Conditions for Almost Global Attractivity ...
Document type :
Article dans une revue scientifique: Article original
DOI :
Title :
Conditions for Almost Global Attractivity of a Synchronous Generator Connected to an Infinite Bus
Author(s) :
Barabanov, Nikita [Auteur]
University of North Dakota [Grand Forks] [UND]
Schiffer, Johannes [Auteur]
University of Leeds
Ortega, Romeo [Auteur]
Laboratoire des signaux et systèmes [L2S]
Efimov, Denis [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
University of North Dakota [Grand Forks] [UND]
Schiffer, Johannes [Auteur]
University of Leeds
Ortega, Romeo [Auteur]
Laboratoire des signaux et systèmes [L2S]
Efimov, Denis [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Journal title :
IEEE Transactions on Automatic Control
Pages :
4905-4916
Publisher :
Institute of Electrical and Electronics Engineers
Publication date :
2017-10-01
ISSN :
0018-9286
English keyword(s) :
power system stability
Power system dynamics
nonlinear control systems
cell structures
Power system dynamics
nonlinear control systems
cell structures
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
Conditions for existence and global attractivity of the equilibria of a realistic model of a synchronous generator with constant field current connected to an infinite bus are derived. First, necessary and sufficient ...
Show more >Conditions for existence and global attractivity of the equilibria of a realistic model of a synchronous generator with constant field current connected to an infinite bus are derived. First, necessary and sufficient conditions for existence and uniqueness of equilibrium points are provided. Then, sufficient conditions for local asymptotic stability and almost global attractivity of one of these equilibria are given. The analysis is carried out by employing a new Lyapunov–like function to establish convergence of bounded trajectories, while the latter is proven using the powerful theoretical framework of cell structures pioneered by Leonov and Noldus. The efficiency of the derived sufficient conditions is illustrated via extensive numerical experiments based on two benchmark examples taken from the literature.Show less >
Show more >Conditions for existence and global attractivity of the equilibria of a realistic model of a synchronous generator with constant field current connected to an infinite bus are derived. First, necessary and sufficient conditions for existence and uniqueness of equilibrium points are provided. Then, sufficient conditions for local asymptotic stability and almost global attractivity of one of these equilibria are given. The analysis is carried out by employing a new Lyapunov–like function to establish convergence of bounded trajectories, while the latter is proven using the powerful theoretical framework of cell structures pioneered by Leonov and Noldus. The efficiency of the derived sufficient conditions is illustrated via extensive numerical experiments based on two benchmark examples taken from the literature.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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