Open AccessClassified Foster and Cauer Circuits for the Choice of a Model
Publication year - 2022
Publication title -
advances in theoretical and computational physics
Language(s) - English
Resource type - Journals
ISSN - 2639-0108
DOI - 10.33140/atcp.05.01.02
Subject(s) - network topology , equivalence (formal languages) , electrical impedance , electronic circuit , mathematics , topology (electrical circuits) , computer science , control theory (sociology) , discrete mathematics , engineering , electrical engineering , control (management) , artificial intelligence , combinatorics , operating system
Approximations of constant phase elements (CPE) or Warburg impedance are frequently made by equivalent electrical circuits. However, these approximating circuits generally do not take into account the boundary conditions involved by making such approximations. In this paper, we assess various models or possible topologies and classify them according to their asymptotic limits. We show that circuit topologies having the same number and the same types of elements has the same impedance (thus the same frequency behaviour). Having identical factorized impedance proves the equivalence between several proposed models (serial Foster, parallel Foster, serial Cauer and parallel Cauer). We conclude that the choice of a model for parameter identification needs to take into account the specific boundary conditions.