Lebedev I.D.

Moscow Automobile and Road Construction State Technical University (MADI)

Mathematical modeling of a solid oxide fuel cell

https://doi.org/10.58224/2619-0575-2026-9-1-3
Abstract
Objectives: development of a mathematical model to describe the phenomena occurring in a medium-temperature solid oxide fuel cell. Solving the model equations requires finding a number of kinetic parameters, including the rate constants of electrochemical reactions.
Methods. To determine the viscosity of polymer solutions, their molecular weight and to study the adsorption of k-carrageenan on CX, the method of capillary viscometry was used. The assessment of the stability of the zones over time was carried out photometrically.
Results. The mathematical model is based on a system of partial differential equations and includes material and heat balance equations, as well as charge balance relationships. An algorithm for numerically solving the mathematical model equations and a corresponding software module for calculating the equations implemented in the Python programming language have been developed.
Conclusions. The developed mathematical model adequately describes the processes occurring at the electrodes of a medium-temperature fuel cell. The optimal fuel-to-oxidizer ratio was determined to be 1:10.
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