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Effects of distributed sources on transmission-line models: low frequency approximations

Interaction Notes – Note 628 – June 2016

Authors: J-P. Parmantier – I. Junqua – S. Bertuol – P. Schickele (ONERA)

EPICEA European Coordinator ONERA has published online Interaction Notes entitled “Effects of distributed sources on transmission-line models: low frequency approximations” available on http://ece-research.unm.edu/summa/notes/In/IN628.pdf.

This paper is related to EPICEA’s WP2, “EM coupling on Interconnected Systems”. Field to Transmission Line (FTL) is an important scenario to be developed in the EPICEA computer platform. With FTL, 3D and wiring calculations can be run separately and linked together, the first calculation providing equivalent source terms to the second one. Among the FTL formalisms, Agrawal’s formalism is of particular interest for numerical implementation with a 3D solver for the 3D calculations. This formalism requires only voltage generators which explains the source restriction which is made in this theoretical paper.

From a practical point of view, the method described in this paper allows gathering source distributions along cable paths as constant sources in equivalent intervals, larger than the ones dictated by the sampling of the mesh of the 3D calculation, thereby reducing the memory resources and calculation time in the determination of source wave terms of the BLT equation.

As a directly applicable result for EPICEA, this paper provides an equivalent distributed source model, valid for any type of load at the extremity of the transmission line. The equivalent boundaries of the interval are calculated depending on the voltage source spatial distribution. Such a model is valid in the quasi-static approximation applying interval decomposition rules such as in lambda/10, where lambda stands for the minimum frequency wavelength of the problem. This new formulation of the equivalent distributed sources will be implemented in the FTL wrappers of the EPICEA computer platform.

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The EPICEA project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 689007.