Stability Issues of Fuel Cell Models in the Activation and Concentration Regimes
(2018) In Journal of Electrochemical Energy Conversion and Storage 15(4).- 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... (More)
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.
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- author
- Beale, S. B. ; Reimer, U. ; Froning, D. ; Jasak, H. ; Andersson, M. LU ; Pharoah, J. G. and Lehnert, W.
- organization
- publishing date
- 2018-11-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- fuel cell, mass transfer, numerical stability, polymer electrolyte fuel cell, solid oxide fuel cell
- in
- Journal of Electrochemical Energy Conversion and Storage
- volume
- 15
- issue
- 4
- article number
- 041008
- publisher
- American Society Of Mechanical Engineers (ASME)
- external identifiers
-
- scopus:85051129054
- ISSN
- 2381-6872
- DOI
- 10.1115/1.4039858
- language
- English
- LU publication?
- yes
- id
- 83df1a17-0f28-40f4-884b-26db5cd7b279
- date added to LUP
- 2018-08-14 14:44:39
- date last changed
- 2022-06-27 20:28:04
@article{83df1a17-0f28-40f4-884b-26db5cd7b279, abstract = {{<p>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.</p>}}, author = {{Beale, S. B. and Reimer, U. and Froning, D. and Jasak, H. and Andersson, M. and Pharoah, J. G. and Lehnert, W.}}, issn = {{2381-6872}}, keywords = {{fuel cell; mass transfer; numerical stability; polymer electrolyte fuel cell; solid oxide fuel cell}}, language = {{eng}}, month = {{11}}, number = {{4}}, publisher = {{American Society Of Mechanical Engineers (ASME)}}, series = {{Journal of Electrochemical Energy Conversion and Storage}}, title = {{Stability Issues of Fuel Cell Models in the Activation and Concentration Regimes}}, url = {{http://dx.doi.org/10.1115/1.4039858}}, doi = {{10.1115/1.4039858}}, volume = {{15}}, year = {{2018}}, }