Passive Synthesis of a Class of Fractional Immittance Function Based on Multivariable Theory

Author:

Liang Guishu1,Jing Yongming1,Liu Chang1,Ma Long1

Affiliation:

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

Abstract

Passive synthesis of fractional driving-point immittance function is one of the most important research topics in fractional circuits. The synthesis method for a class of fractional driving-point immittance function is proposed in this paper. Firstly, the immittance function of passive fractional circuit is transformed to multivariable positive-real function by proper variable substitution. Secondly, to synthesize the function, except one variable, other high-order variables are transformed to the combination of products of different one-order variables by introducing new variables. Thirdly, synthesize the new function by traditional method. At last, substitute elements inversely twice and the final circuit for fractional driving-point immittance function can be achieved. The method is verified by giving synthesis demonstration.

Publisher

World Scientific Pub Co Pte Lt

Subject

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

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