Algorithms for Computing Almost-Periodic Steady-State Response of Nonlinear Systems to Multiple Input Frequencies.

Abstract

Two efficient algorithms are presented for obtaining steady-state solutions of nonlinear circuits and systems driven by two or more distinct frequency input signals. These algorithms are particularly useful in cases where the steady-state response is either not periodic, or is periodic but its period is too large for existing methods. The first algorithm is applicable to any circuit or system driven by any number P > or = 2 of input frequencies. The second algorithm is restricted only to 2 input frequencies and is therefore significantly more efficient than the first algorithm. Both algorithms are formulated for systems described by an implicit system of nonlinear algebraic-differential equations, thereby obviating the need to write state equations. Numerous examples have been solved sucessfully using these two algorithms. A selection of some of these examples is given for illustrative purposes. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 16, 1980
Accession Number
ADA106792

Entities

People

  • A. Ushida
  • Leon O. Chua

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Computer Science
  • Differential Equations
  • Electronics
  • Engineering
  • Equations
  • Equations Of State
  • Fourier Analysis
  • Fourier Series
  • Frequency
  • Modulators
  • Numerical Integration
  • Periodic Functions
  • Rational Numbers
  • Spectra
  • Waveforms

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Control Systems Engineering.
  • Systems Analysis and Design