Publication

Preisach model identification from higher harmonics

Bertrand Dutoit, Marten Sjöström
1998
Conference Papers

Abstract

The classic Preisach model is used to describe a general hysteretic behaviour, and as most nonlinear systems, its output contains higher harmonics. A Fourier analysis of a specific class of weighting functions for the Preisach model relates some free parameters with the frequency contents of the output. This enables an identification of the parameters from higher harmonics, by which hysteretic losses can be separated from losses in linear elements.

Official source

https://infoscience.epfl.ch/entities/publication/5dee8c2b-1ae2-4954-a5b4-3a6e19995f6b

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Bertrand Dutoit, Marten Sjöström
1998
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/5dee8c2b-1ae2-4954-a5b4-3a6e19995f6b

About this result

Related concepts (32)

Harmonic analysis

Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on the real line, or by Fourier series for periodic functions. Generalizing these transforms to other domains is generally called Fourier analysis, although the term is sometimes used interchangeably with harmonic analysis.

Scattering parameters

Scattering parameters or S-parameters (the elements of a scattering matrix or S-matrix) describe the electrical behavior of linear electrical networks when undergoing various steady state stimuli by electrical signals. The parameters are useful for several branches of electrical engineering, including electronics, communication systems design, and especially for microwave engineering. The S-parameters are members of a family of similar parameters, other examples being: Y-parameters, Z-parameters, H-parameters, T-parameters or ABCD-parameters.

Fourier analysis

In mathematics, Fourier analysis (ˈfʊrieɪ,_-iər) is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer. The subject of Fourier analysis encompasses a vast spectrum of mathematics.

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Preisach model identification from higher harmonics

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