Periodic Boundary Conditions in the Natural Element Method

The purpose of this paper is to introduce periodic and antiperiodic boundary conditions in the natural element method (NEM). It is shown that as the NEM shape functions verify the Kronecker delta property, the imposition of such boundary conditions can be done in an easy way as in the finite-element...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2016-03, Vol.52 (3), p.1-4
Main Authors: Goncalves, Barbara M. F., Afonso, Marcio M., Coppoli, Eduardo H. R., Schroeder, Marco Aurelio O., Alipio, Rafael S., Ramdane, Brahim, Marechal, Yves
Format: Article
Language:English
Subjects:
Boundary conditions
Deltas
Devices
Electric power
Electrical Machines
Electromagnetic devices
Engineering Sciences
Exploitation
Finite element analysis
Finite element method
Imposition
Magnetic domains
Magnetism
Magnetostatics
Mathematical analysis
Natural Element Method
Periodic Boundary Conditions
Periodic structures
Shape
Symmetry
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Summary:The purpose of this paper is to introduce periodic and antiperiodic boundary conditions in the natural element method (NEM). It is shown that as the NEM shape functions verify the Kronecker delta property, the imposition of such boundary conditions can be done in an easy way as in the finite-element method (FEM). These boundary conditions are important because they allow exploitation of the inherent symmetry of the electromagnetic devices. Therefore, with these techniques the NEM can now easily take advantage of the symmetry of electrical machines. The proposed approach is evaluated, and its results are compared with those obtained by the traditional FEM.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2015.2485958