Fractional-order models of supercapacitors, batteries and fuel cells: a survey

By Todd J. Freeborn, Brent J. Maundy, Ahmed S. Elwakil. Materials for Renewable and Sustainable Energy, 2015

205 citations recorded by the source corpus.

This paper surveys fractional-order electric circuit models that have been reported in the literature to best fit experimentally collected impedance data from energy storage and generation elements, including super-capacitors, batteries, and fuel cells. In all surveyed models, the employment of fractional-order capacitors, also known as constant phase elements, is imperative not only to the accuracy of the model but to reflect the physical electrochemical properties of the device.

Subfields: Automotive Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/d4031de8b049ae43fe3474a82f1ddba3dae0684d

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In Control and Systems Engineering

1. Yiheng Wei
2. Yong Wang
3. Songsong Cheng
4. P. W. Tse
5. Yuquan Chen
6. Zhaohui Yao

Citations in the corpus

• Adaptive backstepping output feedback control for a class of nonlinear fractional order systems (2016, background): “, cannot be described concisely and preciselywithout the introduction of fractional order differential equations [1].”
• Completeness on the stability criterion of fractional order LTI systems (2017, background): “On one hand, various practical physical materials and processes with history dependence and global correlation can be elegantly described with the help of fractional order calculus, which provides an excellent tools to reveal their properties [6, 8].”