Stageless evaluation for a vector Preisach model based on rotational operators

Nierla M, Sutor A, Rupitsch S, Kaltenbacher M (2017)

Publication Language: English

Publication Type: Journal article

Publication year: 2017

Journal

Compel-The International Journal For Computation and Mathematics in Electrical and Electronic Engineering Emerald

Book Volume: 36

Pages Range: 1501-1516

Journal Issue: 5

DOI: 10.1108/COMPEL-02-2017-0073

Abstract

Purpose – This paper aims to present a novel stageless evaluation scheme for a vector Preisach model that exploits rotational operators for the description of vector hysteresis. It is meant to resolve the discretizational errors that arise during the application of the standard matrix-based implementation of Preisach-based models.
Design/methodology/approach – The newly developed evaluation uses a nested-list data structure. Together with an adapted form of the Everett function, it allows to represent both the additional rotational operator and the switching operator of the standard scalar Preisach model in a stageless fashion, i.e. without introducing discretization errors. Additionally, presented updating and simplification rules ensure the computational efficiency of the scheme.
Findings – A comparison between the stageless evaluation scheme and the commonly used matrix approach reveals not only an improvement in accuracy up to machine precision but, furthermore, a reduction of computational resources.
Research limitations/implications – The presented evaluation scheme is especially designed for a vector Preisach model, which is based on an additional rotational operator. A direct application to other vector Preisach models that do not rely on rotational operators is not intended. Nevertheless, the presented methodology allows an easy adaption to similar vector Preisach schemes that use modified setting rules for the rotational operator and/or the switching operator.
Originality/value – Prior to this contribution, the vector Preisach model based on rotational operators could only be evaluated using a matrix-based approach that works with discretized forms of rotational and switching operator. The presented evaluation scheme offers reduced computational cost at much higher accuracy. Therefore, it is of great interest for all users of the mentioned or similar vector Preisach models.

 

Authors with CRIS profile

Michael Nierla Lehrstuhl für Autonome Systeme und Mechatronik Alexander Sutor Lehrstuhl für Autonome Systeme und Mechatronik Stefan Rupitsch Lehrstuhl für Autonome Systeme und Mechatronik

Involved external institutions

Technische Universität Wien / Vienna University of Technology AT Austria (AT)

How to cite

APA:

Nierla, M., Sutor, A., Rupitsch, S., & Kaltenbacher, M. (2017). Stageless evaluation for a vector Preisach model based on rotational operators. Compel-The International Journal For Computation and Mathematics in Electrical and Electronic Engineering, 36(5), 1501-1516. https://dx.doi.org/10.1108/COMPEL-02-2017-0073

MLA:

Nierla, Michael, et al. "Stageless evaluation for a vector Preisach model based on rotational operators." Compel-The International Journal For Computation and Mathematics in Electrical and Electronic Engineering 36.5 (2017): 1501-1516.

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