Fractional-order L_βC_a filter circuit network

作     者：洪铮 钱晶 陈帝伊 Herbert H.C.Iu 

作者机构：College of Electric Power Engineering Kunming University of Science and Technology Department of Electrical Engineering Northwest A & F University School of Electrical Electronic and Computer Engineering The University of Western Australia 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2015年第24卷第8期

页      面：149-158页

核心收录：

学科分类：080902[工学-电路与系统] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.51469011) 

主　　题：fractional-order circuit circuit networks amplitude–frequency characteristics phase–frequency characteristics 

摘      要：In this paper we introduce the new fundamentals of the conventional LC filter circuit network in the fractional ***, we derive the general formulae of the impedances for the conventional and fractional-order filter circuit *** on this, the impedance characteristics and phase characteristics with respect to the system variables of the filter circuit network are studied in detail, which shows the greater flexibility of the fractional-order filter circuit network in ***, from the point of view of the filtering property, we systematically study the effects of the filter units and fractional orders on the amplitude–frequency characteristics and phase–frequency characteristics. In addition, numerical tables of the cut-off frequency are presented. Finally, two typical examples are presented to promote the industrial applications of the fractional-order filter circuit network. Numerical simulations are presented to verify the theoretical results introduced in this paper.