In this paper we perform a model-based analysis of a solid oxide fuel cell (SOFC) system with an integrated steam reformer and with methane as a fuel. The objective of this study is to analyze the steady-state and transient characteristics of this system. For the analysis, we develop a detailed control-oriented model of the system that captures the heat and mass transfer, chemical kinetics, and electrochemical phenomena. We express the dynamics of the reformer and the fuel cell in state-space form. By applying coordinate transformations to the state-space model, we derive analytical expressions of steady-state conditions and transient behaviors of two critical performance variables, namely, fuel utilization and steam-to-carbon balance. Using these results, we solve a constrained steady-state fuel optimization problem using linear programming. Our analysis is supported by simulations. The results presented in this paper can be applied in predicting steady-state conditions and certain transient behaviors and will be useful in control development for SOFC systems.
Issue Section:
Research Papers
1.
Aguiar
, P.
, Adjiman
, C. S.
, and Brandon
, N. P.
, 2005, “Anode Supported Intermediate-Temperature Direct Internal Reforming Solid Oxide Fuel Cell, II. Model-Based Dynamic Performance and Control
,” J. Power Sources
0378-7753, 147
, pp. 136
–147
.2.
Campanari
, S.
, and Iora
, P.
, 2005, “Comparison of Finite Volume SOFC Models for the Simulation of a Planar Cell Geometry
,” Fuel Cells
0532-7822, 5
, pp. 34
–51
.3.
Lu
, N.
, Li
, Q.
, Sun
, X.
, and Khaleel
, M. A.
, 2006, “The Modeling of a Standalone Solid-Oxide Fuel Cell Auxiliary Power Unit
,” J. Power Sources
0378-7753, 161
, pp. 938
–948
.4.
Xi
, H.
, Sun
, J.
, and Tsourapas
, V.
, 2007, “A Control Oriented Low Order Dynamic Model for Planar SOFC Using Minimum Gibbs Free Energy Method
,” J. Power Sources
0378-7753, 165
, pp. 253
–266
.5.
Hall
, D. J.
, and Colclaser
, R. G.
, 1999, “Transient Modeling and Simulation of a Tubular Solid Oxide Fuel Cell
,” IEEE Trans. Energy Convers.
0885-8969, 14
(3
), pp. 749
–753
.6.
Kandepu
, R.
, Imsland
, L.
, Foss
, B. A.
, Stiller
, C.
, Thorud
, B.
, and Bolland
, O.
, 2007, “Modeling and Control of a SOFC-GT-Based Autonomous Power System
,” Energy
0360-5442, 32
, pp. 406
–417
.7.
Lazzaretto
, A.
, Toffolo
, A.
, and Zanon
, F.
, 2004, “Parameter Setting for a Tubular SOFC Simulation Model
,” ASME J. Energy Resour. Technol.
0195-0738, 126
, pp. 40
–46
.8.
Li
, P.
, and Chyu
, M. K.
, 2003, “Simulation of the Chemical/Electrochemical Reactions and Heat/Mass Transfer for a Tubular SOFC in a Stack
,” J. Power Sources
0378-7753, 124
, pp. 487
–498
.9.
Mueller
, F.
, Brouwer
, J.
, Jabbari
, F.
, and Samuelsen
, S.
, 2006, “Dynamic Simulation of an Integrated Solid Oxide Fuel Cell System Including Current-Based Fuel Flow Control
,” ASME J. Fuel Cell Sci. Technol.
1550-624X, 3
, pp. 144
–154
.10.
Xue
, X.
, Tang
, J.
, Sammes
, N.
, and Du
, Y.
, 2005, “Dynamic Modeling of Single Tubular SOFC Combining Heat/Mass Transfer and Electrochemical Reaction Effects
,” J. Power Sources
0378-7753, 142
, pp. 211
–222
.11.
Achenbach
, E.
, and Riensche
, E.
, 1994, “Methane/Steam Reforming Kinetics for Solid Oxide Fuel Cells
,” J. Power Sources
0378-7753, 52
, pp. 283
–288
.12.
Xu
, J.
, and Froment
, G. F.
, 1989, “Methane Steam Reforming, Methanation and Water-Gas Shift: I. Intrinsic Kinetics
,” AIChE J.
0001-1541, 35
(1
), pp. 88
–96
.13.
Achenbach
, E.
, 1995, “Response of a Solid Oxide Fuel Cell to Load Change
,” J. Power Sources
0378-7753, 57
, pp. 105
–109
.14.
Ferrari
, M. L.
, Traverso
, A.
, Magistri
, L.
, and Massardo
, A. F.
, 2005, “Influence of Anodic Recirculation Transient Behavior on the SOFC Hybrid System Performance
,” J. Power Sources
0378-7753, 149
, pp. 22
–32
.15.
Sedghisigarchi
, K.
, and Feliachi
, A.
, 2004, “Dynamic and Transient Analysis of Power Distribution Systems With Fuel Cells-Part 1: Fuel-Cell Dynamic Model
,” IEEE Trans. Energy Convers.
0885-8969, 19
(2
), pp. 423
–428
.16.
Mazumder
, S. K.
, Pradhan
, S. K.
, Acharya
, K.
, Hartvigsen
, J.
, von Spakovsky
, M. R.
, and Haynes
, C.
, 2004, “Load Transient Mitigation Techniques for Solid-Oxide Fuel Cell (SOFC) Power-Conditioning System
,” INTELEC 2004
, 26th Annual International Telecommunications Energy Conference
, pp. 174
–181
.17.
Karnik
, A. Y.
, and Sun
, J.
, 2005, “Modeling and Control of an Ejector Based Anode Recirculation System for Fuel Cells
,” Proceedings of the ASME Fuel Cell Conference
, ASME, New York, pp. 721
–731
.18.
Wark
, K.
, 1988, Thermodynamics
, 5th ed., McGraw-Hill
, New York
.19.
Incropera
, F. P.
, and DeWitt
, D. P.
, 2002, Fundamentals of Heat and Mass Transfer
, 5th ed., Wiley
, New York
.20.
Bove
, R.
, Lunghi
, P.
, and Sammes
, N. M.
, 2005, “SOFC Mathematic Model for Systems Simulations-Part 2: Definition of an Analytical Model
,” Int. J. Hydrogen Energy
0360-3199, 30
, pp. 189
–200
.21.
Li
, X.
, 2006, Principles of Fuel Cells
, Taylor & Francis
, New York
.22.
Roberts
, R. A.
, and Brouwer
, J.
, 2006, “Dynamic Simulation of a Pressurized 220 kW Solid Oxide Fuel Cell-Gas Turbine Hybrid System: Modeled Performance Compared to Measured Results
,” ASME J. Fuel Cell Sci. Technol.
1550-624X, 3
, pp. 18
–25
.23.
Larminie
, J.
, and Dicks
, A.
, 2003, Fuel Cell Systems Explained
, 2nd ed., Wiley
, New York
.24.
Roberts
, C. A.
, George
, R. A.
, Veyo
, S. E.
, and Casanova
, A. C.
, 2000, “Demonstrations: The Bridge to Commercialization for the SOFC
,” Electricity Today Magazine, http://www.electricity-today.comhttp://www.electricity-today.com, Jun.Copyright © 2010
by American Society of Mechanical Engineers
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