Abstract
Abstract
Fractional Capacitors, commonly called Constant-Phase Elements or CPEs, are used in modeling and control applications,for example for rechargable batteries. Unfortunately, they arenot natively supported in the well-used circuit simulator SPICE.This manuscript presents and demonstrates a modeling approach that allows users to incorporate these elements in circuits and model the response in the time domain. We use an array of RC elements in parallel to construct acircuit with SPICE that shows constant phase behavior across a definedfrequency range. We demonstrate that the circuit produces the required impedance spectrum in the frequency domain, and shows a power-law voltage response to a step change in current in the time domain, consistent with theory,and is able to reproduce the experimental voltage response to a complicated current profile in the time domain. The error dependson the chosen frequency limits and the number of RC branches, inaddition to very small SPICE numerical errors. We are able to define an optimum circuit description that minimizes error whilemaintaining a short computation time. The work allows a rapid and accurate evaluation of the response of CPEsin the time domain.
Publisher
Research Square Platform LLC
Reference204 articles.
1. {Center for History and New Media}. Zotero {Quick} {Start} {Guide}. http://zotero.org/support/quick_start_guide, http://zotero.org/support/quick_start_guide, Welcome to Zotero!View the Quick Start Guide to learn how to begin collecting, managing, citing, and sharing your research sources.Thanks for installing Zotero.
2. Mauracher, P. and Karden, E. (1997) Dynamic modelling of lead/acid batteries using impedance spectroscopy for parameter identification. J. Power Sources 67(1-2): 69--84 https://doi.org/10.1016/S0378-7753(97)02498-1, https://doi.org/10.1016/S0378-7753(97)02498-1, 2021-06-09, en, 03787753
3. Lasia, Andrzej Definition of {Impedance} and {Impedance} of {Electrical} {Circuits}. Electrochemical {Impedance} {Spectroscopy} and its {Applications}, https://doi.org/10.1007/978-1-4614-8933-7_2, http://link.springer.com/10.1007/978-1-4614-8933-7_2, 2014, 2021-06-09, http://link.springer.com/10.1007/978-1-4614-8933-7_2, Springer New York, 7--66, en, 978-1-4614-8932-0 978-1-4614-8933-7, 10.1007/978-1-4614-8933-7_2, Lasia, Andrzej, New York, NY
4. Yang, Qingxia and Xu, Jun and Li, Xiuqing and Xu, Dan and Cao, Binggang (2020) State-of-health estimation of lithium-ion battery based on fractional impedance model and interval capacity. Int. J. Electr. Power Energy Syst. 119: 105883 https://doi.org/10.1016/j.ijepes.2020.105883, https://doi.org/10.1016/j.ijepes.2020.105883, 2021-06-09, en, 01420615
5. Mingant, R. and Bernard, J. and Sauvant-Moynot, V. (2016) Novel state-of-health diagnostic method for {Li}-ion battery in service. Appl. Energy 183: 390--398 https://doi.org/10.1016/j.apenergy.2016.08.118, https://doi.org/10.1016/j.apenergy.2016.08.118, 2021-06-09, en, 03062619, Submitted Version:C\:\\Users\\Owner\\Zotero\\storage\\HE7VAPAJ\\Mingant et al. - 2016 - Novel state-of-health diagnostic method for Li-ion.pdf:application/pdf