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

Beale, S. B. ; Reimer, U. ; Froning, D. ; Jasak, H. ; Andersson, M. LU ; Pharoah, J. G. and Lehnert, W. (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
; ; ; ; ; and
organization
publishing date
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}},
}