Moth flame-random search optimization of a zero-dimensional model of a proton exchange membrane fuel cell

Ali Maroosi, Amir Mohammadbeigi
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Abstract

Modelling of proton exchange membrane fuel cell (PEMFC) is important for better understanding, simulation, and design of high-efficiency fuel cell systems. PEMFC models are often multivariate with several nonlinear elements. Metaheuristic algorithms that are successful in solving nonlinear optimization problems are good candidates for this purpose. This study proposes a new metaheuristic algorithm called MFORS that uses the advantages of the moth-flame optimization algorithm in global search and the non-deterministic properties of the random search algorithm to identify the optimal parameters of the PEMFC model. The sum of squared errors between the estimated and measured voltage is a quality of fit criterion. To show the effectiveness of the proposed algorithm, two case studies of zero-dimensional models of SR-12 Modular PEM Generator and Ballard Mark V fuel cell are considered. The sum of squared errors for the parameter estimated of electrical PEMFCs by the proposed MFORS algorithm is compared with recent works. The results showed that by the MFORS algorithm, the minimum sum of absolute errors of the actual stack voltage and the simulated stack voltage in the two PEMFC are 0.095037 and 0.018019, compared with the second-best algorithm results giving 0.09681 and 0.8092, respectively.
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质子交换膜燃料电池零维模型的蛾焰随机搜索优化
质子交换膜燃料电池(PEMFC)的建模对于更好地理解、模拟和设计高效燃料电池系统非常重要。质子交换膜燃料电池模型通常是包含多个非线性元素的多变量模型。能够成功解决非线性优化问题的元启发式算法是实现这一目的的良好候选方案。本研究提出了一种名为 MFORS 的新元启发式算法,该算法利用蛾焰优化算法在全局搜索中的优势和随机搜索算法的非确定性特性来确定 PEMFC 模型的最优参数。估计电压与测量电压之间的平方误差之和是拟合质量标准。为了证明所提算法的有效性,我们对 SR-12 模块化 PEM 发电机和 Ballard Mark V 燃料电池的两个零维模型进行了案例研究。将拟议的 MFORS 算法估算的 PEMFC 电参数的平方误差总和与最近的研究成果进行了比较。结果表明,通过 MFORS 算法,两个 PEMFC 的实际堆栈电压和模拟堆栈电压的绝对误差之和最小,分别为 0.095037 和 0.018019,而次佳算法的结果分别为 0.09681 和 0.8092。
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