Ferroresonance in electrical systems

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

doi:10.1108/03321640210416359

Ferroresonance in electrical systems

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

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	265-273
Number of pages	8
Journal	COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Volume	21
Issue number	2
DOIs	https://doi.org/10.1108/03321640210416359
Publication status	Published - 2002

Keywords

Bifurcation
hysteresis
magnetic forces

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10.1108/03321640210416359

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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.",

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AU - McKee, S.

AU - Simpson, R.R.S.

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AB - 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.

KW - Bifurcation

KW - hysteresis

KW - magnetic forces

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DO - 10.1108/03321640210416359

M3 - Article

SN - 0332-1649

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JO - COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

JF - COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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ER -

Ferroresonance in electrical systems

Abstract

Keywords

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