Exact Analytical Method for Magnetic Field Computation in the Air Gap of Cylindrical Electrical Machines Considering Slotting Effects

Author

Lubin, Thierry ; Mezani, Smail ; Rezzoug, Abderrezak

Author_Institution

Groupe de Rech. en Electrotech. et Electron. de Nancy, Univ. Henri Poincare, Nancy, France

Volume

46

Issue

4

fYear

2010

fDate

4/1/2010 12:00:00 AM

Firstpage

1092

Lastpage

1099

Abstract

This paper deals with an analytical method for magnetic field calculation in the air gap of cylindrical electrical machines including slotting effects. The analytical method is based on the resolution of the two-dimensional Laplace´s equation in polar coordinates by the separation of variables technique. The originality of the proposed model is to take into account the mutual influence of slots on the air-gap magnetic field. The proposed method is sufficiently general to be used as a tool for air-gap magnetic field calculation of slotted electrical machines as reluctance or permanent magnet motors or actuators. Magnetic field and electromagnetic torque computed with the proposed analytical method are validated through finite-element analysis.

Keywords

Laplace equations; air gaps; electric actuators; finite element analysis; machine theory; magnetic field effects; permanent magnet motors; reluctance motors; Magnetic field torque; air-gap magnetic field computation; electromagnetic torque; exact analytical method; finite-element analysis; permanent magnet actuators; permanent magnet motors; polar coordinates; reluctance motors; slotted cylindrical electrical machines air gap; two-dimensional Laplace equation; variables technique separation; Analytical solution; electrical machines; magnetic field; slotting effect;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2009.2036257

Filename

5339217