Utilize the Equivalent Magnetic Circuit and Magnet Coverage to Figure out the Magnetic Field of the Air Gap and Stator Tooth of an Axial Flux Permanent Magnet Generator

Thanh Vu Nguyen, Tan Viet Nguyen, Tuan Anh Phung

Abstract


Currently, there is a growing interest among scientists worldwide in the field of low-speed direct drives, namely in axial flux permanent magnet (AFPM) machines. In this paper use an magnetic equivalent circuit (MEC) method is used, which suggests taking into account the nonlinear properties of steel by using the characteristics (? = f(F)) that are unique to each steel section and the leakage flux components that are close to the air gap region. After that, the methods and equations are developed for figuring out nonlinear magnetic circuits using the Piecewise Cubic Spline (PCS) interpolation method. In order to enhance the precision of the outcomes obtained from the equivalent model, incorporating novel content is suggested into the examination of magnet coverage using Fourier series analysis. The precision of the analytical results is compared with the outcomes derived by the finite element analysis (FEA) method.

Keywords


Axial flux permanent magnet, AFPMG, MEC, magnet coverage, nonlinear magnetic circuit

Full Text:

PDF

References


F. Garvan, The Maple Book, Chapman & Hall/CRC, 2002. (Book)

E. Kreyszig, H. Kreyszig, E. J. Norminton, Advanced Engineering Mathematics, JOHN WILEY & SONS, INC, 10th edition, 2011. (Book)

K. Wirtayasa, C. Hsiao, “Performances comparison of axial-flux permanent magnet generators for small-scale vertical-axis,” Alexandria Engineering Journal, p. 61, 3 July 2021, doi: https://doi.org/10.1016/j.aej.2021.06.074. (Article)

S. Kim, J. Li, D. Choi, Y. Cho, “Design and analysis of axial flux permanent magnet generator for direct-driven wind turbines,” International Journal of Power Systems, vol. 2, 2017. (Article)

Y. K Huang, B. Y. Ge, J. N. Dong, H. Y. Lin, J. G. Zhu, and Y. G. Guo, “3-D analytical modeling of no-Load magnetic field of ironless axial flux permanent magnet machine,” IEEE Transactions on Magnetics, vol. 48, No. 11, pp. 2929-2932, November 2012, doi: 10.1109/TMAG.2012.2194699. (Article)

S. T. Boroujeni, A. A. Mohammadi, A. Oraee, and H. Oraee, “Approach for analytical modelling of axial-flux PM machines,” IET Electric Power Applications, vol. 10, No. 6, pp. 441-450, 01 July 2016, doi: https://doi.org/10.1049/iet-epa.2015.0645. (Article)

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, 26 February 2014, doi: 10.1109/TMAG.2013.2285739. (Article)

T. F. Chan; L. L. Lai; S. Xie, “field computation for an axial flux permanent-magnet synchronous generator,” IEEE Transactions on Energy Conversion, vol. 24, No. 1, 06 February 2009, doi: 10.1109/TEC.2008.2011830. (Article)

Y. K. Huang, T. Zhou, J. N. Dong, H. Y. Lin, H. Yang, and M. Cheng, “Magnetic equivalent circuit modeling of yokeless axial flux permanent magnet machine with segmented armature,” IEEE Transactions on Magnetics, vol. 50, No. 11, pp. 1-4, November 2014, doi: 10.1109/TMAG.2014.2322874. (Article)

Y. Kano, T. Kosaka, and N. Matsui, “A simple nonlinear magnetic analysis for axial-flux permanent-magnet machines,” IEEE Transactions on Industrial Electronics, vol. 57, No. 6, pp. 2124–2133, 20 October 2009, doi: 10.1109/TIE.2009.2034685. (Article)

W. Tong, S. Wang, S. Wu and R. Tang, “A complete quasi-3-D analytical model of no-load magnetic field of double-sided slotted AFPMMs considering end effect,” IEEE Access, vol. 6, pp. 59557 - 59566, 10 October 2018, doi: 10.1109/ACCESS.2018.2875306. (Article).

K. D. Lee, J. Lee, and H. W. Lee, “Inductance calculation of flux concentrating permanent magnet motor through nonlinear magnetic equivalent circuit,” IEEE Transactions on Magnetics, vol. 51, No. 11, pp. 1-4, 01 June 2015, doi: 10.1109/TMAG.2015.2438000. (Article).

O. Taqavi, N. Taghavi, “Development of a mixed solution of maxwell’s equations and magnetic equivalent circuit for double-sided axial-flux permanent magnet machines,” IEEE Transactions on Magnetics, vol. 57, No. 4, 19 February 2021, doi: 10.1109/TMAG.2021.3060538. (Article)

R. Alipour-Sarabi, Z. Nasiri-Gheidari, H. Oraee, “Development of a 3-D magnetic equivalent circuit model for axial flux machines,” IEEE Transactions on Industrial Electronics, vol. 67, No. 7, 15 August 2019, doi: 10.1109/TIE.2019.2934065. (Article)

B. Tak, J. Ro, “Analysis and design of an axial flux permanent magnet motor for in-wheel system using a novel analytical method combined with a numerical method,” IEEE Access, vol. 8, pp. 203994 - 204011, 09 November 2020, doi: 10.1109/ACCESS.2020.3036666. (Article)

E. Cetin, F. Daldaban, “Analyzing distinctive rotor poles of the axial flux PM motors by using 3D-FEA in view of the magnetic equivalent circuit,” Engineering Science and Technology, an International Journal, pp. 1421-1429, 1 December 2017, doi: https://doi.org/10.1016/j.jestch.2017.11.008. (Article)

W. Tong, S. Wang, S. Dai, S. Wu, R. Tang, “A quasi 3-D magnetic equivalent circuit model of a double-sided axial flux permanent magnet machine considering local saturation,” IEEE Transactions on Energy Conversion, vol. 33, No. 4, pp. 2163–2173, 05 July 2018, doi: 10.1109/TEC.2018.2853265. (Article)

A. Daghigh, H. Javadi, A. Javadi, “Improved analytical modeling of permanent magnet leakage flux in design of the coreless axial flux permanent magnet generator,” Canadian Journal of Electrical and Computer Engineering, vol. 40, No. 1, 19 May 2017, doi: 10.1109/CJECE.2016.2550667. (Article)

A. Hemeida, A. Lehikoinen, P. Rasilo, H. Vansompel, A. Belahcen, A. Arkkio, P. Sergeant, “A simple and efficient quasi-3D magnetic equivalent circuit for surface axial flux permanent magnet synchronous machines,” IEEE Transactions on Industrial Electronics, vol. 66, No. 11, pp. 8318-8333, 09 December 2018, doi: 10.1109/TIE.2018.2884212. (Article)

W. Jara, J. A. Tapia, N. Bianchi, J. Pyrhönen, R. Wallace, “Procedure for fast electromagnetic design of axial flux permanent magnet machines,” International Conference on Electrical Machines ICEM, 02-05 September 2014, doi: 10.1109/ICELMACH.2014.6960364. (Conference Paper)

Y.Kano, K.Tonogi, T.Kosaka, N.Matsui, “Torque-maximizing design of double-stator, axial-flux, pm machines using simple non-linear magnetic analysis,” IEEE Industry Applications Annual Meeting, 23-27 September 2007, doi: 10.1109/07IAS.2007.137. (Conference Paper)

A. Parviainen, “Design Of Axial Flux Permanent-Magnet Low Speed Machines And Performance Comparison Between Radial Flux And Axial Flux Machines”, Thesis for the degree of Doctor of Science, Lappeenranta University of Technology, 2005.




DOI (PDF): https://doi.org/10.20508/ijrer.v15i2.14782.g9058

Refbacks

  • There are currently no refbacks.


Online ISSN: 1309-0127

Publisher: Gazi University

IJRER is indexed in EI Compendex, SCOPUS, EBSCO, WEB of SCIENCE (Clarivate Analytics)and CrossRef.

IJRER has been indexed in Emerging Sources Citation Index from 2016 in web of science.

WEB of SCIENCE in 2025; 

h=35,

Average citation per item=6.59

Last three Years Impact Factor=(1947+1753+1586)/(146+201+78)=5286/425=12.43

Category Quartile:Q4