volume | PIER Journals

Abstract

In order to reduce the higher harmonic component of the magnetic field in magnetically levitated permanent-magnet planar motors (PMPMs), a sinusoidal index for 2-dimensional (2D) wave is proposed and verified by calculating the average total harmonic distortion (THD) of the discrete waveform. Based on this, a novel optimal design method using THD for 2-dimensional wave (THD2D) and fundamental amplitude is proposed for PMPMs. The finite element analysis and experimental results show that the higher harmonic component of magnetic field is reduced with average fundamental amplitude invariant, and the back-EMF is better. So the optimal design method can improve the electromagnetic performance of magnetically levitated PMPMs.

1. Compter, I. J., "Electro-dynamic planar motor," Precision Engineering, Vol. 28, No. 2, 171-180, 2004.
doi:10.1016/j.precisioneng.2003.08.002

2. Min, W., M. Zhang, Y. Zhu, F. Liu, G. Duan, J. Hu, and W. Yin, "Analysis and design of novel overlapping ironless windings for planar motors," IEEE Transactions on Magnetics, Vol. 47, No. 11, 4635-4642, 2011.
doi:10.1109/TMAG.2011.2158585

3. Rovers, J. M. M., J. W. Jansen, J. C. Compter, and E. A. Lomonova, "Analysis method of the dynamic force and torque distribution in the magnet array of a commutated magnetically levitated planar actuator," IEEE Transactions on Industrial Electronics, Vol. 59, No. 5, 2157-2166, 2012.
doi:10.1109/TIE.2011.2146222

4. Cho, H.-S. and H.-K. Jung, "Analysis and design of synchronous permanent-magnet planar motors," IEEE Transactions on Energy Conversion, Vol. 17, No. 4, 492-499, 2002.
doi:10.1109/TEC.2002.805295

5. Cho, H.-S., C.-H. Im, and H.-K. Jung, "Magnetic field analysis of 2-D permanent magnet array for planar motor," IEEE Transactions on Magnetics, Vol. 37, No. 5, 3762-3766, 2001.
doi:10.1109/20.952708

6. Choi, J. H., J. H. Park, and Y. S. Baek, "Design and experimental validation of performance for a Maglev moving-magnet-type synchronous PM planar motor," IEEE Transactions on Magnetics, Vol. 42, No. 10, 3419-3421, 2006.
doi:10.1109/TMAG.2006.879450

7. Ravaud, R. and G. Lemarquand, "Comparison of the coulombian and amperian current models for calculating the magnetic field produced by radially magnetized arc-shaped permanent magnets," Progress In Electromagnetics Research, Vol. 95, 309-327, 2009.

8. Ravaud, R., G. Lemarquand, V. Lemarquand, and C. Depollier, "The three exact components of the magnetic field created by a radially magnetized tile permanent magnet," Progress In Electromagnetics Research, Vol. 88, 307-319, 2008.
doi:10.2528/PIER08112708

9. Kang, H. B., J. Y. Choi, H. W. Cho, and J. H. Kim, "Comparative study of torque analysis for synchronous permanent magnet coupling with parallel and halbach magnetized magnets based on analytical field calculations," IEEE Transactions on Magnetics, Vol. 50, No. 11, 8600604, 2014.

10. Touati, S., R. Ibtiouen, O. Touhami, and A. Djerdir, "Experimental investigation and optimization of permanent magnet motor based on coupling boundary element method with permeances network," Progress In Electromagnetics Research, Vol. 111, 71-90, 2011.
doi:10.2528/PIER10092303

11. Boeij, J., E. Lomonova, and A. Vandenput, "Modeling ironless permanent-magnet planar actuator structures," IEEE Transactions on Magnetics, Vol. 42, No. 8, 2009-2016, 2006.
doi:10.1109/TMAG.2006.877712

12. Jing, L., L. Liu, M. Xiong, and D. Feng, "Parameters analysis and optimization design for a concentric magnetic gear based on sinusoidal magnetizations," IEEE Transactions on Applied Superconductivity, Vol. 24, No. 5, 0600905, 2006.

13. Min, W., M. Zhang, Y. Zhu, B. Chen, G. Duan, J. Hu, and W. Yin, "Analysis and optimization of a new 2-D magnet array for planar motor," IEEE Transactions on Magnetics, Vol. 46, No. 5, 1167-1171, 2010.
doi:10.1109/TMAG.2010.2040922

14. Boeij, J., E. A. Lomonova, and A. J. Vandenput, "Optimization of contactless planar actuator with manipulator," IEEE Transactions on Magnetics, Vol. 44, No. 6, 1118-1121, 2008.
doi:10.1109/TMAG.2007.915873

15. Cao, J., S. Wang, Y. Zhu, and W. Yin, "Modeling the static vertical force of the core-type permanent-magnet planar motor," IEEE Transactions on Magnetics, Vol. 44, No. 12, 4653-4658, 2008.
doi:10.1109/TMAG.2008.2002691

16. Cao, J., Y. Zhu, J. Wang, W. Yin, and G. Duan, "A novel synchronous permanent magnet planar motor and its model for control applications," IEEE Transactions on Magnetics, Vol. 41, No. 6, 2156-2163, 2005.
doi:10.1109/TMAG.2005.848607

17. Peng, J., Y. Zhou, and G. Liu, "Calculation of a new real-time control model for the magnetically levitated ironless planar motor," IEEE Transactions on Magnetics, Vol. 49, No. 4, 1416-1422, 2013.
doi:10.1109/TMAG.2012.2221134

18. Rovers, H., J. W. Jansen, and E. A. Lomonova, "Multiphysical analysis of moving-magnet planar motor topologies," IEEE Transactions on Magnetics, Vol. 49, No. 12, 5730-5741, 2013.
doi:10.1109/TMAG.2013.2273060

19. Yan, L., L. Zhang, T. Wang, Z. Jiao, C.-Y. Chen, and I.-M. Chen, "Magnetic field of tubular linear machines with dual halbach array," Progress In Electromagnetics Research, Vol. 136, 283-299, 2013.
doi:10.2528/PIER12110302

20. Jansen, J. W., J. P. C. Smeets, T. T. Overboom, J. M. M. Rovers, and E. A. Lomonova, "Overview of analytical models for the design of linear and planar motors," IEEE Transactions on Magnetics, Vol. 50, No. 11, 8206207, 2014.
doi:10.1109/TMAG.2014.2328556

21. Jansen, J. W., C. M. M. Van Lierop, E. A. Lomonova, and A. J. A. Vandenput, "Modeling of magnetically levitated planar actuator with moving magnets," IEEE Transactions on Magnetics, Vol. 43, No. 1, 15-25, 2007.
doi:10.1109/TMAG.2006.886051

22. Jansen, J. W., C. M. M. Van Lierop, E. A. Lomonova, and A. J. A. Vandenput, "Magnetically levitated planar actuator with moving magnets," IEEE Transactions on Industry Applications, Vol. 44, No. 4, 1108-1115, 2008.
doi:10.1109/TIA.2008.926065

Dr. Xinhua Zhang

Dr. Hao Luo

Professor Zebin Yang

Professor Xiaodong Sun

Dr. Jinchun Hu