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Title: Bifurcations, chaos and adaptive backstepping sliding mode control of a power system with excitation limitation

Abstract

The bifurcation and Lyapunov exponent for a single-machine-infinite bus system with excitation model are carried out by varying the mechanical power, generator damping factor and the exciter gain, from which periodic motions, chaos and the divergence of system are observed respectively. From given parameters and different initial conditions, the coexisting motions are developed in power system. The dynamic behaviors in power system may switch freely between the coexisting motions, which will bring huge security menace to protection operation. Especially, the angle divergences due to the break of stable chaotic oscillation are found which causes the instability of power system. Finally, a new adaptive backstepping sliding mode controller is designed which aims to eliminate the angle divergences and make the power system run in stable orbits. Numerical simulations are illustrated to verify the effectivity of the proposed method.

Authors:
; ; ;  [1]
  1. School of Electrical and Automation Engineering, Nanjing Normal University, Jiangsu, 210042 (China)
Publication Date:
OSTI Identifier:
22611364
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Advances; Journal Volume: 6; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BIFURCATION; CHAOS THEORY; COMPUTERIZED SIMULATION; DAMPING; EXCITATION; EXCITATION SYSTEMS; GAIN; INSTABILITY; LYAPUNOV METHOD; MODE CONTROL; OSCILLATIONS; PERIODICITY; POWER SYSTEMS; SECURITY; SWITCHES

Citation Formats

Min, Fuhong, E-mail: minfuhong@njnu.edu.cn, Wang, Yaoda, Peng, Guangya, and Wang, Enrong. Bifurcations, chaos and adaptive backstepping sliding mode control of a power system with excitation limitation. United States: N. p., 2016. Web. doi:10.1063/1.4961696.
Min, Fuhong, E-mail: minfuhong@njnu.edu.cn, Wang, Yaoda, Peng, Guangya, & Wang, Enrong. Bifurcations, chaos and adaptive backstepping sliding mode control of a power system with excitation limitation. United States. doi:10.1063/1.4961696.
Min, Fuhong, E-mail: minfuhong@njnu.edu.cn, Wang, Yaoda, Peng, Guangya, and Wang, Enrong. 2016. "Bifurcations, chaos and adaptive backstepping sliding mode control of a power system with excitation limitation". United States. doi:10.1063/1.4961696.
@article{osti_22611364,
title = {Bifurcations, chaos and adaptive backstepping sliding mode control of a power system with excitation limitation},
author = {Min, Fuhong, E-mail: minfuhong@njnu.edu.cn and Wang, Yaoda and Peng, Guangya and Wang, Enrong},
abstractNote = {The bifurcation and Lyapunov exponent for a single-machine-infinite bus system with excitation model are carried out by varying the mechanical power, generator damping factor and the exciter gain, from which periodic motions, chaos and the divergence of system are observed respectively. From given parameters and different initial conditions, the coexisting motions are developed in power system. The dynamic behaviors in power system may switch freely between the coexisting motions, which will bring huge security menace to protection operation. Especially, the angle divergences due to the break of stable chaotic oscillation are found which causes the instability of power system. Finally, a new adaptive backstepping sliding mode controller is designed which aims to eliminate the angle divergences and make the power system run in stable orbits. Numerical simulations are illustrated to verify the effectivity of the proposed method.},
doi = {10.1063/1.4961696},
journal = {AIP Advances},
number = 8,
volume = 6,
place = {United States},
year = 2016,
month = 8
}
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