This paper deals with the development of a control-oriented model for simulation of planar solid oxide fuel cells (SOFCs). A hierarchical modeling structure has been set-up to identify a simplified model that allows describing the dynamic behavior of an SOFC with satisfactory accuracy, affordable computational burden and limited amount of experimental data. Particularly in this work, a steady-state relationship that links cell voltage to current density and temperature has been inferred from a phenomenological 1-D model previously developed by the authors. Then, a first order model has been obtained by applying the conservation of energy principle (heat balance) to a lumped control volume that includes air and fuel channels, interconnect and solid tri-layer (i.e., electrolyte and electrodes). A state-space representation of the model also is presented, having the cell outlet temperature and the cell voltage as state and output variables, respectively. Model validation has been conducted by comparing the cell response to load (i.e., current density) variations with data generated by means of a physical comprehensive model previously published by Achenbach. Extensive simulation of the cell dynamic behavior has been performed in order to analyze the main system dynamics with respect to changes in cell temperature, load, excess air and fuel utilization. The results of this analysis will serve as a tool for both optimal design and sizing, as well as for the energy management of hybridized (i.e. supported by batteries or supercap) SOFC-based power generation systems.

1.
Voigt, T.C., 2002, “SECA - The Challenge for Small-Scale, Ultra-Low Cost SOFC Power Systems,” 3rd Annual SECA Workshop (Solid State Energy Conversion Alliance), March 2002, Washington, DC.
2.
Singhal
S. C.
,
2002
, “
Solid oxide fuel cells for stationary, mobile and military applications
,”
Solid State Ionics
,
152–153
, pp.
405
410
.
3.
Aguiar
P.
,
Adjiman
C. S.
,
Brandon
N. P.
,
2004
, “
Anode-supported intermediate temperature direct internal reforming solid oxide fuel cell. I: model-based steady-state performance
,”
Journal of Power Sources
, Vol.
138
, pp.
120
136
.
4.
Arsie, I., Pianese, C., Rizzo, G., Flora, R., and Serra, G., 1999, “A Hierarchical System of Models for the Optimal Design of Control Strategies in Spark Ignition Automotive Engines,” Proc. of 14th IFAC World Congress, Beijing (China), July 5–9, Vol. P, pp. 473–488.
5.
Braun, R. J., 2002, “Optimal Design and Operation of Solid Oxide Fuel Cell Systems for Small-scale Stationary Applications,’’ Ph.D. Thesis, University of Wisconsin, Madison, WI.
6.
Zizelman, J., Shaffer, S., and Mukerjee, S., 2002, “Solid Oxide Fuel Cell Auxiliary Power Unit - A Development Update,” SAE Paper 2002-01-0411.
7.
Lutsey, N., Wallace, J., Brodrick, C.J., Dwyer, H.A., and Sperling, D., 2004, “Modeling Stationary Power for Heavy-Duty Trucks: Engine Idling vs. Fuel Cell APUs,” SAE Paper 2004-01-1479.
8.
Arsie
I.
,
Gambino
M.
,
Pianese
C.
, and
Rizzo
G.
,
1997
, “
Development and Validation of Hierarchical Models for the Design of Engine Control Strategies
,”
Meccanica
,
32
, pp.
397
408
.
9.
Sorrentino, M., Mandourah, A. Y., Petersen, T. F., Guezennec, Y. G., Moran, M. J., and Rizzoni, G., 2004, “A 1-D Planar Solid Oxide Fuel Cell Model for Simulation of SOFC-based Energy Systems,” Proceedings 2004 ASME IMECE, November 13–19, 2004, Anaheim, California USA.
10.
Achenbach
E.
,
1995
, “
Response of a solid oxide fuel cell to load change
,”
Journal of Power Sources
,
57
,
105
105
.
11.
Sedghisigarchi, K., and Feliachi, A., 2004, “Dynamic and Transient Analysis of Power Distribution Systems with Fuel Cells - Part 1: Fuel-Cell Dynamic Model,” IEEE Transactions on Energy Conversion, Vol. 19, No. 2, June 2004.
12.
Haynes, C., 1999, “Simulation of Tubular Solid Oxide Fuel Cell Behavior for Integration Into Gas Turbine Cycles,” Ph.D. Thesis, Georgia Institute of Technology, Atlanta, GA.
13.
Aguiar, P., Adjiman, C. S., Brandon, N. P., 2004, “Response of a Planar Intermediate-Temperature Anode-Supported Direct Internal Reforming Solid Oxide Fuel Cell to Load Changes,” Proceedings of Escape-14, Symposium dedicated to Prof. Roger W. H. Sargent, May 16–19, 2004, Lisbon, Portugal.
14.
Kemm, M., Stiller, C., Selimovic, A., Thorud, B., Torisson, T., and Bolland, O., 2005, “Planar And Tubular Solid Oxide Fuel Cells - Comparison of Transient Process Behaviors,” Q1 - Ninth International Symposium on Solid Oxide Fuel Cells (SOFC IX), May 15–20, 2005, Quebec City, Canada.
15.
Achenbach
E.
,
1994
, “
Three-dimensional and time-dependent simulation of a planar solid oxide fuel cell stack
,”
Journal of Power Sources
,
49
,
333
333
.
16.
Haynes, C. L., and Wepfer, W. J., 2000, “Enhancing Fuel Cell/ Gas Turbine Hybrid Power Systems via Reduced Fuel Utilization within Indirect Internally Reforming (IIR) Fuel Cell Stacks,” Proceedings of the ASME Advanced Energy Systems Division Publication AES, CD-ROM, ASME, New York, Vol. 40, 2000.
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