The PMU placement problem

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dc.contributor.authorBrueni, Dennis J.en
dc.contributor.authorHeath, Lenwood S.en
dc.contributor.departmentMathematicsen
dc.date.accessed2014-05-27en
dc.date.accessioned2014-05-28T18:35:03Zen
dc.date.available2014-05-28T18:35:03Zen
dc.date.issued2005en
dc.description.abstractPMU placement problem is an optimization problem abstracted from an approach to supervising an electrical power system. The power system is modeled as a graph, and adequate supervision of the system requires that the voltage at each node and the current through each edge be observable. A phasor measurement unit ( PMU) is a monitor that can be placed at a node to directly observe the voltage at that node, as well as the current and its phase through all incident edges. The PMU placement problem is to place PMUs at a minimum number of nodes so that the entire electric power system is observed. A new simpler definition of graph observability and several complexity results for the PMU placement problem are presented. The PMU placement problem is shown to be NP-complete even for planar bipartite graphs. Several fundamental properties of PMU placements are proven, including the property that a minimum PMU placement requires no more than 1/3 of the nodes in a connected graph of at least 3 nodes.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationBrueni, D. J.; Heath, L. S., "The PMU placement problem," SIAM J. Discrete Math., 19(3), 744-761, (2005). DOI: 10.1137/s0895480103432556en
dc.identifier.doihttps://doi.org/10.1137/s0895480103432556en
dc.identifier.issn0895-4801en
dc.identifier.urihttp://hdl.handle.net/10919/48139en
dc.identifier.urlhttp://epubs.siam.org/doi/abs/10.1137/S0895480103432556en
dc.language.isoenen
dc.publisherSiam Publicationsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectphasor measurement uniten
dc.subjectpower system graph observabilityen
dc.subjectdominationen
dc.subjectelectric power monitoringen
dc.subjectnp-completenessen
dc.subjectsynchronized phasor measurementsen
dc.subjectfault detection/location techniqueen
dc.subjecttransmission-linesen
dc.subjectstate estimationen
dc.subjectpower-systemsen
dc.subjectlocation algorithmen
dc.subjectmeasurement unitsen
dc.subjectobservabilityen
dc.subjectpredictionen
dc.subjectprotectionen
dc.subjectmathematics, applieden
dc.titleThe PMU placement problemen
dc.title.serialSiam Journal on Discrete Mathematicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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