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1 Poznan University of Technology Academic Journals. Electrical Engineering

1 2019

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Enhancing the possibilities in visualisation of the ferroresonance phenomenon

Klimas Maciej, Majka Łukasz

Poznan University of Technology Academic Journals. Electrical Engineering

2019

No. 98

115--124

Waveforms measured and recorded in a ferroresonant circuit are the base for many computations, including simulation of ferroresonance circuit over - current/voltage responses and modelling a nonlinear coil. During such a study of ferroresonance phenomenon, the time dependent nonlinear differential equations are derived from R – Ψ(i) – C ferroresonant circuit. The system of nonlinear equations is numerically solved using various algorithm applications. In applied mathematics, in particular the context of the nonlinear dynamical systems analysis, phase – plane/space graphs are a visual display of certain characteristics of kinds of differential equations. The aim of the paper is a full plane/space presentation of all possible states of a test circuit when the ferroresonance occurs. Poincare maps application is also mentioned in the paper.