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Small shape deviations causes complex dynamics in large electric generators
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. Department of Applied Physics and Mechanical Engineering, Luleå University of Technology, SE-97187 Luleå, Sweden .
Department of Forest Resource Management, Swedish University of Agricultural Sciences, SE-90337 Umeå, Sweden .
Department of Applied Physics and Mechanical Engineering, Luleå University of Technology, SE-97187 Luleå, Sweden .
2014 (English)In: European Physical Journal: Applied physics, ISSN 1286-0042, E-ISSN 1286-0050, Vol. 66, no 2, 20903- p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
EDP Sciences, 2014. Vol. 66, no 2, 20903- p.
National Category
Mathematics Physical Sciences
Identifiers
URN: urn:nbn:se:umu:diva-91388DOI: 10.1051/epjap/2014130447ISI: 000338424300012OAI: oai:DiVA.org:umu-91388DiVA: diva2:736216
Available from: 2014-08-05 Created: 2014-08-04 Last updated: 2017-12-05Bibliographically approved

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