Analytical Modelling of Stator Magnetic Characteristics in Fractional-Slot Concentrated-Wound Permanent Magnet Machines

  • Mohammad Farshadnia
Part of the Springer Theses book series (Springer Theses)


This chapter lays the basis for the rest of this thesis. A thorough analysis is first performed on the MMF produced by different FSCW configurations, based on which, FSCW stators are classified into “classes” and “categories”, each of them with their own distinct features. Lumped equations are then proposed for different stator categories. The harmonic winding factors of the different FSCW stator categories are then formulated based on which the flux linkages and back-EMFs are calculated. A case-study is then investigated to evaluate the application of the proposed equations in the selection process for the most appropriate slot and pole combination for application-oriented FSCW stators.


  1. 1.
    R. Islam, I. Husain, A. Fardoun, K. McLaughlin, Permanent-magnet synchronous motor magnet designs with skewing for torque ripple and cogging torque reduction. IEEE Trans. Ind. Appl. 45, 152–160 (2009)CrossRefGoogle Scholar
  2. 2.
    Z.Q. Zhu, D. Howe, Influence of design parameters on cogging torque in permanent magnet machines. IEEE Trans. Energy Convers. 15, 407–412 (2000)CrossRefGoogle Scholar
  3. 3.
    C. Sadarangani, Electrical Machines-Design and Analysis of Introduction and Permanent Magnet Motors (2006)Google Scholar
  4. 4.
    J.A. Guemes, A.M. Iraolagoitia, P. Fernández, M.P. Donsio, et al., Comparative study of PMSM with integer-slot and fractional-slot windings, in 2010 XIX International Conference on Electrical Machines (ICEM) (2010), pp. 1–6Google Scholar
  5. 5.
    K.-H. Shin, J.-S. Yu, J.-Y. Choi, H.-W. Cho, Design and analysis of interior permanent magnet synchronous motor considering saturated rotor bridge using equivalent magnetic circuit. J. Magn. 19, 404–410 (2014)CrossRefGoogle Scholar
  6. 6.
    P.C. Krause, O. Wasynczuk, S.D. Sudhoff, S. Pekarek, Analysis of Electric Machinery and Drive Systems, vol. 75 (Wiley, 2013)Google Scholar
  7. 7.
    K. Huilin, Z. Libing, W. Jin, Harmonic winding factors and MMF analysis for five-phase fractional-slot concentrated winding PMSM, in 2013 International Conference on Electrical Machines and Systems (ICEMS) (2013), pp. 1236–1241Google Scholar
  8. 8.
    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
  9. 9.
    L. Alberti, M. Barcaro, N. Bianchi, Design of a low-torque-ripple fractional-slot interior permanent-magnet motor. IEEE Trans. Ind. Appl. 50, 1801–1808 (2014)CrossRefGoogle Scholar
  10. 10.
    N. Bianchi, S. Bolognani, M.D. Pre, G. Grezzani, Design considerations for fractional-slot winding configurations of synchronous machines. IEEE Trans. Ind. Appl. 42, 997–1006 (2006)CrossRefGoogle Scholar
  11. 11.
    J. Pyrhonen, T. Jokinen, V. Hrabovcová, Design of Rotating Electrical Machines (Wiley, 2009)Google Scholar
  12. 12.
    A.O. Di Tommaso, F. Genduso, R. Miceli, A software for the evaluation of winding factor harmonic distribution in high efficiency electrical motors and generators, in Proceedings of the EVER (2013), pp. 1–6Google Scholar
  13. 13.
    R.F. Burbidge, A rapid method of analysing the m.m.f. wave of a single or polyphase winding. Proc. IEE Part C: Monogr. 105, 307–311 (1958)Google Scholar
  14. 14.
    E. Fornasiero, N. Bianchi, S. Bolognani, Slot harmonic impact on rotor losses in fractional-slot permanent-magnet machines. IEEE Trans. Ind. Electron. 59, 2557–2564 (2012)CrossRefGoogle Scholar
  15. 15.
    N. Bianchi, E. Fornasiero, Index of rotor losses in three-phase fractional-slot permanent magnet machines. Electr. Power Appl. IET 3, 381–388 (2009)CrossRefGoogle Scholar
  16. 16.
    A.M. El-Refaie, Fractional-slot concentrated-windings synchronous permanent magnet machines: opportunities and challenges. IEEE Trans. Ind. Electron. 57, 107–121 (2010)CrossRefGoogle Scholar

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© 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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