Title :
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
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2051558
