Finite length wire dynamical modeling for automotive applications using H2-norm based approximation of a fractional model

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 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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Conference papers
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Contributor : Christophe Farges <>
Submitted on : Thursday, February 15, 2018 - 11:17:59 AM
Last modification on : Friday, February 16, 2018 - 1:05:24 AM

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  • HAL Id : hal-01709713, version 1

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Mathieu Chevrié, Christophe Farges, Jocelyn Sabatier, Franck Guillemard, Laetitia Pradere. Finite length wire dynamical modeling for automotive applications using H2-norm based approximation of a fractional model. European Control Conference (ECC), Jun 2016, Aalborg, Denmark. European Control Conference (ECC), 2016. 〈hal-01709713〉

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