DocumentCode
1500511
Title
Quantification of the chaotic behavior of ferroresonant voltage transformer circuits
Author
Emin, Zia ; Zahawi, Bashar A T Al ; Tong, Yu Kwong ; Ugur, Mukden
Author_Institution
Eng. Technol. Div., Nat. Grid Co., Leatherhead, UK
Volume
48
Issue
6
fYear
2001
fDate
6/1/2001 12:00:00 AM
Firstpage
757
Lastpage
760
Abstract
The chaotic response of a ferroresonant 275-kV electromagnetic voltage transformer circuit is quantified using fractal mathematics and geometry. Three fractal dimensions methods, capacity dimension, information dimension, and correlation dimension, were used to confirm the existence of chaotic ferroresonance, with all three methods giving noninteger dimension values
Keywords
chaos; ferroresonant circuits; fractals; potential transformers; capacity dimension; chaotic behavior; chaotic response; correlation dimension; electromagnetic voltage transformer circuit; ferroresonant voltage transformer circuits; fractal dimensions methods; fractal mathematics; information dimension; noninteger dimension values; Capacitance; Chaos; Circuit breakers; Ferroresonance; Fractals; Frequency; Geometry; Magnetization; Mathematics; Voltage transformers;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.928158
Filename
928158
Link To Document