Single-Chamber Fuel Cell Models. D. G. Goodwin, Caltech. Develop validated physics-based models of SCFC operation Use models along with test results to develop understanding of factors determining performance Use to aid in design optimization. Multiple models. Computational expense.
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D. G. Goodwin, Caltech
Seconds on a laptop PC
Minutes on a linux workstation
Minutes to hours
No consideration of gas flow
Approximate equilibrium treatment of hydrocarbon oxidation
Includes diffusion through electrodes, activation polarizations, ohmic losses
Can compute current-voltage curves
Written in a simple scripting language (Python)
Uses the Cantera software package to evaluate thermodynamic and transport properties, and compute chemical equilibrium (www.cantera.org)
Good for semi-quantitative parametric studiesModel 1: a “zero-dimensional” fuel cell model
Uniform anode-side gasIdealized Geometry
1 - Feq
Input: 1:3:12 C3H8/O2/He
Assumed uniform gas composition
electrodeTransport through electrodes
Value for GDC used
Accurate modeling of transport limit requires more accurate treatment of transport processes – see Model 2 results
Catalysts must have reasonable selectivity for electrochemical reactions in order for SCFC to function
Anode parametersModel Geometry
Cathode-side flow channel
Fuel / air mixture
Anode-side flow channel
Species equations finite-differenced and integrated in time to steady state.
Porous electrodes handled by locally modifying diffusion coefficients
Species equations solved simultaneously with equation for current densityMathematical Model
reactants to steady state.
reactionPorous Electrode Transport
This velocity profile is imposed, based on known solution for viscous fully-developed flow
Cathode on right
Anode on left