Analytical Modelling of Rotor Magnetic Characteristics in an Interior Permanent Magnet Rotor

Chapter
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Abstract

This chapter proposes a technique for analytical modelling of the non-homogenous magnetic saturation in the IPM rotor iron, based on which an analytical model for calculation of the PM flux density is proposed. The principles of the magnetic equivalent circuit in electric machines are first explained. The flux paths in a V-shaped IPM rotor due to the magnet residual flux are then classified into five groups. Accordingly, geometrical relationships in the IPM rotor are derived and used in analytical modelling of the non-homogenous magnetic saturation in the rotor iron. The B-H curve of the rotor core material is taken into account in the proposed approach. The proposed model provides information regarding the flux density and relative permeability of the iron in different regions of the rotor. In the next step, the state of the art analytical model for the PM flux density in the airgap is briefed, for which, a novel model is then proposed that is based on the novel magnetic saturation map that was derived earlier in this chapter. A case-study was then investigated to evaluate the proposed techniques using FEA and experimental results from the prototype machine.

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References

  1. 1.
    A.J. Baden Fuller, Engineering Field Theory (Pergamon Press, 1973)Google Scholar
  2. 2.
    E.R. Laithwaite, Magnetic equivalent circuits for electrical machines, in Proceedings of the Institution of Electrical Engineers, vol. 114 (1967), pp. 1805–1809Google Scholar
  3. 3.
    N. Mohan, T.M. Undeland, Power Electronics: Converters, Applications, and Design (Wiley, 2007)Google Scholar
  4. 4.
    User guide Flux® 11.2—Physical Description, Solving & Postprocessing, vol. 2 (CEDRAT, 2013)Google Scholar
  5. 5.
    M. Farshadnia, R. Dutta, J.E. Fletcher, K. Ahsanullah, M.F. Rahman, H.C. Lovatt, Analysis of MMF and back-EMF waveforms for fractional-slot concentrated-wound permanent magnet machines, in Proceedings of the ICEM (2014), pp. 1976–1982Google Scholar
  6. 6.
    K. Ahsanullah, R. Dutta, M.F. Rahman, Investigation of flat and V-shaped magnets in interior permanent magnet machine for direct drive wind turbine application, in 2013 IEEE ECCE Asia Downunder (ECCE Asia) (2013), pp. 208–213Google Scholar
  7. 7.
    A.B. Proca, A. Keyhani, A. El-Antably, L. Wenzhe, D. Min, Analytical model for permanent magnet motors with surface mounted magnets. IEEE Trans. Energy Convers. 18, 386–391 (2003)CrossRefGoogle Scholar
  8. 8.
    D. Zarko, D. Ban, 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 Trans. Magn. 42, 1828–1837 (2006)CrossRefGoogle Scholar
  9. 9.
    A. Rahideh, M. Mardaneh, T. Korakianitis, Analytical 2-D calculations of torque, inductance, and back-EMF for brushless slotless machines with surface inset magnets. IEEE Trans. Magn. 49, 4873–4884 (2013)CrossRefGoogle Scholar
  10. 10.
    A. Rahideh, T. Korakianitis, Analytical magnetic field calculation of slotted brushless permanent-magnet machines with surface inset magnets. IEEE Trans. Magn. 48, 2633–2649 (2012)CrossRefGoogle Scholar
  11. 11.
    M. Chunting, M. Filippa, L. Weiguo, M. Ruiqing, Analytical method for predicting the air-gap flux of interior-type permanent-magnet machines. IEEE Trans. Magn. 40, 50–58 (2004)CrossRefGoogle Scholar
  12. 12.
    G. Dajaku, D. Gerling, Stator slotting effect on the magnetic field distribution of salient pole synchronous permanent-magnet machines. IEEE Trans. Magn. 46, 3676–3683 (2010)CrossRefGoogle Scholar
  13. 13.
    Z. Li, S.Z. Jiang, Z.Q. Zhu, C.C. Chan, Analytical modeling of open-circuit air-gap field distributions in multisegment and multilayer interior permanent-magnet machines. IEEE Trans. Magn. 45, 3121–3130 (2009)CrossRefGoogle Scholar
  14. 14.
    T. Wen-Bin, C. Ting-Yu, Analysis of flux leakage in a brushless permanent-magnet motor with embedded magnets. IEEE Trans. Magn. 35, 543–547 (1999)CrossRefGoogle Scholar
  15. 15.
    H. Chang-Chou, Y.H. Cho, Effects of leakage flux on magnetic fields of interior permanent magnet synchronous motors. IEEE Trans. Magn. 37, 3021–3024 (2001)CrossRefGoogle Scholar
  16. 16.
    E.C. Lovelace, T.M. Jahns, J.H. Lang, A saturating lumped-parameter model for an interior PM synchronous machine. IEEE Trans. Ind. Appl. 38, 645–650 (2002)CrossRefGoogle Scholar
  17. 17.
    R. Dutta, M.F. Rahman, L. Chong, Winding inductances of an interior permanent magnet (IPM) machine with fractional slot concentrated winding. IEEE Trans. Magn. 48, 4842–4849 (2012)CrossRefGoogle Scholar
  18. 18.
    W. Jie, W. Yunyan, L. Xinhua, Z. Jie, W. Tiezhou, Effect of parameters on back-EMF in permanent magnet brushless DC motor with concentrated winding, in World Automation Congress, 2008, WAC 2008 (2008), pp. 1–4Google Scholar
  19. 19.
    T.J.E. Miller, R. Rabinovici, Back-EMF waveforms and core losses in brushless DC motors. IEE Proc. Electr. Power Appl. 141, 144–154 (1994)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.School of Electrical Engineering and TelecommunicationsThe University of New South WalesSydneyAustralia

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