A one-dimensional transient model of a tubular solid oxide fuel cell stack is proposed in this paper. The model developed in the virtual test bed (VTB) computational environment is capable of dynamic system simulation. This model is based on the electrochemical and thermal modeling, accounting for the voltage losses and temperature dynamics. The single cell is discretized using a finite volume method where all the governing equations are solved for each finite volume. The temperature, the current density, and the gas concentration distribution along the axial direction of the cell are presented. The dynamic behavior of electrical characteristics and temperature under the variable load is simulated and analyzed. For easy implementation in the VTB platform, the nonlinear governing equations are discretized in resistive companion form. The developed model is validated with experimental results and can be used for dynamic performance evaluation and design optimization of the cell under variable operating conditions and geometric condition.

1.
Selimovic
,
A.
, and
Palsson
,
J.
, 2002, “
Networked Solid Oxide Fuel Cell Stacks Combined With a Gas Turbine Cycle
,”
J. Power Sources
0378-7753,
4663
, pp.
1
7
.
2.
Hirschenhofer
,
J. H.
,
Stauffer
,
D. B.
,
Engleman
,
R. R.
, and
Klett
,
M. G.
, 1998,
Fuel Cell HandBook
, 4th ed.,
Parsons Corporation
,
Reading, PA
, for U.S. Department of Energy.
3.
Chan
,
S. H.
,
Ho
,
H. K.
, and
Tian
,
Y.
, 2003, “
Multi-Level Modeling of SOFC-Gas Turbine Hybrid System
,”
Int. J. Hydrogen Energy
0360-3199,
28
, pp.
889
900
.
4.
Lazzaretto
,
A.
,
Toffolo
,
A.
, and
Zanon
,
F.
, 2004, “
Parameter Setting for a Tubular SOFC Simulation Model
,”
ASME
, Vol.
126
, Mar.
5.
Padulles
,
J.
,
Ault
,
G. W.
, and
McDonald
,
J. R.
, 2000, “
An Integrated SOFC Plant Dynamic Model for Power System Simulation
,”
J. Power Sources
0378-7753,
86
, pp.
495
500
.
6.
Sedghisigarchi
,
K.
, 2004, “
Dynamic and Transient Analysis of Power Distribution Systems With Fuel Cells-Part I: Fuel-Cell Dynamic Model
,”
IEEE Trans. Energy Convers.
0885-8969,
19
(
2
), pp.
423
428
.
7.
Jiang
,
W.
,
Fang
,
R.
,
Khan
,
J. A.
, and
Dougal
,
R. A.
, 2006, “
Parameter Setting and Analysis of a Dynamic Tubular SOFC Model
,”
J. Power Sources
0378-7753,
162
(
1
), pp.
316
326
.
8.
Cokkinides
,
G.
, and
Beker
,
B.
, 2003,
VTB Model Developer’s Guide
, available online http://vtb.engr.sc.edu/modellibrary/modeldev.asphttp://vtb.engr.sc.edu/modellibrary/modeldev.asp.
9.
Jiang
,
W.
,
Khan
,
J.
, and
Dougal
,
R. A.
, 2005, “
Dynamic Centrifugal Compressor Model for System Simulation
,”
J. Power Sources
0378-7753,
158
(
2
), pp.
1333
1343
.
10.
Cokkinides
,
G.
, and
Beker
,
B.
, 1998,
RC and AC Models in the VTB Time Domain Solver
, The VTB Documentation, Dec. 4.
11.
Achenbach
,
E.
, 1994, “
Three Dimensional and Time Dependent Simulation of a Planar Solid Oxide Fuel Cell Stack
,”
J. Power Sources
0378-7753,
49
, pp.
333
348
.
12.
Blomen
,
L. J.
, and
Mugerwa
,
M. N.
, 1993,
Fuel Cell Systems
,
Plenum
,
New York
.
13.
Reid
,
R. C.
,
Prausnitz
,
J. M.
, and
Poling
,
B. E.
, 1987,
The Properties of Gases and Liquids
,
McGraw-Hill
,
New York
.
14.
Hall
,
D. J.
, and
Colclaser
,
R. G.
, 1999, “
Transient Modeling and Simulation of Tubular Solid Oxide Fuel Cells
,”
IEEE Trans. Energy Convers.
0885-8969,
14
(
3
), pp.
749
753
.
15.
2000,
Fuel Cell HandBook
, 5th ed.,
EG&G Services Parsons Inc.
,
Reading, PA
, U.S. Department of Energy.
16.
Lukas
,
M. D.
,
Lee
,
K. Y.
, and
Ghezel-Ayagh
,
H.
, 2001, “
An Explicit Dynamic Model for Direct Reforming Carbonate Fuel Cell Stack
,”
IEEE Trans. Energy Convers.
0885-8969,
16
(
3
), pp.
289
295
.
17.
Bessett
,
N. F.
, 1994, “
Modeling and Simulation for Solid Oxide Fuel Cell Power Systems
,” Ph.D. thesis, Georgia Institute of Technology, Atlanta.
18.
Rokni
,
M.
, and
Yuan
,
J.
, 1994, “
The Development of Heat Transfer and Gas Flow Modeling in the Solid Oxide Fuel Cells (SOFC)
,”
Proceeding from Electrochemical Society, SOFC-VI
,
Honolulu
,
HI
, Oct.
19.
Hirschenhofer
,
J. H.
,
Stauffer
,
D. B.
,
Engleman
,
R. R.
, and
Klett
,
M. G.
, 1998,
Fuel Cell Handbook
, 4th ed.,
FETC
,
Morgantown, WV
.
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