Using the conformable fractional derivative in Caputo sense operator to describe the behavior of an RC electrical circuit containing a supercapacitor

E. Piotrowska

doi:10.1117/12.2572554

14 October 2020 Using the conformable fractional derivative in Caputo sense operator to describe the behavior of an RC electrical circuit containing a supercapacitor

E. Piotrowska

Author Affiliations +

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.

Citation Download Citation

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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