Time and frequency responses of non-integer order RLC circuits

被引：18

作者：

Koksal, Mehmet Emir ^{[1
]}

机构：

[1] Ondokuz Mayis Univ, Dept Math, TR-55139 Atakum Samsun, Turkey

来源：

AIMS MATHEMATICS | 2019年 / 4卷 / 01期

关键词：

fractional calculus; electrical filters; RLC circuits; frequency response; step response; Mittag-Leffler function; SYNCHRONIZATION;

D O I：

10.3934/Math.2019.1.64

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By introducing an auxiliary parameter, the dynamic of RLC electrical circuits of non-integer order is described by a fractional order differential equation. The order of derivative in the component models is assumed to be 0 < gamma <= 1. The time and frequency domain characteristics of the circuit is investigated, and it is shown that three different filter characteristics of low-pass, high-pass and band-pass filters are obtained. The filter parameters are determined analytically, and the results are verified numerically.

引用

页码：64 / 78

页数：15

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