Vol. 52
Latest Volume
All Volumes
PIERB 107 [2024] PIERB 106 [2024] PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2013-06-17
Analysis of Radial Magnetized Permanent Magnet Bearing Characteristics for Five Degrees of Freedom
By
Progress In Electromagnetics Research B, Vol. 52, 307-326, 2013
Abstract
This paper presents a simple mathematical model to determine the force, stiffness and moment parameters in Permanent Magnet (PM) bearings made of radial magnetized ring magnets using Coulombian model and vector approach for five degrees of freedom. MATLAB codes are written to evaluate the bearing characteristics for three translational (x, y and z) and two angular (ξ and γ) degrees of freedom of the rotor magnet. The results of the mathematical model are compared with the results of Finite Element Analysis (FEA) using ANSYS and experiments for a PM bearing with one ring pair, thereby the presented mathematical model is validated. Furthermore, the PM bearing with three ring pairs with alternate radial polarizations are analysed by extending the presented mathematical model and also using ANSYS. Finally, the 5×5 stiffness matrix consisting of principal and cross coupled values is presented for the elementary structure as well as for the stacked structure with three ring pairs.
Citation
Siddappa Iranna Bekinal, Anil Tumkur Ramakrishna, and Soumendu Jana, "Analysis of Radial Magnetized Permanent Magnet Bearing Characteristics for Five Degrees of Freedom," Progress In Electromagnetics Research B, Vol. 52, 307-326, 2013.
doi:10.2528/PIERB13032102
References

1. Bekinal, S. I., T. R. Anil, and S. Jana, "Analysis of radial magnetized permanent magnet bearing characteristics," Progress In Electromagnetics Research B, Vol. 47, 87-105, 2013.

2. Chu, H. Y., Y. Fan, and C. S. Zhang, "A novel design for the flywheel energy storage system," Proceedings of the Eighth International Conference on Electrical Machines and Systems, Vol. 2, 1583-1587, 2005.

3. Guilherme, G. S., R. Andrade, and A. C. Ferreira, "Magnetic bearing sets for a flywheel system," IEEE Trans. on Applied Super Conductivity, Vol. 172, 2150-2153, 2007.

4. Jinji, S., R. Yuan, and F. Jiancheng, "Passive axial magnetic bearing with Halbach magnetized array in magnetically suspended control moment gyro application," Journal of Magnetism and Magnetic Materials, Vol. 323, No. 5, 2103-2107, 2011.
doi:10.1016/j.jmmm.2011.02.020

5. Ravaud, R., G. Lemarquand, and R. Lemarquand, "Analytical calculation of the magnetic field created by permanent magnet rings," IEEE Trans. Magn., Vol. 44, No. 8, 1982-1989, 2008.
doi:10.1109/TMAG.2008.923096

6. Babic, S. I. and C. Akyel, "Improvement in the analytical calculation of the magnetic field produced by permanent magnet rings," Progress In Electromagnetics Research C, Vol. 5, 71-82, 2008.

7. Selvaggi, J. P., et al. "Calculating the external magnetic field from permanent magnets in permanent-magnet motors --- An alternative method," IEEE Trans. Magn., Vol. 40, No. 5, 3278-3285, 2004.
doi:10.1109/TMAG.2004.831653

8. 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.
doi:10.2528/PIER09042105

9. Ravaud, R., G. Lemarquand, V. Lemarquand, and C. Depollier, "Discussion about the analytical calculation of the magnetic field created by permanent magnets," Progress In Electromagnetics Research B, Vol. 11, 281-297, 2009.
doi:10.2528/PIERB08112102

10. Paden, B., N. Groom, and J. Antaki, "Design formulas for permanent-magnet bearings," ASME Trans., Vol. 125, 734-739, 2003.
doi:10.1115/1.1625402

11. Chen, C., et al. "A magnetic suspension theory and its application to the heart quest ventricular assist device," Artificial Organs, Vol. 26, No. 11, 947-951, 2002.
doi:10.1046/j.1525-1594.2002.07125.x

12. Azukizawa, T., S. Yamamoto, and N. Matsuo, "Feasibility study of a passive magnetic bearing using the ring shaped permanent magnets," IEEE Trans. Magn., Vol. 44, No. 11, 4277-4280, 2008.
doi:10.1109/TMAG.2008.2001490

13. Lang, M., "Fast calculation method for the forces and stiffnesses of permanent-magnet bearings," 8th International Symposium on Magnetic Bearing , 533-537, 2002.

14. Samanta, P. and H. Hirani, "Magnetic bearing configurations: Theoretical and experimental studies," IEEE Trans. Magn., Vol. 44, No. 2, 292-300, 2008.
doi:10.1109/TMAG.2007.912854

15. Ravaud, R., G. Lemarquand, and V. Lemarquand, "Force and stiffness of passive magnetic bearings using permanent magnets. Part 1: Axial magnetization," IEEE Trans. Magn., Vol. 45, No. 7, 2996-3002, 2009.
doi:10.1109/TMAG.2009.2016088

16. Ravaud, R., G. Lemarquand, and V. Lemarquand, "Force and stiffness of passive magnetic bearings using permanent magnets. Part 2: Radial magnetization," IEEE Trans. Magn., Vol. 45, No. 9, 3334-3342, 2009.
doi:10.1109/TMAG.2009.2025315

17. Yoo, S., et al. "Optimal design of non-contact thrust bearing using permanent magnet rings," International Journal of Precision Engineering and Manufacturing, Vol. 12, No. 6, 1009-1014, 2011.
doi:10.1007/s12541-011-0134-4

18. Bekinal, S. I., T. R. Anil, and S. Jana, "Force, moment and stiffness characteristics of permanent magnet bearings," Proceedings of National Symposium on Rotor Dynamics, 161-168, 2011.

19. Ravaud, R. and G. Lemarquand, "Halbach structures for permanent magnets bearings," Progress In Electromagnetics Research M, Vol. 14, 263-277, 2010.
doi:10.2528/PIERM10100401

20. Earnshaw, S., "On the nature of the molecular forces which regulate the constitution of the luminiferous ether," Transactions of the Cambridge Philosophical Society, Vol. 7, 97-112, 1842.

21. Jiang, W., et al. "Forces and moments in axially polarized radial permanent magnet bearings," Proceedings of Eighth International Symposium on Magnetic Bearings, 521-526, 2002.

22. Jiang, W., et al. "Stiffness analysis of axially polarized radial permanent magnet bearings," Proceedings of Eighth International Symposium on Magnetic Bearings, 527-532, 2002.

23. Bekinal, S. I., T. R. Anil, and S. Jana, "Analysis of axially magnetized permanent magnet bearing characteristics," Progress In Electromagnetics Research B, Vol. 44, 327-343, 2012.