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
fDate :
6/1/2001 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
