H2-norm for mesh optimization with application to electro-thermal modeling of an electric wire in automotive context

Abstract : In automotive application field, reducing electric conductors dimensions is significant to decrease the embedded mass and the manufacturing costs. It is thus essential to develop tools to optimize the wire diameter according to thermal constraints and protection algorithms to maintain a high level of safety. In order to develop such tools and algorithms, accurate electro-thermal models of electric wires are required. However, thermal equation solutions lead to implicit fractional transfer functions involving an exponential that cannot be embedded in a car calculator. This paper thus proposes an integer order transfer function approximation methodology based on a spatial discretization for this class of fractional transfer functions. Moreover, the H2-norm is used to minimize approximation error. Accuracy of the proposed approach is confirmed with measured data on a 1.5 mm2 wire implemented in a dedicated test bench.
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Article dans une revue
Communications in Nonlinear Science and Numerical Simulation, Elsevier, 2017, 45, pp.176 - 189. 〈10.1016/j.cnsns.2016.09.018〉
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https://hal.archives-ouvertes.fr/hal-01709719
Contributeur : Christophe Farges <>
Soumis le : jeudi 15 février 2018 - 11:20:03
Dernière modification le : vendredi 16 février 2018 - 01:05:22

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Christophe Farges, Mathieu Chevrié, Jocelyn Sabatier, Franck Guillemard, Laetitia Pradere. H2-norm for mesh optimization with application to electro-thermal modeling of an electric wire in automotive context. Communications in Nonlinear Science and Numerical Simulation, Elsevier, 2017, 45, pp.176 - 189. 〈10.1016/j.cnsns.2016.09.018〉. 〈hal-01709719〉

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