1982
DOI: 10.1109/tcs.1982.1085091
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Steady-State Security Regions of Power Systems

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Cited by 205 publications
(114 citation statements)
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“…Various conditions have been proposed to quantify this trade-off for sparse graphs, both in theoretical studies as well as in power network applications. The coupling is typically quantified by the algebraic connectivity λ 2 (L) (Wu and Kumagai, 1980;Pecora and Carroll, 1998;Nishikawa et al, 2003;Jadbabaie et al, 2004;Restrepo et al, 2005;Boccaletti et al, 2006;Arenas et al, 2008;Dörfler and Bullo, 2012b;Motter et al, 2013), the weighted nodal degree deg i = n j=1 a ij (Wu and Kumagai, 1982;Korniss et al, 2006;Gómez-Gardeñes et al, 2007;Buzna et al, 2009;Bullo, 2012b, 2013a;Skardal et al, 2013), or various metrics related to the notion of effective resistance (Wu and Kumagai, 1982;Korniss et al, 2006;Dörfler and Bullo, 2013a). The frequency dissimilarity is quantified either by absolute norms ω p or by incremental norms 11 B T ω p , for p ∈ N. Here, we specifically consider the three incremental norms:…”
Section: Survey Of Synchronization Metrics and Conditionsmentioning
confidence: 99%
“…Various conditions have been proposed to quantify this trade-off for sparse graphs, both in theoretical studies as well as in power network applications. The coupling is typically quantified by the algebraic connectivity λ 2 (L) (Wu and Kumagai, 1980;Pecora and Carroll, 1998;Nishikawa et al, 2003;Jadbabaie et al, 2004;Restrepo et al, 2005;Boccaletti et al, 2006;Arenas et al, 2008;Dörfler and Bullo, 2012b;Motter et al, 2013), the weighted nodal degree deg i = n j=1 a ij (Wu and Kumagai, 1982;Korniss et al, 2006;Gómez-Gardeñes et al, 2007;Buzna et al, 2009;Bullo, 2012b, 2013a;Skardal et al, 2013), or various metrics related to the notion of effective resistance (Wu and Kumagai, 1982;Korniss et al, 2006;Dörfler and Bullo, 2013a). The frequency dissimilarity is quantified either by absolute norms ω p or by incremental norms 11 B T ω p , for p ∈ N. Here, we specifically consider the three incremental norms:…”
Section: Survey Of Synchronization Metrics and Conditionsmentioning
confidence: 99%
“…The concept of DSSR originates from security region of transmission system [19]. The 'region' method can give systematic and global information about the feasible operation region, which has convinced advantages over the 'point-wise' method.…”
Section: Dssr Theory For Distribution Networkmentioning
confidence: 99%
“…With the work done in [4][5][6][7], quite a few contribution from the research of this boundary can be summarized as follows. As the pioneer presenting the conception of voltage stability boundary, Felix Wu advocated the steady-state security boundary for the first time and defined it as hyper boxes in the power injection space to reflect the operation state of the transmission line power flow, the node voltage and the generator constraints [4]. Along with the development of voltage stability boundary, Ian Dobson further demonstrated that the steady-state voltage boundary was to be depicted as a curved surface consisted of bifurcation points [5].…”
Section: Introductionmentioning
confidence: 99%