Accession Number : AD0715648

Title :   On the Reduction of Circuit Equations for Numerical Integration.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Barmes,Vernon Travis

Report Date : APR 1970

Pagination or Media Count : 62

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)

Descriptors :   (*CIRCUITS, EQUATIONS), (*TOPOLOGY, MATRICES(MATHEMATICS)), DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, TRANSFER FUNCTIONS, NUMERICAL ANALYSIS, THESES

Subject Categories : Electrical and Electronic Equipment
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE