Barabanov, N, Schiffer, J orcid.org/0000-0001-5639-4326, Ortega, R et al. (1 more author) (2017) Conditions for Almost Global Attractivity of a Synchronous Generator Connected to an Infinite Bus. IEEE Transactions on Automatic Control, 62 (10). pp. 4905-4916. ISSN 0018-9286
Abstract
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2017 IEEE. This is an author produced version of a paper published in IEEE Transactions on Automatic Control. Uploaded in accordance with the publisher's self-archiving policy. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. |
Keywords: | Power system stability, Mathematical model, Asymptotic stability, Stability analysis, Power system dynamics, Synchronous generators, Analytical models |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Electronic & Electrical Engineering (Leeds) > Institute of Communication & Power Networks (Leeds) |
Funding Information: | Funder Grant number EU - European Union GA 734832 |
Depositing User: | Symplectic Publications |
Date Deposited: | 09 Feb 2017 11:16 |
Last Modified: | 01 Oct 2017 21:08 |
Published Version: | https://doi.org/10.1109/TAC.2017.2671026 |
Status: | Published |
Publisher: | IEEE |
Identification Number: | 10.1109/TAC.2017.2671026 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:112143 |