Stability domain calculations of period-1 ferroresonance in a nonlinear resonant circuit

Author

Jacobson, David A N ; Lehn, Peter W. ; Menzies, Robert W.

Author_Institution

Syst. Planning Dept., Manitoba Hydro, Winnipeg, Man., Canada

Volume

17

Issue

3

fYear

2002

fDate

7/1/2002 12:00:00 AM

Firstpage

865

Lastpage

871

Abstract

Catastrophic equipment failures continue to occur today due to ferroresonance even though this phenomenon has been extensively studied over the past 90 years. This paper is concerned with comparing analytical nonlinear dynamics methods with a two-dimensional (2-D) brute-force bifurcation diagram for displaying safety margins in a 2-D parameter space. A simplified single-phase model is used to represent the case of ferroresonance between a transformer and circuit breaker grading capacitor. Comparisons are made between the analytical method and EMTP simulations of an actual ferroresonant event.

Keywords

EMTP; bifurcation; circuit breakers; equivalent circuits; ferroresonance; nonlinear dynamical systems; power systems; power transformers; 2-D parameter space; EMTP simulations; analytical nonlinear dynamics methods; approximation methods; capacitors; catastrophic equipment failures; circuit breaker grading capacitor; ferroresonant event; nonlinear resonant circuit; period-1 ferroresonance; power system modeling; power system transients; safety margins; separatrix calculation; single-phase model; stability domain calculations; transformer; two-dimensional brute-force bifurcation diagram; Bifurcation; Capacitors; Circuit breakers; Circuit stability; EMTP; Equipment failure; Ferroresonance; RLC circuits; Safety; Two dimensional displays;

fLanguage

English

Journal_Title

Power Delivery, IEEE Transactions on

Publisher

ieee

ISSN

0885-8977

Type

jour

DOI

10.1109/TPWRD.2002.1022816

Filename

1022816