Analytical Calculation of the Force Between a Rectangular Coil and a Cuboidal Permanent Magnet

Author

Rovers, J.M.M. ; Jansen, J.W. ; Lomonova, Elena A.

Author_Institution

Dept. of Electr. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands

Volume

46

Issue

6

fYear

2010

fDate

6/1/2010 12:00:00 AM

Firstpage

1656

Lastpage

1659

Abstract

This paper concerns the analysis of the force between a rectangular coil and a cuboidal permanent magnet. The magnetic flux density distribution due to the permanent magnet is determined using the surface charge method, and an analytical equation is obtained for the Lorentz force on a cuboidal current carrying volume. These analytical results are used to calculate the Lorentz force on a rectangular coil modeled using four current carrying volumes. The calculations are verified both by measurements and numerical integration. These results can be used in the design and real-time control of planar actuators for industrial levitation/positioning platforms or other (ironless) actuators.

Keywords

coils; finite element analysis; interface magnetism; magnetic flux; magnetic forces; permanent magnets; Lorentz force; cuboidal current carrying volume; cuboidal permanent magnet; magnetic flux density; numerical integration; planar actuators; rectangular coil; surface charge method; Actuators; Coils; Equations; Industrial control; Levitation; Lorentz covariance; Magnetic analysis; Magnetic flux density; Metals industry; Permanent magnets; Coil; Lorentz force; permanent magnet; planar actuator;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2040589

Filename

5467369