In this paper, a circuit-based model of proton exchange membrane fuel cell (PEMFC) is developed for optimal selection of the model parameters. The optimization is based on using an improved version of Monarch Butterfly Optimization (IMBO) algorithm for minimizing the Integral Time Absolute Error between the measured output voltage and the output voltage of the achieved model. For validation of the proposed method, two different case studies including 6 kW NedSstack PS6 and 2 kW Nexa FC PEMFC stacks have been employed and the results have been compared with the experimental data and some well-known metaheuristics including Chaotic Grasshopper Optimization Algorithm (CGOA), Grass Fibrous Root Optimization Algorithm (GRA), and basic Monarch Butterfly Optimization (MBO) to indicate the superiority of the proposed method against the compared methods. Final results show a satisfying agreement between the proposed IMBO and the experimental data.

本文针对质子交换膜燃料电池（PEMFC）的电路模型进行了开发，以优化模型参数的选择。该优化基于改进的Monarch Butterfly Optimization（IMBO）算法版本，用于最小化实测输出电压与所实现模型的输出电压之间的积分时间绝对误差。为了验证所提出的方法，已使用了两个不同的案例研究，包括6 kW NedSstack PS6和2 kW Nexa FC PEMFC堆栈，并将结果与​​实验数据和一些著名的元启发式方法进行了比较，包括混沌蚱hopper优化算法（CGOA） ，草纤维根优化算法（GRA）和基本君主蝴蝶优化（MBO）来表明所提出的方法相对于比较方法的优越性。