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Article: An auxiliaryvariablebased direct method for computing quadratic turning bifurcation points of power flow equations
Title  An auxiliaryvariablebased direct method for computing quadratic turning bifurcation points of power flow equations 

Authors  
Keywords  Continuation power flow MooreSpence system Power flow Power system Turning bifurcation 
Issue Date  2003 
Publisher  Zhongguo 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. 913+169 How to Cite? 
Abstract  For a given oneparameter 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 socalled MooreSpence determining system to detect the quadratic turning point. But the MooreSpence 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 MooreSpence 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 Identifier  http://hdl.handle.net/10722/73720 
ISSN  2015 SCImago Journal Rankings: 0.881 
References 
DC Field  Value  Language 

dc.contributor.author  Liu, YQ  en_HK 
dc.contributor.author  Yan, Z  en_HK 
dc.contributor.author  Ni, YX  en_HK 
dc.contributor.author  Wu, F  en_HK 
dc.date.accessioned  20100906T06:54:07Z   
dc.date.available  20100906T06:54:07Z   
dc.date.issued  2003  en_HK 
dc.identifier.citation  Zhongguo Dianji Gongcheng Xuebao/Proceedings Of The Chinese Society Of Electrical Engineering, 2003, v. 23 n. 5, p. 913+169  en_HK 
dc.identifier.issn  02588013  en_HK 
dc.identifier.uri  http://hdl.handle.net/10722/73720   
dc.description.abstract  For a given oneparameter 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 socalled MooreSpence determining system to detect the quadratic turning point. But the MooreSpence 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 MooreSpence 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.language  eng  en_HK 
dc.publisher  Zhongguo Dianji Gongcheng Xuehui. The Journal's web site is located at http://www.dwjs.com.cn  en_HK 
dc.relation.ispartof  Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering  en_HK 
dc.subject  Continuation power flow  en_HK 
dc.subject  MooreSpence system  en_HK 
dc.subject  Power flow  en_HK 
dc.subject  Power system  en_HK 
dc.subject  Turning bifurcation  en_HK 
dc.title  An auxiliaryvariablebased direct method for computing quadratic turning bifurcation points of power flow equations  en_HK 
dc.type  Article  en_HK 
dc.identifier.email  Ni, YX: yxni@eee.hku.hk  en_HK 
dc.identifier.email  Wu, F: ffwu@eee.hku.hk  en_HK 
dc.identifier.authority  Ni, YX=rp00161  en_HK 
dc.identifier.authority  Wu, F=rp00194  en_HK 
dc.description.nature  link_to_subscribed_fulltext   
dc.identifier.scopus  eid_2s2.00041827115  en_HK 
dc.identifier.hkuros  83262  en_HK 
dc.relation.references  http://www.scopus.com/mlt/select.url?eid=2s2.00041827115&selection=ref&src=s&origin=recordpage  en_HK 
dc.identifier.volume  23  en_HK 
dc.identifier.issue  5  en_HK 
dc.identifier.spage  9  en_HK 
dc.identifier.epage  13+169  en_HK 
dc.publisher.place  China  en_HK 
dc.identifier.scopusauthorid  Liu, YQ=36063298600  en_HK 
dc.identifier.scopusauthorid  Yan, Z=7402519416  en_HK 
dc.identifier.scopusauthorid  Ni, YX=7402910021  en_HK 
dc.identifier.scopusauthorid  Wu, F=7403465107  en_HK 