Calculating exciting fields using the fast multipole method and an integral transformation to the coil surface

Author

Groh, Friedemann ; Beck, David ; Hafla, Wolfgang ; Buchau, André ; Rucker, W.M.

Author_Institution

Inst. for Theor. of Electr. Eng., Stuttgart Univ., Germany

Volume

41

Issue

5

fYear

2005

fDate

5/1/2005 12:00:00 AM

Firstpage

1384

Lastpage

1387

Abstract

A practicable method for computing exciting fields is presented. To avoid volume integration and meshing one uses a transformation of Biot-Savarts´s law to the coil surface. In doing so, the exciting field strength is represented by a linear combination of single- and double-layer potentials. Both can be evaluated by the fast multipole method. The method is valid for a considerably class of coil geometries including race track and bedstead coils with arbitrary cross section.

Keywords

coils; computational electromagnetics; magnetic field integral equations; magnetostatics; Biot-Savart law; coil geometry; coil surface; double-layer potential; exciting field strength; exciting magnetic fields; fast multipole method; integral transformation; magnetostatics; numerical methods; single-layer potential; Coils; Current density; Geometry; Laplace equations; Magnetic fields; Magnetostatics; Rough surfaces; Shape; Surface roughness; Wires; Exciting magnetic fields; fast multipole method (FMM); magnetostatics; numerical methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2005.844355

Filename

1430865