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Article: Lyapunov functions of lur'e-postnikov form for structure preserving models of power systems

TitleLyapunov functions of lur'e-postnikov form for structure preserving models of power systems
Authors
KeywordsLyapunov Methods
Power Transmission
Stability
Issue Date1989
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
Citation
Automatica, 1989, v. 25 n. 3, p. 453-460 How to Cite?
AbstractThis paper improves the derivation of Lyapunov functions for power systems based on structure preserving models. Such models have been shown elsewhere to have considerable advantages over the usual models based on impedance loads and a reduced network. However, the development of energy functions for structure preserving models to date has largely proceeded by ad hoc means. Energy functions are shown to be cleanly derived (not guessed) and improved by a systematic application of the multivariable Popov stability criterion. This considerably extends an earlier analysis by Hill and Bergen (IEEE Trans. Circuits Syst., CAS-29, 840-848 (1982)). A fundamental limit to the class of non-linear load models allowed in the stability analysis is clarified. For the first time, a systematic study is made of refined energy functions corresponding to special generator and load damping properties. This exposes an interesting connection with the stability analysis of the usual reduced network model. © 1989.
Persistent Identifierhttp://hdl.handle.net/10722/169623
ISSN
2015 Impact Factor: 3.635
2015 SCImago Journal Rankings: 4.315

 

DC FieldValueLanguage
dc.contributor.authorHill, DJen_US
dc.contributor.authorChong, CNen_US
dc.date.accessioned2012-10-25T04:53:55Z-
dc.date.available2012-10-25T04:53:55Z-
dc.date.issued1989en_US
dc.identifier.citationAutomatica, 1989, v. 25 n. 3, p. 453-460en_US
dc.identifier.issn0005-1098en_US
dc.identifier.urihttp://hdl.handle.net/10722/169623-
dc.description.abstractThis paper improves the derivation of Lyapunov functions for power systems based on structure preserving models. Such models have been shown elsewhere to have considerable advantages over the usual models based on impedance loads and a reduced network. However, the development of energy functions for structure preserving models to date has largely proceeded by ad hoc means. Energy functions are shown to be cleanly derived (not guessed) and improved by a systematic application of the multivariable Popov stability criterion. This considerably extends an earlier analysis by Hill and Bergen (IEEE Trans. Circuits Syst., CAS-29, 840-848 (1982)). A fundamental limit to the class of non-linear load models allowed in the stability analysis is clarified. For the first time, a systematic study is made of refined energy functions corresponding to special generator and load damping properties. This exposes an interesting connection with the stability analysis of the usual reduced network model. © 1989.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automaticaen_US
dc.relation.ispartofAutomaticaen_US
dc.subjectLyapunov Methodsen_US
dc.subjectPower Transmissionen_US
dc.subjectStabilityen_US
dc.titleLyapunov functions of lur'e-postnikov form for structure preserving models of power systemsen_US
dc.typeArticleen_US
dc.identifier.emailHill, DJ:en_US
dc.identifier.authorityHill, DJ=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0024668686en_US
dc.identifier.volume25en_US
dc.identifier.issue3en_US
dc.identifier.spage453en_US
dc.identifier.epage460en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US
dc.identifier.scopusauthoridChong, CN=7202196420en_US

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