Electromagnetic fields and interactions in 3D cylindrical structures : modeling and application

Research output: ThesisPhd Thesis 1 (Research TU/e / Graduation TU/e)Academic

Abstract

The demand for more efficient and compact actuation systems results in a search for new electromagnetic actuator configurations. To obtain actuators that meet these challenging specifications, accurate modeling of the electromagnetic fields is often a prerequisite. To date, analytical modeling techniques are widely used to predict electromagnetic fields in classical rotary and linear machines represented in two dimensional coordinate systems. This thesis presents the extension of an analytical modeling technique to predict the 3D field distribution in new cylindrical actuator configurations. One specific technique that is used to analyze and design electromagnetic devices is based on Fourier series to describe sources and the resultingmagnetic fields. In this research, the harmonic modeling technique is extended to describe electromagnetic fields due to presence of permanent magnets in regular and irregular shaped 3D cylindrical structures. The researched modeling technique can be applied to current-free cylindrical problems exhibiting periodicity or a soft-magnetic boundary in the axial direction. The cylindrical structure can posses either circumferential slots, axial slots or rectangular cavities. The assignment and a method to solve the various boundary conditions are discussed in a generic manner to enable model application to a wide range of 3D cylindrical structures. The magnetic field solutions are provided, and the model implementation is presented in matrix form. Model validation is presented by means of a comparison of the magnetic fields in a cylindrical structure with a rectangular cavity calculated using the analytical model and a finite element model. To calculate the magnetic interactions, e.g., attraction and cogging forces due to permanent magnets, the Maxwell stress tensor is analytically evaluated. The harmonic magnetic field solution is used in this evaluation resulting in compact force equations describing the 3D force components between concentric cylinders.
LanguageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Department of Electrical Engineering
Supervisors/Advisors
  • Lomonova, Elena, Promotor
  • Paulides, Johan, Copromotor
Award date25 Sep 2012
Place of PublicationEindhoven
Publisher
Print ISBNs978-90-386-3210-0
DOIs
StatePublished - 2012

Fingerprint

electromagnetic interactions
electromagnetic fields
actuators
permanent magnets
slots
magnetic fields
electromagnetism
concentric cylinders
cavities
theses
Fourier series
stress tensors
configurations
actuation
attraction
specifications
periodic variations
boundary conditions
harmonics
evaluation

Cite this

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title = "Electromagnetic fields and interactions in 3D cylindrical structures : modeling and application",
abstract = "The demand for more efficient and compact actuation systems results in a search for new electromagnetic actuator configurations. To obtain actuators that meet these challenging specifications, accurate modeling of the electromagnetic fields is often a prerequisite. To date, analytical modeling techniques are widely used to predict electromagnetic fields in classical rotary and linear machines represented in two dimensional coordinate systems. This thesis presents the extension of an analytical modeling technique to predict the 3D field distribution in new cylindrical actuator configurations. One specific technique that is used to analyze and design electromagnetic devices is based on Fourier series to describe sources and the resultingmagnetic fields. In this research, the harmonic modeling technique is extended to describe electromagnetic fields due to presence of permanent magnets in regular and irregular shaped 3D cylindrical structures. The researched modeling technique can be applied to current-free cylindrical problems exhibiting periodicity or a soft-magnetic boundary in the axial direction. The cylindrical structure can posses either circumferential slots, axial slots or rectangular cavities. The assignment and a method to solve the various boundary conditions are discussed in a generic manner to enable model application to a wide range of 3D cylindrical structures. The magnetic field solutions are provided, and the model implementation is presented in matrix form. Model validation is presented by means of a comparison of the magnetic fields in a cylindrical structure with a rectangular cavity calculated using the analytical model and a finite element model. To calculate the magnetic interactions, e.g., attraction and cogging forces due to permanent magnets, the Maxwell stress tensor is analytically evaluated. The harmonic magnetic field solution is used in this evaluation resulting in compact force equations describing the 3D force components between concentric cylinders.",
author = "K.J. Meessen",
year = "2012",
doi = "10.6100/IR735355",
language = "English",
isbn = "978-90-386-3210-0",
publisher = "Technische Universiteit Eindhoven",
school = "Department of Electrical Engineering",

}

Meessen, KJ 2012, 'Electromagnetic fields and interactions in 3D cylindrical structures : modeling and application', Doctor of Philosophy, Department of Electrical Engineering, Eindhoven. DOI: 10.6100/IR735355

Electromagnetic fields and interactions in 3D cylindrical structures : modeling and application. / Meessen, K.J.

Eindhoven : Technische Universiteit Eindhoven, 2012. 237 p.

Research output: ThesisPhd Thesis 1 (Research TU/e / Graduation TU/e)Academic

TY - THES

T1 - Electromagnetic fields and interactions in 3D cylindrical structures : modeling and application

AU - Meessen,K.J.

PY - 2012

Y1 - 2012

N2 - The demand for more efficient and compact actuation systems results in a search for new electromagnetic actuator configurations. To obtain actuators that meet these challenging specifications, accurate modeling of the electromagnetic fields is often a prerequisite. To date, analytical modeling techniques are widely used to predict electromagnetic fields in classical rotary and linear machines represented in two dimensional coordinate systems. This thesis presents the extension of an analytical modeling technique to predict the 3D field distribution in new cylindrical actuator configurations. One specific technique that is used to analyze and design electromagnetic devices is based on Fourier series to describe sources and the resultingmagnetic fields. In this research, the harmonic modeling technique is extended to describe electromagnetic fields due to presence of permanent magnets in regular and irregular shaped 3D cylindrical structures. The researched modeling technique can be applied to current-free cylindrical problems exhibiting periodicity or a soft-magnetic boundary in the axial direction. The cylindrical structure can posses either circumferential slots, axial slots or rectangular cavities. The assignment and a method to solve the various boundary conditions are discussed in a generic manner to enable model application to a wide range of 3D cylindrical structures. The magnetic field solutions are provided, and the model implementation is presented in matrix form. Model validation is presented by means of a comparison of the magnetic fields in a cylindrical structure with a rectangular cavity calculated using the analytical model and a finite element model. To calculate the magnetic interactions, e.g., attraction and cogging forces due to permanent magnets, the Maxwell stress tensor is analytically evaluated. The harmonic magnetic field solution is used in this evaluation resulting in compact force equations describing the 3D force components between concentric cylinders.

AB - The demand for more efficient and compact actuation systems results in a search for new electromagnetic actuator configurations. To obtain actuators that meet these challenging specifications, accurate modeling of the electromagnetic fields is often a prerequisite. To date, analytical modeling techniques are widely used to predict electromagnetic fields in classical rotary and linear machines represented in two dimensional coordinate systems. This thesis presents the extension of an analytical modeling technique to predict the 3D field distribution in new cylindrical actuator configurations. One specific technique that is used to analyze and design electromagnetic devices is based on Fourier series to describe sources and the resultingmagnetic fields. In this research, the harmonic modeling technique is extended to describe electromagnetic fields due to presence of permanent magnets in regular and irregular shaped 3D cylindrical structures. The researched modeling technique can be applied to current-free cylindrical problems exhibiting periodicity or a soft-magnetic boundary in the axial direction. The cylindrical structure can posses either circumferential slots, axial slots or rectangular cavities. The assignment and a method to solve the various boundary conditions are discussed in a generic manner to enable model application to a wide range of 3D cylindrical structures. The magnetic field solutions are provided, and the model implementation is presented in matrix form. Model validation is presented by means of a comparison of the magnetic fields in a cylindrical structure with a rectangular cavity calculated using the analytical model and a finite element model. To calculate the magnetic interactions, e.g., attraction and cogging forces due to permanent magnets, the Maxwell stress tensor is analytically evaluated. The harmonic magnetic field solution is used in this evaluation resulting in compact force equations describing the 3D force components between concentric cylinders.

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M3 - Phd Thesis 1 (Research TU/e / Graduation TU/e)

SN - 978-90-386-3210-0

PB - Technische Universiteit Eindhoven

CY - Eindhoven

ER -

Meessen KJ. Electromagnetic fields and interactions in 3D cylindrical structures : modeling and application. Eindhoven: Technische Universiteit Eindhoven, 2012. 237 p. Available from, DOI: 10.6100/IR735355