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Commercial supercapacitor parameter estimation from step voltage excitation
Author(s) -
Fouda Mohammed E.,
Elwakil Ahmed S.,
Allagui Anis
Publication year - 2019
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2680
Subject(s) - supercapacitor , capacitance , voltage , electronic engineering , energy (signal processing) , power (physics) , signal (programming language) , noise (video) , integer (computer science) , computer science , electrical engineering , control theory (sociology) , engineering , mathematics , physics , electrode , control (management) , quantum mechanics , artificial intelligence , statistics , image (mathematics) , programming language
Summary Supercapacitors are crucial elements in advanced industrial electronic systems particularly when supplied from renewable energy sources. Here, we derive expressions for the current, power, and stored energy in a supercapacitor excited with a step voltage signal. Although, it is not common practice to charge supercapacitors using a step voltage, these devices are sometimes used in switching‐type applications where they are subject to this type of signal. We validate the derived mathematical expression of the current via experiments on four different commercial devices. By fitting the measured current data to the derived expression, the parameters of these devices, which are modeled as a series connection of an internal resistance and a constant phase element (CPE), are also estimated. Power and energy are then evaluated followed by the estimation of the effective capacitance for each device. Our analysis makes use of fractional order calculus as opposed to classical integer‐order models.