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

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)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1971
Accession Number
AD0726912

Entities

People

  • T. J. Aprille Jr
  • T. N. Trick

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Computer-Aided Design
  • Computers
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Oscillators
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Electronics Engineering
  • Fluid Dynamics.
  • Operations Research