In this paper results from a parameter study of an anode-supported solid oxide fuel cell (SOFC) are presented. The effects on performance, current-voltage (I-V) characteristics, polarization voltages, and diffusion coefficients are modeled for different temperatures, electrolyte thickness, porosities, and pore sizes. The analysis is carried out for a planar SOFC with YSZ electrolyte, LSM cathode, and Ni-YSZ anode, with thicknesses 20, 50, and 500 μm respectively, and with co-flow geometry. The predicted performance is validated with measured data found in the literature with good agreement. Standard equations for binary and Knudsen diffusion in porous media, concentration overpotentials, and Ohm’s law are used in the modeling. Activation overpotential is predicted by use of temperature dependent linear equations at both the anode and cathode sides. It is found that both ohmic and activation overpotentials decrease considerably with increasing temperature, while concentration overpotentials increase moderately with increasing temperature. The effect on concentration overpotentials can be explained by the reduced gas density with increased temperature, despite the increasing diffusion coefficient. Furthermore, it was found that increasing the pore sizes decreases concentration overpotentials. At low pore size the Knudsen diffusion coefficient is a bottleneck for the diffusion coefficient since it is much lower than the binary diffusion coefficient. It has been demonstrated that by increasing the pore size the Knudsen diffusion coefficient is improved. The effect of porosity has much in common with the effect of pore size; increasing porosity leads to decreased concentration overpotential due to the improved diffusion coefficient. As a natural phenomenon for anode-supported cells, most of the concentration overpotentials take place at the anode side due to its thick structure despite the high diffusion coefficient of hydrogen. It must be underlined that in this study the effect of different porosities and pore sizes is modeled at the anode and cathode substrates only without taking into account the length of the three phase boundary (LTPB) near the electrolyte interface. However, since these microstructural parameters can have an impact on the LTPB, they can also have an impact on the activation overpotentials. This is not considered here and will be taken into account in future work.

References

1.
Pehnt
,
M.
, and
Ramesohl Panda
,
S.
,
Report “Fuel Cells for Distributed Power: Benefits, Barriers and Perspectives”
(web page: http://assets.panda.org/downloads/stationaryfuelcellsreport.pdfhttp://assets.panda.org/downloads/stationaryfuelcellsreport.pdf). (Last accessed, 20 November 2010.)
2.
Stambouli
,
A. B.
, and
Traversa
,
E.
, 2002, “
Solid Oxide Fuel Cells (SOFCs): A Review of an Environmentally Clean and Efficient Source of Energy
,”
Renewable Sustainable Energy Rev.
,
6
(
5
), pp.
433
455
.
3.
Selimovic
,
A.
, 2002, “
Modeling of Solid Oxide Fuel Cells Applied to the Analysis of Integrated Systems With Gas Turbines
,”
Division of Thermal Power Engineering, Department of Energy Sciences
,
Lund University
,
Sweden
.
4.
Achenbach
,
E.
, 1996, “
SOFC Stack Modeling. Report of Research Centre Jülich, Final Report of Activity A2
,”
IEA Programme on R&D on Advanced Fuel Cells
.
5.
Andersson
,
M.
,
Yuan
,
J.
, and
Sundén
,
B.
, 2009, “
Review on Modeling Development for Multiscale Chemical Reactions Coupled Transport Phenomena in Solid Oxide Fuel Cells
,”
Appl. Energy
,
87
(
5
), pp.
1461
1476
.
6.
Lee
,
W.
,
Wee
,
Y. D.
, and
Ghoniem
,
A. F.
, 2009, “
An Improved One-Dimensional Membrane-Electrode Assembly Model to Predict the Performance of Solid Oxide Fuel Cell Including the Limiting Current Density
,”
J. Power Sources
,
186
(
2
), pp.
417
427
.
7.
Ni
,
M.
,
Leung
,
M. K. H.
, and
Leung
,
D. Y. C.
, 2007, “
Parametric Study of Solid Oxide Fuel Cell Performance
,”
Energy Convers. Manage.
,
48
(
5
), pp.
1525
1535
.
8.
Deng
,
X.
, and
Petric
,
A.
, 2005, “
Geometrical Modeling of the Triple-Phase-Boundary in Solid Oxide Fuel Cells
,”
J. Power Sources
,
140
(
2
), pp.
297
303
.
9.
Janardhanan
,
V. M.
,
Heuveline
,
V.
, and
Deutschmann
,
O.
, 2008, “
Three-Phase Boundary Length in Solid-Oxide Fuel Cells: A Mathematical Model
,”
J. Power Sources
,
178
(
1
), pp.
368
372
.
10.
Hussain
,
M. M.
,
Li
,
X.
, and
Dincer
,
I.
, 2006, “
Mathematical Modeling of Planar Solid Oxide Fuel Cells
,”
J. Power Sources
,
161
(
2
), pp.
1012
1022
.
11.
Hussain
,
M. M.
,
Li
,
X.
, and
Dincer
,
I.
, 2009, “
A General Electrolyte-Electrode-Assembly Model for the Performance Characteristics of Planar Anode-Supported Solid Oxide Fuel Cells
,”
J. Power Sources
,
189
(
2
), pp.
916
928
.
12.
Hussain
,
M. M.
,
Li
,
X.
, and
Dincer
,
I.
, 2007, “
Mathematical Modeling of Transport Phenomena in Porous SOFC Anodes
,”
Int. J. Therm. Sci.
,
46
(
1
), pp.
48
56
.
13.
Costamagna
,
P.
,
Costa
,
P.
, and
Antonucci
,
V.
, 1998, “
Micro-modeling of Solid Oxide Fuel Cell Electrodes
,”
Electrochimica Acta
,
43
, pp.
375
394
.
14.
Tanner
,
C. W.
,
Fung
,
K. Z.
, and
Virkar
,
A. V.
, 1997, “
The Effect of Porous Composite Electrode Structure on Solid Oxide Fuel Cell Performance. 1. Theoretical Analysis
,”
J. Electrochem. Soc.
,
144
(
1
), pp.
21
30
.
15.
Virkar
,
A. V.
,
Chen
,
J.
,
Tanner
,
C. W.
, and
Kim
,
J.-W.
, 2000, “
The Role of Electrode Microstructure on Activation and Concentration Polarizations in Solid Oxide Fuel Cells
,”
Solid State Ionics
,
131
(
1–2
), pp.
189
198
.
16.
Zhao
,
F.
, and
Virkar
,
A. V.
, 2005, “
Dependence of Polarization in Anode-Supported Solid Oxide Fuel Cells on Various Cell Parameters
,”
J. Power Sources
,
141
(
1
), pp.
79
95
.
17.
Huang
,
K.
, and
Goodenough
,
J. B.
, 2009,
Solid Oxide Fuel Cell Technology, Principles, Performance and Operations
,
Woodhead Publishing Limited
,
Cambridge, UK
.
18.
Bove
,
R.
, and
Ubertini
,
S.
, 2008,
Modeling Solid Oxide Fuel Cells: Methods, Procedures and Techniques (Fuel Cells and Hydrogen Energy): Methods, Procedures and Techniques
,
N. G. R. C.
Narottam
and
P.
Bansal
, eds.,
Springer Science+Business Media
,
B.V., New York
.
19.
Solheim
,
A.
, and
Nisancioglu
,
K.
, 1991, “
Resistance and Current Distribution in Fuel Cell Elements
,”
Second International Symposium on SOFC
,
Athens, Greece
.
20.
Chan
,
S. H.
,
Khor
,
K. A.
, and
Xia
,
Z. T.
, 2001, “
A Complete Polarization Model of a Solid Oxide Fuel Cell and its Sensitivity to the Change of Cell Component Thickness
,”
J. Power Sources
,
93
(
1–2
), pp.
130
140
.
21.
Achenbach
,
E.
, 1994, “
Three-Dimensional and Time-Dependent Simulation of a Planar Solid Oxide Fuel Cell Stack
,”
J. Power Sources
,
49
(
1–3
), pp.
333
348
.
22.
Barzi
,
Y. M.
, Raoufi, A., Lari, H., Rezaee, M., 2009, “
Numerical Modeling and Performance Study of a SOFC Button Cell
,”
ECS Trans.
,
25
(
2
), pp.
825
838
.
23.
Doherty
,
W.
,
Reynolds
,
A.
, and
Kennedy
,
D.
, 2009, “
Simulation of a Tubular Solid Oxide Fuel Cell Stack Operating on Biomass Syn-gas Using Aspen Plus
,”
ECS Trans.
,
25
(
2
), pp.
1321
1330
.
24.
Petruzzi
,
L.
,
Cocchi
,
S.
, and
Fineschi
,
F.
, 2003, “
A Global Thermo-electrochemical Model for SOFC Systems Design and Engineering
,”
J. Power Sources
,
118
(
1–2
), pp.
96
107
.
25.
Nikooyeh
,
K.
,
Jeje
,
A. A.
, and
Hill
,
J. M.
, 2007, “
3D Modeling of Anode-Supported Planar SOFC With Internal Reforming of Methane
,”
J. Power Sources
,
171
(
2
), pp.
601
609
.
26.
Aguiar
,
P.
,
Adjiman
,
C. S.
, and
Brandon
,
N. P.
, 2004, “
Anode-Supported Intermediate Temperature Direct Internal Reforming Solid Oxide Fuel Cell. I: Model-Based Steady-State Performance
,”
J. Power Sources
,
138
(
1–2
), pp.
120
136
.
27.
Ni
,
M.
,
Leung
,
M. K. H.
, and
Leung
,
D. Y. C.
, 2006, “
An Electrochemical Model of a Solid Oxide Steam Electrolyzer for Hydrogen Production
,”
Chem. Eng. Technol.
,
29
(
5
), pp.
636
642
.
28.
Chan
,
S. H.
, and
Xia
,
Z. T.
, 2002, “
Polarization Effects in Electrolyte/Electrode-Supported Solid Oxide Fuel Cells
,”
J. Appl. Electrochem.
,
32
(
3
), pp.
339
347
.
29.
Patcharavorachot
,
Y.
,
Arpornwichanop
,
A.
, and
Chuachuensuk
,
A.
, 2008, “
Electrochemical Study of a Planar Solid Oxide Fuel Cell: Role of Support Structures
,”
J. Power Sources
,
177
(
2
), pp.
254
261
.
30.
Hosoz
,
M.
,
Ertunc
,
H. M.
, and
Bulgurcu
,
H.
, 2007, “
Performance Prediction of a Cooling Tower Using Artificial Neural Network
,”
Energy Convers. Manage.
,
48
(
4
), pp.
1349
1359
.
31.
Gemmen
,
R. S.
, and
Johnson
,
C. D.
, 2006, “
Evaluation of Fuel Cell System Efficiency and Degradation at Development and During Commercialization
,”
J. Power Sources
,
159
(
1
), pp.
646
655
.
32.
Gemmen
,
R. S.
,
Williams
,
M. C.
, and
Gerdes
,
K.
, 2008, “
Degradation Measurement and Analysis for Cells and Stacks
,”
J. Power Sources
,
184
(
1
), pp.
251
259
.
33.
Todd
,
B.
, and
Young
,
J. B.
, 2002, “
Thermodynamic and Transport Properties of Gases for Use in Solid Oxide Fuel Cell Modeling
,”
J. Power Sources
,
110
(
1
), pp.
186
200
.
34.
Todd
,
B.
, 2003,
Mean Free Path
, available from http://www.docstoc.com/docs/28445712/Mean-Free-Pathhttp://www.docstoc.com/docs/28445712/Mean-Free-Path. (Last accessed 28 March 2011.)
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