Computing dominant poles of power system transfer functions

Author

Martins, Nelson ; Lima, Leonard0 T G ; Pinto, Herminio J C P

Author_Institution

CEPEL, Rio de Janeiro, Brazil

Volume

11

Issue

1

fYear

1996

fDate

2/1/1996 12:00:00 AM

Firstpage

162

Lastpage

170

Abstract

This paper describes the first algorithm to efficiently compute the dominant poles of any specified high order transfer function. As the method is closely related to Rayleigh iteration (generalized Rayleigh quotient), it retains the numerical properties of global and ultimately cubic convergence. The results presented are limited to the study of low frequency oscillations in electrical power systems, but the algorithm is completely general

Keywords

convergence of numerical methods; eigenvalues and eigenfunctions; poles and zeros; power system control; power system stability; transfer functions; Rayleigh iteration; cubic convergence; dominant poles computation; generalized Rayleigh quotient; global convergence; high order transfer function; low frequency oscillations; poorly damped oscillations; power system transfer functions; small signal stability; sparse eigenvalues; Eigenvalues and eigenfunctions; Frequency; Power engineering computing; Power system analysis computing; Power system control; Power system dynamics; Power system modeling; Power system stability; Power systems; Transfer functions;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.486093

Filename

486093