A review of fractional-order techniques applied to lithium-ion batteries, lead-acid batteries, and supercapacitors
A review of fractional-order techniques applied to lithium-ion batteries, lead-acid batteries, and supercapacitors
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DOI：
10.1016/j.jpowsour.2018.04.033
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发表时间：
2018-06
影响因子：
9.2
通讯作者：
Changfu Zou;Lei Zhang;Xiaosong Hu;Zhenpo Wang;T. Wik;Michael G. Pecht
中科院分区：
文献类型：
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作者：
Changfu Zou;Lei Zhang;Xiaosong Hu;Zhenpo Wang;T. Wik;Michael G. Pecht
电化学储能系统在各种应用中发挥着重要作用，如电气化运输和可再生能源与电网的整合。为了促进基于模型的管理，以充分挖掘系统潜力，适当的数学模型是必不可少的。由于微分导数带来了额外的自由度，分数阶模型可能能够更好地描述电化学系统的动力学行为。本文对用于管理锂离子电池、铅酸电池和超级电容器的分数阶技术进行了重要的概述。从分数阶微积分的基本概念和技术工具入手，通过识别离散动态过程和利用电化学阻抗谱，给出了这些能量系统的建模原理。综合评述了现有的电池/超级电容器模型，并讨论了分数型的优点。两个算例验证了分数阶模型的精度和计算效率。这些模型的精确度比它们的整数阶类似模型高15-30%，但具有合理的复杂性。因此，分数阶模型可以很好地用于开发先进的电池/超级电容器管理系统。最后，指出了分数阶域电化学储能系统建模、状态估计和控制所面临的主要技术挑战和未来的研究方向。
Electrochemical energy storage systems play an important role in diverse applications, such as electrified transportation and integration of renewable energy with the electrical grid. To facilitate model-based management for extracting full system potentials, proper mathematical models are imperative. Due to extra degrees of freedom brought by differentiation derivatives, fractional-order models may be able to better describe the dynamic behaviors of electrochemical systems. This paper provides a critical overview of fractional-order techniques for managing lithium-ion batteries, lead-acid batteries, and supercapacitors. Starting with the basic concepts and technical tools from fractional-order calculus, the modeling principles for these energy systems are presented by identifying disperse dynamic processes and using electrochemical impedance spectroscopy. Available battery/supercapacitor models are comprehensively reviewed, and the advantages of fractional types are discussed. Two case studies demonstrate the accuracy and computational efficiency of fractional-order models. These models offer 15–30% higher accuracy than their integer-order analogues, but have reasonable complexity. Consequently, fractional-order models can be good candidates for the development of advanced battery/supercapacitor management systems. Finally, the main technical challenges facing electrochemical energy storage system modeling, state estimation, and control in the fractional-order domain, as well as future research directions, are highlighted.