Invariant subspace method for eigenvalue computation

Author

Stadnicki, D.J. ; Van Ness, J.E.

Author_Institution

ESCA Corp., Bellevue, WA, USA

Volume

8

Issue

2

fYear

1993

fDate

5/1/1993 12:00:00 AM

Firstpage

572

Lastpage

580

Abstract

Methods which first subdivide a large power system into subsystems, and which then study how the interactions between subsystems cause the eigenvalues and eigenvectors to vary between the subsystems and the total system are presented. The invariant subspace method, which allows eigenvalues that are difficult to study individually to be grouped into a subspace which can be handled quite efficiently, is described. The way in which the method allows the local and global subsystem eigenvalues to be identified is also described. The greatest change occurs in the global eigenvalues, those which influence the response of more than one of the subsystems. These eigenvalues are of particular interest as they are the type that could cause interarea oscillations

Keywords

eigenvalues and eigenfunctions; oscillations; power system interconnection; power system stability; eigenvalues; eigenvectors; interarea oscillations; invariant subspace method; power system interconnection; response; Costs; Eigenvalues and eigenfunctions; Frequency; Humans; Libraries; Nonlinear dynamical systems; Nonlinear equations; Power system dynamics; Power system stability; Resonance;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.260825

Filename

260825