HAL Id: hal-02355113
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Submitted on 8 Nov 2019
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Accurate method for calculating currents in wires in the vicinity of curved geometries
Ronan Cranny, Xavier Ferrières, Thibault Volpert
To cite this version:
Ronan Cranny, Xavier Ferrières, Thibault Volpert. Accurate method for calculating currents in wires in the vicinity of curved geometries. RMMM 2019, Sep 2019, VIENNE, Austria. �hal-02355113�
Accurate method for calculating currents in wires in the vicinity of curved geometries
R.Cranny, X.Ferrieres, and T.Volpert
ONERA/DEMR, Université de Toulouse F-31055 Toulouse - France
Precise methods to calculate currents are required for low frequency EMC simulations dealing with vehicles struck by lightning. The current model used resolves Maxwell’s equations combined with a Line model based on Holland’s thin wire formalism [1]. The challenge is related to the approximation of the source fields obtained with Yee’s scheme [2]. These sources are then used for the thin wire equations. In the vicinity of structures, the errors due to the staircase meshes representing surfaces corrupt the fields’ values. In order to bypass this issue, it was suggested to apply non structured meshes such as Finite Volume (FV) [3]. Difficulties are encountered when introducing thin oblique wires [4] in this last approach, in particular for the calculation of the local self inductance L, a numerical parameter required by the line model equations.
In choosing a FV solver, difficulties will arise in terms of calculation resources due to the cal- culation procedure of the latter and to the unstructuredness of the meshes. To overcome this obstacle, a hybrid Non Structured-Structured (NST-ST) FV scheme which can also incorporate oblique Line models is proposed.
To illustrate the advantage of this new approach, an open cylindrical structure with wires run- ning along its walls will be taken into account. It will be illuminated by a plane wave and we shall compare the obtained results in terms of current and field values retrieved inside and also in the vicinity of the cables.
(a) FV scheme (b) NST-ST scheme (c) FD scheme Figure 1: Multiple configurations
References
[1] R. Holland, L. Simpson, Finite-Difference Analysis of EMP Coupling to Thin Struts and Wires, IEEE Transactions on Electromagnetic Compatibility,volume EMC-23, issue 2 (1981). DOI: 10.1109/temc.1981.303899
[2] K. Yee, Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media, IEEE Transactions on Antennas and Propagation, volume 14, issue 3 (1966). DOI:10.1109/tap.1966.1138693
[3] P. Bonnet, X. Ferrieres, F. Issac, F. Paladian, J. Grando, J.C. Alliot, J. Fontaine,Numerical Modeling of Scattering Problems Using a Time Domain Finite Volume Method, Journal of Electromagnetic Waves, volume 11, issue 8 (1997). DOI:10.1163/156939397X01070
[4] C. Guiffaut, A. Reineix, B. Pecqueux, New Oblique Thin Wire Formalism in the FDTD Method With Multiwire Junctions, IEEE Transactions on Antennas and Propagation, volume 60, issue 3 (2012). DOI:10.1109/tap.2011.2180304
