4.6 Article

A General Study on 3D Fractional Order Hexagonxn x n RLαCβ Circuit Network

Journal

IEEE ACCESS
Volume 10, Issue -, Pages 55889-55899

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2022.3168720

Keywords

3D fractional order circuit; circuit networks; impedance characteristics

Funding

  1. Scienti~c Research Plan Projects of Shaanxi Education Department [19JK0258]

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This paper studies the electrical conductivity of a conductive material with structures similar to graphene and analyzes the influence of various factors on the electrical conductivity of the fractional order. It also introduces the new fundamentals of the hexagon x n RL alpha C beta circuit network in the fractional domain and summarizes the general laws.
This paper studies the electrical conductivity of a conductive material with structures similar to graphene, which consists of three basic components. The influence of various factors on the electrical conductivity of the fractional order is also analyzed. Moreover, the new fundamentals of the hexagon x n RL alpha C beta circuit network in the fractional domain are introduced, and the general laws are summarized. First, we derive three general formulas of the equivalent impedance (Z(AD)(n), Z(BC)(n), and Z(AA)(')(n)) of the circuit network by using the matrix transform method and the difference equation model in a special case. In addition, taking Z(AA)(') (n) as an example, we systematically investigate the effects of the seven system parameters (frequency omega, the number of circuit units n, fractional order alpha for inductance, fractional order beta for capacitance, inductance L, capacitance C, and resistance R) on the impedance characteristics of the 3D fractional order circuit network. Specifically, interesting phenomena and laws are shown by visual figures.

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