Accession Number : AD0726912

Title :   Steady State Analysis of Nonlinear Circuits That Have a Periodic Response,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Aprille,T. J. , Jr ; Trick,T. N.

Report Date : JUN 1971

Pagination or Media Count : 34

Abstract : A very important problem is the computer-aided design of nonlinear circuits is the steady state analysis of lightly damped nonlinear circuits such as harmonic multipliers and oscillators. Presently one searches for the periodic response by simply integrating the system equations from a given initial state until the response becomes periodic. In lightly damped systems this integration could extend over many periods making the computation costly. In this paper a Newton algorithm is defined which converges rapidly to the steady state response. The algorithm is applied to several nonlinear circuits. The results show a considerable reduction in the amount of time necessary to compute the steady state response. In addition, the initial iterates give information on the transient response of the system. (Author) mation on the transient response of the system. (Author)

Descriptors :   (*CIRCUITS, NUMERICAL ANALYSIS), NONLINEAR SYSTEMS, HARMONIC GENERATORS, DAMPING, DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), ITERATIONS, ALGORITHMS, CONVERGENCE, OSCILLATION, TRANSIENTS

Subject Categories : Electrical and Electronic Equipment

Distribution Statement : APPROVED FOR PUBLIC RELEASE