volume | PIER Journals

Abstract

The permanent magnet brushed DC motor (PMDCM) features a simple structure and reliable performance, making it widely used in home appliances and automotive applications. To further optimize the output torque quality of the PMDCM, this paper proposes a concave-slot Halbach array magnet ring (CSHAMR) structure. First, a finite element model was established to analyze the electromagnetic characteristics of the motor. By comparing with the traditional Halbach array magnetic ring (THAMR), the superiority of the proposed structure for application in brushed motors was verified. Secondly, by defining the magnitude of the no-load back electromotive force (EMF) generated by a single-sided conductor within the interval ``γ'' , the optimization level of the CSHAMR structure for commutation performance was evaluated. The influence of concave slot parameters on motor commutation performance under different values was analyzed. Finally, a parametric model of the CSHAMR was established, and multi-objective optimization of the motor was performed based on the particle swarm optimization (PSO) algorithm. The results demonstrate that CSHAMR can effectively reduce torque ripple and cogging torque in PMDCM motors while improving motor commutation performance.

1. Zhang, J., J. Wang, and J. Liu, "Modeling and prediction of electromagnetic interference for brushed DC motors," Tongji Univ. (Nat. Sci.), Vol. 50, No. S1, 237-246, 2022.

2. Ilka, Reza, Yousef Alinejad-Beromi, and Hamid Yaghobi, "Cogging torque reduction of permanent magnet synchronous motor using multi-objective optimization," Mathematics and Computers in Simulation, Vol. 153, 83-95, 2018.
doi:10.1016/j.matcom.2018.05.018

3. Shin, Kyung-Hun, Hyung-Il Park, Han-Wook Cho, and Jang-Young Choi, "Analytical calculation and experimental verification of cogging torque and optimal point in permanent magnet synchronous motors," IEEE Transactions on Magnetics, Vol. 53, No. 6, 1-4, 2017.
doi:10.1109/tmag.2017.2667643

4. Halbach, K., "Design of permanent magnet multipole magnets with oriented rare earth cobalt material," Nucl. Instrum. Methods, Vol. 169, No. 1, 1-10, 1980.

5. Zhang, Ying, Qinghua Liu, Yaguo Lei, Junyi Cao, and Wei-Hsin Liao, "Circular Halbach negative stiffness isolating from torsional vibration: Design, modeling and experiments," Mechanical Systems and Signal Processing, Vol. 202, 110711, 2023.
doi:10.1016/j.ymssp.2023.110711

6. Ni, Youyuan, Kang Chen, Benxian Xiao, and Wei Qian, "Analytical modeling of surface-inset machines having harmonics injected into Halbach magnet shape with salient iron," International Journal of Applied Electromagnetics and Mechanics, Vol. 71, No. 3, 287-303, 2023.
doi:10.3233/jae-220027

7. Trang, Haingoc, Alberto Castellazzi, Shinichi Domae, Tenghui Dong, and Taketsune Nakamura, "Light electric vehicle motor-drive design based on hybrid Si/SiC Y-inverter and dual-rotor Halbach machine," Journal of Electrical Engineering & Technology, Vol. 18, No. 1, 367-376, 2023.
doi:10.1007/s42835-022-01255-4

8. Pérez, Ramón, Alexandre Pelletier, Jean-Michel Grenier, Jérôme Cros, David Rancourt, and Richard Freer, "Comparison between space mapping and direct FEA optimizations for the design of Halbach array PM motor," Energies, Vol. 15, No. 11, 3969, 2022.
doi:10.3390/en15113969

9. Cheng, Haojie, Xu Tang, Zhaoxing Ma, et al. "Tooth groove torque weakening of asynchronous starting permanent magnet synchronous motor," Journal of Harbin University of Science and Technology, 1-8.

10. Yang, Zhijian, Yuguo Zhang, Zhaoqian Wu, et al. "Mathematical model and minimization method of speed harmonics caused by PMSM groove torque," Electric Machines and Control, Vol. 27, No. 03, 30-41, 2023.

11. Tymosch, Tobias, Manuel Fischer, Vasken Ketchedjian, Yutaka Terao, and Hiroyuki Ohsaki, "Analysis of superconducting synchronous motors with Halbach array field excitation," IEEE Transactions on Applied Superconductivity, Vol. 31, No. 2, 1-5, 2021.
doi:10.1109/tasc.2020.3041314

12. Shen, Yang and Z. Q. Zhu, "Investigation of permanent magnet brushless machines having unequal-magnet height pole," IEEE Transactions on Magnetics, Vol. 48, No. 12, 4815-4830, Dec. 2012.
doi:10.1109/tmag.2012.2202398

13. Kou, Baoquan, Haichuan Cao, Weili Li, and X Zhang, "Analytical analysis of a novel double layer Halbach permanent magnet array," Transactions of China Electrotechnical Society, Vol. 30, No. 10, 68-76, 2015.

14. Zhang, Lu, Baoquan Kou, Feng Xing, and Binchao Zhao, "Characteristic analysis of an ironless linear synchronous motor with novel halbach magnet array," 2014 17th International Symposium on Electromagnetic Launch Technology, 1-5, La Jolla, CA, USA, Jul. 2014.
doi:10.1109/eml.2014.6920212

15. Zhang, Lu and Baoquan Kou, "Investigation of a novel 2-D Halbach magnet array for magnetically levitated planar motor," 2017 20th International Conference on Electrical Machines and Systems (ICEMS), 1-5, Sydney, NSW, Australia, Aug. 2017.
doi:10.1109/icems.2017.8056502

16. Zhang, Xintong, Chengming Zhang, Jikun Yu, Pengcheng Du, and Liyi Li, "Analytical model of magnetic field of a permanent magnet synchronous motor with a trapezoidal Halbach permanent magnet array," IEEE Transactions on Magnetics, Vol. 55, No. 7, 1-5, Jul. 2019.
doi:10.1109/tmag.2019.2902988

17. Shi, Tingna, Zhaowei Qiao, Changliang Xia, Hongfeng Li, and Zhanfeng Song, "Modeling, analyzing, and parameter design of the magnetic field of a segmented Halbach cylinder," IEEE Transactions on Magnetics, Vol. 48, No. 5, 1890-1898, 2012.
doi:10.1109/tmag.2011.2174372

18. Lv, Pin, Haotian Ma, Xunwen Su, Donghui Xu, Ziyang Liu, and Lulu Liu, "Multi-objective optimization of permanent magnet motor based on Improved Salp Swarm Algorithm and Spearman correlation," International Journal of Applied Electromagnetics and Mechanics, Vol. 75, No. 4, 459-477, 2024.
doi:10.3233/jae-230121

19. Li, L., G. Wang, C. Tan, Z. Sun, H. Xu, and Z. Lu, "Design and optimization of Halbach-eccentric pole permanent magnet synchronous motor," Shandong Univ. Technol. (Nat. Sci. Ed.) , Vol. 37, No. 6, 56-62, 2023.

20. Zhu, Z. Q., Z. P. Xia, K. Atallah, G. W. Jewell, and D. Howe, "Novel permanent magnet machines using Halbach cylinders," Proceedings IPEMC 2000. Third International Power Electronics and Motion Control Conference (IEEE Cat. No.00EX435), Vol. 2, 903-908, Beijing, China, 2000.
doi:10.1109/ipemc.2000.884630

21. Zhu, Z., "A study on improving the performance of pole change of high-speed direct-current motor," Jiangsu Teach. Univ. Technol., Vol. 8, No. 4, 12-14, 2002.

22. Xue, F., Electromagnetic design and torque performance optimization of double V built-in permanent magnet synchronous motor for vehicle, Master's thesis, Shanghai DianJi University, Shanghai, 2023.

Mr. Chengcheng Zeng

Dr. Quanfeng Li