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Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

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Ferroresonance in electrical systems

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

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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.