Employing Toroidal Harmonics for Computing the Magnetic Field From Axially Magnetized Multipole Cylinders

Author

Selvaggi, Jerry P. ; Salon, Sheppard J. ; Chari, Madabushi V K

Author_Institution

Electr., Comput., & Syst. Eng. Dept., Rensselaer Polytech. Inst., Troy, NY, USA

Volume

46

Issue

10

fYear

2010

Firstpage

3715

Lastpage

3723

Abstract

We employ a toroidal harmonic expansion in order to develop a three-dimensional solution for the magnetic field due to a permanent-magnet multipole cylinder. The equations derived in this paper can be used for the optimization and design of various devices that employ cylindrical multipole magnets. The analytical equations employ hypergeometric functions derived from the analytical integration of zeroth-order toroidal functions. Hypergeometric functions are quite general and are very useful for parametric studies.

Keywords

harmonics; integration; permanent magnets; shapes (structures); analytical integration; axially magnetized multipole cylinders; cylindrical multipole magnets; hypergeometric functions; magnetic field; optimization; permanent magnet; toroidal harmonic expansion; zeroth-order toroidal functions; Computer industry; Design optimization; Engine cylinders; Equations; Magnetic analysis; Magnetization; Parametric study; Permanent magnets; Systems engineering and theory; Toroidal magnetic fields; Legendre function; multipole cylinder; permanent magnet; toroidal harmonic;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2051558

Filename

5510153