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Controlling Chaos through Period-Doubling Bifurcations in Attitude Dynamics for Power Systems
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper addresses the complex nonlinear dynamics involved in controlling chaos in power systems using bifurcation diagrams, time responses, phase portraits, Poincaré maps, and frequency spectra.
Our results revealed that nonlinearities in power systems produce period-doubling bifurcations, which can lead to chaotic motion.
Analysis based on the Lyapunov exponent and Lyapunov dimension was used to identify the onset of chaotic behavior.
We also developed a continuous feedback control method based on synchronization characteristics for suppressing of chaotic oscillations.
The results of our simulation support the feasibility of using the proposed method.
The robustness of parametric perturbations on a power system with synchronization control was analyzed using bifurcation diagrams and Lyapunov stability theory.
American Psychological Association (APA)
Chang, Shun-Chang. 2020. Controlling Chaos through Period-Doubling Bifurcations in Attitude Dynamics for Power Systems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1201714
Modern Language Association (MLA)
Chang, Shun-Chang. Controlling Chaos through Period-Doubling Bifurcations in Attitude Dynamics for Power Systems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1201714
American Medical Association (AMA)
Chang, Shun-Chang. Controlling Chaos through Period-Doubling Bifurcations in Attitude Dynamics for Power Systems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1201714
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201714