzing of surface-mounted permanent-magnet synchronous machines with optimized magnetic pole shape,” IEEE Transactions on Magnetics, vol. 50, no.11, pp.1-4(2014).