An Independent Loops Search Algorithm for Solving Inductive Peec Large Problems

Nguyen, Trung Son; Guichon, Jean‐Michel; Chadebec, Olivier; Gérard, Meunier; Vincent, Benjamin

doi:10.2528/pierm11111503

Cited by 20 publications

(19 citation statements)

References 8 publications

(19 reference statements)

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“…In our approach, a circuit solver resolution based on the determination of independent loops [8] is used. The general principle consists in finding small topological loops, by minimizing the number of branches, allowing a very quick research of independent loops.…”

Section: Coupling Both Methodsmentioning

confidence: 99%

3-D Hybrid FEM–BEM Using Whitney Facet Elements and Independent Loops

et al. 2015

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This paper presents a hybrid formulation using Whitney facet elements. This formulation is efficient for the modeling of unbounded 3-D magnetostatic problems. Boundary element method is used to model the unbounded regions and finite element method to model the ferromagnetic ones. Using equivalent circuit representation, the problem is changed, the degrees of freedom becoming magnetic flux in loops instead of faces. As a result, the dimension of the system to be solved is decreased.Index Terms-Boundary element method (BEM), facet finite elements, hybrid FEM-BEM, magnetostatics.

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Section: Coupling Both Methodsmentioning

confidence: 99%

3-D Hybrid FEM–BEM Using Whitney Facet Elements and Independent Loops

et al. 2015

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“…To resolve the equivalent electrical circuit, we use the similar technique than which is presented in [5], so using an independent loops search technique [8].…”

Section: Resolution Of the Electrical Circuitmentioning

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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“…To solve electrical and magnetic circuit equations (19), we use a similar technique than in [2] using independent loops technique [10]. Fundamental circuit equations to be solved are …”

Section: Application: Magnetodynamic Formulation With Coilsmentioning

confidence: 99%

A Magnetic Flux–Electric Current Volume Integral Formulation Based on Facet Elements for Solving Electromagnetic Problems

2015

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An original and powerful volume integral formulation for solving electromagnetic problems is proposed. It is based on a facet interpolation for representing the magnetic flux in magnetic regions and the current density in conducting regions. This formulation is particularly well adapted for solving electromagnetic problems where air is preponderant, whatever the frequency. First results obtained are very encouraging, in terms of efficiency and accuracy.Index Terms-Electromagnetism, equivalent circuit, volume integral method (VIM), Whitney facet element.

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An Independent Loops Search Algorithm for Solving Inductive Peec Large Problems

Cited by 20 publications

References 8 publications

3-D Hybrid FEM–BEM Using Whitney Facet Elements and Independent Loops

3-D Hybrid FEM–BEM Using Whitney Facet Elements and Independent Loops

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

A Magnetic Flux–Electric Current Volume Integral Formulation Based on Facet Elements for Solving Electromagnetic Problems

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