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Conference Paper: Investigating the load flow equations in power systems via LMI-based techniques

TitleInvestigating the load flow equations in power systems via LMI-based techniques
Authors
KeywordsLinear spaces
Lmi constraints
Lmi optimization
Load flow equations
Nonconvex optimization problem
Issue Date2009
PublisherIEEE.
Citation
The 7th Asian Control Conference (ASCC 2009), Hong Kong, China, 27-29 August 2009. In Proceedings of the Asian Control Conference, 2009, p. 418-423 How to Cite?
AbstractSolving the load flow equations is an important problem in power systems. This paper proposes an approach for addressing this problem via a convex optimization with LMI constraints. This approach ensures to find all solutions provided that the dimension of a linear space provided by the optimization is smaller than a known threshold. Then, this paper considers the characterization of the set of admissible power, in particular the computation of the largest admissible power, which amounts to solving a nonconvex optimization problem. It is shown that an upper bound of the sought power can be obtained via convex LMI optimization. Moreover, a necessary and sufficient condition for establishing whether the upper bound is tight or not is provided. Some numerical examples illustrate the proposed approach. ©2009 ACA.
Persistent Identifierhttp://hdl.handle.net/10722/126029
ISBN
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_HK
dc.contributor.authorHung, YSen_HK
dc.date.accessioned2010-10-31T12:05:55Z-
dc.date.available2010-10-31T12:05:55Z-
dc.date.issued2009en_HK
dc.identifier.citationThe 7th Asian Control Conference (ASCC 2009), Hong Kong, China, 27-29 August 2009. In Proceedings of the Asian Control Conference, 2009, p. 418-423en_HK
dc.identifier.isbn978-89-956056-9-1-
dc.identifier.urihttp://hdl.handle.net/10722/126029-
dc.description.abstractSolving the load flow equations is an important problem in power systems. This paper proposes an approach for addressing this problem via a convex optimization with LMI constraints. This approach ensures to find all solutions provided that the dimension of a linear space provided by the optimization is smaller than a known threshold. Then, this paper considers the characterization of the set of admissible power, in particular the computation of the largest admissible power, which amounts to solving a nonconvex optimization problem. It is shown that an upper bound of the sought power can be obtained via convex LMI optimization. Moreover, a necessary and sufficient condition for establishing whether the upper bound is tight or not is provided. Some numerical examples illustrate the proposed approach. ©2009 ACA.en_HK
dc.languageengen_HK
dc.publisherIEEE.-
dc.relation.ispartofProceedings of the Asian Control Conferenceen_HK
dc.rightsProceedings of the 7th Asian Control Conference. Copyright © IEEE.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rights©2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.subjectLinear spaces-
dc.subjectLmi constraints-
dc.subjectLmi optimization-
dc.subjectLoad flow equations-
dc.subjectNonconvex optimization problem-
dc.titleInvestigating the load flow equations in power systems via LMI-based techniquesen_HK
dc.typeConference_Paperen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=978-89-956056-9-1&volume=&spage=418&epage=423&date=2009&atitle=Investigating+the+load+flow+equations+in+power+systems+via+LMI-based+techniques-
dc.identifier.emailChesi, G:chesi@eee.hku.hken_HK
dc.identifier.emailHung, YS:yshung@eee.hku.hken_HK
dc.identifier.authorityChesi, G=rp00100en_HK
dc.identifier.authorityHung, YS=rp00220en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.scopuseid_2-s2.0-71449111270en_HK
dc.identifier.hkuros175053en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-71449111270&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage418en_HK
dc.identifier.epage423en_HK
dc.description.otherThe 7th Asian Control Conference (ASCC 2009), Hong Kong, China, 27-29 August 2009. In Proceedings of the Asian Control Conference, 2009, p. 418-423-
dc.identifier.scopusauthoridChesi, G=7006328614en_HK
dc.identifier.scopusauthoridHung, YS=8091656200en_HK

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