Dynamic relaxation: a new optimization method for PEM fuel cell analysis

Shirin Espiari, Majid Aleyaasin

Research output: Chapter in Book/Report/Conference proceedingPublished conference contribution


Sustainability of the membrane conductance in PEM fuel cells is an important issue and determines the performance of the cell. Herein, the relevant numerical analysis is replaced with an optimization procedure. The objective function is energy balance equation and the equality constraints are governing equations of the physical model. In this paper a dynamic relaxation method is proposed which provides a fictitious nonlinear dynamic system model for the fuel cell. Thereafter, by assuming appropriate initial conditions, the steady state solution can be obtained. For any current density, the corresponding temperature in cathode and anode, output voltage of the cell and stack temperature are determined. It is shown that by changing the initial conditions and also the integration method, the convergence into the same steady state values can be guaranteed. It is concluded that dynamic relaxation method which is well known technique in solid mechanics can also be a powerful optimization method for studying the equilibrium in fuel cells. The advantages of this method compared with other techniques are discussed and commented upon.
Original languageEnglish
Title of host publicationElectric Power and Energy Conference (EPEC), 2010 IEEE
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages6
ISBN (Print)9781424481866
Publication statusPublished - 25 Aug 2010
EventElectric Power and Energy Conference (EPEC), 2010 IEEE - Halifax, NS, Canada
Duration: 25 Aug 201027 Aug 2010


ConferenceElectric Power and Energy Conference (EPEC), 2010 IEEE
CityHalifax, NS


  • dynamic relaxation
  • numerical solution
  • PEM fuel cells
  • water management


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