Design and analysis of two layers RLC network of rectangular topology by wave concept iterative process method

Abstract

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.

Analytical formulas for calculating the electrical characteristics of multiparameter arbitrary configurational homogenous ladder networks

“…The main focus of the study was, in fact, to determine how to measure the equivalent impedance between any two nodes in a network of any size. Green's function, 12 Laplace's matrix, 13 the recursive transform (RT) [14][15][16][17] and the wave concept iterative process 18 are all employed in the task's completion. Some examples of finite resistive networks that have been solved recently using the RT method are the hammock network, 19 the cobweb model, 20,21 the cylindrical network, 22 the fan network 21,23 and the globe network.…”

Electrical characteristics for triangular resistors–capacitors–inductors network designed on two coats

“…To overcome some insufficiencies of the techniques presented, we recently formulate the Wave Concept Iterative Process Method (WCIP) should be adjusted to the examination of the electrical network circuits with triangular 33–35 and rectangular topologies 36…”

“…To overcome some insufficiencies of the techniques presented, we recently formulate the Wave Concept Iterative Process Method (WCIP) should be adjusted to the examination of the electrical network circuits with triangular [33][34][35] and rectangular topologies. 36 In the literature, the WCIP method has demonstrated its potential, capacity, and efficiency to resolve several microwave problems with regard to the antennas conception, [37][38][39] the electromagnetic scattering, [40][41][42] and the microwave circuit design.…”