Fractional-order LβCα filter circuit network

doi:10.1088/1674-1056/24/8/080204

中国物理B ›› 2015, Vol. 24 ›› Issue (8): 80204-080204.doi: 10.1088/1674-1056/24/8/080204

Fractional-order L_βC_α filter circuit network

洪铮^a, 钱晶^a, 陈帝伊^b, Herbert H. C. Iu^c

a College of Electric Power Engineering, Kunming University of Science and Technology, Kunming 650500, China;
b Department of Electrical Engineering, Northwest A & F University, Yangling 712100, China;
c School of Electrical, Electronic and Computer Engineering, The University of Western Australia, Crawley, WA 6009, Australia

收稿日期:2015-01-23 修回日期:2015-03-17 出版日期:2015-08-05 发布日期:2015-08-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 51469011).

Fractional-order L_βC_α filter circuit network

Hong Zheng (洪铮)^a, Qian Jing (钱晶)^a, Chen Di-Yi (陈帝伊)^b, Herbert H. C. Iu^c

a College of Electric Power Engineering, Kunming University of Science and Technology, Kunming 650500, China;
b Department of Electrical Engineering, Northwest A & F University, Yangling 712100, China;
c School of Electrical, Electronic and Computer Engineering, The University of Western Australia, Crawley, WA 6009, Australia

Received:2015-01-23 Revised:2015-03-17 Online:2015-08-05 Published:2015-08-05
Contact: Qian Jing E-mail:qianjingkg@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 51469011).

摘要/Abstract

摘要： In this paper we introduce the new fundamentals of the conventional LC filter circuit network in the fractional domain. First, we derive the general formulae of the impedances for the conventional and fractional-order filter circuit network. Based 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 design. Moreover, 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.

关键词: fractional-order circuit, circuit networks, amplitude–, frequency characteristics, phase–, frequency characteristics

Abstract: In this paper we introduce the new fundamentals of the conventional LC filter circuit network in the fractional domain. First, we derive the general formulae of the impedances for the conventional and fractional-order filter circuit network. Based 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 design. Moreover, 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.

Key words: fractional-order circuit, circuit networks, amplitude–frequency characteristics, phase–frequency characteristics

中图分类号: (Numerical simulation; solution of equations)

02.60.Cb

02.60.-x (Numerical approximation and analysis) 02.30.-f (Function theory, analysis) 02.90.+p (Other topics in mathematical methods in physics)

洪铮, 钱晶, 陈帝伊, Herbert H. C. Iu. Fractional-order L_βC_α filter circuit network[J]. 中国物理B, 2015, 24(8): 80204-080204.

Hong Zheng (洪铮), Qian Jing (钱晶), Chen Di-Yi (陈帝伊), Herbert H. C. Iu. Fractional-order L_βC_α filter circuit network[J]. Chin. Phys. B, 2015, 24(8): 80204-080204.

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Fractional-order L_βC_α filter circuit network

Fractional-order L_βC_α filter circuit network

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