Solution of eigenproblems for state-space transient analysis of transmission lines

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dc.authoridKoksal, Muhammet/0000-0002-2663-9115
dc.authoridMAMIS, MEHMET SALIH/0000-0002-6562-0839
dc.authorwosidMamis, Mehmet/AAC-3247-2019
dc.authorwosidKoksal, Muhammet/ABI-8271-2020
dc.contributor.authorMamis, MS
dc.contributor.authorKöksal, M
dc.date.accessioned2024-08-04T20:13:30Z
dc.date.available2024-08-04T20:13:30Z
dc.date.issued2000
dc.departmentİnönü Üniversitesien_US
dc.description.abstractWhen lumped parameter models are used for transmission lines, which are originally distributed parameter systems, the set of first order ordinary differential equations (ODEs) of the lumped parameter equivalent circuit can be arranged so that the coefficient matrix is in the tridiagonal form. In the circuit theory, these equations are called as state-equations and in the analytical solution of these equations computation of matrix exponential takes an important part. One way to calculate the matrix exponentials and other matrix functions is to use similarity transformations, which requires eigenanalysis of the coefficient matrix. In this study, state-space technique for computation of transmission line transients is given. Calculation of matrix exponentials for coefficient matrices having tridiagonal structures and eigenproblems associated with it are investigated. QR algorithm, LR algorithm and characteristic equation method for eigenvalue calculation are treated for this type of matrices in both accuracy and computer run time point of views. Several cases are considered and effect of matrix dimension and ill-conditions are also examined. (C) 2000 Elsevier Science S.A. All rights reserved.en_US
dc.identifier.doi10.1016/S0378-7796(99)00092-9
dc.identifier.endpage14en_US
dc.identifier.issn0378-7796
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-0342484433en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage7en_US
dc.identifier.urihttps://doi.org/10.1016/S0378-7796(99)00092-9
dc.identifier.urihttps://hdl.handle.net/11616/93662
dc.identifier.volume55en_US
dc.identifier.wosWOS:000087507900002en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Saen_US
dc.relation.ispartofElectric Power Systems Researchen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectstate-space techniqueen_US
dc.subjecteigenproblemsen_US
dc.subjecttransmission lineen_US
dc.subjecttransient analysisen_US
dc.titleSolution of eigenproblems for state-space transient analysis of transmission linesen_US
dc.typeArticleen_US

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