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Article: An auxiliary-variable-based direct method for computing quadratic turning bifurcation points of power flow equations

TitleAn auxiliary-variable-based direct method for computing quadratic turning bifurcation points of power flow equations
Authors
KeywordsContinuation power flow
Moore-Spence system
Power flow
Power system
Turning bifurcation
Issue Date2003
PublisherZhongguo Dianji Gongcheng Xuehui. The Journal's web site is located at http://www.dwjs.com.cn
Citation
Zhongguo Dianji Gongcheng Xuebao/Proceedings Of The Chinese Society Of Electrical Engineering, 2003, v. 23 n. 5, p. 9-13+169 How to Cite?
AbstractFor a given one-parameter power flow equation, the quadratic turning bifurcation is the simplest and generically existent bifurcation, where the Jacobian matrix of the equation becomes singular due to rank deficiency 1. To overcome the singularity of the Jacobian matrix, usual Newton method can be applied to the so-called Moore-Spence determining system to detect the quadratic turning point. But the Moore-Spence system has very high dimensionality and causes much complexity in factorization of its Jacobian matrix. By introducing an auxiliary variable and an auxiliary equation to form an extended Moore-Spence system, this paper derives an efficient matrix reduction technique. The high dimensionality of the Jacobian matrix can thus be reduced and the complexity involved in matrix factorization can be simplified.
Persistent Identifierhttp://hdl.handle.net/10722/73720
ISSN
2015 SCImago Journal Rankings: 0.881
References

 

DC FieldValueLanguage
dc.contributor.authorLiu, YQen_HK
dc.contributor.authorYan, Zen_HK
dc.contributor.authorNi, YXen_HK
dc.contributor.authorWu, Fen_HK
dc.date.accessioned2010-09-06T06:54:07Z-
dc.date.available2010-09-06T06:54:07Z-
dc.date.issued2003en_HK
dc.identifier.citationZhongguo Dianji Gongcheng Xuebao/Proceedings Of The Chinese Society Of Electrical Engineering, 2003, v. 23 n. 5, p. 9-13+169en_HK
dc.identifier.issn0258-8013en_HK
dc.identifier.urihttp://hdl.handle.net/10722/73720-
dc.description.abstractFor a given one-parameter power flow equation, the quadratic turning bifurcation is the simplest and generically existent bifurcation, where the Jacobian matrix of the equation becomes singular due to rank deficiency 1. To overcome the singularity of the Jacobian matrix, usual Newton method can be applied to the so-called Moore-Spence determining system to detect the quadratic turning point. But the Moore-Spence system has very high dimensionality and causes much complexity in factorization of its Jacobian matrix. By introducing an auxiliary variable and an auxiliary equation to form an extended Moore-Spence system, this paper derives an efficient matrix reduction technique. The high dimensionality of the Jacobian matrix can thus be reduced and the complexity involved in matrix factorization can be simplified.en_HK
dc.languageengen_HK
dc.publisherZhongguo Dianji Gongcheng Xuehui. The Journal's web site is located at http://www.dwjs.com.cnen_HK
dc.relation.ispartofZhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineeringen_HK
dc.subjectContinuation power flowen_HK
dc.subjectMoore-Spence systemen_HK
dc.subjectPower flowen_HK
dc.subjectPower systemen_HK
dc.subjectTurning bifurcationen_HK
dc.titleAn auxiliary-variable-based direct method for computing quadratic turning bifurcation points of power flow equationsen_HK
dc.typeArticleen_HK
dc.identifier.emailNi, YX: yxni@eee.hku.hken_HK
dc.identifier.emailWu, F: ffwu@eee.hku.hken_HK
dc.identifier.authorityNi, YX=rp00161en_HK
dc.identifier.authorityWu, F=rp00194en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0041827115en_HK
dc.identifier.hkuros83262en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0041827115&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume23en_HK
dc.identifier.issue5en_HK
dc.identifier.spage9en_HK
dc.identifier.epage13+169en_HK
dc.publisher.placeChinaen_HK
dc.identifier.scopusauthoridLiu, YQ=36063298600en_HK
dc.identifier.scopusauthoridYan, Z=7402519416en_HK
dc.identifier.scopusauthoridNi, YX=7402910021en_HK
dc.identifier.scopusauthoridWu, F=7403465107en_HK

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