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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.

Applying a fractional coil model for power system ferroresonance analysis

Majka Ł.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2018

Vol. 66, nr 4

467--474

This paper addresses the problem of modeling the nonlinear coil used for ferroresonant circuit analysis. The effect of ferroresonance is described and a general modeling approach is presented. The hysteresis modeling problem is also shortly discussed, on the example of a ferromagnetic coil. A brief overview of available literature and contributors to this area are provided. A series RLC circuit supplied from an AC source is discussed. The application of the fractional derivative in the modeling of an iron core coil is presented and suggestions of model implementations are given. The computations performed are illustrated by means of waveform data obtained from computer simulations and compared with those obtained from measurements performed in a specially prepared laboratory setup.