On the rationale behind constant fuel utilization control of solid oxide fuel cells

Abstract The optimal energy efficient operating conditions of a solid oxide fuel cell (SOFC) system needs to be studied by considering the whole closed circuit system rather than a standalone study of the cell efficiency. This study is performed in this paper with the aid of steady state models of the SOFC, the after-burner, and the heat exchanger. For the first time, a comprehensive steady state model of the SOFC is developed and validated. A recursive algorithm with two cascaded optimization loops is applied to maximize the SOFC system efficiency and also to obtain the corresponding cell operating conditions. The developed steady state model aids in the implementation of the optimization procedure. Controlling the SOFC system for maximum efficiency operation for variable loads requires complex control laws. However, it is found that an appropriately chosen constant fuel utilization (FU) operation closely approximates the maximum efficiency operation of the fuel cell in its operating range. This is validated through closed-loop dynamic simulations of a bond graph model of the complete SOFC system. Three different commonly used control strategies and their implications on the energy and exergy efficiencies of the system, as well as their transient load following capabilities, are investigated.

[1]  F. Calise,et al.  Design and partial load exergy analysis of hybrid SOFC–GT power plant , 2006 .

[2]  A. Bejan Advanced Engineering Thermodynamics , 1988 .

[3]  Marcel Staroswiecki,et al.  Supervision of an industrial steam generator. Part I: Bond graph modelling , 2006 .

[4]  Fabian Mueller,et al.  Dynamic Simulation of an Integrated Solid Oxide Fuel Cell System Including Current-Based Fuel Flow Control , 2005 .

[5]  S. Chan,et al.  Energy and exergy analysis of simple solid-oxide fuel-cell power systems , 2002 .

[6]  Biao Huang,et al.  Dynamic modeling of solid oxide fuel cell: The effect of diffusion and inherent impedance , 2005 .

[7]  Rowland S. Benson Advanced Engineering Thermodynamics , 1967 .

[8]  Junxiao Wu,et al.  Toward the optimization of operating conditions for hydrogen polymer electrolyte fuel cells , 2006 .

[9]  R. Rosenberg,et al.  System Dynamics: Modeling and Simulation of Mechatronic Systems , 2006 .

[10]  Hasan Hüseyin Erdem,et al.  Exergetic performance coefficient analysis of a simple fuel cell system , 2007 .

[11]  M. A. Rosen,et al.  A thermodynamic investigation of the potential for cogeneration for fuel cells , 1988 .

[12]  Tsung-Kuang Yeh,et al.  Modeling and optimizing the performance of a passive direct methanol fuel cell , 2008 .

[13]  Peter J. Gawthrop,et al.  Thermal modelling using mixed energy and pseudo bond graphs , 1999 .

[14]  Bjarne A. Foss,et al.  Modeling and control of a SOFC-GT-based autonomous power system , 2007 .

[15]  François Maréchal,et al.  A methodology for thermo-economic modeling and optimization of solid oxide fuel cell systems , 2007 .

[16]  Christos A. Frangopoulos,et al.  Development of a model for thermoeconomic design and operation optimization of a PEM fuel cell system , 2006 .

[17]  Christos A. Frangopoulos,et al.  Towards synthesis optimization of a fuel-cell based plant , 1999 .

[18]  A. Kazim Exergy analysis of a PEM fuel cell at variable operating conditions , 2004 .

[19]  Biao Huang,et al.  Control relevant modeling of planer solid oxide fuel cell system , 2007 .

[20]  Urmila M. Diwekar,et al.  Optimizing model complexity with application to fuel cell based power systems , 2007 .

[21]  Forbes T. Brown,et al.  Engineering system dynamics : a unified graph-centered approach , 2006 .

[22]  Frank A. Coutelieris,et al.  On the systematic optimization of ethanol fed SOFC-based electricity generating systems in terms of energy and exergy , 2003 .

[23]  B. Maschke,et al.  Physical modeling and parameter identification of a heat exchanger , 1994, Proceedings of IECON'94 - 20th Annual Conference of IEEE Industrial Electronics.

[24]  Periasamy Vijay,et al.  Bond graph model of a solid oxide fuel cell with a C-field for mixture of two gas species , 2008 .

[25]  Bernhard Maschke,et al.  Bond graph modelling for chemical reactors , 2006 .

[26]  Belkacem Ould Bouamama,et al.  Modelling and Simulation in Thermal and Chemical Engineering , 2000 .

[27]  Marc A. Rosen,et al.  Exergy Analysis of a Fuel Cell Power System for Transportation Applications , 1996, Advanced Energy Systems.

[28]  J. O'm. Bockris Fuel cells and fuel batteries : A guide to their research and development. H.A. Liebhafsky and E.J. Cairns, Wiley, New York (1968) $27.50. , 1969 .

[29]  Ibrahim Dincer,et al.  Thermodynamic analysis of a PEM fuel cell power system , 2005 .

[30]  Mohammad Hassan Saidi,et al.  Optimization of a combined heat and power PEFC by exergy analysis , 2005 .

[31]  Lars Imsland,et al.  Control strategy for a solid oxide fuel cell and gas turbine hybrid system , 2006 .

[32]  K. Kendall,et al.  High temperature solid oxide fuel cells : fundamentals, design and applicatons , 2003 .

[33]  F. T. Brown,et al.  Non-iterative evaluation of multiphase thermal compliances in bond graphs , 2002 .

[34]  Wei-Mon Yan,et al.  Optimization of key parameters in the proton exchange membrane fuel cell , 2006 .

[35]  Woonki Na,et al.  The efficient and economic design of PEM fuel cell systems by multi-objective optimization , 2007 .

[36]  S. Douvartzides,et al.  Exergy analysis of an ethanol fuelled proton exchange membrane (PEM) fuel cell system for automobile applications , 2005 .

[37]  Dean Karnopp,et al.  Bond graph models for electrochemical energy storage : electrical, chemical and thermal effects , 1990 .

[38]  M. A. Rosen,et al.  Comparison based on energy and exergy analyses of the potential cogeneration efficiencies for fuel cells and other electricity generation devices , 1990 .

[39]  Vasilios I. Manousiouthakis,et al.  Global optimization of a simple mathematical model for a proton exchange membrane fuel cell , 2006, Comput. Chem. Eng..

[40]  Nigel P. Brandon,et al.  Anode-supported intermediate-temperature direct internal reforming solid oxide fuel cell. II. Model-based dynamic performance and control , 2005 .

[41]  Dean Karnopp,et al.  Pseudo Bond Graphs for Thermal Energy Transport , 1978 .

[42]  Peter J. Gawthrop,et al.  Systematic construction of dynamic models for phase equilibrium processes , 1991 .