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14 October 2020 Using the conformable fractional derivative in Caputo sense operator to describe the behavior of an RC electrical circuit containing a supercapacitor
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Proceedings Volume 11581, Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2020; 1158103 (2020) https://doi.org/10.1117/12.2572554
Event: Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2020, 2020, Wilga, Poland
Abstract
In this paper, we study the model electrical circuit containing a supercapactor. For solve the electrical circuit operation used fractional definition: the Caputo definition, Conformable Fractional Derivative (CFD) definition and combination of both definition of non-integer order containing fractional time derivatives the Conformable Fractional Derivative in Caputo sense. The state equation for a given electrical circuit has been developed. An electrical circuit model was built and were performed in three measurement series each with a different external resistance. The results of the electrical circuit with calculations using differential equations and the classical method were analyzed.
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E. Piotrowska "Using the conformable fractional derivative in Caputo sense operator to describe the behavior of an RC electrical circuit containing a supercapacitor", Proc. SPIE 11581, Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2020, 1158103 (14 October 2020); https://doi.org/10.1117/12.2572554
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