Application of the impedance boundary condition in a finite element environment using the reduced potential formulation

Sakellaris, J.; Meunier, G.; Brunotte, X.; Guérin, Christophe; Sabonnadière, Jean‐Claude

doi:10.1109/20.278727

Cited by 20 publications

(6 citation statements)

References 11 publications

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“…The direct modeling of eddy current regions usually leads to very expensive meshes. An alternative and very convenient way of modeling eddy current regions can be established with the use of surface impedance boundary conditions [7]. Tank and frame are modeled in this way.…”

Section: D Time-harmonic Finite-element Modelmentioning

confidence: 99%

Multi-port network and 3D finite-element models for accurate transformer calculations: Single-phase load-loss test

Escarela‐Perez

Kulkarni

Melgoza

2008

Electric Power Systems Research

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Section: D Time-harmonic Finite-element Modelmentioning

confidence: 99%

Multi-port network and 3D finite-element models for accurate transformer calculations: Single-phase load-loss test

Escarela‐Perez

Kulkarni

Melgoza

2008

Electric Power Systems Research

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“…Moreover, if the skin depth is smaller than the massive conductor dimensions, it is possible to replace the volume region by a surface boundary condition that accounts for the presence of these conductor regions. The practical implementation of this approach is to relate the tangential component of the magnetic field intensity with the electric field at the eddy-current region surface [6]. Hence, the resultant electromagnetic problem can be established in terms of the reduced scalar potential and the magnetic field (created by in the absence of matter) as follows: (24) In highly permeable matter the magnetic field density is very small , making .…”

Section: B 3-d Scalar Modelmentioning

confidence: 99%

“…The short-circuit impedances can now be used to determine currents and powers produced during the three-phase load loss test using (6) and (11). The numerical results are shown in Table VII when the supplied voltages to the outer windings in (1) are , and .…”

Section: B Three-phase Load-loss Testmentioning

confidence: 99%

Analytical Description of the Load-Loss Asymmetry Phenomenon in Three-Phase Three-Limb Transformers

Escarela‐Perez

Kulkarni

Álvarez‐Ramírez

et al. 2009

IEEE Trans. Power Delivery

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Abstract-The asymmetry phenomenon observed during the load-loss test of three-phase transformers is rigorously analyzed. The transformer is represented as a three-port impedance network despite its six-port network nature, making any formal study more tractable. The analytical restrictions required for such a representation are derived. As a result, it is possible to mathematically prove (and understand) the asymmetrical behavior of a three-phase transformer subjected to the load-loss test. Only two circuit-field simulations or tests (single-phase load-loss tests) are required to obtain the impedance system of the six-winding transformer. A 3-D finite-element (FE) model of a transformer is used here to obtain its short-circuit impedances, exemplifying the use and extent of the analytical results. The eddy currents generated at the transformer tank and frame are properly taken into consideration. The short-circuit impedance model is validated with the 3-D FE model and with a six-port network approach that has been previously verified.Index Terms-Asymmetry phenomenon, finite-element models (FEMs), network models, short-circuit impedances.

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“…It represents the ratio of the electric and magnetic field on the surface of the conducting material. In the case of this thin layer with symmetrical fields this boundary impedance is given to [6], [7], [8]…”

Section: B Impedance Boundary Conditionmentioning

confidence: 99%

Calculation of the transient temperature distribution in a TFIH device using the impedance boundary condition

Maï

Henneberger²

1998

IEEE Trans. Magn.

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This paper presents a method of alternately switched coils in transverse flux inductive heating devices (TFIH) and their finite element formulation in order to improve temperature distribution. In the present paper the application of the boundary impedance method in eddy-current computation in thin conducting sheets is combined with the transient calculation of the resulting temperature distribution. In this non-linear coupled electromagnetothermal problem the ?,a formulation is used to calculate the time-harmonic electromagnetic field. The Fourier's thermal conduction equation is extended by terms for conduction, convection and radiation. In addition a quasi steady state formulation for high switching frequencies is introduced.

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Application of the impedance boundary condition in a finite element environment using the reduced potential formulation

Cited by 20 publications

References 11 publications

Multi-port network and 3D finite-element models for accurate transformer calculations: Single-phase load-loss test

Multi-port network and 3D finite-element models for accurate transformer calculations: Single-phase load-loss test

Analytical Description of the Load-Loss Asymmetry Phenomenon in Three-Phase Three-Limb Transformers

Calculation of the transient temperature distribution in a TFIH device using the impedance boundary condition

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