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Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays
Joint Authors
Xinlei, An
Luo, Hongwei
Lu, Jiarong
Du, Wenju
Jiangang, Zhang
Source
Journal of Control Science and Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-12
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
A PI hydroturbine governing system with saturation and double delays is generated in small perturbation.
The nonlinear dynamic behavior of the system is investigated.
More precisely, at first, we analyze the stability and Hopf bifurcation of the PI hydroturbine governing system with double delays under the four different cases.
Corresponding stability theorem and Hopf bifurcation theorem of the system are obtained at equilibrium points.
And then the stability of periodic solution and the direction of the Hopf bifurcation are illustrated by using the normal form method and center manifold theorem.
We find out that the stability and direction of the Hopf bifurcation are determined by three parameters.
The results have great realistic significance to guarantee the power system frequency stability and improve the stability of the hydropower system.
At last, some numerical examples are given to verify the correctness of the theoretical results.
American Psychological Association (APA)
Luo, Hongwei& Jiangang, Zhang& Du, Wenju& Lu, Jiarong& Xinlei, An. 2017. Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays. Journal of Control Science and Engineering،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1173424
Modern Language Association (MLA)
Luo, Hongwei…[et al.]. Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays. Journal of Control Science and Engineering No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1173424
American Medical Association (AMA)
Luo, Hongwei& Jiangang, Zhang& Du, Wenju& Lu, Jiarong& Xinlei, An. Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays. Journal of Control Science and Engineering. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1173424
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173424