Publication

Preisach Modelling: Symmetry Implementation and Frequency Analysis

Marten Sjöström
1998
Reports

Abstract

The paper contains an analysis of the classical Preisach Model from a symmetry and a frequency point of view. Increasing and decreasing inputs have no fundamental difference, which leads to a simplified implementation by changing indices. Symmetry implies that the fully demagnetised state can be taken into account without approximations. A frequency analysis demonstrates that all odd and only odd harmonics of the fundamental input frequency are transferred to the output. As a consequence an estimation method for the Preisach Model weighting function from sinusoidal input is suggested.

Official source

https://infoscience.epfl.ch/entities/publication/ee121d69-90be-47d1-b865-67b01591df02

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Marten Sjöström
1998
Reports

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/ee121d69-90be-47d1-b865-67b01591df02

About this result

Related concepts (32)

Symmetry

Symmetry () in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, the term has a more precise definition and is usually used to refer to an object that is invariant under some transformations, such as translation, reflection, rotation, or scaling. Although these two meanings of the word can sometimes be told apart, they are intricately related, and hence are discussed together in this article.

Rotational symmetry

Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation. Certain geometric objects are partially symmetrical when rotated at certain angles such as squares rotated 90°, however the only geometric objects that are fully rotationally symmetric at any angle are spheres, circles and other spheroids.

Symmetry group

In group theory, the symmetry group of a geometric object is the group of all transformations under which the object is invariant, endowed with the group operation of composition. Such a transformation is an invertible mapping of the ambient space which takes the object to itself, and which preserves all the relevant structure of the object. A frequent notation for the symmetry group of an object X is G = Sym(X). For an object in a metric space, its symmetries form a subgroup of the isometry group of the ambient space.

Related publications (5)

Preisach Modelling: Symmetry Implementation and Frequency Analysis

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