Parametric and transient analysis of non-isothermal, planar solid oxide fuel cells

Abstract A multidimensional, model of non-isothermal planar solid oxide fuel cells (SOFCs) including detailed coupled mass and charge transport phenomena, has been developed. The dusty-gas model has been used, in this a comprehensive SOFC model, and has been explicitly written/constructed, for the first time in the COMSOL multiphysics modelling framework to describe mass transport in the porous electrode and detailed charge conservation equations have been taken into account. As we have shown in a recent publication [9] the incorporation of the dusty-gas model results in more accurate predictions of the SOFC behaviour compared to mass transport models based on Fick’s law or Stefan–Maxwell multi-component diffusion. Our model allows prediction of the species composition profiles, temperature profiles, electronic and ionic voltage and current density distributions, and polarisation curves in a single cell. SOFC dynamics have also been considered including responses to step changes in the operating conditions. The model is implemented in two-spatial dimensions, however, the underlying theory is independent of the geometry used. Extensive parametric analysis has been performed and the corresponding SOFC behaviour has been analysed through the resulting polarisation curves. It is shown that SOFCs exhibit higher power outputs at increased operating temperatures and pressures. It was also found that the electrodes’ porosity and tortuosity have a smaller effect on power output. Furthermore, step changes in the inlet temperatures were found to induce slower dynamic behaviours than step changes in the operating voltage.

[1]  Stefano Ubertini,et al.  Experimental and numerical analysis of a radial flow solid oxide fuel cell , 2007 .

[2]  Ioannis K. Kookos,et al.  Modelling mass transport in solid oxide fuel cell anodes: a case for a multidimensional dusty gas-based model , 2008 .

[3]  Markku J. Lampinen,et al.  Analysis of Free Energy and Entropy Changes for Half‐Cell Reactions , 1993 .

[4]  Dennis Y.C. Leung,et al.  Electrochemical modeling and parametric study of methane fed solid oxide fuel cells , 2009 .

[5]  M. Soroush,et al.  Mathematical modeling of solid oxide fuel cells: A review , 2011 .

[6]  Norman Munroe,et al.  PARAMETRIC MODEL OF AN INTERMEDIATE TEMPERATURE PEMFC , 2006 .

[7]  A. Chaisantikulwat,et al.  Dynamic modelling and control of planar anode-supported solid oxide fuel cell , 2008, Comput. Chem. Eng..

[8]  L. Kershenbaum,et al.  Modelling of an indirect internal reforming solid oxide fuel cell , 2002 .

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

[10]  Robert E. Wilson,et al.  Fundamentals of momentum, heat, and mass transfer , 1969 .

[11]  Constantinos Theodoropoulos,et al.  An Input/Output Model Reduction-Based Optimization Scheme for Large-Scale Systems , 2005, Multiscale Model. Simul..

[12]  Guilan Wang,et al.  3-D model of thermo-fluid and electrochemical for planar SOFC , 2007 .

[13]  Randall Gemmen,et al.  Validation and Application of a CFD-Based Model for Solid Oxide Fuel Cells and Stacks , 2003 .

[14]  Norman Munroe,et al.  Three dimensional modeling of high temperature PEM fuel cells , 2006 .

[15]  Marco Sorrentino,et al.  A Review on solid oxide fuel cell models , 2011 .

[16]  C. Adjiman,et al.  Comparison of two IT DIR-SOFC models: Impact of variable thermodynamic, physical, and flow properties. Steady-state and dynamic analysis , 2005 .

[17]  Pandey Handbook of semiconductor electrodeposition , 1996 .

[18]  T. Springer,et al.  Polymer Electrolyte Fuel Cell Model , 1991 .

[19]  Constantinos Theodoropoulos,et al.  Model reduction-based optimization using large-scale steady-state simulators , 2012 .

[20]  James Larminie,et al.  Fuel Cell Systems Explained , 2000 .

[21]  Xingjian Xue,et al.  Transient Modeling of Anode-Supported Solid Oxide Fuel Cells , 2009 .

[22]  Ross Taylor,et al.  Multicomponent mass transfer , 1993 .

[23]  Phillip N. Hutton,et al.  A macro-level model for determining the performance characteristics of solid oxide fuel cells , 2004 .

[24]  Yixiang Shi,et al.  Numerical modeling of an anode-supported SOFC button cell considering anodic surface diffusion , 2007 .

[25]  C. Adjiman,et al.  Anode-supported intermediate temperature direct internal reforming solid oxide fuel cell. I: model-based steady-state performance , 2004 .

[26]  R. Rengaswamy,et al.  A Review of Solid Oxide Fuel Cell (SOFC) Dynamic Models , 2009 .

[27]  I. Dincer,et al.  Mathematical modeling of planar solid oxide fuel cells , 2006 .

[28]  N. Brandon,et al.  Modelling of cells, stacks and systems based around metal-supported planar IT-SOFC cells with CGO electrolytes operating at 500–600 °C , 2005 .

[29]  Anil V. Virkar,et al.  The role of electrode microstructure on activation and concentration polarizations in solid oxide fuel cells , 2000 .

[30]  S. V. Sotirchos,et al.  Multicomponent mass transport in chemical vapor infiltration , 1996 .

[31]  M. Fowler,et al.  Performance comparison of Fick’s, dusty-gas and Stefan–Maxwell models to predict the concentration overpotential of a SOFC anode , 2003 .

[32]  S. Campanari,et al.  Definition and sensitivity analysis of a finite volume SOFC model for a tubular cell geometry , 2004 .

[33]  R. Kee,et al.  A general mathematical model for analyzing the performance of fuel-cell membrane-electrode assemblies , 2003 .

[34]  E. Achenbach Three-dimensional and time-dependent simulation of a planar solid oxide fuel cell stack , 1994 .

[35]  R. Jackson,et al.  Transport in porous catalysts , 1977 .

[36]  Adriana Del Borghi,et al.  Effects of Mass Transport on the Performance of Solid Oxide Fuel Cells Composite Electrodes , 2007 .

[37]  Constantinos Theodoropoulos,et al.  Off-line model reduction for on-line linear MPC of nonlinear large-scale distributed systems , 2011, Comput. Chem. Eng..

[38]  Yann Bultel,et al.  Thermo‐Mechanical Model of Solid Oxide Fuel Cell Fed with Methane , 2006 .

[39]  N. Shikazono,et al.  Numerical analysis of coupled transport and reaction phenomena in an anode-supported flat-tube solid oxide fuel cell , 2008 .

[40]  Stefano Ubertini,et al.  Modeling solid oxide fuel cell operation: Approaches, techniques and results , 2006 .

[41]  Yoshio Matsuzaki,et al.  Evaluation and modeling of performance of anode-supported solid oxide fuel cell , 2000 .

[42]  Constantinos Theodoropoulos,et al.  A linear model predictive control algorithm for nonlinear large‐scale distributed parameter systems , 2012 .

[43]  S. Singhal,et al.  Polarization Effects in Intermediate Temperature, Anode‐Supported Solid Oxide Fuel Cells , 1999 .

[44]  R. E. Cunningham,et al.  Diffusion in Gases and Porous Media , 1980 .

[45]  E. A. Mason,et al.  Gas Transport in Porous Media: The Dusty-Gas Model , 1983 .

[46]  E. Achenbach Response of a solid oxide fuel cell to load change , 1995 .

[47]  On the modified Stefan–Maxwell equation for isothermal multicomponent gaseous diffusion , 2006 .

[48]  Constantinos Theodoropoulos,et al.  A Reduced Input/Output Dynamic Optimisation Method for Macroscopic and Microscopic Systems , 2006 .

[49]  Nigel P. Brandon,et al.  Development of metal supported solid oxide fuel cells for operation at 500–600 °C , 2004 .

[50]  Bengt Sundén,et al.  Three-dimensional computational analysis of gas and heat transport phenomena in ducts relevant for anode-supported solid oxide fuel cells , 2003 .

[51]  M. Verbrugge,et al.  Mathematical model of a gas diffusion electrode bonded to a polymer electrolyte , 1991 .

[52]  Vinod M. Janardhanan,et al.  Modeling Elementary Heterogeneous Chemistry and Electrochemistry in Solid-Oxide Fuel Cells , 2005 .

[53]  R. Reid,et al.  The Properties of Gases and Liquids , 1977 .

[54]  S. Yoshioka,et al.  Dependence of Entropy Change of Single Electrodes on Partial Pressure in Solid Oxide Fuel Cells , 1991 .

[55]  Ibrahim Dincer,et al.  Multi‐component mathematical model of solid oxide fuel cell anode , 2005 .

[56]  Peiwen Li,et al.  Numerical Modeling and Performance Study of a Tubular SOFC , 2004 .