2011-05-29
An Inverse Problem Approach for Parameter Estimation of Interior Permanent Magnet Synchronous Motor
By
Progress In Electromagnetics Research B, Vol. 31, 15-28, 2011
Abstract
The estimation of d- and q-axis parameters is highly desirable, because they are fundamental parameters to many vector control algorithms in the d-q reference frame for fast and accurate responses. Using the finite element method (FEM) for the determination of the interior permanent magnet synchronous motor (IPM) reactance provides an accurate means of determining the field distribution. However, this method might be time consuming. The magnetic circuit modelling approach has been successfully used to model a variety of electrical machine such as IPM motors. This paper deals with the inverse problem methodology for the identification of d- and q-axis synchronous reactance of an IPM motor. The proposed method uses a measured electromotive force (EMF) to compute the objective function. The machine parameters identified by the proposed approach are compared to experimental results.
Citation
Mounir Hadef, Mohamed Rachid Mekideche, Abdesselem Djerdir, and Abdellatif Miraoui, "An Inverse Problem Approach for Parameter Estimation of Interior Permanent Magnet Synchronous Motor," Progress In Electromagnetics Research B, Vol. 31, 15-28, 2011.
doi:10.2528/PIERB11021202
References

1. Lovelace, E. C., T. M. Jahns, and J. H. Lang, "A saturating lumped-parameter model for an interior PM synchronous machine," IEEE Trans. on Industry Applications, Vol. 38, No. 3, 645-650, 2002.
doi:10.1109/TIA.2002.1003413        Google Scholar

2. Bernal, F. F., A. G. Cerrada, and R. Faure, "Determination of parameters in interior permanent-magnet synchronous motors with iron losses without torque measurement ," IEEE Trans. on Industry Applications, Vol. 37, No. 5, 1265-1272, Sep.-Oct. 2001.
doi:10.1109/28.952501        Google Scholar

3. Rezaie, J., M. Gholami, R. Firouzi, T. Alizadeh, and K. Salashoor , "Interior permanent magnet synchronous motor (IPMSM) adaptive genetic parameter estimation," Proceedings of the WCECS, Oct. 2007.        Google Scholar

4. Meessen, K. J., P. Thelin, J. Soulard, and E. A. Lomonova, "Inductance calculations of permanent-magnet synchronous machines including flux change and self- and cross-saturations," IEEE Trans. on Magnetics, Vol. 44, No. 10, 2324-2331, Oct. 2008.
doi:10.1109/TMAG.2008.2001419        Google Scholar

5. Gieras, J. F., E. Santini, and M. Wing, "Calculation of synchronous reactances of small permanent-magnet alternating-current motors: Comparison of analytical approach and finite element method with measurements," IEEE Trans. on Magnetics, Vol. 34, No. 5, 3712-3720, Sep. 1998.
doi:10.1109/20.718533        Google Scholar

6. Rahman, M. A. and P. Zhou, "Determination of saturated parameters of PM motors using loading magnetic fields," IEEE Trans. on Magnetics, Vol. 27, No. 5, 3947-3950, Sep. 1991.
doi:10.1109/20.104967        Google Scholar

7. Nee, H. P., L. Lefevre, P. Thelin, and J. Soulard, "Determination of d and q reactances of permanent-magent synchronous motors without measurements of the rotor position ," IEEE Trans. on Industry Applications, Vol. 36, No. 5, 1330-1335, Sep.-Oct. 2000.
doi:10.1109/28.871281        Google Scholar

8. Rahman, K. M. and S. Hiti, "Identification of machine parameters of a synchronous motor," IEEE Trans. on Industry Applications, Vol. 41, No. 2, 557-565, Mar.-Apr. 2005.
doi:10.1109/TIA.2005.844379        Google Scholar

9. Lee, J. Y., S. H. Lee, G. H. Lee, J. P. Hong, and J. Hur, "Determination of parameters considering magnetic nonlinearity in an interior permanent magnet synchronous motor," IEEE Trans. on Magnetics, Vol. 42, No. 4, 1303-1306, Apr. 2006.
doi:10.1109/TMAG.2006.871951        Google Scholar

10. Hwang, C. C., S. M. Chang, C. T. Pan, and T. Y. Chang, "Estimation of parameters of interior permanent magnet synchronous motors," Journal of Magnetism and Magnetic Materials, Vol. 239, 600-603, 2002.
doi:10.1016/S0304-8853(01)00647-3        Google Scholar

11. Lee, J. Y., J. W. Kim, J. H. Chang, S. U. Chung, D. H. Kang, and J. P. Hong, "Determination of parameters considering magnetic nonlinearity in solid core transverse flux linear motor for dynamic simulation," IEEE Trans. on Magnetics, Vol. 44, No. 6, 1566-1569, Jun. 2008.
doi:10.1109/TMAG.2007.915894        Google Scholar

12. Qing, A., C. K. Lee, and L. Jen, "Electromagnetic inverse scattering of two-dimensional perfectly conducting objects by real-coded genetic algorithm," IEEE Trans. Geosci. Remote Sensing, Vol. 39, No. 3, 665-676, Mar. 2001.
doi:10.1109/36.911123        Google Scholar

13. Hoole, S. R., S. Subramanian, R. Saldanha, J. L. Coulomb, and J. C. Sabonnadiere, "Inverse problem methodology and finite elements in the identification of cracks, sources, materials, and their geometry in inaccessible locations," IEEE Trans. on Magnetics, Vol. 27, No. 3, 3433-3443, May 1991.
doi:10.1109/20.79086        Google Scholar

14. Favennec, Y., V. Labbe, Y. Tillier, and F. Bay, "Identification of magnetic parameters by inverse analysis coupled with finite element modeling ," IEEE Trans. on Magnetics, Vol. 38, No. 6, 3607-3619, Nov. 2002.
doi:10.1109/TMAG.2002.804815        Google Scholar

15. Schreiber, J., J. Haueisen, and J. Nenonen, "A new method for choosing the regularization parameter in time-dependent inverse problems and its applications to magnetocardiography," IEEE Trans. on Magnetics, Vol. 40, No. 2, 1104-1107, Mar. 2004.
doi:10.1109/TMAG.2004.824813        Google Scholar

16. Huang, C. H., J. X. Li, and S. Kim, "An inverse problem in estimating the strength of contaminant source for groundwater systems," Applied Mathematical Modelling, Vol. 32, 417-431, 2008.
doi:10.1016/j.apm.2006.12.009        Google Scholar

17. Goharian, M., M. Soleimani, and G. R. Moran, "A trust region subprolem for 3D electrical impedance tomography inverse problem using experimental data," Progress In Electromagnetics Research , Vol. 94, 19-32, 2009.
doi:10.2528/PIER09052003        Google Scholar

18. Hadamard, J., Lectures on the Cauchy Problem in Linear Partial Differential Equations , Yale University Press, New Haven, 1923.

19. Hanke, M., "Limitations of the L-curve method in ill-posed problems," BIT Numerical Mathematics, Vol. 36, 287-301, 1996.
doi:10.1007/BF01731984        Google Scholar

20. Gieras, J. F. and M. Wing, Permanent Magnet Motor Technology: Design and Applications, Marcel Dekker Inc., New York, 2002.