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

Abstract

This work deals with a theoretical study of a triangular electrical lattice 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 (WCIP) method is developed and adapted to the studied circuit. The 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 domain defining the boundary conditions and the circuit design. Hence, a system of two equations 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 performance for analyzing various designs of the networks including resistors-inductors (RL), resistors-capacitors (RC), and resistors-capacitorsinductors (RLC) circuits excited by a lumped voltage source. The effect of the circuit parameters on the electrical currents and equivalent impedance has been studied.

An equivalent modeling method of passive components with multi‐resonant frequency

“…Passive components, such as capacitors, inductors, and resistors, are widely used in various electronic systems, [1][2][3][4] and play important roles in tuning, coupling, filtering, frequency selection, current limiting, voltage dividing, and other functional circuits. Due to the development trend of miniaturization, integration, and multi-function, the electromagnetic environment inside electronic systems is becoming more and more complex, which often gives rise to electromagnetic compatibility (EMC) problems.…”

Electrical performance of the 3 × 6 × n cobweb cascade resistance network

“…To solve this kind of resistance network, scholars put forward a variety of methods based on Kirchhoff's law and various computing techniques. These methods include Green's function method, 16–18 Laplace matrix transformation method 19,20 and recursion‐transform (RT) method 12,21–47 . The RT method can be used to handle this kind of periodic network studied in this paper, but the calculation process will be very complicated.…”

Research on comprehensive application and experimental verification of common methods for linear circuit analysis

“…In actual analysis and calculation, it is worth further studying how to choose a method to solve circuits [1]. However, if it is not particularly convenient to solve the physical quantities in the circuit theoretically, computer simulation and experimental measurement can be used as auxiliary means to determine relevant parameters [2].…”