We report the analytical solution to a problem of voltage and current distribution in a two-cell stack with the small amplitude resistive spot in one of the cells. Voltage disturbance in the defective cell increases almost linearly with the characteristic spot radius. The general expression for voltage loss due to a spot in an -cell stack is obtained; it is stack current density times peak spot resistivity times square of the characteristic spot radius. Based on the solutions derived, a method for spot detection in a stack is discussed.
Issue Section:
Research Papers
1.
Thirumalai
, D.
, and White
, R. E.
, 1997, “Mathematical Modeling of Proton-Exchange-Membrane Fuel-Cell Stacks
,” J. Electrochem. Soc.
0013-4651, 144
, pp. 1717
–1723
.2.
Baschuk
, J. J.
, and Li
, X.
, 2004, “Modelling of Polymer Electrolyte Membrane Fuel Cell Stacks Based on Hydraulic Network Approach
,” Int. J. Energy Res.
0363-907X, 28
, pp. 697
–724
.3.
Karimi
, G.
, Baschuk
, J. J.
, and Li
, X.
, 2005, “Performance Analysis and Optimization of PEM Fuel Cell Stacks Using Flow Network Approach
,” J. Power Sources
0378-7753, 147
, pp. 162
–177
.4.
Lee
, J. H.
, Lalk
, T. R.
, and Appleby
, A. J.
, 1998, “Modeling Electrochemical Performance in Large Scale Proton Exchnage Membrane Fuel Cell Stacks
,” J. Power Sources
0378-7753, 70
, pp. 258
–268
.5.
Lee
, J. H.
and Lalk
, T. R.
, 1998, “Modeling Fuel Cell Stack Systems
,” J. Power Sources
0378-7753, 73
, pp. 229
–241
.6.
Kulikovsky
, A. A.
, 2006, “Electrostatic Broadening of Current-Free Spots in a Fuel Cell Stack: The Mechanism of Stack Aging
,” Electrochem. Commun.
1388-2481, 8
, pp. 1225
–1228
.7.
Kulikovsky
, A. A.
, 2007, “Mirroring of Current-Free Spots in a Fuel Cell Stack
,” J. Electrochem. Soc.
0013-4651, 154
, pp. B817
–B822
.8.
Santis
, M.
, Freunberger
, S. A.
, Papra
, M.
, Wokaun
, A.
, and Büchi
, F. N.
, 2006, “Experimental Investigation of Coupling Phenomena in Polymer Electrolyte Fuel Cell Stacks
,” J. Power Sources
0378-7753, 161
, pp. 1076
–1083
.9.
Kulikovsky
, A. A.
, 2006, “Voltage Loss in Bipolar Plates in a Fuel Cell Stack
,” J. Power Sources
0378-7753, 160
, pp. 431
–435
.Copyright © 2009
by American Society of Mechanical Engineers
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