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TECHNICAL PAPERS

Numerical Identification of Electromagnetic Force Parameters for Linearized Rotordynamic Model of Cage Induction Motors

[+] Author and Article Information
Timo P. Holopainen

VTT Technical Research Centre of Finland, VTT Industrial Systems, P.O. Box 13022, FIN-02044 VTT, Finland

Asmo Tenhunen

Laboratory of Electromechanics, Helsinki University of Technology, P.O. Box 3000, FIN-02015 HUT, Finland e-mail: asmo.tenhunen@hut.fi

Erkki Lantto

High Speed Tech Ltd., Tekniikantie 4 D, FIN-02150 Espoo, Finlande-mail: erkki.lantto@absnopon.com

Antero Arkkio

Laboratory of Electromechanics, Helsinki University of Technology, P.O. Box 3000, FIN-02015 HUT, Finlande-mail: antero.arkkio@hut.fi

J. Vib. Acoust 126(3), 384-390 (Jul 30, 2004) (7 pages) doi:10.1115/1.1688764 History: Received January 01, 2003; Revised November 01, 2003; Online July 30, 2004
Copyright © 2004 by ASME
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References

Früchtenicht,  J., Jordan,  H., and Seinsch,  H. O., 1982, “Exzentrizitätsfelder als Ursache von Laufinstabilitäten bei Asynchronmaschinen, Teil I und II” Archive für Electrotechnik, 65, pp. 271–292.
Belmans,  R., Vandenput,  A., and Geysen,  W., 1987, “Calculation of the Flux Density and the Unbalanced Pull in Two Pole Induction Machines,” Archive für Electrotechnik, 70, pp. 151–161.
Skubov,  D., and Shumakovich,  I. V., 1999, “Stability of the Rotor of an Induction Motor in the Magnetic Field of the Current Windings,” Mech. Solids 34(4), pp. 28–40. (Translated from Mekhanika Tverdogo Tela, 4 , pp. 36–50, 1999)
Arkkio,  A., Antila,  M., Pokki,  K., Simon,  A., and Lantto,  E., 2000, “Electromagnetic Force on a Whirling Cage Rotor,” IEE Proceedings–Electric Power Applications, 147(5), pp. 353–360.
Holopainen, T. P., Tenhunen, A., and Arkkio, A., 2002, “Electromagnetic Circulatory Forces and Rotordynamic Instability in Electric Machines,” Proceedings, 6th International Conference on Rotor Dynamics, E. J. Hahn, and R. B. Randall, eds., University of New South Wales Printing Services, Sydney, Australia, Vol. 1 , pp. 446–463.
Holopainen, T. P., Tenhunen, A., and Arkkio, A., 2002, “Electromechanical Interaction in Rotor Vibrations of Electric Machines,” Proceedings, 5th World Congress on Computational Mechanics, H. A., Mang, F. G. Rammerstorfer, and J., Eberhardsteiner, eds., Vienna University of Technology, Vienna, Austria, 10 p, http://wccm.tuwien.ac.at.
Tenhunen, A., Holopainen, T. P., and Arkkio, A., 2003, “Impulse Method to Calculate the Frequency Response of the Electromagnetic Forces on Whirling Cage Rotors,” IEE Proceedings–Electric Power Applications, 150 (6), pp. 752–756.
Tenhunen,  A., Holopainen,  T. P., and Arkkio,  A., 2003, “Spatial Linearity of Unbalanced Magnetic Pull in Induction Motors During Eccentric Rotor Motions,” The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 22(4), pp. 862–876.
Arkkio,  A., 1987, “Analysis of Induction Motors Based on the Numerical Solution of the Magnetic Field and Circuit Equations,” Acta Polytechnica Scandinavia, Electrical Engineering Series, No. 59, Finnish Academy of Technology, Helsinki, http://lib.hut.fi/Diss
Coulomb,  J. L., 1983, “A Methodology for the Determination of Global Electromechanical Quantities from a Finite Element Analysis and its Application to the Evaluation of Magnetic Forces, Torques and Stiffness,” IEEE Trans. Magn. 19(6), pp. 2514–2519.
Meirovitch, L., 1997, Principles and Techniques of Vibrations, Prentice Hall, New Jersey.
Ewins, D. J., 2000, Modal Testing: Theory, Practice and Application, 2nd ed., Research Studies Press Ltd., Hertfordshire, England.

Figures

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The cross-sectional geometry of the 15 kW cage induction motor
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Cross-sectional geometry of the 18.5 kW cage induction motor with extended air-gap length
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Transient force response of the 15 kW motor at rated load and voltage due to the impulse excitation in complex plane
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Transient force response of the 15 kW motor at rated load and voltage due to impulse excitation in time domain
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The calculated frequency response function and the parametric curves obtained by the curve fitting procedure. The upper curves are radial components.
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The radial and tangential components of the frequency response function obtained by the long and short samples. The upper curves are radial components. The exponential windowing was used in the short sample.
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The electromagnetic force components of the 18.5 kW motor induced by the mechanical impulse. The results obtained by the complete and linearized electromechanical models.
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The amplitude of the FRF between the whirling amplitude and rotational excitation force.
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The parallel and perpendicular component of FRF between the rotational electromagnetic force and the rotational excitation force. The results of complete and linearized model are presented.

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