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Synthesis of Fractional-Order Biquadratic Immittance Functions

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

E-mail Address: gshliang@263.net

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Xiaoyan Huo

http://orcid.org/0000-0002-1632-6027

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

E-mail Address: huohuoxiaoyan@163.com

Corresponding author.

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https://doi.org/10.1142/S0218126619501871Cited by:3 (Source: Crossref)

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.

This paper was recommended by Regional Editor Emre Salman.

Keywords:

References

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