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Variational approach and optimal control of a PEM fuel cell

✍ Scribed by A. Căpăţînă; H. Ene; G. Paşa; D. Poliševski; R. Stavre

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
351 KB
Volume
74
Category
Article
ISSN
0362-546X

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✦ Synopsis

The purpose of this paper is to propose and study a mathematical model and a boundary control problem associated to the miscible displacement of hydrogen through the porous anode of a PEM fuel cell. Throughout the paper, we study certain variational problems with a priori regularity properties of the weak solutions. We obtain the existence of less regular solutions and then we prove the desired regularity of these solutions. We consider a control problem that permits to determine the boundary distribution of the pressure which provides an optimal configuration for the temperature and for the concentration, as well. Since the solution of the problem is not unique, the control variable does not appear explicitly in the definition of our cost functional. To overcome this difficulty, we introduce a family of penalized control problems which approximates our boundary control problem. The necessary conditions of optimality are derived by passing to the limit in the penalized optimality conditions.

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