A nonlinear circuit coupled t - t/sub 0/ - φ formulation for solid conductors

Meunier, G.; Floch, Yann Le; Guérin, Christophe

doi:10.1109/tmag.2003.810200

Cited by 57 publications

(48 citation statements)

References 5 publications

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“…Far from being complete, let us only mention the contributions in [11], [19], [17], [18], [25], [26], [23], [16], [10], [20], [8], [6] and the references therein.…”

Section: Introduction and Basic Resultsmentioning

confidence: 99%

Voltage and Current Excitation for Time-Harmonic Eddy-Current Problems

Rodríguez

Valli

2008

SIAM J. Appl. Math.

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“…Far from being complete, let us only mention the contributions in [11], [19], [17], [18], [25], [26], [23], [16], [10], [20], [8], [6] and the references therein.…”

Section: Introduction and Basic Resultsmentioning

confidence: 99%

Voltage and Current Excitation for Time-Harmonic Eddy-Current Problems

Rodríguez

Valli

2008

SIAM J. Appl. Math.

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“…Another example that may dictate the use of a potential formulation is when one needs to couple an electromagnetic model with an electric circuit [18,19]. This coupling requires computing global quantities, such as flux linkages or inductances, which is straightforward to do with a potential formulation, but harder when working in terms of field variables.…”

Section: Formulation Of a Modelmentioning

confidence: 99%

Potential and limits of numerical modelling for supporting the development of HTS devices

Sirois¹,

Grilli²

2015

Supercond. Sci. Technol.

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In this paper, we present a general review of the status of numerical modelling applied to the design of high temperature superconductor (HTS) devices. The importance of this tool is emphasized at the beginning of the paper, followed by formal definitions of the notions of models, numerical methods and numerical models. The state-of-the-art models are listed, and the main limitations of existing numerical models are reported. Those limitations are shown to concern two aspects: one the one hand, the numerical performance (i.e. speed) of the methods themselves is not good enough yet; on the other hand, the availability of model file templates, material data and benchmark problems is clearly insufficient. Paths for improving those elements are provided in the paper. Besides the technical aspects of the research to be further pursued, for instance in adaptive numerical methods, most recommendations command for an increased collective effort for sharing files, data, codes and their documentation.

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“…A better way is to consider a magnetostatic FEM, by solving Maxwell-Ampere's equation (4) 3) Main Finite Element Resolution: On the one hand, if there is no ferromagnetic material in the devices, the magnetic field in the area between electrodes is the sum of the two previous fields (5) where is the current flowing to the circuit breaker. On the other hand, if circuit breaker contains ferromagnetic materials, the field becomes (6) where represents the field created by the ferromagnetic part. is obtained by the following FE's resolution (free divergence of the induction) (7) coupled with circuit equations [3].…”

Section: ) Magnetic Field Created By Electrodesmentioning

confidence: 99%

“…For this, it is then necessary to develop a Lagrangian description, where each moving conductor has its own coordinate system. A step by step resolution is adopted and, at each time step, the following equations are solved by a finite difference time-stepping approach with an implicit scheme [6], [7] (13) (14) where is the resistivity of the material, is the permeability, and is the magnetic field.…”

Section: B Eddy Currents Computationmentioning

confidence: 99%

Coupling of an electrical arc model with FEM for vacuum interrupter designs

et al. 2005

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We present a model of a rotating arc by coupling a finite element method (FEM) and an arc model. A FEM is used to calculate magnetic field between electrodes taking into account the real current distribution in the contacts and in the arc; moreover, ferromagnetic effects and induced currents can be taken into account. A phenomenological arc model is used to predict the arc voltage, which depends on the local magnetic field and the arc length. This arc voltage is updated as the arc displaces itself across the contact surface. The information about arc voltage and local circuit equations is sufficient to find the velocity of the moving arc; hence this model seems more effective than models using Lorentz-forces to describe arc movement which need a priori knowledge about viscosity. This presented method seems to be a promising tool to describe the behavior of rotating arcs in vacuum circuit breakers.Index Terms-Electrical arc model, finite element method (FEM), vacuum arc, vaccum circuit breakers.

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A nonlinear circuit coupled t - t/sub 0/ - φ formulation for solid conductors

Cited by 57 publications

References 5 publications

Voltage and Current Excitation for Time-Harmonic Eddy-Current Problems

Voltage and Current Excitation for Time-Harmonic Eddy-Current Problems

Potential and limits of numerical modelling for supporting the development of HTS devices

Coupling of an electrical arc model with FEM for vacuum interrupter designs

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