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Stochastic Modeling of Magnetic Properties by Using Random Fields

Jankoski, Radoslav :
Stochastic Modeling of Magnetic Properties by Using Random Fields.
[Online-Edition: https://tuprints.ulb.tu-darmstadt.de/8413]
Technische Universität , Darmstadt
[Ph.D. Thesis], (2018)

Official URL: https://tuprints.ulb.tu-darmstadt.de/8413

Abstract

This thesis is related to modeling uncertainties in magnetic properties of ferromagnetic materials which occur due to, e.g., manufacturing imperfections. The modeling procedure is based on the random field approach. The Karhunen-Loève expansion is used to approximate random fields with a minimal number of random variables in mean square sense. Two main cases are covered. First, magnetic hysteresis is taken into account and uncertainties are modeled by introducing the concept of multivariate random field. Second, spatial uncertainties of the magnetic behavior law are also treated. Benchmark examples such as a single phase transformer and a combined function magnet are used to illustrate how to propagate uncertainties from the input material data to the relevant output data.

Item Type: Ph.D. Thesis
Erschienen: 2019
Creators: Jankoski, Radoslav
Title: Stochastic Modeling of Magnetic Properties by Using Random Fields
Language: English
Abstract:

This thesis is related to modeling uncertainties in magnetic properties of ferromagnetic materials which occur due to, e.g., manufacturing imperfections. The modeling procedure is based on the random field approach. The Karhunen-Loève expansion is used to approximate random fields with a minimal number of random variables in mean square sense. Two main cases are covered. First, magnetic hysteresis is taken into account and uncertainties are modeled by introducing the concept of multivariate random field. Second, spatial uncertainties of the magnetic behavior law are also treated. Benchmark examples such as a single phase transformer and a combined function magnet are used to illustrate how to propagate uncertainties from the input material data to the relevant output data.

Place of Publication: Darmstadt
Divisions: 18 Department of Electrical Engineering and Information Technology
18 Department of Electrical Engineering and Information Technology > Institute for Accelerator Science and Electromagnetic Fields
Date Deposited: 10 Feb 2019 20:55
Official URL: https://tuprints.ulb.tu-darmstadt.de/8413
URN: urn:nbn:de:tuda-tuprints-84137
Referees: Schöps, Prof. Dr. Sebastian and Römer, Prof. Dr. Ulrich
Refereed / Verteidigung / mdl. Prüfung: 28 November 2018
Alternative Abstract:
Alternative abstract Language
Diese Dissertation behandelt Unsicherheiten in der Modellierung von magnetischen Eigenschaften ferromagnetischer Materialien, die beispielsweise durch den Fertigungsprozess auftreten. Die Modellierung basiert auf dem Konzept der Zufallsfelder. Die Karhunen-Loève Entwicklung ermöglicht die Approximation der Zufallsfelder mit einer minimalen Anzahl von zufälligen Variablen. Zwei Fälle werden behandelt. Zunächst wird magnetische Hysterese betrachtet, und Unsicherheiten werden durch multivariate Zufallsfelder modelliert. Anschliessend werden räumliche Unsicherheiten des magnetischen Materialgesetzes behandelt. Anhand von Anwendungen, beispielsweise einem Einphasen-Transformator und einem Multifunktions-Magneten, wird gezeigt, wie Unsicherheiten von den Material-Eingangsdaten in die relevanten Ausgangsdaten propagiert werden können.German
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