volume | PIER Journals

Abstract

An eddy current damper for an optimized rotation magnetized direction (RMD) permanent magnet thrust bearing (PMTB) was analyzed in this paper. Initially, optimization of critical design variables was performed for a particular bearing volume for maximum force as well as stiffness. Then, generalized curve fit equations were established to obtain a correlation between different geometrical parameters concerning the outer diameter and airgap. Furthermore, the axial force of the optimized RMD configuration calculated using mathematical model was validated using the results of FEA in ANSYS. Finally, finite element simulation was performed to evaluate the damping forces generated by an eddy current damper (ECD) for an optimized thrust bearing. Analysis has shown that eddy current dampers can improve system damping.

1. Maslen, E. H. and G. Schweitzer, Magnetic Bearings, Vol. 53, No. 9, Springer Berlin Heidelberg, 2009.
doi:10.1007/978-3-642-00497-1

2. Bleuler, H., et al. Magnetic Bearings, Springer Berlin Heidelberg, 2009.

3. Tian, L., X. P. Ai, and Y. Q. Tian, "Analytical model of magnetic force for axial stack permanent magnet bearings," IEEE Trans. Magn., Vol. 48, No. 10, 2592-2599, 2012.
doi:10.1109/TMAG.2012.2197635

4. Marth, E., G. Jungmayr, and W. Amrhein, "A 2-D-based analytical method for calculating permanent magnetic ring bearings with arbitrary magnetisation and its application to optimal bearing design," IEEE Trans. Magn., Vol. 50, No. 5, 1-8, 2014.
doi:10.1109/TMAG.2013.2295550

5. Bekinal, S. I., M. Doddamani, and N. D. Dravid, "Utilization of low computational cost two dimensional analytical equations in optimization of multi rings permanent magnet thrust bearings," Progress In Electromagnetics Research M, Vol. 62, 51-63, 2017.
doi:10.2528/PIERM17072007

6. Bekinal, S. I. and S. Jana, "Generalized three-dimensional mathematical models for force and stiffness in axially, radially, and perpendicularly magnetized passive magnetic bearings with `n' number of ring pairs," J. Tribol., Vol. 138, No. 3, 1-9, 2016.
doi:10.1115/1.4032668

7. Sodano, H. A. and D. J. Inman, "Modelling of a new active eddy current vibration control system," J. Dyn. Syst. Meas. Control. Trans. ASME, Vol. 130, No. 2, 0210091-02100911, 2008.
doi:10.1115/1.2837436

8. Supreeth, D. K., S. I. Bekinal, S. R. Chandranna, and M. Doddamani, "A review of superconducting magnetic bearings and their application," IEEE Trans. Appl. Supercond., Vol. 32, No. 3, 3800215, 2022.
doi:10.1109/TASC.2022.3156813

9. Passenbrunner, J., G. Jungmayr, and W. Amrhein, "Design and analysis of a 1D actively stabilized system with viscoelastic damping support," Actuators, Vol. 8, No. 2, 1-18, 2019.
doi:10.3390/act8020033

10. Deshwal, D., S. I. Bekinal, and M. Doddamani, "Analysis of novel eddy current damper for multi-ring permanent magnet thrust bearing," Progress In Electromagnetics Research M, Vol. 104, 13-22, 2021.
doi:10.2528/PIERM21070107

11. Fang, Y. L., J. Sun, and K. Wang, "Analysis and design of passive magnetic bearing and damping system for high-speed compressor," IEEE Trans. Magn., Vol. 48, No. 9, 2528-2537, 2012.
doi:10.1109/TMAG.2012.2196443

12. Detoni, J. G., Q. Cui, N. Amati, and A. Tonoli, "Modelling and evaluation of damping coefficient of eddy current dampers in rotordynamic applications," J. Sound Vib., Vol. 373, 52-65, 2016.
doi:10.1016/j.jsv.2016.03.013

13. Sun, Y., S. Yin, Y. Yuan, Y. Huang, and F. Yang, "Multi-objective optimization design of magnetic bearing based on genetic particle swarm optimization," Progress In Electromagnetics Research M, Vol. 81, 181-192, 2019.
doi:10.2528/PIERM19031904

14. Moser, R., J. Sandtner, and H. Bleuler, "Optimization of repulsive passive magnetic bearings," IEEE Trans. Magn., Vol. 42, No. 8, 2038-2042, 2006.
doi:10.1109/TMAG.2005.861160

15. Zeisberger, M., T. Habisreuther, D. Litzkendorf, O. Surzhenko, R. Muller, and W. Gawalek, "Optimization of levitation forces," IEEE Trans. Appiled Supercond., Vol. 11, No. 1, 1741-1744, Mar. 2001.
doi:10.1109/77.920120

16. Sahinkaya, M. N. and A. E. Hartavi, "Variable bias current in magnetic bearings for energy optimization," IEEE Trans. Magn., Vol. 43, No. 3, 1052-1060, 2007.
doi:10.1109/TMAG.2006.888731

17. Rao, J. S. and R. Tiwari, "Optimum design and analysis of axial hybrid magnetic bearings using multi-objective genetic algorithms," Int. J. Comput. Methods Eng. Sci. Mech., Vol. 13, No. 1, 10-27, 2012.
doi:10.1080/15502287.2011.636786

18. Liu, X. and B. Han, "The multiobjective optimal design of a two-degree-of-freedom hybrid magnetic bearing," IEEE Trans. Magn., Vol. 50, No. 9, 2014.
doi:10.1109/TMAG.2014.2313315

19. Bekinal, S. I., M. Doddamani, and S. Jana, "Optimization of axially magnetized stack structured permanent magnet thrust bearing using three-dimensional mathematical model," J. Tribol., Vol. 139, No. 3, 1-9, 2017.
doi:10.1115/1.4034533

20. Bekinal, S. I., M. Doddamani, M. Vanarotti, and S. Jana, "Generalized optimization procedure for rotational magnetized direction permanent magnet thrust bearing configuration," Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., Vol. 233, No. 7, 2563-2573, 2019.
doi:10.1177/0954406218786976

21. Lijesh, K. P., M. Doddamani, and S. I. Bekinal, "A pragmatic optimization of axial stack-radial passive magnetic bearings," J. Tribol., Vol. 140, No. 2, 1-9, 2018.
doi:10.1115/1.4037847

22. Lijesh, K. P., M. Doddamani, S. I. Bekinal, and S. M. Muzakkir, "Multi-objective optimization of stacked radial passive magnetic bearing," Proc. Inst. Mech. Eng. Part J J. Eng. Tribol., Vol. 232, No. 9, 1140-1159, 2018.
doi:10.1177/1350650117733374

Dr. Amarsh Jalaik

Dr. Supreeth Dinesh Kumar

Dr. Gireesha R. Chalageri

Dr. Siddappa Iranna Bekinal

Dr. Mrityunjay Doddamani

Dr. Shivamurthy Rokkad Chandranna