Rigorous dc Solution of Partial Element Equivalent Circuit Models Including Conductive, Dielectric, and Magnetic Materials

This paper presents a rigorous derivation of the dc solution of three-dimensional partial element equivalent circuit (PEEC) formulation extended to include simultaneously conductive, dielectric, and magnetic materials. The circuit interpretation of Maxwell's equations provided by the PEEC metho...

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Bibliographic Details
Published in:IEEE transactions on electromagnetic compatibility 2020-06, Vol.62 (3), p.870-879
Main Authors: Romano, Daniele, Kovacevic-Badstubner, Ivana, Parise, Mauro, Grossner, Ulrike, Ekman, Jonas, Antonini, Giulio
Format: Article
Language:English
Subjects:
<named-content xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="LaTeX"> dc</tex-math> </inline-formula> </named-content> solution
Computer simulation
Conductors
dc solution
Dielectrics
Electronic systems
Elektroniksystem
Equivalent circuits
Fast Fourier transformations
Finite element method
Fourier transforms
Impulse response
Integrated circuit modeling
Magnetic materials
Mathematical model
Maxwell's equations
Method of moments
Nonlinear programming
partial element equivalent circuit (PEEC) method
Well posed problems
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Summary:This paper presents a rigorous derivation of the dc solution of three-dimensional partial element equivalent circuit (PEEC) formulation extended to include simultaneously conductive, dielectric, and magnetic materials. The circuit interpretation of Maxwell's equations provided by the PEEC method allows to reformulate the dc modeling task in such a way that physical phenomena are fully exploited. Indeed, since the displacements currents are identically zero in dielectrics, Kirchhoff's current law is enforced in terms of charge conservation internally to dielectrics or at the interface between dielectrics and other materials. A well-posed problem is achieved by adding the charges as new unknowns and identifying the disconnected objects. Two numerical examples are presented demonstrating the accuracy of the proposed method when compared to the dc solution as extracted by the fast Fourier transform of the impulse response and a finite element method simulation.
ISSN:0018-9375
1558-187X
1558-187X
DOI:10.1109/TEMC.2019.2919759