分数阶RL_(α)C_(β)电路阻抗函数含分数阶耦合电感的W域无源综合方法  

Passive Synthesis of Immittance Functions of Fractional-order RL _(α)C _(β) Circuits with Fractional-order Coupled Inductance in W-domain

作　　者：梁贵书[1] 桑雨柔 李天文 LIANG Guishu;SANG Yurou;LI Tianwen(School of Electrical and Electronic Engineering,North China Electric Power University,Baoding 071003,China;State Grid Chongqing Electric Power Company,Chongqing 400015,China)

机构地区：[1]华北电力大学电气与电子工程学院,河北保定071003 [2]国网重庆市电力公司,重庆400015

出　　处：《华北电力大学学报（自然科学版）》2021年第3期65-71,共7页Journal of North China Electric Power University：Natural Science Edition

基　　金：河北省自然科学基金资助项目(E2018502121);北京市自然科学基金资助项目(3192039)。

摘　　要：近些年来分数阶电路无源综合理论在一些工程领域的应用变得越来越广泛,通过s-W变换,对W域中的分数阶电路进行研究可以将问题得到简化。研究了分数阶RL_(α)C_(β)电路阻抗函数在W域中含分数阶耦合电感的综合方法,首先提出了分数阶RL_(α)C_(β)电路阻抗函数在W域中无源综合的充分条件,接着提出了这类阻抗函数的一般综合方法。最后通过例子对本文的内容进行了验证,进一步丰富了分数阶电路无源综合的理论。In recent years, the passive synthesis theory of fractional-order circuits in some engineering fields has been widely applied. The s-W transformation has helped simplify many problems by studying the fractional-order circuit in the W domain. This paper studies the synthesis method of fractional-order impedance with RL αC β in the W domain whose circuit contains fractional-order coupled inductance. First, we propose the sufficient condition for the passive synthesis of the fractional-order impedance with RL _(α)C _(β) in the W domain as well as the general synthesis method of this type of impedance function. Then, we verify the content of this paper by an example, further enriching the theory of passive synthesis of fractional-order circuits.

关 键 词：分数阶RL_(α)C_(β)电路阻抗函数 分数阶耦合电感 s-W变换 W域无源综合方法 

分 类 号：TN711.1[电子电信—电路与系统]