Fractional circuit network theory with n-V-structure
Luo Xiao-lian, Zhi‐Zhong Tan
Abstract
Abstract This paper studies a class of circuit network model with fractional n -V-structure, the model contains several independent resistance elements, so it is the topology of multiple network models. First, this paper calculates the equivalent resistance of n -V circuit network by constructing equivalent model, and gives two closed equivalent resistance analytic expressions. Additionally, the concept of negative resistance is put forward. A series of special results of equivalent resistance are discussed. Finally, the complex impedance characteristics of fractional n -V structure circuit networks are studied in detail by using variable substitution technique. The amplitude frequency characteristics and phase frequency characteristics of fractional n -V structure circuit network are revealed through Matlab drawing research.