Stability Issues of Fuel Cell Models in the Activation and Concentration Regimes

Author:

Beale S. B.1,Reimer U.2,Froning D.2,Jasak H.3,Andersson M.4,Pharoah J. G.5,Lehnert W.6

Affiliation:

1. Fellow ASME Forschungszentrum Jülich GmbH, Institute of Energy and Climate Research, IEK-3, Jülich 52425, Germany; Mechanical and Materials Engineering, Queen's University, Kingston, ON K7 L 3N6, Canada e-mails: ;

2. Forschungszentrum Jülich GmbH, Institute of Energy and Climate Research, IEK-3, Jülich 52425, Germany e-mail:

3. Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lucica 5, Zagreb 10000, Croatia; Wikki Ltd., Unit 459, Southbank House, Black Prince Road, London SE1 7SJ, UK e-mails: ;

4. Department of Energy Sciences, Lund University, Lund 22100, Sweden; Forschungszentrum Jülich GmbH, Institute of Energy and Climate Research, IEK-3, Jülich 52425, Germany e-mail:

5. Mechanical and Materials Engineering, Queen's University, Kingston, ON K7 L 3N6, Canada e-mail:

6. Forschungszentrum Jülich GmbH, Institute of Energy and Climate Research, IEK-3, Jülich 52425, Germany; Modeling in Electrochemical Process Engineering, RWTH Aachen University, Aachen 52056, Germany; JARA-HPC, Jülich 52425, Germany e-mail:

Abstract

Code stability is a matter of concern for three-dimensional (3D) fuel cell models operating both at high current density and at high cell voltage. An idealized mathematical model of a fuel cell should converge for all potentiostatic or galvanostatic boundary conditions ranging from open circuit to closed circuit. Many fail to do so, due to (i) fuel or oxygen starvation causing divergence as local partial pressures and mass fractions of fuel or oxidant fall to near zero and (ii) nonlinearities in the Nernst and Butler–Volmer equations near open-circuit conditions. This paper describes in detail, specific numerical methods used to improve the stability of a previously existing fuel cell performance calculation procedure, at both low and high current densities. Four specific techniques are identified. A straight channel operating as a (i) solid oxide and (ii) polymer electrolyte membrane fuel cell is used to illustrate the efficacy of the modifications.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Energy Engineering and Power Technology,Renewable Energy, Sustainability and the Environment,Electronic, Optical and Magnetic Materials

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