Jc. Amphlett et al., PERFORMANCE MODELING OF THE BALLARD-MARK-IV SOLD POLYMER ELECTROLYTE FUEL-CELL .2. EMPIRICAL-MODEL DEVELOPMENT, Journal of the Electrochemical Society, 142(1), 1995, pp. 9-15
A parametric model predicting the performance of a solid polymer elect
rolyte, proton exchange membrane (PEM) fuel cell has been developed us
ing a combination of mechanistic and empirical modeling techniques. Th
is paper details the empirical analysis which yielded the parametric c
oefficients employed in the model. A 28 run experiment covering a rang
e of operating currents (50 to 300 ASF), temperatures (328 to 358 K),
oxygen partial pressures (0.6 to 3.1 atm abs.) and hydrogen partial pr
essures (2.0 to 3.1 atm abs.) was conducted. Parametric equations for
the activation overvoltage and the internal resistance of the fuel cel
l were obtained from linear regression. The factors to be employed in
the linear regression had been previously determined through a mechani
stic analysis of fuel cell processes. Activation overvoltage was model
ed as a function of the operating temperature, the product of operatin
g temperature, and the logarithm of the operating current, and the pro
duct of operating temperature and the logarithm of the oxygen concentr
ation at the catalyst reaction sites. The internal resistance of the f
uel cell was modeled as a function of the operating temperature and th
e current. Correlation of the empirical model to experimental data was
very good. It is anticipated that the mechanistic validity yielded by
the coupling of mechanistic and empirical modeling techniques will al
so allow for accurate predictive capabilities outside of the experimen
tal range.