Macphee, A.G. and McKee, S. and Simpson, R.R.S.
(2002)
*Ferroresonance in electrical systems.*
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 21 (2).
pp. 265-273.
ISSN 0332-1649

## Abstract

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.

Item type: | Article |
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ID code: | 2077 |

Keywords: | Bifurcation, hysteresis, magnetic forces, Mathematics, Computational Theory and Mathematics, Applied Mathematics, Computer Science Applications, Electrical and Electronic Engineering |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics Faculty of Engineering > Electronic and Electrical Engineering |

Depositing user: | Strathprints Administrator |

Date Deposited: | 27 Jan 2007 |

Last modified: | 21 May 2015 08:23 |

URI: | http://strathprints.strath.ac.uk/id/eprint/2077 |

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