A recurrent formula for calculating an impedance of the cathode catalyst layer in a polymer electrolyte fuel cell





polymer electrolyte fuel cell, impedance, modeling


A recurrent formula for estimating an impedance of the cathode catalyst layer with fast oxygen transport in a polymer electrolyte fuel cell is derived. The catalyst layer is divided into N sub-layers and application of the charge conservation law enables to obtain the nonlinear recurrent relation Zn = f(Zn-1), where Zn is the accumulated impedance of all sub-layers up to the n-th one. Numerical solution of this relation gives the total impedance of the catalyst layer with taking into account variation of the static overpotential of the oxygen reduction reaction along the depth of this layer. The model is simple, robust and two orders of magnitude faster than the standard model based on numerical solution of the differential equation.

Author Biography

Andrei A. Kulikovsky

Forschungszentrum Jülich GmbH,
Institute of Energy and Climate Research (IEK)
Wilhelm-Johnen-Straße, D–52425, Jülich, Germany
• Guest Scientist


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How to Cite

Kulikovsky A.A. A Recurrent Formula for Calculating an Impedance of the Cathode Catalyst Layer in a Polymer Electrolyte Fuel Cell // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2023. 24. 127-131. doi 10.26089/NumMet.v24r209



Methods and algorithms of computational mathematics and their applications