Numerical model to discretize source fields in the 3D finite element method

Menach, Yvonnick Le; Clénet, S.; Piriou, F.

doi:10.1109/20.877539

Cited by 30 publications

(28 citation statements)

References 6 publications

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“…It develops the related mathematical and discretisation tools for any wished conformity level. In particular, it justifies the use of the non-common d-conform electric formulation [8], [9], when associated with the h-conform magnetodynamic formulation. In all cases, the basis functions associated with the global quantities involved in the FE circuit relations benefit from a significant support reduction, which facilitates their evaluation and gives direct physical interpretations of their expressions.…”

Section: Discussionmentioning

confidence: 99%

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Three‐dimensional finite element modeling of inductive and capacitive effects in micro‐coils

Dular

Sabariego

Kuo‐Peng

2006

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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-Dual finite element formulations are developed for modeling both inductive and capacitive effects in massive inductors. Mixed finite elements are used to satisfy each chosen conformity level for the unknown fields and to naturally define the global quantities involved in the inductive and capacitive circuit relations, to be used in circuit coupling. The interest of satisfying conformity properties for the considered magnetic and electric coupled problems is shown and the related mathematical and discrete tools for any wished conformity level are developed.

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Section: Discussionmentioning

confidence: 99%

“…In case differs from zero, a source electric flux density d s would have to be defined [8], [9], with d = d s -curl u and div d s = . The electric model to be posed in c C can only be given information regarding the tangential electric field on c via a natural boundary condition.…”

Section: Magnetic Field and Electric Flux Density Conform Formulationsmentioning

confidence: 99%

Three‐dimensional finite element modeling of inductive and capacitive effects in micro‐coils

Dular

Sabariego

Kuo‐Peng

2006

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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“…Considering the A − ϕ and T − Ω formulation defined previously, the fluxes flowing through a coil "k" can be defined as [7]:…”

Section: Flux Calculationmentioning

confidence: 99%

Refinement Strategy Using 3D FEM in Eddy Current Testing

Krebs

Clénet

Ali³

2008

Studies in Computational Intelligence

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“…They are respectively discretized in the edge and facet element spaces. In this condition, the dicrete Tonti Diagram is respected (10) . The calculation process stays invisible for the user.…”

Section: Flux Linkage Expressionsmentioning

confidence: 99%

“…To determine flux linkage in the case of the ϕ-formulation, as the current density vector N is divergence free, a vector K is introduced under the form: curlK = N (10) . Then, from equation (9), permuting N with its expression in function of K and using Green's formula, we can write:…”

Section: Flux Linkage Expressionsmentioning

confidence: 99%

Application of Finite-Element Method to a PMLSM with Non-Sinusoidal Electromotive Force

Remy

Tounzi²,

Barre

et al. 2006

IEEJ Trans. IA

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Remy Ghislain Non-member (L2EP, ENSAM Lille, ghislain.remy@lille.ensam.fr) Tounzi Abdelmounaïm Non-member (USTL, ENSAM Lille, mounaim.tounzi@univ-lille1.fr) Barre Pierre-Jean Non-member (L2EP, ENSAM Lille, barre@lille.ensam.fr) Piriou Francis Non-member (USTL, ENSAM Lille, francis.piriou@univ-lille1.fr) Hautier Jean-Paul Non-member (L2EP, ENSAM Lille, hautier@lille.ensam.fr) Keywords: PMLSM, non-sinusoidal electromotive force, finite-element analysis Nowadays industrial applications such as machine-tools applications require high speed and high precision. Fig.1 shows a prototype designed for high speed laser cutting. To improve the performances of linear motion systems, classical solutions used are to adapt more powerful linear motors, or to reduce the moving weight. But in the meantime, ripple forces induced by harmonics of Back-EMF are amplified as the power of the linear motor increases; consequently, the mechanical system is more and more perturbed by the force ripple and a high precision positioning becomes more difficult to reach. One solution is to improve the control strategy of such systems: to control permanent magnet linear synchronous motors (PMLSM) in an optimal way, the knowledge of the real waveform of different electrical characteristics is required. Thus, control strategies can be built on accurate values and yield reliable processes, notably on the thrust control. One of the electrical characteristics needed is the electromotive force (emf). This can be sinusoidal or not, which implies different control approaches. Furthermore, it is generally difficult to obtain this emf from measurements. Nowadays, the threedimensionnal finite-element method (3D-FEM) is widely used to model PMLSMs. Then, it can be helpful to determine the electrical characteristics of a PMLSM when it is difficult to measure them. It can also be used, in virtual prototypes, to quantify their electromagnetic variables in order to foresee the machine control or to modify the geometrical characteristics of the prototype to yield the desired results. The PMLSM studied is a LIMES400/120 from Siemens (Fig. 1). Measures and estimations of Back-EMF are made in realtime with a dSPACE 1005 card. Fig. 1. PMLSM PrototypeWe used the finite-element method to study the non-sinusoidal EMF of a PMLSM. Firstly, the finite-element method is introduced; as there are severals solutions to solve the Maxwell equations, two classical potential formulations are presented to express and solve the electromagnetic problem. Results presented give some advice to make the choice between the two formulations regarding to the studied system.Previous studies have shown that the high number of poles decreases the end effects and the dissymetry of the inductances. Consequently, it is possible to use the geometric periodicity to model only a part of the machine and then to limit the computation time without any effect on the accuracy of the results. We presented the elementary part modelled and the geometrical characteristics. Then, the several cases have been in...

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Numerical model to discretize source fields in the 3D finite element method

Cited by 30 publications

References 6 publications

Three‐dimensional finite element modeling of inductive and capacitive effects in micro‐coils

Three‐dimensional finite element modeling of inductive and capacitive effects in micro‐coils

Refinement Strategy Using 3D FEM in Eddy Current Testing

Application of Finite-Element Method to a PMLSM with Non-Sinusoidal Electromotive Force

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