Solution of eigenproblems for state-space transient analysis of transmission lines
Küçük Resim Yok
Tarih
2000
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Sa
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
When 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.
Açıklama
Anahtar Kelimeler
state-space technique, eigenproblems, transmission line, transient analysis
Kaynak
Electric Power Systems Research
WoS Q Değeri
Q4
Scopus Q Değeri
Q1
Cilt
55
Sayı
1
