Vol. 37

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2014-06-16

Analytical Prediction of Cogging Torque for Interior Permanent Magnet Synchronous Machines

By Hooshang Mirahki and Mehdi Moallem
Progress In Electromagnetics Research M, Vol. 37, 31-40, 2014
doi:10.2528/PIERM14042904

Abstract

In this paper, a combination of Lumped-Parameters Model, Quasi-Poisson's equations and Conformal Mapping methods is used for predicting radial and tangential air gap flux density of Interior Permanent Magnet Synchronous Machine for calculation of cogging torque. In the proposed method, Lumped Parameters Model is used for calculation of saturation and flux leakage. Quasi-Poisson's equation is used for forming radial and tangential flux density in slotless stator, and finally Conformal Mapping is used to account for slot effects. Using the results of this method, cogging torque waveform can be calculated using Maxwell stress tensor and virtual work methods. To validate the method, results are compared with Finite Element Method results for a candidate Interior Permanent Magnet Synchronous Machine.

Citation


Hooshang Mirahki and Mehdi Moallem, "Analytical Prediction of Cogging Torque for Interior Permanent Magnet Synchronous Machines," Progress In Electromagnetics Research M, Vol. 37, 31-40, 2014.
doi:10.2528/PIERM14042904
http://www.jpier.org/PIERM/pier.php?paper=14042904

References


    1. Miller, T. M. E., Brushless Permanent-magnet and Reluctance Motor Drives, Oxford University Press, New York, 1989.

    2. Boldea, I., Reluctance Synchronous Machines and Drives, Oxford University Press, New York, 1996.

    3. Wu, L. J., Z. Zhu, D. 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, 2414-2425, 2012.
    doi:10.1109/TIE.2011.2143379

    4. Zarko, D., D. Ban, and T. Lipo, "Analytical solution for cogging torque in surface permanent-magnet motors using conformal mapping," IEEE Trans. Mag., Vol. 44, No. 1, 52-65, 2008.
    doi:10.1109/TMAG.2007.908652

    5. Dosiek, L. and P. Pillay, "Cogging torque reduction in permanent magnet machines," IEEE Transactions on Industry Applications, Vol. 43, No. 6, 1565-1571, 2007.
    doi:10.1109/TIA.2007.908160

    6. Mirahki, H., M. Moallem, and S. A. Rahimi, "Design optimization of IPMSM for 42V integrated starter-alternator using lumped parameter model and genetic algorithms," IEEE Trans. Mag., Vol. 50, No. 3, 114-119, 2014.
    doi:10.1109/TMAG.2013.2285358

    7. Parsa, L. and L. Hao, "Interior permanent magnet motors with reduced torque pulsation," IEEE Transactions on Industrial Electronics, Vol. 55, No. 2, 602-609, 2008.
    doi:10.1109/TIE.2007.911953

    8. Dorrell, D. and M. Popescu, "Odd stator slot numbers in brushless DC machines --- An aid to cogging torque reduction," IEEE Trans. Mag., Vol. 47, No. 10, 3012-3015, 2011.
    doi:10.1109/TMAG.2011.2157093

    9. Bianchi, N. and S. Bolognani, "Design techniques for reducing the cogging torque in surface-mounted PM motors," IEEE Transactions on Industry Applications, Vol. 38, No. 5, 1259-1265, 2002.
    doi:10.1109/TIA.2002.802989

    10. Boukais, B. and H. Zeroug, "Magnet segmentation for commutation torque ripple reduction in a brushless DC motor drive," IEEE Trans. Mag., Vol. 46, No. 11, 3909-3919, 2010.
    doi:10.1109/TMAG.2010.2057439

    11. Ashabani, M. and Y. A. R. I. Mohamed, "Multiobjective shape optimization of segmented pole permanent-magnet synchronous machines with improved torque characteristics," IEEE Trans. Mag., Vol. 47, No. 4, 795-804, 2011.
    doi:10.1109/TMAG.2010.2104327

    12. Zhu, L., S. Z. Jiang, Z. Q. Zhu, and C. C. Chan, "Analytical methods for minimizing cogging torque in permanent-magnet machines," IEEE Trans. Mag., Vol. 45, No. 4, 2023-2031, 2009.
    doi:10.1109/TMAG.2008.2011363

    13. El-Refaie, A., T. Jahns, and D. Novotny, "Analysis of surface permanent magnet machines with ractional-slot concentrated windings," IEEE Transactions on Energy Conversion, Vol. 21, No. 1, 34-43, 2006.
    doi:10.1109/TEC.2005.858094

    14. Zhu, Z., D. Howe, E. Bolte, and B. Ackermann, "Instantaneous magnetic field distribution in brushless permanent magnet dc motors. Part I. Open-circuit field," IEEE Trans. Mag., Vol. 29, No. 1, 124-135, 1993.
    doi:10.1109/20.195557

    15. Zhu, Z., D. Howe, and C. Chan, "Improved analytical model for predicting the magnetic field distribution in brushless permanent-magnet machines," IEEE Trans. Mag., Vol. 38, No. 1, 229-238, 2002.
    doi:10.1109/20.990112

    16. Zarko, D., D. Ban, and T. 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. Mag., Vol. 42, No. 7, 1828-1837, 2006.
    doi:10.1109/TMAG.2006.874594

    17. Jian, L., G. Xu, C. C. Mi, K. T. Chau, and C. C. Chan, "Analytical method for magnetic field calculation in a low-speed permanent-magnet harmonic machine," IEEE Transactions on Energy Conversion, Vol. 26, No. 3, 862-870, 2011.
    doi:10.1109/TEC.2011.2140373

    18. Hwanga, C., C. Changa, C. Panb, and T. Changc, "Estimation of parameters of interior permanent magnet synchronous motors," Journal of Magnetism and Magnetic Materials, Vol. 239, No. 1-3, 600-603, 2006.
    doi:10.1016/S0304-8853(01)00647-3

    19. Lovelace, E., T. Jahns, and J. H. Lang, "A saturating lumped-parameter model for an interior PM synchronous machine," IEEE Transactions on Industry Applications, Vol. 38, No. 6, 645-650, 2002.
    doi:10.1109/TIA.2002.1003413

    20. Mirahki, H. and M. Moallem, "Comparison of saturated parameters of three-layer interior permanent magnet synchronous machine obtained from lumped parameter model and finite element method," 21st Iranian Conference on in Electrical Engineering (ICEE), 1-5, 2013.
    doi:10.1109/IranianCEE.2013.6599712

    21. Chu, W. and Z. Zhu, "On-load cogging torque calculation in permanent magnet machines," IEEE Trans. Mag., Vol. 49, No. 6, 2982-2989, 2013.
    doi:10.1109/TMAG.2012.2236348

    22. Zhu, L., S. Z. Jiang, Z. Zhu, and C. Chan, "Analytical modeling of open-circuit air-gap field distributions in multisegment and multilayer interior permanent-magnet machines," IEEE Trans. Mag., Vol. 45, No. 8, 3121-3130, 2013.
    doi:10.1109/TMAG.2009.2019841

    23. Studer, C., A. Keyhani, T. Sebastian, and S. Murthy, "Study of cogging torque in permanent magnet machines," Conference Record of the 1997 IEEE Industry Applications Conference, Thirty-Second IAS Annual Meeting, IAS' 97, Vol. 1, 42-49, 1997.
    doi:10.1109/IAS.1997.643006