Modeling of nonlinear coil in a ferroresonant circuit

Miličević, Kruno; Lukačević, Igor; Flegar, Ivan

doi:10.1007/s00202-009-0117-y

Cited by 14 publications

(8 citation statements)

References 10 publications

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“…Possible reasons for the difference have been analysed in [9] and [15] thoroughly. Therefore, one of the identified drawbacks of the method is the prerequisite of sinusoidal source voltage used in the measurements.…”

Section: Dommel's Methodsmentioning

confidence: 99%

“…In this paper, Chua's model of the nonlinear coil in the ferroresonant circuit will be obtained using two methods: Dommel's method using RMS values measured at the coil [8,9] and a grey box modelling approach using the instantaneous values of state variables, which is a novel way to model the nonlinear coil in the ferroresonant circuit.…”

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%

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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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Section: Dommel's Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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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“…The FeD diagnostic system has been equipped with a simulation module used to model the nonlinear core coil. After a literature survey of many possible alternatives (as given in [66][67][68]) and basing on authors' personal experiences (various studies [9,10,17,18]), a fractional calculus model of the ferromagnetic coil has been chosen. From the field of fractional calculus, the Caputo fractional derivative is applied [69,70]:…”

Section: Simulation Modulementioning

confidence: 99%

Diagnostic approach in assessment of a ferroresonant circuit

Majka

Klimas

2019

Electr Eng

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This paper presents possibilities offered by a diagnostic system called FeD. The system is completely original; it has been developed by the authors on the basis of Arduino platform. The system has been designed to perform and record measurements and to carry out different numerical operations. The real-time function for several operations is incorporated in this system. The necessary input data for the system consist of the electrical voltage waveforms only. Rescaled voltage quantities can be displayed, measured, recorded or computed in any chosen way. The system has been developed particularly for measurements and computations in the ferroresonant circuits. The strongest part of the system is its versatility. It works with a standard PC and supports a universal connection (USB standard). This is undeniably a cost-wise solution. Driving and control of the system functions are carried out using the authors' original software implemented in SciLab environment. This is free software, similar to and compatible with other existing CAD programs such as Octave and MATLAB. The obtained data, scripts and results can be freely transferred between them. The program is equipped with a transparent GUI. The need of constructing a special system to diagnose the ferroresonant circuit has emerged during earlier ferroresonance analyses and computations. Every ferroresonant circuit requires specific kind of diagnostics to estimate and display its base features in order to determine the best scientific approach to the problem. The ferroresonance phenomenon belongs to the domain of nonlinear problems. Its analysis requires excellent skills in mathematics and physics as well as computer science. Moreover, this subject also requires specialized engineering knowledge, particularly in the field of power engineering and power system equipment. Modern mathematical models and analyses used in ferroresonant computations are quite accurate; however, in case of a common user, they are often difficult to understand or implement. This paper provides full description of construction, features and test results of the developed hardware/software system designed for diagnostics of ferroresonant circuits. The test circuit case study has been performed in the entire power supply range. Results of measurements and computations as well as screenshots captured from authors' original software are shown in different figures. The developed software and recorded data have been finally used in modeling and further simulations. During this, the application of the fractional derivative iron core coil model to ferroresonance analysis has been shown. The waveforms obtained from computer simulations have been compared with those obtained from measurements performed in the test circuit.

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“…The significance of the Dommel's method lies in the simplicity of measurements needed for the modelling. The applicability of the model and the neglected aspects are discussed in detail and analysed qualitatively and quantitatively in [14].…”

Section: Introductionmentioning

confidence: 99%