Abstract
Electrodynamic bearings exploit the eddy current effects that take place in a conductor rotating in a constant magnetic field to achieve passive levitation without the need of additional devices, as sensors, power electronics, etc. Nevertheless, the instability issues require a dynamic analysis that would guarantee the rotor stability. In the literature, electrodynamic bearings modeling is mainly based on quasi-static analysis, i.e., the study of the forces induced in a disk that rotates with a fixed eccentricity relative to the constant magnetic field. Although this approach is useful for a first-approximation analysis, it is intrinsically related to steady state conditions, and therefore limited. Besides, the quasi-static analysis is generally based on finite element simulations, in which geometries and material properties are tested through a trial-and-error method. In the following, a model of the bearing including a few parameters, but still able to describe both the quasi-static and the dynamic performance is presented. A sensitivity analysis based on the variation of the main design parameters of the electrodynamic bearing is performed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Basore, P.A.: Passive Stabilization on Flywheel Magnetic Bearings. MS Thesis, MIT, USA (1980)
Post, R.F., Ryutov, D.D.: Ambient-temperature passive magnetic bearings: theory and design equations. In: Proceedings of the Sixth International Symposium on Magnetic Bearings, MIT Cambridge, USA, 5–7 August 1998
Murakami, C., Satoh, I.: Experiments of a very simple radial-passive magnetic bearing based on eddy currents. In: Proceedings of the Seventh International Symposium on Magnetic Bearings, Zurich, Switzerland, 23–25 August 2000
Bender, D.A., Post, R.F.: Ambient-temperature passive magnetic bearings for flywheel energy storage systems. In: Proceedings of the Seventh International Symposium on Magnetic Bearings, Zurich, Switzerland, 23–25 August 2000
Moser, R., Regamey, Y.J., Sandtner, J., Bleuler, H.: Passive diamagnetic levitation for flywheels. In: Proceedings of the Eigth International Symposium of Magnetic Bearings, Mito, Japan 26–28 August 2002
Post, R.F., Ryutov, D.D.: The inductrack: a simpler approach to magnetic levitation. IEEE Trans. Appl. Superconductivity 10(1), 901–904 (2000)
Thornton, R.D., Thompson, M.T.: Magnetically based ride quality control for an electrodynamic Maglev suspension. In: Proceedings of the Fourth International Symposium on Magnetic Suspension Technology, Gifu city, Japan, 30 Octorber–1 November 1997
Lembke, T.A.: Induction Bearings, a homopolar Concept for High Speed Machines. Ph.D. Thesis, Royal Institute of Technology, Sweden (2003)
Lembke, T.A.: 3D-FEM analysis of a low loss homopolar induction bearing. In: Proceedings of Ninth International Symposium on Magnetic Bearings, Lexington, Kentucky, USA, 3–6 August 2004
Filatov, A., Maslen, E.H.: Passive magnetic bearing for flywheel energy storage systems. IEEE Trans. Magn. 37(6), 3913–3924 (2001)
Filatov, A.: Null-E Magnetic Bearings. Ph.D. Thesis, University of Virginia, USA (2002)
Filatov, A.: Flywheel energy storage system with homopolar electrodynamic magnetic bearing. In: Proceedings of the Tenth International Symposium on Magnetic Bearings, Martigny, Switzerland, 21–23 August 2006
Sandtner, J., Bleuler, H.: Electrodynamic passive magnetic bearing with planar halbach arrays. In: Proceedings of the Ninth International Symposium on Magnetic Bearings, Lexington, Kentucky, USA, 3–6 August 2004
Sandtner, J., Bleuler, H.: Passive electrodynamic magnetic thrust bearing especially designed for constant speed applications. In: Proceedings of the Tenth International Symposium on Magnetic Bearings, Martigny, Switzerland, 21–23 August 2006
Tonoli, A.: Dynamic characteristics of eddy current dampers and couplers. J. Sound Vib. 301, 576–591 (2006)
Genta, G., Macchi, P., Carabelli, S., Tonoli, A., Silvagni, M., Amati, N., Visconti, M.: Semi-active electromagnetic dampers for the dynamic control of rotors. In: Proceedings of the Seventh International Conference on Rotordynamics (IFToMM), Vienna, Austria, 25–28 September 2006
Tonoli, A., Amati, N.: Dynamic modeling and experimental validation of eddy current dampers and couplers. J. Vib. Acoust. 130(2), 021011-1-021011-9 (2008)
Crandall, S.H., Karnopp, D.C., Kurtz, E.F., Pridmore-Brown, E.C.: Dynamics of Mechanical and Electromechanical Systems. McGraw-Hill, New York (1968)
Karnopp, D.: Permanent magnets linear motors used as variable mechanical dampers for vehicle suspensions. Vehicle Syst. Dyn. 18, 187–200 (1989)
Genta, G.: Dynamics of Rotating Systems. Springer, New York (2005)
Amati, N., De Lépine, X., Tonoli, A.: Modeling of electrodynamic bearings. J. Vib. Acoust. 130(6) (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this paper
Cite this paper
Genta, G., Lépine, X.D., Impinna, F., Girardello, J., Amati, N., Tonoli, A. (2011). Sensitivity Analysis of the Design Parameters in Electrodynamic Bearings. In: Gupta, K. (eds) IUTAM Symposium on Emerging Trends in Rotor Dynamics. IUTAM Bookseries, vol 1011. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0020-8_25
Download citation
DOI: https://doi.org/10.1007/978-94-007-0020-8_25
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0019-2
Online ISBN: 978-94-007-0020-8
eBook Packages: EngineeringEngineering (R0)