Equivalent complex impedance of n -order RLC network

作者：Haixiang Chen, Mingyue Wang, Wanjiao Chen, Xinyu Fang, Zhi‐Zhong Tan · 发表于：Physica Scripta · 年份：2021 · DOI：10.1088/1402-4896/abf67d · 被引用次数：17 · 研究领域：Electromagnetic Simulation and Numerical Methods、Cellular Automata and Applications、Electromagnetic Scattering and Analysis

Abstract Complex n -order complex impedance network is a kind of common complex problems. The electrical characteristics of its equivalent complex impedance are usually complex. We consider a kind of complex impedance network model of two terminal ladder network with complex parameters, and investigate the characteristics of equivalent complex impedance by deriving the analytical formula of equivalent complex impedance. The main research methods are as follows: firstly, the equivalent model is constructed. Secondly, the nonlinear difference equation model is established according to the equivalent model, and then the universal law of the equivalent complex impedance of n -ladder network is given by studying the solution of the nonlinear difference equation. Finally, the specific cases of LC network and non-ideal transmission line are studied respectively, and compared with the relevant results.