Time‐domain homogenization of multiturn windings based on <i>RL</i> Cauer ladder networks

Niyomsatian, Korawich; Gyselinck, Johan; Sabariego, Ruth V.

doi:10.1002/jnm.2649

Cited by 5 publications

(9 citation statements)

References 24 publications

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“…However, an excellent agreement might be achieved with a rather low order of approximation, since the frequency-dependent curves describing the equivalent properties (reluctivity and impendace) are always smooth as in Figs. 2 and 3 [7], [13], [14]. Regarding the adopted RC scheme, it has been proved that the scheme is convergent independently of the time-step size; even if the accuracy of the solution depends on the selection of the time step, a matching solution by RC has always been obtained [21].…”

Section: A Model Performancementioning

confidence: 99%

“…A second test case is considered to compare the proposed approach to the one in [13], [14], where the frequencydependent parameters are approximated with RL Cauer networks instead (see Appendix A). To that end, we consider the 120-turn axisymmetric inductor shown in Fig.…”

Section: B Comparison With An Rl Cauer Approachmentioning

confidence: 99%

“…In the frequency domain, such effects can be added by means of complex frequency-dependent parameters: reluctivity and impedance, which may be obtained analytically [7], semianalytically [8] or by using an elementary FE model [9], [10], [11], [12]. Thereon, a time-domain extension, proposed in [13], [14], associates the frequency-dependent coefficients to RL Cauer networks and translates them to the time domain as real constants linked to differential equations, thanks to the inclusion of additional unknowns (flux densities in the homogenized winding and currents in the supply circuit).…”

Section: Introductionmentioning

confidence: 99%

“…By way of validation, a 2-D 256-turn inductor is considered, for which a fine FE model provides an accurate reference solution. Furthermore, the proposed approach is compared to the use of an RL Cauer network as in [13], [14].…”

Section: Introductionmentioning

confidence: 99%

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Time-Domain Finite-Element Eddy-Current Homogenization of Windings Using Foster Networks and Recursive Convolution

Valdivieso

Meunier²,

Ramdane³

et al. 2020

IEEE Trans. Magn.

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In this paper, we propose an alternative time-domain approach for the homogenization of multiturn windings with frequencydependent parameters in finite-element (FE) models. First, an elementary 2-D FE characterization of the conductors is carried out over the frequency range of interest to obtain the frequency-dependent parameters and account for the eddy-current effects in the winding. These complex coefficients are subsequently associated to an equivalent Foster network and translated into the time domain via the inverse Laplace transform. The resulting time-domain equations are solved with a recursive convolution scheme. No extra degrees of freedom are required in the homogenized winding. The results of the homogenized model present an excellent agreement with those obtained by an accurate but expensive FE model in which all turns are explicitly discretized. The proposed approach is further compared to a previously developed time-domain homogenization technique based on RL Cauer networks.

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Section: A Model Performancementioning

confidence: 99%

Section: B Comparison With An Rl Cauer Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Time-Domain Finite-Element Eddy-Current Homogenization of Windings Using Foster Networks and Recursive Convolution

Valdivieso

Meunier²,

Ramdane³

et al. 2020

IEEE Trans. Magn.

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“…The method is extended to the time domain in [16] and further improved using an RL Cauer network, i.e. comprising resistances and inductances in [17].…”

Section: Introductionmentioning

confidence: 99%

Closed‐form complex permeability expression for proximity‐effect homogenisation of litz‐wire windings

Niyomsatian

Gyselinck

Sabariego

2020

IET Science, Measurement & Technology

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The eddy-current losses in litz-wire windings are mostly due to the proximity effect, which can be macroscopically modelled via a complex frequency-dependent permeability. In this study, the authors propose a new closed-form expression for this complex permeability. Results are compared with approximations found in the literature in a wide-frequency range. For the sake of validation, a two-dimensional)-axisymmetric gapped transformer with litz-wire primary and secondary coils is studied.

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Special Issue: The 11th International Symposium on Electric and Magnetic Fields (EMF 2018)

Gersem

Kurz

Schöps

et al. 2020

Int J Numerical Modelling

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On behalf of the Editorial Board, we are pleased to present a selection of papers related to the 11th International Symposium on Electric and Magnetic Fields (EMF 2018) held in Darmstadt, Germany, on 10-12 April, 2018.The EMF Symposium series, whose first edition was held in Liège, Belgium, in 1992, aims at building a bridge between recent research advances in mathematical and numerical modelling of electromagnetic fields and the growing number of industrial problems requiring such techniques. The 11th edition was organized by the Institute for Accelerator Science and Electromagnetic Fields and the Centre for Computational Engineering of the Technische Universität Darmstadt, and attracted 95 participants from 19 countries.Among the 84 presentations in the symposium program, 31 manuscripts were submitted for peer review. Fourteen papers were selected for publication in this special issue of the International Journal of Numerical Modelling: Electronic Networks, Devices and Fields. The high scientific and technical quality of the Symposium is well reflected in the quality of the manuscripts contained in this special issue.Four broad topics were covered during the 11th edition of the symposium.The first major topic considers the mathematical modelling of electromagnetic problems in view of their eventual numerical solution on computers, with contributions on the coupling of finite element and multipole methods, 1 boundary element methods, 2 inversion methods 3 and electromagnetic transformation laws. 4 The second major topic treats the numerical modelling of the electromagnetic behaviour of electric and magnetic materials, with contributions on the modelling of magnetoelectric composites 5 and magnetic hysteresis. 6,7 The third major topic concerns homogenization and reduced order models, with contributions to the time-domain homogenization of windings, 8 extraction of capacitance matrices 9 and lumped element modelling. 10 The fourth major topic concerns application-specific numerical techniques, with contributions to the modelling of synchronous reluctance machines, 11 graded surge arresters, 12 high voltage power cables 13 and DC-AC power converters. 14 We express our gratitude to all the members of the EMF scientific committee-P.

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Time‐domain homogenization of multiturn windings based on RL Cauer ladder networks

Cited by 5 publications

References 24 publications

Time-Domain Finite-Element Eddy-Current Homogenization of Windings Using Foster Networks and Recursive Convolution

Time-Domain Finite-Element Eddy-Current Homogenization of Windings Using Foster Networks and Recursive Convolution

Closed‐form complex permeability expression for proximity‐effect homogenisation of litz‐wire windings

Special Issue: The 11th International Symposium on Electric and Magnetic Fields (EMF 2018)

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