Efficient calculation of critical eigenvalue clusters in the small signal stability analysis of large power systems

Author

Angelidis, George ; Semlyen, Adam

Author_Institution

Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada

Volume

10

Issue

1

fYear

1995

fDate

2/1/1995 12:00:00 AM

Firstpage

427

Lastpage

432

Abstract

The paper presents a methodology for the calculation of a selected set of eigenvalues, considered critical in the small signal stability analysis of power systems. It analyzes several alternatives for refining a preliminary rough solution obtained by subspace iterations. These alternatives range from constant-matrix iterative refinement to Newton´s method. Due to an adaptive solution strategy, the overall algorithm is very robust. Newton´s method is much faster than existing approaches. The performance of these methods is demonstrated on several test systems

Keywords

Newton method; eigenvalues and eigenfunctions; power system analysis computing; power system stability; sparse matrices; Newton´s method; adaptive solution strategy; constant-matrix iterative refinement; critical eigenvalue clusters; large power systems; power system dynamics; preliminary rough solution refining; small signal stability analysis; sparse matrices; subspace iterations; Clustering algorithms; Eigenvalues and eigenfunctions; Equations; Iterative methods; Jacobian matrices; Power system analysis computing; Power system dynamics; Power system stability; Sparse matrices; Stability analysis;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.373967

Filename

373967