Design and Optimization of Halbach Permanent Magnet Array with Rectangle Section and Trapezoid Section

Document Type : Original Article

Authors

1 Institute of Automation, Qilu University of Technology (Shandong Academy of Sciences), Shandong Provincial Key Laboratory of Automotive Electronics Technology, Jinan, Shandong, China

2 Rongcheng Rongjia Power Co., LTD, Rongcheng, Shandong, China

Abstract

A novel Halbach permanent magnet array with rectangle section and trapezoid section is proposed and optimized in this paper. The analytical model of the premanent magnet segment is established based on the surface current method, which is numerically efficient and can be utilized to evaluate the magnetic field closely with the premanent magnet segment’s configurations. The analytical model of the Halbach array is acquired based on the superposition principle and coordinate transformation. The fundamental component of the magnetic flux density and the sinusoidal distortion rate are chosen as the optimization object. And the optimization is executed on the Halbach array with one specific set of dimensions by the genetic algorithm in global scale. The effectiveness of the optimization is validated by the finite element analysis. Compared to the traditional Halbach array with rectangle section, the magnetic field created by the optimized proposed Halbach array in this paper owns better performance.

Keywords

References

  1. Halbach K., “Design of permanent multipole magnets with oriented rare earth cobalt materials” Nuclear Instruments and Methods, 169, No. 1, (1980), 1-10. doi.org/10.1016/0029-554X(80)90094-4
  2. Zhang L., Kou B., Xing F., Jin Y., Zhang H., Zhu J., “Magnetically levitated synchronous permanent magnet planar motor with concentric structure winding used for lithography machine” Journal of Applied Physics, 11, No. 7, (2015), 15-25. doi.org/10.1063/1.4917332
  3. Zhu H., Pang C. K., Teo T. J., “Analysis and control of a 6 DOF maglev positioning system with characteristics of end-effects and eddy current damping” Mechatronics, 47, (2017), 183-194. doi.org/10.1016/j.mechatronics.2016.12.004
  4. Song N. R., MaY., Zhang Z.Q., “A numerical study of forces for sandwiched maglev stage”, International Journal of Applied Electromagnetics and Mechanics, Vol. 55, (2017), 89-100. DOI: 10.3233/JAE-160152
  5. Fang, S. H., Xue, S. H., Pan, Z. B., et al. “Torque ripple optimization of a novel cylindrical arc permanent magnet synchronous motor used in a large telescope”, Energies, 12, (2019), 362-377. doi.org/10.3390/en12030362
  6. Li Z. J., Yan J., Luo J. T., “Performance comparison of electromagnetic energy harvesters based on magnet arrays of alternating polarity and configuration”, Energy Conversion and Management, Vol. 179, (2019), 132-140. doi.org/10.1016/j.enconman.2018.10.060
  7. Arish N., Teymoori V., “Development of Linear Vernier Hybrid Permanent Magnet Machine for Wave Energy Converter”, International Journal of Engineering, Transactions B: Applications, Vol. 33, No. 5, (2020), 805-813. DOI: 5829/IJE. 2020.33.05B.12
  8. Arish N., Marignetti F., “Evaluation of Linear Permanent Magnet Vernier Machine Topologies for Wave Energy Converters”, International Journal of Engineering, Transactions B: Applications, Vol. 34, No. 2, (2021), 403-413. DOI: 5829/IJE. 2021.34.02B.12
  9. Uberruck , Blumich B., “Variable magnet arrays to passively shim compact permanent-yoke magnets”, Journal of Magnetic Resonance, Vol. 298, (2019), 77-84. doi.org/10.1016/j.jmr.2018.11.011
  10. Zhang , Cao J. Y., Zhu H. Y., “Design, modeling and experimental verification of circular Halbach electromagnetic energy harvesting from bearing motion”, Energy Conversion and Management, Vol. 180, (2019), 811-821. doi.org/10.1016/j.enconman.2018.11.037
  11. Meribout M., Sonowan S., “Optimal Halbach magnet array design for portable NMR targeting multiphase flow metering applications”, IEEE Transactions on Magnetics, 1, No. 55, (2019). DOI: 10.1109/TMAG.2018.2877603
  12. Zhang Y. Q., Yu M., “Field and thrust analysis of linear servo motor with permanent-magnet of different shapes”, in Proceedings of IEEE ICEM conference, Kuala Lumpur, Malaysia, (2010), 1516-1519.
  13. Zhang Y. Q., Yu M., “Analysis and design of double-sided air core linear servo motor with trapezoidal permanent magnets”, IEEE Transactions on Magnetics, Vol. 47, No. 10, (2011), 3236–3239. DOI: 10.1109/TMAG.2011.2156398
  14. Meessen K. J., Gysen B. , “Halbach permanent magnet shape selection for slotless tubular actuators”, IEEE Transactions on Magnetics, Vol. 44, No. 11, (2008), 4305-4308. DOI: 10.1109/TMAG.2008.2001536
  15. Duan H., Xiao S., Zhang K. L., Jing Y.Z., “A novel 3-D analytical modeling method of trapezoidal shape permanent magnet Halbach array for multi-objective optimization”, Journal of Electrical Engineering & Technology, Vol. 14, (2019), 635-643.
  16. Ren Z. H., Mu W. C., Huang S. Y., “Design and optimization of a ring-pair permanent magnet array for head imaging in a low-field portable MRI system”, IEEE Transactions on Magnetics, 1, No. 55, (2019) 1-8. DOI: 10.1109/TMAG.2018.2876679
  17. Mohammadi, M. Babagoli. “A Hybrid Modified Grasshopper Optimization Algorithm and Genetic Algorithm to Detect and Prevent DDoS Attacks”. International Journal of Engineering, Transactions A: Basics, Vol. 34, No. 4, (2021), 811-824. doi.org/10.5829/ije.2021.34.04a.07
  18. Izadi, F. Ahmadizar, J. Arkat. “A Hybrid Genetic Algorithm for Integrated Production and Distribution Scheduling Problem with Outsourcing Allowed”. International Journal of Engineering, Transactions B: Applications, Vol. 33, No. 11, (2020), 2285-2298. DOI: 10.5829/IJE.2020.33.11B.19
  19. Parvane, E. Rahimi, F. Jafarinejad. “Optimization of Quantum Cellular Automata Circuits by Genetic Algorithm”. International Journal of Engineering, Transactions B: Applications, Vol. 33, No. 2, (2020), 229-236. doi.org/10.5829/ije.2020.33.02b.07
  20. Luo C., Zhang K. L., Zhang W. L., Jing Y. Z., “3D analytical model of permanent magnet and electromagnetic hybrid Halbach array electrodynamic suspension system”, Journal of Electrical Engineering & Technology, 15, (2020), 1713-1721.
  21. Luo C., Zhang K. L., Zhang W. L., Jing Y. Z., “Study of permanent magnet electrodynamic suspension system with a novel Halbach Array”, Journal of Electrical Engineering & Technology, 15, (2020), 969-977.
International Journal of Engineering
Volume 34, Issue 11
TRANSACTIONS B: Applications
November 2021
Pages 2379-2386

Files

Cited by

Share

How to cite

Statistics