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Mathematical Problems in Engineering
Volume 2016, Article ID 2171547, 14 pages
http://dx.doi.org/10.1155/2016/2171547
Research Article

Comparison of Three Analytical Methods for the Precise Calculation of Cogging Torque and Torque Ripple in Axial Flux PM Machines

Department of EESA, Electrical Energy Laboratory, Ghent University, Technologiepark-Zwijnaarde 913, 9052 Ghent, Belgium

Received 20 June 2016; Revised 14 September 2016; Accepted 28 September 2016

Academic Editor: Dane Quinn

Copyright © 2016 Ahmed Hemeida et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. C. Du-Bar, Design of an axial flux machine for an in-wheel motor application [M.S. thesis], Chalmers Reproservice, Gothenburg, Sweden, 2011.
  2. M. Aydin and M. Gulec, “Reduction of cogging torque in double-rotor axial-flux permanent-magnet disk motors: a review of cost-effective magnet-skewing techniques with experimental verification,” IEEE Transactions on Industrial Electronics, vol. 61, no. 9, pp. 5025–5034, 2014. View at Publisher · View at Google Scholar · View at Scopus
  3. P. Sergeant, H. Vansompel, and L. Dupré, “Influence of stator slot openings on losses and torque in axial flux permanent magnet machines,” Mathematics and Computers in Simulation, vol. 130, pp. 22–31, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  4. M. Aydin, S. Huang, and T. A. Lipo, “Torque quality and comparison of internal and external rotor axial flux surface-magnet disc machines,” IEEE Transactions on Industrial Electronics, vol. 53, no. 3, pp. 822–830, 2006. View at Publisher · View at Google Scholar · View at Scopus
  5. A. Hemeida, M. Taha, A. A. E. Abdallh, H. Vansompel, L. Dupre, and P. Sergeant, “Applicability of fractional slot axial flux permanent magnet synchronous machines in the field weakening region,” IEEE Transactions on Energy Conversion, 2016. View at Publisher · View at Google Scholar
  6. H. Tiegna, A. Bellara, Y. Amara, and G. Barakat, “Analytical modeling of the open-circuit magnetic field in axial flux permanent-magnet machines with semi-closed slots,” IEEE Transactions on Magnetics, vol. 48, no. 3, pp. 1212–1226, 2012. View at Publisher · View at Google Scholar · View at Scopus
  7. H. Tiegna, Y. Amara, and G. Barakat, “A new quasi-3-D analytical model of axial flux permanent magnet machines,” IEEE Transactions on Magnetics, vol. 50, no. 2, pp. 817–820, 2014. View at Publisher · View at Google Scholar · View at Scopus
  8. H. Tiegna, Y. Amara, and G. Barakat, “Study of cogging torque in axial flux permanent magnet machines using an analytical model,” IEEE Transactions on Magnetics, vol. 50, no. 2, pp. 845–848, 2014. View at Publisher · View at Google Scholar · View at Scopus
  9. H. Tiegna, Y. Amara, and G. Barakat, “Overview of analytical models of permanent magnet electrical machines for analysis and design purposes,” Mathematics and Computers in Simulation, vol. 90, pp. 162–177, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. T. F. Chan, L. L. Lai, and S. Xie, “Field computation for an axial flux permanent-magnet synchronous generator,” IEEE Transactions on Energy Conversion, vol. 24, no. 1, pp. 1–11, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. Z. Q. Zhu and D. Howe, “Instantaneous magnetic field distribution in brushless permanent magnet dc motors. Part III: effect of stator slotting,” IEEE Transactions on Magnetics, vol. 29, no. 1, pp. 143–151, 1993. View at Publisher · View at Google Scholar · View at Scopus
  12. D. Žarko, D. Ban, and T. A. Lipo, “Analytical calculation of magnetic field distribution in the slotted air gap of a surface permanent-magnet motor using complex relative air-gap permeance,” IEEE Transactions on Magnetics, vol. 42, no. 7, pp. 1828–1837, 2006. View at Publisher · View at Google Scholar · View at Scopus
  13. A. Hemeida and P. Sergeant, “Analytical modeling of surface PMSM using a combined solution of Maxwell-s equations and magnetic equivalent circuit,” IEEE Transactions on Magnetics, vol. 50, no. 12, article 7027913, 2014. View at Publisher · View at Google Scholar · View at Scopus
  14. T. Lubin, S. Mezani, and A. Rezzoug, “2-D exact analytical model for surface-mounted permanent-magnet motors with semi-closed slots,” IEEE Transactions on Magnetics, vol. 47, no. 2, pp. 479–492, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. B. Hannon, P. Sergeant, and L. Dupre, “2-D Analytical subdomain model of a slotted PMSM with shielding cylinder,” IEEE Transactions on Magnetics, vol. 50, no. 7, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  16. F. Dubas and C. Espanet, “Analytical solution of the magnetic field in permanent-magnet motors taking into account slotting effect: no-load vector potential and flux density calculation,” IEEE Transactions on Magnetics, vol. 45, no. 5, pp. 2097–2109, 2009. View at Publisher · View at Google Scholar · View at Scopus
  17. Z. Q. Zhu, L. J. Wu, and Z. P. Xia, “An accurate subdomain model for magnetic field computation in slotted surface-mounted permanent-magnet machines,” IEEE Transactions on Magnetics, vol. 46, no. 4, pp. 1100–1115, 2010. View at Publisher · View at Google Scholar · View at Scopus
  18. A. Bellara, H. Tiegna, Y. Amara, and G. Barakat, “On load analytical modelling of the magnetic field for axial flux surface-inset permanent magnet machines with semi-closed slots,” in Proceedings of the 20th International Conference on Electrical Machines (ICEM '12), pp. 2852–2858, Marseille, France, September 2012. View at Publisher · View at Google Scholar · View at Scopus
  19. Z. J. Liu and J. T. Li, “Analytical solution of air-gap field in permanent-magnet motors taking into account the effect of pole transition over slots,” IEEE Transactions on Magnetics, vol. 43, no. 10, pp. 3872–3883, 2007. View at Publisher · View at Google Scholar · View at Scopus
  20. B. L. J. Gysen, K. J. Meessen, J. J. H. Paulides, and E. A. Lomonova, “General formulation of the electromagnetic field distribution in machines and devices using fourier analysis,” IEEE Transactions on Magnetics, vol. 46, no. 1, pp. 39–52, 2010. View at Publisher · View at Google Scholar · View at Scopus
  21. S. Ouagued, Y. Amara, and G. Barakat, “Comparison of hybrid analytical modelling and reluctance network modelling for pre-design purposes,” Mathematics and Computers in Simulation, vol. 130, pp. 3–21, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  22. L. J. Wu, Z. Q. Zhu, D. A. Staton, M. Popescu, and D. Hawkins, “Comparison of analytical models of cogging torque in surface-mounted PM machines,” IEEE Transactions on Industrial Electronics, vol. 59, no. 6, pp. 2414–2425, 2012. View at Publisher · View at Google Scholar · View at Scopus
  23. A. Hemeida, P. Sergeant, and H. Vansompel, “Comparison of methods for permanent magnet eddy-current loss computations with and without reaction field considerations in axial flux PMSM,” IEEE Transactions on Magnetics, vol. 51, no. 9, article 8107511, 2015. View at Publisher · View at Google Scholar · View at Scopus
  24. H. Vansompel, P. Sergeant, and L. Dupre, “A multilayer 2-D–2-D coupled model for Eddy current calculation in the rotor of an axial-flux PM machine,” IEEE Transactions on Energy Conversion, vol. 27, no. 3, pp. 784–791, 2012. View at Publisher · View at Google Scholar