Linear Electrical Circuits Described by a Novel Constant Proportional Caputo Hybrid Operator

IF 1.7 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC International Journal of Numerical Modelling-Electronic Networks Devices and Fields Pub Date : 2025-02-14 DOI:10.1002/jnm.70023

V. F. Morales-Delgado, J. F. Gómez-Aguilar, M. A. Taneco-Hernández, E. Pérez-Careta, J. Torres-Jiménez, Mohammad Esmael Samei

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Abstract

In this work, we obtain analytical solutions via Laplace transform of fractional electrical circuits by using the proportional Caputo derivative with power law. Numerical simulations were obtained to see the impact of the memory concept represented by the fractional parameter order. Also, we collect a lot of experimental data obtained in our laboratory for an $RC$ circuit, and for each case, we calculate the value of the fractional-order by using a particle swarm optimization approach. The results obtained reveals that the experimental data deviate slightly from that obtained in the integer-order behavior and the application of the proportional Caputo derivative best fits the experimental data.

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用一种新的常比例卡普托混合算子描述线性电路

本文利用带幂律的比例卡普托导数，通过拉普拉斯变换得到分数电路的解析解。通过数值模拟研究了分数阶参数所代表的存储概念的影响。此外，我们收集了大量在实验室获得的RC $$ RC $$电路的实验数据，并使用粒子群优化方法计算了每种情况下的分数阶值。结果表明，实验数据与整阶行为的结果略有偏差，比例卡普托导数的应用最适合实验数据。

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来源期刊

International Journal of Numerical Modelling-Electronic Networks Devices and Fields 工程技术-工程：电子与电气

CiteScore

4.60

自引率

6.20%

发文量

101

审稿时长

>12 weeks

期刊介绍： Prediction through modelling forms the basis of engineering design. The computational power at the fingertips of the professional engineer is increasing enormously and techniques for computer simulation are changing rapidly. Engineers need models which relate to their design area and which are adaptable to new design concepts. They also need efficient and friendly ways of presenting, viewing and transmitting the data associated with their models. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields provides a communication vehicle for numerical modelling methods and data preparation methods associated with electrical and electronic circuits and fields. It concentrates on numerical modelling rather than abstract numerical mathematics. Contributions on numerical modelling will cover the entire subject of electrical and electronic engineering. They will range from electrical distribution networks to integrated circuits on VLSI design, and from static electric and magnetic fields through microwaves to optical design. They will also include the use of electrical networks as a modelling medium.