On the Reduction of Circuit Equations for Numerical Integration.

Abstract

The reduction of circuit equations to normal form for numerical integration is considered for the general circuit where excess reactive elements, all types of linearly dependent sources, and nonlinear dissipative and reactive elements are present. For the linear circuit, necessary and sufficient conditions for the existence of numerical solutions are considered and stated. For the nonlinear circuit, reduction to normal form is not always possible. Numerical solution is shown to be simplified if certain a priori conditions are satisfied in formulating the original circuit equations. A new systematic reduction procedure is presented for obtaining the normal form equations. This procedure is also extended to a new procedure for obtaining transfer and immittance functions of the linear circuit from a proper tree formulation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1970
Accession Number
AD0715648

Entities

People

  • Vernon Travis Barmes

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Equations
  • Mathematical Analysis
  • Mathematics
  • Numerical Integration

Fields of Study

  • Mathematics

Readers

  • Electronics Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)