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Modélisation réduite de la pile à combustible en vue de la surveillance et du diagnostic par spectroscopie d'impédance

Abstract : This PhD thesis focuses on reduced modeling of PEM fuel cell for supervision and diagnosis by impedance spectroscopy. The first part of the document presents the principle of the PEM fuel cell, as well as the state of the art of modeling and of the methods for supervision and diagnosis. The multiscale dynamic model published in 2005 by A.A. Franco is particularly detailed and serves as a starting point. It is simplified, in order to obtain a system of partial differential equations in a single spatial dimension. The second part is devoted to harmonic analysis of the PEM Fuel cell. Inspired by classical work on the geometric analysis of electrochemical reactions networks, a model compatible with thermodynamics is obtained. This class of dynamic systems allows establishing, for such a network, an analytical formula of the impedance of the anode and the cathode of the PEM fuel cell. A complete model of the cell is obtained by connecting these elements to the membrane, diffuse layers and gas diffusion layer. The previous models assumed the PEM Fuel cell represented by a single, homogeneous, cell. In order to describe the possible spatial heterogeneities, we finally propose a result of reduced modeling for the impedance of a cell network. This model approximates the overall impedance of the network by a "mean cell", connected to two cells, put in "serial" and "parallel", and representative of the deviations from the average.
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  • HAL Id : tel-00855160, version 2

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Mohamad Safa. Modélisation réduite de la pile à combustible en vue de la surveillance et du diagnostic par spectroscopie d'impédance. Mathématiques générales [math.GM]. Université Paris Sud - Paris XI, 2012. Français. ⟨NNT : 2012PA112239⟩. ⟨tel-00855160v2⟩

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