Bifurcation analysis of three-phase ferroresonant oscillations in ungrounded power systems

Author

Van Craenenbroeck, T. ; Michiels, W. ; Van Dommelen, D. ; Lust, K.

Author_Institution

Dept. of Electr. Eng., Katholieke Univ., Leuven, Belgium

Volume

14

Issue

2

fYear

1999

fDate

4/1/1999 12:00:00 AM

Firstpage

531

Lastpage

536

Abstract

The study of power networks prone to ferroresonant oscillations by means of simulation turns out to be a tedious task. Therefore, a direct calculation of the stability domains of the various oscillation modes is preferable. In this paper, the software package AUTO is used to determine the periodic solutions of the differential equations describing a typical three-phase network in which ferroresonance has occurred. A small modification of the system equations is introduced to approximate the quasi-periodic oscillations by periodic ones, without major impact on the position of the stability domains. Finally, an example of the automated dimensioning of a damping circuit using a continuation scheme is presented

Keywords

bifurcation; damping; differential equations; ferroresonance; oscillations; power system analysis computing; power system stability; AUTO software package; automated dimensioning; bifurcation analysis; damping circuit; differential equations; periodic oscillations; periodic solutions; power networks; quasi-periodic oscillations; simulation; stability domains calculation; stability domains position; three-phase ferroresonant oscillations; three-phase network; ungrounded power systems; Bifurcation; Capacitance; Circuits; Differential equations; Ferroresonance; Intelligent networks; Load flow; Load flow analysis; Stability; Voltage transformers;

fLanguage

English

Journal_Title

Power Delivery, IEEE Transactions on

Publisher

ieee

ISSN

0885-8977

Type

jour

DOI

10.1109/61.754099

Filename

754099