A dynamic 1D model of a solid oxide fuel cell for real time simulation

Abstract A 1D dynamic solid oxide fuel cell (SOFC) model has been developed for real time applications. The model accounts for all transport and polarization phenomena by developing a system of governing differential equations over 1D control volumes. The 1D model is an improvement over existing 0D real time models in that it can more accurately predict the temperature and pressure variations along the cell while maintaining real time capabilities with regards to computational time. Several simplifications are required to maintain real time capabilities while improving the fidelity of the model. It was found that a 1D model with 21 nodes performs each time dependent computation in 3.8 ms. Results show that activation overpotentials account for most of the total cell overpotential, and that temperature variations across this particular cell exceed 100 K. Depending on the gas channel configuration, the pumping power required to supply air and fuel to the cell can be in the same order of magnitude as the power produced by the fuel cell. It is shown that the use of fewer channels with larger cross-sectional areas, reduces the pressure drop due to wall friction, and hence reduces the required pumping power.

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

[2]  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 .

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

[4]  G. S. Samuelsen,et al.  Power and temperature control of fluctuating biomass gas fueled solid oxide fuel cell and micro gas turbine hybrid system , 2006 .

[5]  Jack Brouwer,et al.  Control design of an atmospheric solid oxide fuel cell/gas turbine hybrid system: Variable versus fixed speed gas turbine operation , 2006 .

[6]  Jacob Brouwer,et al.  Development of a Solid-Oxide Fuel Cell/Gas Turbine Hybrid System Model for Aerospace Applications , 2004 .

[7]  S. Cocchi,et al.  A global thermo-electrochemical model for SOFC systems design and engineering , 2003 .

[8]  Paola Costamagna,et al.  Modeling of Solid Oxide Heat Exchanger Integrated Stacks and Simulation at High Fuel Utilization , 1998 .

[9]  K. Wark,et al.  Advanced thermodynamics for engineers , 1994 .

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

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

[12]  N. Bessette,et al.  A Mathematical Model of a Solid Oxide Fuel Cell , 1995 .

[13]  Roberto Bove,et al.  Reliable Fuel Cell Simulation Using an Experimentally Driven Numerical Model , 2002 .

[14]  Stefano Campanari,et al.  Thermodynamic model and parametric analysis of a tubular SOFC module , 2001 .

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

[16]  Rory A. Roberts,et al.  Dynamic Simulation of a Pressurized 220kW Solid Oxide Fuel-Cell–Gas-Turbine Hybrid System: Modeled Performance Compared to Measured Results , 2006 .

[17]  Steven Beale,et al.  Computer methods for performance prediction in fuel cells , 2003 .

[18]  Faryar Jabbari,et al.  Technical Development Issues and Dynamic Modeling of Gas Turbine and Fuel Cell Hybrid Systems , 1999 .