Fuel Cell Mathematical Model

Based on the principles descsribed on our fuel cells performance page and review pages, and in order to calculate heat and power output as well as fuel consumption, we developed a Mathematical Model for fuel cell performance assessment. The model is based on electrochemical engineering fundamentals and has been developed on the following assumptions:

  • Fuel and oxidant are perfect gases.
  • The model can be applied on any type of fuel cells.
  • It considers stationary fuel cells.
  • The fuel is H2 and the oxidant is O2.
  • The conversion of energy occurs isothermally and in constant volume.
  • Temperature and pressure are uniform along the electrodes.
The main calculation stages are given below and the detailed calculations used in each of the spreadsheets given on the respective pages.
Fuel cell mathematical model
Solid Polymer Fuel Cell (SPFC or PEM) Assessment
Phosphoric Acid Fuel Cell (PAFC) Assessment
Solid Oxide Fuel Cell (SOFC) Assessment
Economic Assessment
Environmental Assessment
Overall System Assessment

Index of assessment methods


Calculation stages

External reformers

The efficiency factors associated with external reforming, and how they may be included in the model are described on our page on reformers.




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