Eur. Phys. J. Appl. Phys.
Volume 66, Number 2, May 2014
|Number of page(s)||15|
|Section||Physics of Energy Transfer, Conversion and Storage|
|Published online||05 June 2014|
Small shape deviations causes complex dynamics in large electric generators
Department of Applied Physics and Mechanical Engineering, Luleå University of Technology, SE-97187
2 Department of Mathematics and Mathematical Statistics, Umeå University, SE-90187 Umeå, Sweden
3 Department of Forest Resource Management, Swedish University of Agricultural Sciences, SE-90337 Umeå, Sweden
a e-mail: email@example.com
Revised: 7 March 2014
Accepted: 28 April 2014
Published online: 5 June 2014
We prove that combinations of small eccentricity, ovality and/or triangularity in the rotor and stator can produce complex whirling motions of an unbalanced rotor in large synchronous generators. It is concluded which structures of shape deviations that are more harmful, in the sense of producing complex whirling motions, than others. For each such structure, we derive simplified equations of motions from which we conclude analytically the relation between shape deviations and mass unbalance that yield non-smooth whirling motions. Finally we discuss validity of our results in the sense of modeling of the unbalanced magnetic pull force.
© EDP Sciences, 2014
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