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Article: On the convergence of decoupled optimal power flow methods
Title | On the convergence of decoupled optimal power flow methods |
---|---|
Authors | |
Keywords | Convergence Decoupled OPF (DOPF) Semismooth Gauss-Seidel method |
Issue Date | 2007 |
Publisher | Taylor & 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? |
Abstract | This 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 Identifier | http://hdl.handle.net/10722/73804 |
ISSN | 2023 Impact Factor: 1.4 2023 SCImago Journal Rankings: 0.536 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Tong, X | en_HK |
dc.contributor.author | Wu, FF | en_HK |
dc.contributor.author | Qi, L | en_HK |
dc.date.accessioned | 2010-09-06T06:54:55Z | - |
dc.date.available | 2010-09-06T06:54:55Z | - |
dc.date.issued | 2007 | en_HK |
dc.identifier.citation | Numerical Functional Analysis And Optimization, 2007, v. 28 n. 3-4, p. 467-485 | en_HK |
dc.identifier.issn | 0163-0563 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/73804 | - |
dc.description.abstract | This 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.language | eng | en_HK |
dc.publisher | Taylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/01630563.asp | en_HK |
dc.relation.ispartof | Numerical Functional Analysis and Optimization | en_HK |
dc.subject | Convergence | en_HK |
dc.subject | Decoupled OPF (DOPF) | en_HK |
dc.subject | Semismooth Gauss-Seidel method | en_HK |
dc.title | On the convergence of decoupled optimal power flow methods | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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+Methods | en_HK |
dc.identifier.email | Wu, FF: ffwu@eee.hku.hk | en_HK |
dc.identifier.authority | Wu, FF=rp00194 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1080/01630560701250135 | en_HK |
dc.identifier.scopus | eid_2-s2.0-34247634568 | en_HK |
dc.identifier.hkuros | 132717 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-34247634568&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 28 | en_HK |
dc.identifier.issue | 3-4 | en_HK |
dc.identifier.spage | 467 | en_HK |
dc.identifier.epage | 485 | en_HK |
dc.identifier.isi | WOS:000246077800012 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Tong, X=12242993600 | en_HK |
dc.identifier.scopusauthorid | Wu, FF=7403465107 | en_HK |
dc.identifier.scopusauthorid | Qi, L=7202149952 | en_HK |
dc.identifier.issnl | 0163-0563 | - |