A numerical algorithm for observability analysis based on Gram matrix

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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

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