Dynamics on ferroresonant circuit exhibiting chaotic phenomenon

Author

Endo, H. ; Marinova, I. ; Takagi, T. ; Hayano, S. ; Saito, Y.

Author_Institution

Inst. of Fluid Sci., Tohoku Univ., Sendai, Japan

Volume

40

Issue

2

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

868

Lastpage

871

Abstract

This paper studies dynamics of a series ferroresonant circuit. A Chua type magnetization model derives a state variable equation with nonlinear parameters. Backward Euler method with adaptive stepsize control performs a transient analysis. Modal analysis to the state variable equation is also carried out in each calculation period of the Euler method in order to obtain the condition of internal system. Finally, it is clarified that the characteristic values vary on the regular loci although the chaotic phenomenon is exhibiting. The relation between the time constants and operating frequencies is shown to clarify the ferroresonant mode.

Keywords

Chua´s circuit; ferroresonant circuits; magnetisation; transient analysis; Chua type magnetization model; adaptive stepsize control; backward Euler method; chaotic phenomenon; characteristic values; ferroresonant mode; modal analysis; nonlinear parameters; operating frequencies; regular loci; series ferroresonant circuit; state variable equation; time constants; transient analysis; Adaptive control; Chaos; Circuits; Ferroresonance; Magnetic variables control; Magnetization; Modal analysis; Nonlinear equations; Programmable control; Transient analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.825042

Filename

1284552