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Analytical Estimation of Rotor Loss Due to Stator Slotting of Synchronous PM Machines

Authors: Adel Bettayeb, Robert Kaczmarek, Jean-Claude Vannier


In this paper, we analyze the rotor eddy currents losses provoqued by the stator slot harmonics developed in the permanent magnets or pole pieces of synchronous machines. An analytical approach is presented to evaluate the effect of slot ripples on rotor field and losses calculation. This analysis is then tested on a model by 2D/3D finite element (FE) calculation. The results show a good agreement on loss calculations when skin effect is negligible and the magnet is considered.

Keywords: Analytical Modeling, power losses, Eddy-currents, Finite-elementmethods, Slot harmonics effect

Digital Object Identifier (DOI):

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[1] M. Jahns, G. B. Kliman, and T. W. Neumann, "Interior permanent magnet synchronous motors for adjustable-speed drives," IEEE Trans. Ind. Appilcat., vol. IA-22,pp.738-745,1986
[2] A. Arkkio, N. Bianchi, S. Bolognani, T. Jokinen, F. Luise, and Rosu, "Design of synchronous PM motor for submerses marine propulsion system, " in ICEM 2002 Proc., Brugge, Belgium, Aug.2002,pp. 25-28
[3] J. Nerg, M. Niemela, J. Pyrhonen, and J. Partananen, "FEM calculation of rotor losses in medium speed direct torque controlled PM synchronous motor at different load condition," IEEE trans. Magn., vol. 38, pp.5070-5072, Sep. 1997
[4] S. M. Abu Sharkh, M.R Harris, N. Taghizadeh. Irenji, "Calculation of rotor Eddy current loss in High-speed PM alternators," electrical Machines and Drives, pp.170-174, Sep.1997.
[5] G. Grellet, " Pertes dans les machines tournantes," technique de l-ingénieur, traiter d-électricité, vol. D3450, Dec. 1989
[6] Y. Katsumi, A. Atsushi, "Loss Investigation of Interior Permanent- Magnet Motors Considering Carrier Harmonics and Magnet Eddy Currents," IEEE Transactions on Industry Application, vol. 45, n┬░ 4, April 2009, p.659-665.
[7] J. D. Ede, K. Attalah, G. W. Jewell, J. B. Wang, D. Howe, --Effect of Axial Segmentation of Permanent Magnets on Rotor Loss in Modular Permanent -Magnet Brushless Machines, IEEE Transactions on Industry Applications, vol. 43, n┬░ 5, September 2007, p.1207-1213.
[8] K. Altallah et al, "Rotor loss in Permanent-magnet brushless AC machines", IEEE Trans. on Industry Applications, vo. 36, no. 6, Nov. 2000, pp. 1612-1617
[9] Hiroaki Toda et al, "Rotor eddy-current loss in permanent magnet brushless machines", IEEE Trans. on Magnetics, vol. 40, no. 4, July 2004, pp.2104-2106
[10] H. Hofmann, S. R. Sanders, ÔÇÿ-High-Speed Synchronous Reluctance Machine with Minimized Rotor Losses--, IEEE Trans. on Industry Applications, vo. 36, no. 2, April. 2000, pp. 531-539.
[11] N. Bianchi, S. Bolognani, and F. Luise, "Potentials and Limits of High- Speed PM Motors," IEEE Trans. Industry Applications, vol. 40, no. 6, pp. 1570-1578, Nov./Dec. 2004
[12] J. F. Gieras, A. C. Koening and L. D. Vanek, "Calculation of Eddy Current Losses in Conductive Sleeves of synchronous Machines", Proceedings of the 2008 ICEM, Paper ID1305.
[13] C. Mercrow, A. G. Jack, J. M. Masterman, "determination of rotor eddy current losses in permanent magnet machines", Sixth International Conference on Electrical Machines and Drives. Publ. No. 376, pp. 299- 304, Sep 1993
[14] T A. Lipo, " Introduction to AC machine design," Wisconsin power electronics research center, book chapter 5, pp. 287,297,
[15] R. Richter, "Elektrische Maschinen," Band IV. Die inductionmaschinen. Birhauser, Basel, 1963.
[16] L. Alberti, E. Fornasiero, N. Bianchi, and S. Bolognani, "Impact of Rotor Losses in a 12-slot 10-pole
[17] Chari, M. V.K and Silvester, P.P, Finite element in electrical and magnetic field problems, John Wiley et Sons, New York,1980.