Force ripple reduction methods for tubular permanent magnet linear machines

Document Type : Research Article

Authors

1 School of Electrical and Computer Engineering, University of Hormozgan, Bandar-Abbas, Iran.

2 School of Electrical Engineering, Sharif University of Technology, Tehran, Iran.

Abstract

This paper presents some novel force ripple reducing techniques for Tubular Permanent-Magnet Linear Machines (TPMLMs) with the square-shaped cross section. These methods are very straightforward, so their implementation in TPMLMs with the square cross section is easy. An analytical form of machine parameters such as the thrust
force is obtained by solving the analytical field. A modular configuration for Permanent- Magnet (PM) pole is used to reduce teeth cogging force. Furthermore, the manufacturing cost of TPMLMs can be reduced by using modular pole PM. In this method, the width of PMs is calculated by using Fourier analysis and a sensitivity analysis has been conducted
to identify the robustness of this technique. Additional stator side methods are used to decrease the end face cogging force. Moreover, the stator teeth shifting method is proposed to reduce the electromagnetic force ripples. Also, the produced electromagnetic force of the machine is increased by using a delay in the power supply. 3D non-linear finite element analyses and experimental tests are performed to investigate the effectiveness and performance of proposed techniques.

Keywords

Main Subjects


References
1. Esfahanian, H.R., Hasanzadeh, S., Heydari, M., et al. "Design, optimization, and control of a linear tubular machine integrated with levitation and guidance for maglev applications", Scientia Iranica, 30(4), pp. 1330-1341 (2021). https://doi.org/10.24200/sci.2021.57416.5231
2. Zare Chavoshi A. and Ganji, B. "Instantaneous thrust control of linear switched reluctance motors with segmental translator", Scientia Iranica, 27(6), pp. 3140- 3149 (2020). https://doi.org/10.24200/sci.2019.51380.2144
3. Kumar, A. and Supare, C. "Design, analysis and realization of tubular linear induction motor for hammering application", In 2020 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES), IEEE, pp. 1-7 (2020). https://doi.org/10.1109/PEDES49360.2020.9379399
4. Zhang, H., Xu, Z., Jin, L., et al. "Electromagnetic calculation of tubular permanent magnet linear oscillation actuator considering corrected air gap permeance", IEEE Transactions on Magnetics, 59(5), 8000305 (2023). https://doi.org/10.1109/TMAG.2023.3243833 
5. Wang, A. "Winding design and optimization of singlephase permanent magnet tubular linear generator for direct-drive wave power generation", In 2021 13th International Symposium on Linear Drives for Industry Applications (LDIA), IEEE, pp. 1-4 (2021). https://doi.org/10.1109/LDIA49489.2021.9505866
6. Qiu, S., Zhao, W., Zhang, C., et al. "A novel structure of tubular staggered transverse- flux permanentmagnet linear generator for wave energy conversion", IEEE Trans. Energy Convers., 37(1), pp. 24-35 (2021). https://doi.org/10.1109/TEC.2021.3088722
7. Naghavi, F., Sheshaprasad, S., Gardner, M., et al. "Permanent magnet linear generator design for surface riding wave energy converters", in 2021 IEEE Energy Conversion Congress and Exposition (ECCE), IEEE, pp. 4369-4375 (2021). https://doi.org/10.48550/arXiv.2108.08346
8. Taghipour Boroujeni, S., Emami, S.P., Takorabet, N., et al. "Torque ripple minimization in consequentpole PM machines using harmonic current injection", Scientia Iranica, 32(5), pp. 1-12 (2025). https://doi.org/10.24200/sci.2022.60312.6725
9. Li, X., Wang, X., and Yu, S. "Design and analysis of a novel transverse- flux tubular linear switched reluctance machine for minimizing force ripple", IEEE Trans. Transp. Electrif., 7(2), pp. 741-753 (2020). https://doi.org/10.1109/TTE.2020.3033535
10. Mutluer, M. "A new approach to increase the thrust force of tubular linear voice coil motor", IEEE Can. J. Electr. Comput. Eng., 44(4), pp. 509-515 (2021). https://doi.org/10.1109/ICJECE.2021.3094167
11. Khuong, N.D. and Shimono, T. "Modeling and analysis of a magnetic geared linear motor", In 2022 International Power Electronics Conference, IEEE, pp. 260-267 (2022). https://doi.org/10.23919/IPECHimeji2022- ECCE53331.2022.9807249
12. Luo, H.-h., Wu, J., and Chang, W.-S. "Minimizing thrust  fluctuation in moving-magnet permanentmagnet brushless linear DC motors", IEEE Trans. Magn., 43(5), pp. 1968-1972 (2007). https://doi.org/10.1109/TMAG.2007.892081
13. Yoshimura, T., Kim, H., Watada, M., et al. "Analysis of the reduction of detent force in a permanent magnet linear synchronous motor", IEEE Trans. Magn., 31(6),pp. 3728-3730 (1995). https://doi.org/10.1109/20.489752
14. Shabani, M.A., Milimonfared, J., and Taghipour, S. "Cogging force mitigation of tubular per- manent magnet machines with magnet dividing", In 2007 International Conference on Electrical Machines and Systems, IEEE, pp. 810-814 (2007). https://doi.org/10.1109/ICEMS12746.2007.4412196
15. Jung, I.-S., Hur, J., and Hyun, D.-S. "Performance analysis of skewed pm linear synchronous motor according to various design parameters", IEEE Trans. Magn., 37(5), pp. 3653-3657 (2001). https://doi.org/10.1109/20.952683
16. Wang, S., Wang, Y., Liu, C., et al. "Detent force minimization of a tubular  flux-switching permanent magnet motor using un-equal width stator slots based on taguchi method", IEEE Trans. Appl. Supercond., 30(4), 5202505 (2020). https://doi.org/10.1109/TASC.2020.2976068
17. Wang, W., Zhao, J., Song, J., et al. "Thrust performance improvement for PMSLM through doublelayer reverse skewed coil and wrf-mkh method", IEEE/ASME Transactions on Mechatronics, 25(6), pp. 2950-2960 (2020). https://doi.org/10.1109/TMECH.2020.3000265
18. Guo, L., Zhou, Q., Galea, M., et al. "Cogging force optimization of double-sided tubular linear machine with tooth-cutting", IEEE Trans. Ind. Electron., 69(7), pp. 7161-7169 (2021). https://doi.org/10.1109/TIE.2021.3101017
19. Zhao, W., Ma, A., Ji, J., et al. "Multiobjective optimization of a double-side linear vernier pm motor using response surface method and di erential evolution", IEEE Trans. Ind. Electron., 67(1), pp. 80-90 (2019). https://doi.org/10.1109/TIE.2019.2893848
20. Li Z. and Niu, S. "Design of a novel hybrid-excited transverse- flux tubular linear machine with complementary structure", IEEE Trans. Magn., 58(8), 8105506 (2021). https://doi.org/10.1109/TMAG.2021.3139368
21. Liu, C.-T., Hwang, C.-C., Li, P.-L., et al. "Design optimization of a double-sided hybrid excited linear flux switching pm motor with low force ripple", IEEE Trans. Magn., 50(11), 8102704 (Nov. 2014). https://doi.org/10.1109/TMAG.2014.2322630
22. Hwang, C.-C., Li, P.-L., and Liu, C.-T. "Design and analysis of a novel hybrid excited linear flux switching permanent magnet motor", IEEE Trans. Magn., 48(11), pp. 2969-2972 (Nov. 2012). https://doi.org/10.1109/TMAG.2012.2195716
23. Chen, Q., Yan, Y., Xu, G., et al. "Principle of torque ripple reduction in syn- chronous reluctance motors with shifted asymmetrical poles", IEEE Journal of Emerging and Selected Topics in Power Electronics, 8(3), pp. 2611-2622 (2019). https://doi.org/10.1109/JESTPE.2019.2909570
24. Inoue M. and Sato, K. "An approach to a suitable stator length for minimizing the detent force of permanent magnet linear synchronous motors", IEEE Trans. Magn., 36(4), pp. 1890-1893 (2000). https://doi.org/10.1109/20.877814
25. Deng, C., Ye, C., Yang, J., et al. "A novel permanent magnet linear motor for the application of electromagnetic launch system", IEEE Transactions on Applied Superconductivity, 30(4), 4902005 (2020). https://doi.org/10.1109/TASC.2020.2986732
26. Wang, J., Inoue, M., Amara, Y., et al. "Cogging-forcereduction techniques for linear permanent-magnet machines", IEE Proceedings-Electric Power Applications, 152(3), pp. 731-738 (2005). https://doi.org/10.1049/ip-epa:20045254
27. Li, Z., Niu, S., Zhao, X., et al. "Force ripple reduction of a fractional pole pair complementary modularized variable reluctance linear machine for long stroke application", IEEE Transactions on Transportation Electrification, 9(3), pp. 4613-4625 (2023). https://doi.org/10.1109/TTE.2023.3242077
28. Bo , B.H.B., Eckert, P.R., and Amara, Y. "A comprehensive review on the end e ects of linear permanent magnet machines", IEEE Transactions on Industry Applications, 59(2), pp. 1728-1741 (2022). https://doi.org/10.1109/TIA.2022.3230630
29. Boroujeni, S.T., Milimonfared, J., and Ashabani, M. "Design, prototyping, and analysis of a novel tubular permanent-magnet linear machine", IEEE Trans. Magn., 45(12), pp. 5405-5413 (2009). https://doi.org/10.1109/TMAG.2009.2022837
30. Zamani, V., Taghipour Boroujeni, and Takorabet, N. "Optimum arrangement of pms in surface-mounted pm machines: cogging torque and  flux density harmonics", Electrical Engineering, 102(5), pp. 1117-1127 (2020). https://doi.org/10.1007/s00202-020-00925-8
31. Wang, Y., Jin, M., Fei, W., et al. "Cogging torque reduction in permanent magnet  flux- switching machines by rotor teeth axial pairing", IET electric power applications, 4(7), pp. 500-506 (2010). https://doi.org/10.1049/iet-epa.2009.0205
32. Saneie, H., Daniar, A., and Nasiri-Gheidari, Z. "Design optimization of a low speed small scale modular axial flux permanent magnet synchronous generator for urban wind turbine application", Scientia Iranica, 29(6), pp. 3326-3337 (2022). https://doi.org/10.24200/sci.2021.56405.4709
33. Bahari, M. and Nasiri-Gheidari, Z. "The comparative analysis of AC- flux and DC- flux resolvers", Scientia Iranica, 29(4), pp. 2007-2013 (2022). https://doi.org/10.24200/sci.2020.55469.4236
34. Gieras, J., Piech, Z., and Tomczuk, B., Linear Synchronous Motors: Transportation and Au- tomation Systems, Second Edition, ser. Electric Power Engineering Series. CRC Press, (2011).
35. Gieras, J.F., Wang, R.-J., and Kamper, M. J. Axial  flux permanent magnet brushless machines, Springer, 1, (2008).
Volume 32, Issue 10
Transactions on Computer Science & Engineering and Electrical Engineering
May and June 2026 Article ID:7165
  • Receive Date: 06 October 2022
  • Revise Date: 28 February 2023
  • Accept Date: 15 August 2023