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Application Study of Fractional Modelling and Analysis Methods for Piecewise-Smooth Fractional-Order Circuit Systems: An Efficiency Analysis Oriented Case for Dickson Type Switched-Capacitor Converters
Version 1
: Received: 26 February 2024 / Approved: 26 February 2024 / Online: 26 February 2024 (15:30:36 CET)
How to cite:
Chen, X.; Fu, T.; Zhang, Y.; Ma, H.; Zhu, B. Application Study of Fractional Modelling and Analysis Methods for Piecewise-Smooth Fractional-Order Circuit Systems: An Efficiency Analysis Oriented Case for Dickson Type Switched-Capacitor Converters. Preprints2024, 2024021487. https://doi.org/10.20944/preprints202402.1487.v1
Chen, X.; Fu, T.; Zhang, Y.; Ma, H.; Zhu, B. Application Study of Fractional Modelling and Analysis Methods for Piecewise-Smooth Fractional-Order Circuit Systems: An Efficiency Analysis Oriented Case for Dickson Type Switched-Capacitor Converters. Preprints 2024, 2024021487. https://doi.org/10.20944/preprints202402.1487.v1
Chen, X.; Fu, T.; Zhang, Y.; Ma, H.; Zhu, B. Application Study of Fractional Modelling and Analysis Methods for Piecewise-Smooth Fractional-Order Circuit Systems: An Efficiency Analysis Oriented Case for Dickson Type Switched-Capacitor Converters. Preprints2024, 2024021487. https://doi.org/10.20944/preprints202402.1487.v1
APA Style
Chen, X., Fu, T., Zhang, Y., Ma, H., & Zhu, B. (2024). Application Study of Fractional Modelling and Analysis Methods for Piecewise-Smooth Fractional-Order Circuit Systems: An Efficiency Analysis Oriented Case for Dickson Type Switched-Capacitor Converters. Preprints. https://doi.org/10.20944/preprints202402.1487.v1
Chicago/Turabian Style
Chen, X., Hui Ma and Binxin Zhu. 2024 "Application Study of Fractional Modelling and Analysis Methods for Piecewise-Smooth Fractional-Order Circuit Systems: An Efficiency Analysis Oriented Case for Dickson Type Switched-Capacitor Converters" Preprints. https://doi.org/10.20944/preprints202402.1487.v1
Abstract
This paper focus on the modeling and time-domain analyzing method of piecewise-smooth fractional-order circuit systems. Firstly, an analytical framework is constructed based on a generalized piecewise-smooth two-port impedance network model, which takes the topological characteristics of Dickson type switched-capacitor converters (SCCs) as examples, and considers the fractional-order characteristics of class-2 X7R ceramic capacitors, which are widely used in SCCs. Secondly, the time-domain analyzing method for such a piecewise-smooth fractional-order circuit system is developed, numerical solutions are obtained, and the influence of the fractional-order capacitor on the power conversion efficiency of the system are revealed. Finally, in order to validate the analysis, both numerical simulation and experiments are provided in the work, the results of which confirm that, the proposed fractional-order analytical framework can capture the power loss mechanism of piecewise-smooth fractional-order circuit systems more effectively than the traditional integer-order based approach, thus benefiting the design of circuit systems.
Keywords
Piecewise smooth; fractional-order systems modeling; time-domain analyzing method; switched-capacitor converters
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.
