An Integral Formulation for the Computation of 3-D Eddy Current Using Facet Elements

Nguyen, Thanh-Trung; Meunier, G.; Guichon, Jean‐Michel; Chadebec, Olivier; Nguyen, Trung Son

doi:10.1109/tmag.2013.2282957

Cited by 28 publications

(26 citation statements)

References 13 publications

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“…2(a)). Notice that this underwater surface contains many geometric details, like the keel and turbines, that normally will be included for the accurate numerical approximations of electromagnetic radiation [21][22][23]. For the purpose of this paper (and for many ill-posed problems) it is common practice to use a simplified model that can account for the basic mechanisms of the electromagnetic radiation.…”

Section: Numerical Experimentsmentioning

confidence: 99%

Underwater Electromagnetic Holography Imaging Techniques for Shallow Water Mediums

Valdivia¹,

Williams²,

Alqadah³

2017

PIER B

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Abstract-We propose an approach to characterize the AC underwater radiation produced by a ship over a shallow water medium using dipole sources distributed over an interior surface to the ship. The proposed approach relies on the accurate and efficient representation of dipole sources over the shallow water medium that characterizes the behavior of the electric or magnetic field. The approach is reduced to the solution of the resultant matrix system from the dipole representation. These systems are ill-posed, i.e., if the matrix systems are not solved by special regularization methods, the resultant solution will amplify the measurement noise. The regularization method applied is the least squares QR iterations combined with a new stopping rule that uses a numerical estimate of the measurement noise. Numerically generated data is used to study the validity of the different dipole representations. Finally, we validate our methodology using magnetic measurements that result from degaussing coils of a mid-size vessel.

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Section: Numerical Experimentsmentioning

confidence: 99%

Underwater Electromagnetic Holography Imaging Techniques for Shallow Water Mediums

Valdivia¹,

Williams²,

Alqadah³

2017

PIER B

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“…We can note that only the jωP term has been added from the original expression. A previous formulation was presented in [12] to take into account resistive and inductive effects in the presence of conductors. The choice was made to use the current density J as the unknown.…”

Section: A Maxwell's Equationsmentioning

confidence: 99%

“…To be able to treat unstructured meshes, we use the same test and trial functions as in [12]. So, we discretize J tot using the face elements w j as follows:…”

Section: B Discretizationmentioning

confidence: 99%

“…It consists in transforming a meshed electromagnetic device into its equivalent circuit made of lumped R-L-C elements and sources, so the coupling with the external circuit is natural. The classical PEEC was limited to structured meshes, but this limitation has recently been overcome by a Nonorthogonal PEEC formulation [10] or by using face elements [11], [12] for general meshes. This major improvement enables the treatment of more complex geometries and devices [13].…”

Section: Introductionmentioning

confidence: 99%

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Volume Integral Formulation Using Face Elements for Electromagnetic Problem Considering Conductors and Dielectrics

Siau¹,

Meunier²,

Chadebec³

et al. 2016

IEEE Trans. Electromagn. Compat.

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A new integral formulation is presented, enabling the computation of resistive, inductive, and capacitive effects considering both conductors and dielectrics in the frequency domain. The considered application allows us to neglect any propagation effects and magnetic materials. In this paper, we will show how to improve the unstructured-partial element equivalent circuit approach to consider dielectric materials, keeping the same benefits. Results obtained with this formulation are compared to results from an industrial finite-element method software and measurements.

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“…Recently, eddy-current integral formulations based on facet elements have been proposed [4], [5]. Different regions have been considered, such as thin regions in [4] and volume regions in [5].…”

Section: Introductionmentioning

confidence: 99%

3-D Integral Formulation Using Facet Elements for Thin Conductive Shells Coupled With an External Circuit

et al. 2015

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A volume integral formulation using facet elements to compute eddy currents in thin conductive shells is presented. The formulation is general and considers the field variation through the depth due to the skin effect. The formulation leads to an equivalent lumped elements circuit that can be coupled with an external circuit. The resolution of the circuit is achieved by the independent loops method. The formulation has been validated because of two numerical examples. Results are compared with an axisymmetric finite-element method (FEM) and another shell formulation implemented in a 3-D FEM.Index Terms-Eddy currents, facet element, generalized partial element equivalent circuit (PEEC) method, integral equation method, thin conductive shells.

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An Integral Formulation for the Computation of 3-D Eddy Current Using Facet Elements

Cited by 28 publications

References 13 publications

Underwater Electromagnetic Holography Imaging Techniques for Shallow Water Mediums

Underwater Electromagnetic Holography Imaging Techniques for Shallow Water Mediums

Volume Integral Formulation Using Face Elements for Electromagnetic Problem Considering Conductors and Dielectrics

3-D Integral Formulation Using Facet Elements for Thin Conductive Shells Coupled With an External Circuit

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