• 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