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Article: On the convergence of decoupled optimal power flow methods

TitleOn the convergence of decoupled optimal power flow methods
Authors
KeywordsConvergence
Decoupled OPF (DOPF)
Semismooth Gauss-Seidel method
Issue Date2007
PublisherTaylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/01630563.asp
Citation
Numerical Functional Analysis And Optimization, 2007, v. 28 n. 3-4, p. 467-485 How to Cite?
AbstractThis paper investigates the convergence of decoupled optimal power flow (DOPF) methods used in power systems. In order to make the analysis tractable, a rigorous mathematical reformation of DOPF is presented first to capture the essence of conventional heuristic decompositions. By using a nonlinear complementary problem (NCP) function, the Karush-Kuhn-Tucker (KKT) systems of OPF and its subproblems of DOPF are reformulated as a set of semismooth equations, respectively. The equivalent systems show that the sequence generated by DOPF methods is identical to the sequence generated by Gauss-Seidel methods with respect to nonsmooth equations. This observation motivates us to extend the classical Gauss-Seidel method to semismooth equations. Consequently, a so-called semismooth Gauss-Seidel method is presented, and its related topics such as algorithm and convergence are studied. Based on the new theory, a sufficient convergence condition for DOPF methods is derived. Numerical examples of well-known IEEE test systems are also presented to test and verify the convergence theorem.
Persistent Identifierhttp://hdl.handle.net/10722/73804
ISSN
2015 Impact Factor: 0.649
2015 SCImago Journal Rankings: 0.678
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTong, Xen_HK
dc.contributor.authorWu, FFen_HK
dc.contributor.authorQi, Len_HK
dc.date.accessioned2010-09-06T06:54:55Z-
dc.date.available2010-09-06T06:54:55Z-
dc.date.issued2007en_HK
dc.identifier.citationNumerical Functional Analysis And Optimization, 2007, v. 28 n. 3-4, p. 467-485en_HK
dc.identifier.issn0163-0563en_HK
dc.identifier.urihttp://hdl.handle.net/10722/73804-
dc.description.abstractThis paper investigates the convergence of decoupled optimal power flow (DOPF) methods used in power systems. In order to make the analysis tractable, a rigorous mathematical reformation of DOPF is presented first to capture the essence of conventional heuristic decompositions. By using a nonlinear complementary problem (NCP) function, the Karush-Kuhn-Tucker (KKT) systems of OPF and its subproblems of DOPF are reformulated as a set of semismooth equations, respectively. The equivalent systems show that the sequence generated by DOPF methods is identical to the sequence generated by Gauss-Seidel methods with respect to nonsmooth equations. This observation motivates us to extend the classical Gauss-Seidel method to semismooth equations. Consequently, a so-called semismooth Gauss-Seidel method is presented, and its related topics such as algorithm and convergence are studied. Based on the new theory, a sufficient convergence condition for DOPF methods is derived. Numerical examples of well-known IEEE test systems are also presented to test and verify the convergence theorem.en_HK
dc.languageengen_HK
dc.publisherTaylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/01630563.aspen_HK
dc.relation.ispartofNumerical Functional Analysis and Optimizationen_HK
dc.subjectConvergenceen_HK
dc.subjectDecoupled OPF (DOPF)en_HK
dc.subjectSemismooth Gauss-Seidel methoden_HK
dc.titleOn the convergence of decoupled optimal power flow methodsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0163-0563&volume=28 Issue 3-4&spage=467&epage=485&date=2007&atitle=On+the+Convergence+of+Decoupled+Optimal+Power+Flow+Methodsen_HK
dc.identifier.emailWu, FF: ffwu@eee.hku.hken_HK
dc.identifier.authorityWu, FF=rp00194en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1080/01630560701250135en_HK
dc.identifier.scopuseid_2-s2.0-34247634568en_HK
dc.identifier.hkuros132717en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34247634568&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume28en_HK
dc.identifier.issue3-4en_HK
dc.identifier.spage467en_HK
dc.identifier.epage485en_HK
dc.identifier.isiWOS:000246077800012-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridTong, X=12242993600en_HK
dc.identifier.scopusauthoridWu, FF=7403465107en_HK
dc.identifier.scopusauthoridQi, L=7202149952en_HK

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