Abstract
The ionomer film and its transport resistances for oxygen are considered to be an important aspect for PEMFC performance. Ionomer film sub-models are therefore frequently used in PEMFC modeling to account for this effect. Mathematically these are expressed by a non-linear equation for the oxygen concentration, which depending on the reaction order cannot be solved analytically. Typically, a numerical solution of this equation, e.g., using the Newton-method is needed. Here, we derive a highly accurate approximate analytical solution for the ionomer film model. This enables faster computation, which is particularly important for computationally demanding higher dimensional PEMFC models.
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