Article
Version 1
Preserved in Portico This version is not peer-reviewed
A Comparison Study of Time-Domain Computation Methods for Piecewise Smooth Fractional-Order Circuit Systems
Version 1
: Received: 18 January 2023 / Approved: 19 January 2023 / Online: 19 January 2023 (12:22:37 CET)
A peer-reviewed article of this Preprint also exists.
Chen, X.; Zheng, F.; Wei, Y. A Comparison Study of Time-Domain Computation Methods for Piecewise Smooth Fractional-Order Circuit Systems. Fractal Fract. 2023, 7, 230. Chen, X.; Zheng, F.; Wei, Y. A Comparison Study of Time-Domain Computation Methods for Piecewise Smooth Fractional-Order Circuit Systems. Fractal Fract. 2023, 7, 230.
Abstract
The role of fractional calculus in circuit systems has received increased attention in recent years. In order to evaluate the effectiveness of time-domain calculation methods in the analysis of fractional-order piecewise smooth circuit systems, an experimental prototype is developed and the effects of three typical calculation methods in different test scenarios are compared and studied in this paper. It is proved that Oustaloup’s rational approximation method usually overestimates the peak-to-peak current and brings in pulse-voltage phenomenon in piecewise smooth test scenarios, while the results of two iterative recurrence-form numerical methods are in good agreement with the experimental results. The study results are dedicated to provide a reference for efficiently deploying calculation methods in fractional-order piecewise smooth circuit systems. Some quantitative analysis results are concluded in this paper.
Keywords
Fractional calculus; piece-wise smooth circuit systems; calculation methods
Subject
Engineering, Electrical and Electronic Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment