A New Low-Frequency Stable Potential Formulation for the Finite-Element Simulation of Electromagnetic Fields

Jochum, Martin; Farle, Ortwin; Dyczij‐Edlinger, Romanus

doi:10.1109/tmag.2014.2360080

Cited by 20 publications

(6 citation statements)

References 11 publications

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“…which must be supplemented with the same boundary conditions on the outer boundary ∂ as for the computation of ξ in (17). The term div J s is given with (15).…”

Section: Compensating the Inductive Influence Of The Source Current Densitymentioning

confidence: 99%

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Broadband finite-element impedance computation for parasitic extraction

2021

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Parasitic extraction is a powerful tool in the design process of electromechanical devices, specifically as part of workflows that check electromagnetic compatibility. A novel scheme to extract impedances from CAD device models, suitable for a finite element implementation, is derived from Maxwell's equations in differential form. It provides a foundation for parasitic extraction across a broad frequency range and is able to handle inhomogeneous permittivities and permeabilities, making it more flexible than existing integral equation approaches. The approach allows for the automatic treatment of multi-port models of arbitrary conductor geometry without requiring any significant manual user interaction. This is achieved by computing a connecting source current density that supplies current to the model's terminals, whatever their location in the model, subsequently using this current density to compute the electric field, and finally calculating the impedance via a scalar potential. A mandatory low-frequency stabilization scheme is outlined, ensuring a stable evaluation of the model at low frequencies as well. Two quasistatic approximations and the special case of perfect electric conductors are treated theoretically. The magnetoquasistatic approximation is validated against an analytical model in a numerical experiment. Moreover, the intrinsic capability of the method to treat inhomogeneous permittivities and permeabilities is demonstrated with a simple capacitor-coil model including dielectric insulation and magnetic core materials. Finally, the method's practicality is exemplified with a common mode choke model in a comparison of simulated and measured results.

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“…which must be supplemented with the same boundary conditions on the outer boundary ∂ as for the computation of ξ in (17). The term div J s is given with (15).…”

Section: Compensating the Inductive Influence Of The Source Current Densitymentioning

confidence: 99%

“…FE discretizations of the frequency-domain Maxwell equations are notorious for resulting in singular stiffness matrices at lower frequencies [16][17][18]. Generally, a lowfrequency stabilization scheme is necessary to ensure that the associated FE method linear system has a stable solution at all frequencies.…”

Section: Finite Element Discretizationmentioning

confidence: 99%

Broadband finite-element impedance computation for parasitic extraction

2021

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“…enables a computation of J J J s from its divergence given in (15) without further specifying the path of the source current. The BVP determining the underlying potential ξ (and therefore J J J s ) is then given by…”

Section: Modeling the Source Current Densitymentioning

confidence: 99%

“…and supplementing the same boundary conditions on the outer boundary ∂ Ω as for the computation of ξ in (16). The term div J J J s is given with (15). To simplify the notation in the following, the scalar field…”

Section: Compensating the Inductive Influence Of The Source Current D...mentioning

confidence: 99%

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Broadband Finite-Element Impedance Computation for Parasitic Extraction

Stysch,

Klaedtke,

De Gersem

2020

Preprint

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Parasitic extraction is a powerful tool in the design process of electromechanical devices, specifically as part of workflows that ensure electromagnetic compatibility. A novel scheme to extract impedances from CAD device models, suitable for a finite element implementation, is derived from Maxwell's equations in differential form. It provides a foundation for parasitic extraction across a broad frequency range and is able to handle inhomogeneous permittivities and permeabilities, making it more flexible than existing integral equation approaches. The approach allows for the automatic treatment of multi-port models of arbitrary conductor geometry without requiring any significant manual user interference. This is achieved by computing a special source current density from its given divergence on chosen terminal surfaces, subsequently using this current density to compute the electric field, and finally calculating the impedance via a scalar potential. A mandatory lowfrequency stabilization scheme is outlined, facilitating the finite element implementation. Two useful quasistatic approximations and the advantageous special case of perfect electric conductors are treated theoretically. The magnetoquasistatic approximation is validated against an analytical model in a numerical experiment. Moreover, the intrinsic capability of the method to treat inhomogeneous permittivities and permeabilities is demonstrated with a simple capacitorcoil model including dielectric and magnetic core materials.

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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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A New Low-Frequency Stable Potential Formulation for the Finite-Element Simulation of Electromagnetic Fields

Cited by 20 publications

References 11 publications

Broadband finite-element impedance computation for parasitic extraction

Broadband finite-element impedance computation for parasitic extraction

Broadband Finite-Element Impedance Computation for Parasitic Extraction

A comparative study on electromagnetic quasistatic time‐domain field calculations

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