Synthesis of Fractional-Order Biquadratic Immittance Functions

Author:

Liang Guishu1,Huo Xiaoyan1ORCID

Affiliation:

1. Department of Electric Engineering, North China Electric Power University, No. 619, Yonghua North Street, Baoding, Hebei 071003, P. R. China

Abstract

Passive network synthesis, as an important part of circuit and system theory, has been well developed in integer-order circuits. With the development of fractional-order calculus and fractional-order elements, the problem of using fractional-order passive networks to realize fractional-order immittance functions has drawn much attention. In this paper, the realization of a fractional-order biquadratic immittance function is considered. First, the form of a fractional-order biquadratic function and some theorems that could promote later research are introduced. Second, a detailed study for the realization of a fractional-order biquadratic immittance function is shown. Finally, through summarizing the realizability conditions of each network, we have obtained the scope of fractional biquadratic impedance functions that can be realized by this paper.

Funder

Natural Science Foundation of Hebei Province

Publisher

World Scientific Pub Co Pte Lt

Subject

Electrical and Electronic Engineering,Hardware and Architecture,Electrical and Electronic Engineering,Hardware and Architecture

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Passive Synthesis of Fractional Order Immittance of Three-Element-Kind;Journal of Circuits, Systems and Computers;2023-10-12

2. Passive realization of the fractional‐order capacitor based on fractional‐order inductor and its application;International Journal of Circuit Theory and Applications;2023-01-29

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