Abstract In this paper, an interval arithmetic-based method for parameters identification of a fuel cell equivalent circuit is presented. The fuel cell experimental impedance spectrum, acquired through the electrochemical impedance spectroscopy (EIS), is identified using interval-valued parameters of the fuel cell Fouquet model. The method is based on a branch-and-bound technique, further enhanced using the sensitivity in the segmentation steps. The proposed algorithm is optimised to reduce computational burden and storage memory demand to speed up the computation time and enable onboard applications on fuel cells through embedded system. The result naturally takes into account the uncertainties and noise affecting the impedance measurements. This method easily allows to define a safe operating area for the fuel cell, based on the parameter intervals identified in normal operating conditions. Hence, it is easy to compare the parameter intervals associated to a newly acquired spectrum and check whether they fall out from the safe operating area. This might be considered as a symptom of abnormal operating condition, enabling fuel cell diagnosis, more detailed analyses, and the activation of mitigation and protection strategies.

中文翻译：

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基于区间算法的燃料电池阻抗参数辨识改进数学方法

摘要 本文提出了一种基于区间算法的燃料电池等效电路参数辨识方法。通过电化学阻抗谱 (EIS) 获得的燃料电池实验阻抗谱使用燃料电池 Fouquet 模型的区间值参数进行识别。该方法基于分支定界技术，使用分割步骤中的灵敏度进一步增强。所提出的算法经过优化，以减少计算负担和存储内存需求，以加快计算时间并通过嵌入式系统实现燃料电池的车载应用。结果自然会考虑影响阻抗测量的不确定性和噪声。这种方法可以轻松定义燃料电池的安全操作区域，基于在正常操作条件下确定的参数区间。因此，很容易比较与新获取的频谱相关的参数区间并检查它们是否脱离安全操作区域。这可能被视为异常运行条件的征兆，从而能够进行燃料电池诊断、更详细的分析以及缓解和保护策略的激活。