Fractional circuit network theory with n-V-structure
- 27 March 2023
- journal article
- research article
- Published by IOP Publishing in Physica Scripta
- Vol. 98 (4), 045224
- https://doi.org/10.1088/1402-4896/acc491
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.Keywords
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