A robust and efficient oscillator analysis technique using harmonic balance
type: Item
instance of: scholarly article
title: A robust and efficient oscillator analysis technique using harmonic balance
zbMATH Open document ID: 0948.65085
DOI: 10.1016/S0045-7825(99)00184-X
author: K. K. Gullapalli
author: B. J. Mulvaney
author: M. M. Gourary
author: S. L. Ulyanov
author: M. M. Zharov
author: S. G. Rusakov
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-11-13T00:00:00Z
review text: This paper is concerned with the efficient determination of the fundamental frequency of oscillators which appear in electronic systems. As remarked in the introduction the simulation of these oscillators leads to high dimensional differential algebraic systems (DAEs) and application of standard methods of DAEs is highly inefficient due to the fact that time integration requires large intervals to reach the steady state. Then in the standard literature it is usual to use the Fourier transform to convert the DAEs to a set of nonlinear algebraic equations and the so called harmonic balance method achieves the solution of these equations by means of Newton type nonlinear solvers. In this context the authors propose a continuation type technique which allows to get good starting values for the solution of these nonlinear algebraic equations with the aim to improve the convergence and the efficiency of the quasi Newton iterative solver. Further the authors present an overview of the Krylov methods which are used in Newton iteration. Finally an example is presented to show the efficiency and robustness of the new method.
Mathematics Subject Classification ID: 65L80
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 1417825
zbMATH Keywords: differential algebraic equations of oscillators
zbMATH Keywords: harmonic balance method
zbMATH Keywords: continuation methods
zbMATH Keywords: fundamental frequency of oscillators
zbMATH Keywords: electronic systems
zbMATH Keywords: convergence
zbMATH Keywords: quasi Newton iterative solver
zbMATH Keywords: Krylov methods
reviewed by: Manuel Calvo
MaRDI profile type: Publication
cites work: ICIAM/GAMM 95 Applied sciences, especially Mechanics Minisymposia Contributions
cites work: Q4414855
cites work: A simulation tool for the analysis and verification of the steady state of circuit designs
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cites work: Tracing solution curves of non-linear equations with sharp turning points
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description: scientific article; zbMATH DE number 1417825