The paper presents a theoretical study of a rectangular electrical network built on two layers. First, the auxiliary source notion is introduced for characterizing the potential difference over each electrical element, then the mathematical formalism of the Wave Concept Iterative Process method is developed and adopted to the studied circuit. The used method is based on the concept of the incident and reflected waves which are defined from the current and voltage at each branch of the circuit. Two relations connecting the waves are established into two definition domains: a spectral‐domain using the Kirchhoff laws and the auxiliary source connections and, another spatial defining the boundary conditions and the circuit design. Hence a two equations system is obtained and it is resolved by an iterative process, the transition between the two domains is ensured by the fast Fourier transform and its inverse. Moreover, the equivalent impedance between the feeding source and the nodes of the bottom layer has been calculated. Among the numerical simulation methods, this method has demonstrated its performances for analyzing various designs of the networks including RL, RC and RLC circuits excited by a lumped voltage source. The effect of the circuit parameters on the electrical currents and equivalent impedance has been studied.

中文翻译：

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波浪概念迭代法设计和分析矩形拓扑的两层RLC网络

本文提出了建立在两层上的矩形电网的理论研究。首先，引入辅助源概念来表征每个电气元件上的电势差，然后开发波动概念迭代过程方法的数学形式，并将其应用于所研究的电路。所使用的方法基于入射波和反射波的概念，这些概念由电路各分支处的电流和电压定义。将两个连接波的关系建立到两个定义域中：使用基尔霍夫定律和辅助源连接的频谱域，以及另一个定义边界条件和电路设计的空间。因此，获得了两个方程系统，并通过一个迭代过程对其进行了求解，快速傅立叶变换及其逆过程确保了两个域之间的过渡。此外，已经计算出馈电源和底层节点之间的等效阻抗。在数值模拟方法中，该方法已经证明了其在分析包括集总电压源激励的RL，RC和RLC电路在内的各种网络设计中的性能。研究了电路参数对电流和等效阻抗的影响。RC和RLC电路由集总电压源激励。研究了电路参数对电流和等效阻抗的影响。RC和RLC电路由集总电压源激励。研究了电路参数对电流和等效阻抗的影响。