Ferroresonance in electrical systems

A.G. Macphee, S. McKee, R.R.S. Simpson

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2 Citations (Scopus)


A series-LCR circuit is one of the simplest circuits capable of exhibiting ferroresonance. A numerical simulation of such a circuit is constructed using the Preisach model of hysteresis to accurately represent the non-linear magnetic response of the inductor. Numerical data obtained from this simulation shows good agreement when compared to data from a laboratory-built experimental circuit. A bifurcation diagram is constructed to illustrate the coexistence of multiple solutions and the existence of period doubling.
Original languageEnglish
Pages (from-to)265-273
Number of pages8
JournalCOMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Issue number2
Publication statusPublished - 2002


  • Bifurcation
  • hysteresis
  • magnetic forces

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