Abstract

Proton Exchange Membrane Fuel Cells (PEMFC) is considered a propitious solution for an environmentally friendly energy source. A precise model of PEMFC for accurate identification of its polarization curve and an in-depth understanding of all its operating characteristics attracted the interest of many researchers. In this paper, recent meta-heuristic optimization methods have been successfully applied to evaluate the unknown parameters of PEMFC models, particularly Marine Predators Algorithm (MPA) and Political Optimizer (PO) techniques. The proposed optimization algorithms have been tested on three different commercial PEMFC stacks, namely BCS 500-W, SR-12PEM 500 W, and 250 W stack under various operating conditions. The sum of square errors (SSE) between the results obtained by the application of the estimated parameters and the experimentally measured results of the fuel cell stacks was considered as the objective function of the optimization problem. In order to validate the effectiveness of the proposed methods, the results are compared with those obtained in the literature. Moreover, the I/V curves obtained by the application of MPA and PO showed a clear matching with datasheet curves for all the studied cases. Statistical analysis has been performed to evaluate the robustness of the MPA and PO techniques. Finally, the PEMFC model based on the MPA technique surpasses all compared algorithms in terms of the solution accuracy and the convergence speed. The obtained results confirmed the superiority and reliability of the applied approach of the MPA algorithm. The results prove that the MPA algorithm has a superior performance based on its reliability.

Highlights

  • The greenhouse gases and the depletion of fossil fuels have provoked the governments and industries to invest more in renewable energy sources (RES) such as PV, Wind, Tidal, Wave . . . etc

  • This paper comprises the formulation of an optimization problem, which is devoted to optimal identification of the seven unknown parameters of the Proton Exchange Membrane Fuel Cells (PEMFC)

  • The Marine Predators Algorithm (MPA) and Political Optimizer (PO) optimization techniques have been utilized for solving the optimization problem, while the fitness function is presented by the sum of square errors (SSE) between the actual and estimated models

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Summary

INTRODUCTION

The greenhouse gases and the depletion of fossil fuels have provoked the governments and industries to invest more in renewable energy sources (RES) such as PV, Wind, Tidal, Wave . . . etc. Due to its sufficient way to obtain optimum solutions for complicated problems, Meta-heuristics can be adapted to provide robust parameter estimation for fuel cell modeling. A hybrid combination set between teaching learning-based optimization method (TLBO) and Differential Evaluation Algorithm (DE) is introduced in [14] to obtain a proper estimation for the parameter model of PEMFC. According to [21], the hybrid optimizer based on the vortex search algorithm (VSA) and differential evolution (DE) has been developed to evaluate the optimum uncertain parameters of the PEMFC Both VSA and DE had been incorporated to increase the attitude of VSA preventing its local-optima by promoting the operating of exploitation followed in VSA based on DE. Jmax denote the current density and the maximum current density (A cm−2), respectively

OBJECTIVE FUNCTION
INTERMEDIATE-PHASE
EXPLOITATION-PHASE
PARTY FORMATION AND CONSTITUENCY ALLOCATION
RESULTS
CONCLUSION AND FUTURE DIRECTIONS
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