电路的分数阶建模:现代经验主义与经典科学

2017 Progress in Applied Electrical Engineering (PAEE) Pub Date : 2017-06-01 DOI:10.1109/PAEE.2017.8008998

K. Latawiec, R. Stanisławski, M. Łukaniszyn, W. Czuczwara, Marek Rydel

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引用次数: 35

摘要

本文讨论了在电路理论和实践中关于整数阶导数和分数阶导数使用的争议性观点。麦克斯韦方程组在经典电路分析中肯定是有用的，但在具体应用中提倡经验的分数阶建模，包括示例性超级电容器充电电路。因此，这两种方法都可以用于各种特定于应用程序的建模任务。

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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Fractional-order modeling of electric circuits: modern empiricism vs. classical science

In this paper, controversial views on the use of an integer- and fractional-order derivatives in the theory and practice of electric circuits are discussed. Maxwell's equations are definitely useful in classical circuit analyses but empirical, fractional-order modeling is advocated in specific applications, including an exemplary supercapacitor charging circuit. Thus, both methodologies can be employed in various, application-specific modeling tasks.

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2017 Progress in Applied Electrical Engineering (PAEE)

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