# General formulation of the electromagnetic field distribution in machines and devices using Fourier analysis.

172 Citaties (Scopus)

### Uittreksel

We present a general mesh-free description of the magnetic field distribution in various electromagnetic machines, actuators, and devices. Our method is based on transfer relations and Fourier theory, which gives the magnetic field solution for a wide class of two-dimensional (2-D) boundary value problems. This technique can be applied to rotary, linear, and tubular permanent-magnet actuators, either with a slotless or slotted armature. In addition to permanent-magnet machines, this technique can be applied to any 2-D geometry with the restriction that the geometry should consist of rectangular regions. The method obtains the electromagnetic field distribution by solving the Laplace and Poisson equations for every region, together with a set of boundary conditions. Here, we compare the method with finite-element analyses for various examples and show its applicability to a wide class of geometries.
Taal Engels 39-52 14 IEEE Transactions on Magnetics 46 1 10.1109/TMAG.2009.2027598 Gepubliceerd - 2010

### Vingerafdruk

Fourier analysis
Electromagnetic fields
Permanent magnets
Geometry
Actuators
Magnetic fields
Laplace equation
Poisson equation
Boundary value problems
Boundary conditions

### Citeer dit

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title = "General formulation of the electromagnetic field distribution in machines and devices using Fourier analysis.",
abstract = "We present a general mesh-free description of the magnetic field distribution in various electromagnetic machines, actuators, and devices. Our method is based on transfer relations and Fourier theory, which gives the magnetic field solution for a wide class of two-dimensional (2-D) boundary value problems. This technique can be applied to rotary, linear, and tubular permanent-magnet actuators, either with a slotless or slotted armature. In addition to permanent-magnet machines, this technique can be applied to any 2-D geometry with the restriction that the geometry should consist of rectangular regions. The method obtains the electromagnetic field distribution by solving the Laplace and Poisson equations for every region, together with a set of boundary conditions. Here, we compare the method with finite-element analyses for various examples and show its applicability to a wide class of geometries.",
author = "B.L.J. Gysen and K.J. Meessen and J.J.H. Paulides and E. Lomonova",
year = "2010",
doi = "10.1109/TMAG.2009.2027598",
language = "English",
volume = "46",
pages = "39--52",
journal = "IEEE Transactions on Magnetics",
issn = "0018-9464",
publisher = "Institute of Electrical and Electronics Engineers",
number = "1",

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In: IEEE Transactions on Magnetics, Vol. 46, Nr. 1, 2010, blz. 39-52.

TY - JOUR

T1 - General formulation of the electromagnetic field distribution in machines and devices using Fourier analysis.

AU - Gysen,B.L.J.

AU - Meessen,K.J.

AU - Paulides,J.J.H.

AU - Lomonova,E.

PY - 2010

Y1 - 2010

N2 - We present a general mesh-free description of the magnetic field distribution in various electromagnetic machines, actuators, and devices. Our method is based on transfer relations and Fourier theory, which gives the magnetic field solution for a wide class of two-dimensional (2-D) boundary value problems. This technique can be applied to rotary, linear, and tubular permanent-magnet actuators, either with a slotless or slotted armature. In addition to permanent-magnet machines, this technique can be applied to any 2-D geometry with the restriction that the geometry should consist of rectangular regions. The method obtains the electromagnetic field distribution by solving the Laplace and Poisson equations for every region, together with a set of boundary conditions. Here, we compare the method with finite-element analyses for various examples and show its applicability to a wide class of geometries.

AB - We present a general mesh-free description of the magnetic field distribution in various electromagnetic machines, actuators, and devices. Our method is based on transfer relations and Fourier theory, which gives the magnetic field solution for a wide class of two-dimensional (2-D) boundary value problems. This technique can be applied to rotary, linear, and tubular permanent-magnet actuators, either with a slotless or slotted armature. In addition to permanent-magnet machines, this technique can be applied to any 2-D geometry with the restriction that the geometry should consist of rectangular regions. The method obtains the electromagnetic field distribution by solving the Laplace and Poisson equations for every region, together with a set of boundary conditions. Here, we compare the method with finite-element analyses for various examples and show its applicability to a wide class of geometries.

U2 - 10.1109/TMAG.2009.2027598

DO - 10.1109/TMAG.2009.2027598

M3 - Article

VL - 46

SP - 39

EP - 52

JO - IEEE Transactions on Magnetics

T2 - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

SN - 0018-9464

IS - 1

ER -