Title :
Refactored bi-iteration: a high performance eigensolution method for large power system matrices
Author :
Campagnolo, Jorge M. ; Martins, Nelson ; Falcão, Djalma NI
Author_Institution :
COPPE, Univ. Federal do Rio de Janeiro, Brazil
fDate :
8/1/1996 12:00:00 AM
Abstract :
Small-signal stability analysis of interconnected power systems involves the computation of many eigenvalues/eigenvectors of very large unsymmetric matrices. A new numerical linear algebra method for the partial eigensolution of large sparse matrices is described in this paper. The method converges to as many eigenvalues as the number of trial vectors utilized, in a reduced number of iterations. The results presented are limited to the study of low frequency oscillations in electrical power systems, but the proposed method is completely general
Keywords :
eigenvalues and eigenfunctions; iterative methods; matrix algebra; oscillations; power system interconnection; power system stability; sparse matrices; eigenvalues; eigenvectors; high performance eigensolution method; interconnected power systems; large power system matrices; low frequency oscillations; numerical linear algebra method; partial eigensolution; refactored bi-iteration; small-signal stability analysis; sparse matrices; trial vectors; unsymmetric matrices; Eigenvalues and eigenfunctions; Frequency; Linear algebra; Power system analysis computing; Power system interconnection; Power system stability; Power systems; Sparse matrices; Stability analysis; Vectors;
Journal_Title :
Power Systems, IEEE Transactions on
