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arXiv · 2205.03833

Non-Debye impedance and relaxation models for dissipative electrochemical capacitors

Anis Allagui·Hachemi Benaoum·Ahmed S. Elwakil·Mohammad Alshabi
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Abstract

Electrochemical capacitors are a class of energy devices in which complex mechanisms of accumulation and dissipation of electric energy take place when connected to a charging or discharging power system. Reliably modeling their frequency-domain and time-domain behaviors is crucial for their proper design and integration in engineering applications, knowing that electrochemical capacitors in general exhibit anomalous tendency that cannot be adequately captured with traditional integer-order-based models. In this study we first review some of the widely used fractional-oder models for the description of impedance and relaxation functions of dissipative resistive-capacitive system, namely the Cole-Cole, Davidson-Cole, and Havriliak-Negami models. We then propose and derive new q-deformed models based on modified evolution equations for the charge or voltage when the device is discharged into a parallel resistive load. We verify our results on anomalous spectral impedance response and time-domain relaxation data for voltage and charge obtained from a commercial supercapacitor.

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Anis Allagui, Hachemi Benaoum, Ahmed S. Elwakil, Mohammad Alshabi. 2022-05-08. Non-Debye impedance and relaxation models for dissipative electrochemical capacitors. https://doi.org/10.1109/ted.2022.3197384

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