Stability, Chaos Detection, and Quenching Chaos in the Swing Equation System
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-23
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The main objective of this study is to explore the complex nonlinear dynamics and chaos control in power systems.
The rich dynamics of power systems were observed over a range of parameter values in the bifurcation diagram.
Also, a variety of periodic solutions and nonlinear phenomena could be expressed using various numerical skills, such as time responses, phase portraits, Poincaré maps, and frequency spectra.
They have also shown that power systems can undergo a cascade of period-doubling bifurcations prior to the onset of chaos.
In this study, the Lyapunov exponent and Lyapunov dimension were employed to identify the onset of chaotic motion.
Also, state feedback control and dither signal control were applied to quench the chaotic behavior of power systems.
Some simulation results were shown to demonstrate the effectiveness of these proposed control approaches.
American Psychological Association (APA)
Chang, Shun-Chang. 2020. Stability, Chaos Detection, and Quenching Chaos in the Swing Equation System. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1197131
Modern Language Association (MLA)
Chang, Shun-Chang. Stability, Chaos Detection, and Quenching Chaos in the Swing Equation System. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1197131
American Medical Association (AMA)
Chang, Shun-Chang. Stability, Chaos Detection, and Quenching Chaos in the Swing Equation System. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1197131
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197131