Thin-Wire Integral Equation Formulation With Quasistatic Darwin Approximation

Bingler, Arnold; Bilicz, Sándor; Csörnyei, Márk; Badics, Z.

doi:10.1109/tmag.2021.3064912

Cited by 3 publications

(8 citation statements)

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“…The SA approach shown here can be applied to any electromagnetic blackbox model, e.g. to the whole CE chain extended with an electromagnetic interference filter and the LISN (Bingler et al , 2021), while the IE model is especially advantageous for thin-wire structures (e.g. WPT systems) and can be used for PEEC formulations (Ruehli et al , 2003) using the new Green’s functions.…”

Section: Discussionmentioning

confidence: 99%

“…By adjusting the permittivity values of the layers to match our original problem (Figure 6), we obtain the sought Green’s function (Bingler et al , 2021): …”

Section: Treating the Inhomogeneitiesmentioning

confidence: 99%

“…The boundary condition concerning the magnetic Green’s function can be satisfied if every current segment (current dipole) I(r′)dl′ is supplemented with an additional image current dipole I′(r″)dl″ placed at the reflection point: but with opposite direction, i.e. : holds (Bingler et al , 2021). The contributions to the magnetic vector potential coming from the original and the image currents cancel out each other everywhere at the surface of the metal plate.…”

Section: Treating the Inhomogeneitiesmentioning

confidence: 99%

“…and Ohm’s law: we obtain an integro-differential equation system (3)–(8) to be solved (Bingler et al , 2021). Calculating the per unit length impedance z ( ω ) generally involves an eddy-current problem.…”

Section: Darwin Integral Equation Formalismmentioning

confidence: 99%

“…The CE being in focus, radiation can be neglected and the resonance phenomenon can be described by simultaneously taking into account inductive, capacitive and resistive effects; hence, Darwin model is a suitable choice. The number of degrees of freedom (DoF) – and runtime – is kept low by applying a thin-wire approximation on the pair of differential cables and by further developing a magnetic and a new three-layer electric Green’s function using the method of images to consider the foam and the metal plate (Bingler et al , 2021). In Sections 2 and 3, the Darwin IE approach and the derivation of the Green’s functions are discussed, followed by the numerical results in Section 4.…”

Section: Introductionmentioning

confidence: 99%

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Sensitivity analysis for automotive EMC measurements using quasistatic Darwin model

Bingler

Bilicz

Csörnyei³

2021

COMPEL

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Purpose The purpose of this paper is performing a global sensitivity analysis for automotive electromagnetic compatibility (EMC) measurements related to the CISPR 25 setup in order to examine the effect of the setup uncertainties on the resonance phenomenon. Design/methodology/approach An integral equation formulation is combined with Darwin model and special Green’s functions to model the configuration. The method of Sobol’ indices is used to gain sensitivity factors enhanced with a polynomial chaos metamodel. Findings The proposed model resulted in by orders of magnitude lower number of degrees of freedom and runtime compared to popular numerical methods, e.g. finite element method. The result of the sensitivity study is in good agreement with the underlying physical phenomena and improves the understanding of the resonances. Practical implications The fast model supplemented by the sensitivity factors can be used in EMC design and optimization. Originality/value The proposed method is original in the sense of combining a polynomial chaos metamodel with a low-cost integral equation model to reduce the computational demand for the sensitivity study.

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Section: Discussionmentioning

confidence: 99%

“…By adjusting the permittivity values of the layers to match our original problem (Figure 6), we obtain the sought Green’s function (Bingler et al , 2021): …”

Section: Treating the Inhomogeneitiesmentioning

confidence: 99%

Section: Treating the Inhomogeneitiesmentioning

confidence: 99%

Section: Darwin Integral Equation Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Sensitivity analysis for automotive EMC measurements using quasistatic Darwin model

Bingler

Bilicz

Csörnyei³

2021

COMPEL

Self Cite

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A comparative study on electromagnetic quasistatic time‐domain field calculations

Henkel

Kasolis

Schöps

et al. 2022

Int J Numerical Modelling

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Electromagnetic quasistatic field models, which take into consideration resistive, inductive, and capacitive effects, have been introduced for electrical engineering applications whose geometrical characteristics, combined with the operational frequencies, suggest negligible radiation phenomena. Here, a monolithic variant of a previously proposed two‐step electromagnetic quasistatic algorithm and a two‐step time‐domain Maxwell formulation are presented, together with relevant initial‐boundary value problems. In view of numerical experiments, the fields that are obtained with the two‐step electromagnetic quasistatic algorithm, its monolithic variant, and the two‐step time‐domain Maxwell formulation are compared and turn out to be in good agreement.

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