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dc.contributor.authorSteeno, Gregory Seanen_US
dc.date.accessioned2014-03-14T21:18:29Z
dc.date.available2014-03-14T21:18:29Z
dc.date.issued1999-08-03en_US
dc.identifier.otheretd-090799-120831en_US
dc.identifier.urihttp://hdl.handle.net/10919/39305
dc.description.abstractThere is a growing interest in robust and nonparametric methods with engineering applications, due to the nature of the data. Here, we study two power systems engineering applications that employ or recommend robust and nonparametric methods; topology error identification and voltage calibration. Topology errors are a well-known, well-documented problem for utility companies. A topology error occurs when a line's status in a power network, whether active or deactive, is misclassified. This will lead to an incorrect Jacobian matrix used to estimate the unknown parameters of a network in a nonlinear regression model. We propose a solution using nonlinear regression techniques to identify the correct status of every line in the network by deriving a statistical model of the power flows and injections while employing Kirchhoff's Current Law. Simulation results on the IEEE-118 bus system showed that the methodology was able to detect where topology errors occurred as well as identify gross measurement errors. The Friedman Two-Way Analysis of Variance by Ranks test is advocated to calibrate voltage measurements at a bus in a power network. However, it was found that the Friedman test was only slightly more robust or resistant in the presence of discordant measurements than the classical F-test. The resistance of a statistical test is defined as the fraction of bad data necessary to switch a statistical conclusion. We mathematically derive the maximum resistance to rejection and to acceptance of the Friedman test, as well as the Brown-Mood test, and show that the Brown-Mood test has a higher maximum resistance to rejection and to acceptance than the Friedman test. In addition, we simulate the expected resistance to rejection and to acceptance of both tests and show that on average the Brown-Mood test is slightly more robust to rejection while on average the Friedman test is more robust to acceptance.en_US
dc.publisherVirginia Techen_US
dc.relation.haspartTitle2.pdfen_US
dc.relation.haspartVitae.pdfen_US
dc.relation.haspartAppendixC.pdfen_US
dc.relation.haspartAppendixB.pdfen_US
dc.relation.haspartChapter9.pdfen_US
dc.relation.haspartAppendixA.pdfen_US
dc.relation.haspartChapter8.pdfen_US
dc.relation.haspartAppendixD.pdfen_US
dc.relation.haspartAppendixE.pdfen_US
dc.relation.haspartTitle1.pdfen_US
dc.relation.haspartChapter7.pdfen_US
dc.relation.haspartChapter2.pdfen_US
dc.relation.haspartChapter6.pdfen_US
dc.relation.haspartBibliography.pdfen_US
dc.relation.haspartChapter5.pdfen_US
dc.relation.haspartChapter4.pdfen_US
dc.relation.haspartChapter1.pdfen_US
dc.relation.haspartChapter3.pdfen_US
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectTest Resistanceen_US
dc.subjectState Estimationen_US
dc.subjectRank Testsen_US
dc.subjectBrown-Mooden_US
dc.subjectFriedmanen_US
dc.titleRobust and Nonparametric Methods for Topology Error Identification and Voltage Calibration in Power Systems Engineeringen_US
dc.typeDissertationen_US
dc.contributor.departmentStatisticsen_US
dc.description.degreePh. D.en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineStatisticsen_US
dc.contributor.committeememberBirch, Jeffrey B.en_US
dc.contributor.committeememberTerrell, George R.en_US
dc.contributor.committeememberVanLandingham, Hugh F.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-090799-120831/en_US
dc.contributor.committeecochairMili, Lamine M.en_US
dc.contributor.committeecochairCoakley, Clint W.en_US
dc.date.sdate1999-09-07en_US
dc.date.rdate2000-10-13
dc.date.adate1999-10-13en_US


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