Vol. 50
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2016-09-12
Magnetic Coenergy Based Modelling of PMSM for HEV/EV Application
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Progress In Electromagnetics Research M, Vol. 50, 11-22, 2016
Abstract
Permanent-magnet synchronous motors (PMSM) used for HEV/EV drivetrain have many non-linear characteristics including saturation, slotting effects and non-sinusoidal back-emf. However, accurate torque control and rigorous on-board-diagnose require precise modelling that goes far beyond capacity of conventional Space Vector based PMSM model considering only fundamental frequency. By considering the higher harmonics of PMSM, this paper introduces a novel PMSM model named Generalized Space Vector Model (GSVM) based on Fourier series reconstruction of magnetic coenergy. Firstly, two-dimensional Fourier series supplemented by polynomial fitting is introduced to reconstruct the numerical solution of coenergy from Finite Element Analysis (FEA). Secondly, analytical models of flux linkage, electric torque and voltage equation in stator current oriented synchronous frame are derived based on the reconstructed coenergy model. Finally, the steady and dynamic characteristics of GSVM are validated against experimental results.
Citation
Zaimin Zhong, Shang Jiang, Yingkun Zhou, and Shuihua Zhou, "Magnetic Coenergy Based Modelling of PMSM for HEV/EV Application," Progress In Electromagnetics Research M, Vol. 50, 11-22, 2016.
doi:10.2528/PIERM16061501
References

1. Cai, W., "Starting engines and powering electric loads with one machine," IEEE Industry Applications Magazine, Vol. 12, No. 6, 29-38, 2006.
doi:10.1109/IA-M.2006.248011

2. Zhu, Z. Q. and D. Howe, "Electrical machines and drives for electric, hybrid, and fuel cell vehicles," Proceedings of the IEEE, Vol. 95, No. 4, 746-765, 2007.
doi:10.1109/JPROC.2006.892482

3. Dutta, R. and M. F. Rahman, "A comparative analysis of two test methods of measuring and axes inductances of interior permanent-magnet machine," IEEE Transactions on Magnetics, Vol. 42, No. 12, 3712-3718, 2006.
doi:10.1109/TMAG.2006.880994

4. Gebregergis, A., M. Islam, T. Sebastian, et al. "Evaluation of inductance in a permanent magnet synchronous motor," 2011 IEEE International Electric Machines & Drives Conference (IEMDC), 1171-1176, 2011.
doi:10.1109/IEMDC.2011.5994768

5. Li, J. and Y. Liao, "Model of permanent magnet synchronous motor considering saturation and rotor flux harmonics," Proceedings of the CSEE, Vol. 31, No. 3, 60-66, 2011.

6. Stumberger, B., G. Stumberger, D. Dolina, et al. "Evaluation of saturation and cross-magnetization effects in interior permanent magnet synchronous motor," Conference Record - IAS Annual Meeting (IEEE Industry Applications Society), Vol. 4, 2557-2562, 2003.

7. Wang, Y., J. Zhu, and Y. Guo, "A comprehensive analytical mathematic model for permanent-magnet synchronous machines incorporating structural and saturation saliencies," IEEE Transactions on Magnetics, Vol. 46, No. 12, 4081-4091, 2010.
doi:10.1109/TMAG.2010.2071392

8. Zhu, W., B. Fahimi, and S. Pekarek, "A field reconstruction method for optimal excitation of permanent magnet synchronous machines," IEEE Transactions on Energy Conversion, Vol. 21, No. 2, 305-313, 2006.
doi:10.1109/TEC.2005.859979

9. Krishnamurthy, U., "Mitigation of vibration in a permanent magnet synchronous machine using field reconstruction," ProQuest, 2008.

10. Khoobroo, A. and B. Fahimi, "Fault detection and optimal treatment of the permanent magnet synchronous machine using field reconstruction method,", https://uta-ir.tdl.org/utair/handle/10106/5115, 2010.

11. Jeong, I. and K. Nam, "Analytic expressions of torque and inductances via polynomial approximations of flux linkages," IEEE Transactions on Magnetics, Vol. 51, 1, 2015.

12. Stevenson, R. C., "The role of Coenergy & the development of a comprehensive analytical model for a PM motor," IEEE Vehicle Power and Propulsion Conference, 2009, VPPC’09, 275-282, 2009.
doi:10.1109/VPPC.2009.5289841

13. Schultz, R. D. and L. Zhao, "Coenergy based transient model of interior permanent synchronous machines," IEEE Industry Applications Society Meeting, 2015.

14. Xiao, X., C. Chen, and M. Zhang, "Dynamic permanent magnet flux estimation of permanent magnet synchronous machines," IEEE Transactions on Applied Superconductivity, Vol. 20, No. 3, 1085-1088, 2010.
doi:10.1109/TASC.2010.2041435

15. Lu, J., J. Yang, Y. Ma, et al. "Compensation for harmonic flux and current of permanent magnet synchronous motor by harmonic voltage," 2015 International Conference on IEEE Informatics, Electronics & Vision (ICIEV), 1-5, 2015.

16. Liao, Y., D. Xiang, L. Ran, et al. "Analysis of harmonic transfer in an AC excited generator including speed ripple," IEEE 2002 28th Annual Conference of the Industrial Electronics Society, IECON’02, Vol. 2, 1162-1166, 2002.
doi:10.1109/IECON.2002.1185437