Dynamic modeling of a proton-exchange membrane fuel cell using a gaussian approach

Catalina González-Castaño, Leandro L. Lorente-Leyva, Janeth Alpala, Javier Revelo-Fuelagán, Diego H. Peluffo-Ordóñez, Carlos Restrepo

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


This paper proposes a Gaussian approach for the proton-exchange membrane fuel cell (PEMFC) model that estimates its voltage behavior from the operating current value. A multi-parametric Gaussian model and an unconstrained optimization formulation based on a conventional non-linear least squares optimizer is mainly considered. The model is tested using experimental data from the Ballard Nexa 1.2 kW fuel cell (FC). This methodology offers a promising approach for static and current-voltage, characteristic of the three regions of operation. A statistical study is developed to evaluate the effectiveness and superiority of the proposed FC Gaussian model compared with the Diffusive Global model and the Evolution Strategy. In addition, an approximation to the exponential function for a Gaussian model simplification can be used in systems that require real-time emulators or complex long-time simulations.

Original languageEnglish
Article number953
Issue number12
Publication statusPublished - Dec 2021


  • Diffusive model
  • Evolution strategy
  • Gaussian model
  • Proton exchange membrane fuel cell
  • Voltage-current dynamic response

ASJC Scopus subject areas

  • Chemical Engineering (miscellaneous)
  • Process Chemistry and Technology
  • Filtration and Separation


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