Modeling of Proton Exchange Membrane Fuel Cell Performance with an Empirical Equation

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Abstract
An empirical equation was shown to fit the experimental cell potential vs. current density data for proton exchange membrane fuel cells (PEMFCs), at several temperatures, pressures, and oxygen compositions in the cathode gas mixture. The exponential term compensates for the mass‐transport regions of the vs. plot; i.e., the increase in slope of the pseudolinear region and the subsequent rapid fall‐off of the cell potential with increasing current density. As has been previously shown, the terms and yield the electrode kinetic parameters for oxygen reduction in the PEMFC and represents the resistance, predominantly ohmic and, to a small extent, the charge‐transfer resistance of the electro‐oxidation of hydrogen. The exponential term characterizes the mass‐transport region of the vs. plot. The parameter has more pronounced effects than the parameter in this region. A physicochemical interpretation of these parameters is needed.

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