Dynamic modeling of a solid oxide fuel cell system in Modelica

Daniel Andersson
Modelon AB, Sweden

Erik Åberg
Modelon AB, Sweden

Jonas Eborn
Modelon AB, Sweden

Jinliang Yuan
Department of Energy Science, Lund University, Sweden

Bengt Sundén
Department of Energy Science, Lund University, Sweden

Ladda ner artikelhttp://dx.doi.org/10.3384/ecp11063593

Ingår i: Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Linköping Electronic Conference Proceedings 63:66, s. 593-602

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Publicerad: 2011-06-30

ISBN: 978-91-7393-096-3

ISSN: 1650-3686 (tryckt), 1650-3740 (online)


In this study a dynamic model of a solid oxide fuel cell (SOFC) system has been developed. The work has been conducted in a cooperation between the Department of Energy Sciences; Lund University; and Modelon AB using the Modelica language and the Dymola modeling and simulation tool. The objective of the study is to investigate the suitability of the Modelica language for dynamic fuel cell system modeling.

Fuel cell system modeling requires a flexible modeling tool that can handle electronics; chemistry; thermodynamics and the interaction between these. The core of the fuel cell is the electrolyte and the electrodes. The cell voltage generated depends on the fluid molar compositions in the anode and cathode channels. The internal resistance varies depending on several cell properties. The electrical current through the cell varies over the cell area and is coupled to the rate of the chemical reactions taking place on the electrode surface. Other parts of the system that is also included in the model are pre-processing of the fuel; combustion of the fuel remaining after passing through the cell and heat recovery from the exhaust gas.

A cell electrolyte model including ohmic; activation and concentration irreversibilities is implemented and verified against simulations and experimental data presented in the open literature. A 1D solid oxide fuel cell model is created by integrating the electrolyte model and a 1D fuel flow model; which includes dynamic internal steam reforming of methane and water-gas shift reactions. Several cells are then placed with parallel flow paths and connected thermally and electrically in series. By introducing a manifold pressure drop; a stack model is created. This stack model is applied in a complete fuel cell system model including an autothermal reformer; a catalytic afterburner; a steam generator and heat exchangers. Four reactions are modeled in the autothermal reformer; two types of methane steam reforming; the water-gas shift reaction and total combustion of methane. Several simulations of systems and individual components have been performed; and when possible been compared with results in the literature. It can be concluded that the models are accurate and that Dymola and Modelica are tools well suited for simulations of the observed transient fuel cell system behaviour.


SOFC; fuel cell; system model; dynamic reaction; reforming


[1] J. Larminie and A. Dicks. Fuel Cell Systems Explained; Second Edition. Wiley; 2003. ISBN 0-470-84857-X.

[2] M. Kemm. Dynamic Solid Oxide Fuel Cell Modelling for Non-steady State Simulation of System Applications. PhD thesis; Division of Thermal Power Engineering; Lund University; 2006.

[3] S.H. Chan; H.K. Ho; and Y. Tian. Modelling of simple hybrid solid oxide fuel cell and gas turbine power plant. Journal of Power Sources; 109:111–120; 2002. doi: 10.1016/S0378-7753(02)00051-4.

[4] J. Saarinen; M. Halinen; J. Ylijoki; M. Noponen; P. Simell; and J.Kiviaho. Dynamic model of 5 kW SOFC CHP test station. Journal of Fuel Cell Science and Technology; 4:397–405; 2007. doi: 10.1115/1.2759502.

[5] P. Costamagna; A. Selimovic; M. Del Borghi; and G. Agnew. Electrochemical model of the integrated planar solid oxide fuel cell (IPSOFC). Chemical Engineering Journal; 102:61–69; 2004. doi: 10.1016/j.cej.2004.02.005.

[6] E. Fontell; T. Kivisaari; N. Christiansen; J.-B. Hansen; and J. Pålsson. Conceptual study of a 250 kW planar SOFC system for CHP application. Journal of Power Sources; 131:49–56; 2004. doi: 10.1016/j.jpowsour.2004.01.025.

[7] M.H. Halabi; M.H.J.M. de Croon; J. van der Schaaf; P.D. Cobden; and J.C. Schouten. Modeling and analysis of autothermal reforming of methane to hydrogen in a fixed bed reformer. Chemical Engineering Journal; 137:568–578; 2008. doi: 10.1016/j.cej.2007.05.019.

[8] Ann M. De Groote and Gilbert F. Froment. Simulation of the catalytic partial oxidation of methane to synthesis gas. Applied Catalysis A: General; 138:245–264; 1996. doi: 10.1016/0926-860X(95)00299-5.

[9] Krzysztof Gosiewski; Ulrich Bartmann; Marek Moszczy´nski; and Leslaw Mleczko. Effect of the intraparticle mass transport limitations on temperature profiles and catalytic performance of the reverse-flow reactor for the partial oxidation of methane to synthesis gas. Chemical Engineering Science; 54:4589–4602; 1999. doi: 10.1016/S0009-2509(99)00132-3.

[10] Daniel Andersson and Erik Åberg. Dynamic modeling of a solid oxide fuel cell system in Modelica. Master’s thesis; Department of Energy Sciences; Lund University; 2010.

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