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The complex Hurwitz test for the analysis of spontaneous self-excitation in induction generators
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Bodson, Marc and Kiselychnyk, Oleh (2013) The complex Hurwitz test for the analysis of spontaneous self-excitation in induction generators. IEEE Transactions on Automatic Control, Vol.58 (No.2). pp. 449-454. doi:10.1109/TAC.2012.2206691 ISSN 0018-9286.
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Official URL: http://dx.doi.org/10.1109/TAC.2012.2206691
Abstract
Spontaneous self-excitation in induction generators is a fascinating phenomenon triggered by the instability of a zero equilibrium state. Prediction of this condition for various values of free parameters requires many computations of the eigenvalues of a 6 × 6 matrix over a large space. The technical note uses a novel approach to stability using a transformation of the state-space system and an extension of the Hurwitz test to polynomials with complex coefficients. The analytic formulas that are obtained give the values of the minimum load resistance, the range of capacitor values, and the range of speeds for which spontaneous self-excitation appears. The technical note concludes with an illustration of the results on an example.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||
Journal or Publication Title: | IEEE Transactions on Automatic Control | ||||
Publisher: | IEEE | ||||
ISSN: | 0018-9286 | ||||
Official Date: | February 2013 | ||||
Dates: |
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Volume: | Vol.58 | ||||
Number: | No.2 | ||||
Page Range: | pp. 449-454 | ||||
DOI: | 10.1109/TAC.2012.2206691 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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