FOUNDATIONS OF EQUIVALENT NETWORK THEORY

Abstract

Since the main difficulty with Cauer's matrix transformation method is that the transformation is applied to the network admittance or impedance matrix in which the actual network elements are hidden, it would be desirable to apply the transformation directly to the parameter or branch admittance matrix because every entry of this matrix is an actual element. It is shown that such a transformation is permissible and that it can be chosen so that any combination of desired driving point or transfer impedances or admittances can be preserved under the transformation. Generalized equilibrium equations are discussed and used to show that transformations on branch matrices are permissible. Conditions on the transformation which yield equivalent networks are derived. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 07, 1961
Accession Number
AD0272204

Entities

People

  • J.d. Schoeffler

Organizations

  • Case Western Reserve University

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Equations
  • Impedance
  • Mathematics
  • Network Science

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)