Identifying ferroresonance initiation for a range of initial conditions and parameters

Miličević, Kruno; Vinko, Davor; Emin, Z.

doi:10.1007/s11071-011-9948-y

Cited by 20 publications

(5 citation statements)

References 9 publications

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“…Profound experience earned in numerous previous studies [48,50,55,[59][60][61][62] has allowed to narrow down the class of the considered models. A model, which is often considered up-to-date and one of the easiest in its implementation, is the classical model, comprising of a parallel connection between a resistor and a nonlinear coil [63,64]. For simpler reference-this model is further on called the RL N model.…”

Section: Investigated Modelsmentioning

confidence: 99%

Ferromagnetic core coil hysteresis modeling using fractional derivatives

Sowa

Majka

2020

Nonlinear Dyn

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The modeling of a ferromagnetic core coil magnetic hysteresis has been considered. The measurement basis consisted of waveforms that have been recorded for various levels of the iron core saturation levels. The investigated models included classical cases as well as models including a nonlinear fractional coil. The possibilities of solutions for transient problems including such models have been recalled. The details of the estimation process have been described next, where each model evaluation made use of an original methodology dealing with periodic steady states. The influence of the model response on parameter changes has also been studied. Further on the parameter estimation procedure has been described, and the results for the various models have been presented.

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Section: Investigated Modelsmentioning

confidence: 99%

Ferromagnetic core coil hysteresis modeling using fractional derivatives

Sowa

Majka

2020

Nonlinear Dyn

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“…Since ferroresonance is a nonlinear phenomenon, the conditions with which the phenomenon is initiated will have a significant impact; therefore, residual fluxes, initial capacitance voltages, angles of sources and switches cannot be neglected, see [21], [22]. The latter aspect was analyzed in [2] by varying the switch angle and the phase shift of the source.…”

Section: Characterization and Simulation Of Ferroresonancementioning

confidence: 99%

Generation of Bifurcation Diagrams for Ferroresonance Characterization Using Parallel Computing

Corea‐Araujo¹,

Guerra²,

Martínez-Velasco³

et al. 2017

Balkan Journal of Electrical and Computer Engineering

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Ferroresonance is a complex phenomenon that involves the association of nonlinear magnetizing inductances and capacitances. This nonlinear phenomenon can be initiated in many different ways, which makes its characterization very difficult. Some recent works have shown how bifurcation diagrams can be advantageously used for predicting the phenomenon at its different stages and finding safety zones for parameter selection. The present work expands the scope of some tools originally developed for assessing ferroresonance behavior by means of 3D bifurcation diagrams. The main goal of this work is to propose the application of parallel computing to speed up the generation of bifurcation diagrams.

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“…Changing the value of a selected parameter of the circuit can generate several steady-state responses: monoharmonic, odd higher harmonic, higher harmonic, subharmonic, quasiperiodic and chaotic steady-state response [2][3][4][5]. From an engineering point of view, it is important to predict the bifurcation points, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…Chua's model shown in Fig. 1 is the favoured model in ferroresonance research [1][2][3][4][5][8][9][10] and in electrical engineering in general, because it is built using basic elements defined by circuit theory [11]. However, the circuit theory does not take into an account the geometry of components which could be analysed using statistical methods as presented in [12].…”

Section: Introductionmentioning

confidence: 99%

Chua’s model of nonlinear coil in a ferroresonant circuit obtained using Dommel’s method and grey box modelling approach

2016

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Chua's model of the nonlinear coil is often used in ferroresonance research. In this paper, two methods are used to determine such a model: usual Dommel's method and a grey box modelling approach, which is a novel way to model the nonlinear coil in a ferroresonant circuit. The parameters of the grey box model are determined by nonlinear regression using a metaheuristic optimization algorithm. The obtained models are evaluated by comparing the steady-state types obtained by measurements with those obtained using simulation. Comparing the obtained Chua's models, results indicate that the grey box modelling approach is more accurate than Dommel's method for lower coil nominal voltage. However, the main conclusion is that Chua's model in general cannot be used to predict all steady-state types typical for ferroresonance, i.e. it can be used in a highly restricted manner for appearance of certain steady-state types only.

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Identifying ferroresonance initiation for a range of initial conditions and parameters

Cited by 20 publications

References 9 publications

Ferromagnetic core coil hysteresis modeling using fractional derivatives

Ferromagnetic core coil hysteresis modeling using fractional derivatives

Generation of Bifurcation Diagrams for Ferroresonance Characterization Using Parallel Computing

Chua’s model of nonlinear coil in a ferroresonant circuit obtained using Dommel’s method and grey box modelling approach

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