Electrical characteristics of a class of n-order triangular network

Hai-Xiang Chen, Na Li, Zi-Tian Li and Zhi-Zhong Tan

Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, issue C

Abstract: This paper investigates the electrical properties of a class of n-order triangular resistor network model. The authors establish, by constructing equivalent model, the second-order nonlinear difference equation model. We propose, by using equivalent transformation method, the general and specific methods of solution for the nonlinear difference equation and at once obtain an accurate equivalent resistance formula of n-order triangular resistor network, and a series of special conclusions are analyzed and compared. Finally, we study the oscillation and resonance characteristics of the triangular LC network under different conditions, where the method used is variable substitution by using the equivalent resistance results obtained. This study reveals the electrical characteristics of triangular LC network and establishes a new theoretical foundation for related disciplines.

Keywords: Equivalent transformation; Triangular network; Equivalent resistance; RLC network; Nonlinear difference equation (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317832

DOI: 10.1016/j.physa.2019.123167

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