Analysis of Fractional Electrical Circuit Containing Two RC Ladder Elements of Different Fractional Orders

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-05 DOI:10.2478/ama-2024-0010

Ewa Piotrowska, Rafał Melnik

引用次数: 0

Abstract

Abstract The study addresses the topic of different fractional orders in the context of simulation as well as experiments using real electrical elements of fractional-order circuit. In studying the two solutions of the resistance-capacitance (RC) ladder circuit of appropriate parameters, different fractional orders of the electrical circuit are considered. Two fractional-order (non-integer) elements were designed based on the Continued Fraction Expansion (CFE) approximation method. The CFE method itself was modified to allow free choice of centre pulsation. It was also proposed that when making individual ladder circuits, in the absence of elements with the parameters specified by the program, they should be obtained by connecting commercially available elements in series or parallel. Finally, the theoretical analysis of such a circuit is presented using state-space method and verified experimentally.

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包含两个不同分数阶数 RC 梯形元件的分数电路分析

摘要本研究在使用分数阶电路的实际电气元件进行模拟和实验的背景下，探讨了不同分数阶的主题。在研究适当参数的电阻-电容（RC）梯形电路的两个解时，考虑了电路的不同分数阶。根据连续分数展开（CFE）近似方法，设计了两个分数阶（非整数）元件。对 CFE 方法本身进行了修改，允许自由选择中心脉动。此外，还建议在制作单个梯形电路时，如果没有符合程序指定参数的元件，则应通过串联或并联市售元件来获得。最后，使用状态空间法对这种电路进行了理论分析，并通过实验进行了验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.