Two Computer Algorithms for Obtaining the Periodic Response of Nonlinear Circuits.

Abstract

In the computer-aided analysis of a nonlinear circuit with a stable periodic response, the steady state periodic response is usually found for a given initial state by simply integrating the system equations until the response becomes periodic. In a lightly damped system this integration could extend over many periods making the computation costly. In the paper two Newton algorithms are defined. The first algorithm IS FOR THE STEADY STATE ANALYSIS OF NONAUTONOMOUS SYSTEMS AND THE SECOND ALGORITHM IS FOR THE STEADY STATE ANALYSIS OF AUTONOMOUS SYSTEMS. The algorithms are 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)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1971
Accession Number
AD0735713

Entities

People

  • Thomas Joseph Aprille Jr

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Autonomous Systems
  • Cognitive Systems Engineering
  • Computational Complexity
  • Computations
  • Computers
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Linear Algebra
  • Structural Dynamics.

Technology Areas

  • Autonomy