Improved methodologies for the calculation of critical eigenvalues in small signal stability analysis

Author

Angelidis, George ; Semlyen, Adam

Author_Institution

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

Volume

11

Issue

3

fYear

1996

fDate

8/1/1996 12:00:00 AM

Firstpage

1209

Lastpage

1217

Abstract

This paper presents improved and new methodologies for the calculation of critical eigenvalues in the small-signal stability analysis of large electric power systems. They augment the robustness and efficiency of existing methods and provide new alternatives. The procedures are implementations of Newton´s method, inverse power and Rayleigh quotient iterations, equipped with implicit deflation, and restarted Arnoldi with a locking mechanism and either shift-invert or semi-complex Cayley preconditioning. The various algorithms are compared and evaluated regarding convergence, performance and applicability

Keywords

eigenvalues and eigenfunctions; inverse problems; iterative methods; numerical stability; power system analysis computing; power system stability; software packages; Newton´s method; PEALS software; Rayleigh quotient iteration; a locking mechanism; applicability; computer simulation; convergence; critical eigenvalues; efficiency; implicit deflation; inverse power iteration; performance; power systems; restarted Arnoldi; robustness; semi-complex Cayley preconditioning; shift-invert preconditioning; small-signal stability analysis; Control systems; Convergence; Eigenvalues and eigenfunctions; Modal analysis; Power system analysis computing; Power system stability; Robustness; Signal analysis; Size control; Stability analysis;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.535592

Filename

535592