A numerical algorithm for observability analysis based on Gram matrix

Korres, GN

dc.contributor.author	Korres, GN	en
dc.date.accessioned	2014-03-01T02:52:33Z
dc.date.available	2014-03-01T02:52:33Z
dc.date.issued	2010	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35925
dc.subject	Gram matrix	en
dc.subject	Measurement placement	en
dc.subject	Observability analysis	en
dc.subject	Observable islands	en
dc.subject	Reduced jacobian	en
dc.subject.other	Gram matrices	en
dc.subject.other	Jacobians	en
dc.subject.other	Measurement placement	en
dc.subject.other	Observability analysis	en
dc.subject.other	Observable islands	en
dc.subject.other	Algorithms	en
dc.subject.other	Energy conversion	en
dc.subject.other	Factorization	en
dc.subject.other	Numerical methods	en
dc.subject.other	Observability	en
dc.subject.other	Jacobian matrices	en
dc.title	A numerical algorithm for observability analysis based on Gram matrix	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1049/cp.2010.0873	en
heal.identifier.secondary	http://dx.doi.org/10.1049/cp.2010.0873	en
heal.publicationDate	2010	en
heal.abstract	This paper presents an efficient numerical method for observability analysis based on the triangular factorization of a Gram matrix corresponding to a reduced size Jacobian matrix. The observable islands are identified in a noniterative manner, by performing back substitutions on the triangular factors of a Gram matrix, associated with the flow islands, which are the connected portions of the network formed by the flow-measured branches. The additional measurements for placement are provided by a direct method, using the triangular factors of the Gram matrix associated with the observable islands. Implementation of the proposed method needs little additional effort, since it uses sparse triangular factorization and forward/backward substitution algorithms common to state estimators. The IEEE 14-bus system is used to illustrate the steps of the proposed method.	en
heal.journalName	IET Conference Publications	en
dc.identifier.doi	10.1049/cp.2010.0873	en
dc.identifier.volume	2010	en
dc.identifier.issue	572 CP	en