Circuit network theory of n-horizontal bridge structure

• Published in: Scientific reports Vol. 12; no. 1; pp. 6158 - 12
• Main Authors: Fang, Xin-Yu, Tan, Zhi-Zhong
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 13.04.2022; Nature Publishing Group; Nature Portfolio
• Subjects: 639/705/1041; 639/766/530/2801; 639/766/530/2804; Humanities and Social Sciences; Impedance; multidisciplinary; Science; Science (multidisciplinary)
• ISSN: 2045-2322; 2045-2322
• DOI: 10.1038/s41598-022-09841-2

This research investigates a complex n order cascading circuit network with embedded horizontal bridge circuits with the N-RT method. The contents of the study include equivalent resistance analytical formula and complex impedance characteristics of the circuit network. The research idea is as follows. Firstly the equivalent model of n -order resistance network is established, and a fractional difference equation model is derived using Kirchhoff’s law. Secondly, the equivalent transformation method is employed to transform the fractional equation into a simple linear difference equation, and its particular solution is computed. Then the solution to the difference equation is used to derive the effective resistance of the resistance network of the embedded horizontal bridge circuit, and various special cases of equivalent resistance formula are analyzed and the correctness of the analysis model gets verified. Finally, as an expanded application, the equivalent complex impedance of LC network is studied, and Matlab drawing tool is employed to offer the equivalent impedance with various variables of the graph. Our results provide new research ideas and theoretical basis for relevant scientific researches and practical applications.