Simulation et contrôle de l'aspect thermique d'une pile à combustible PEMFC

This thesis deals with contribution to thermal problems of PEM Fuel Cell. In fact, since the chemical conversion of energy stored within the fuel cell is accompanied by the production of an important thermal energy (50 %), it is most important to understand the thermal behavior of fuel cell. Majority of models involves complex systems of heat differential equations. In addition, PEMFC presents a heterogeneous system and thermal coupling of conduction-convection involves complex differential equations, and their solution can not be done within a reasonable amount of time by sequential program. In the first part of this work, seeking reliable and simple method for study of thermal behavior phenomena, we have developed the nodal approach that result from a formal analogy between analogical circuits and their counterpart’s phenomena. In this approach, we can represent the two phenomena of conduction-convection without any coupling of with another approach of representation. It will be shown in this thesis that this model presents high scalability and parallel processing characteristics that make it suitable for simulation on parallel machines or a network of workstations. In the second part of this work, we have interested to the control of the temperature of fuel cell. The model inspired by the nodal approach that we have developed is in the bilinear form. We propose a result on feedback stabilization of thermal behavior of PEM Fuel Cell.