Title :
Ampere´s Circuital 3-D Model for Noncuboidal Magnets
Author :
Compter, J.C. ; Janssen, J.L.G. ; Lomonova, E.A.
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands
Abstract :
Analytical equations describing the three-dimensional field of permanent magnets are attractive tools for the optimization of permanent-magnet based structures. The shape of the magnets determines to a high extent the type of solution. The objective of this research is to find the equations describing the field of a pyramidal frustum, based on the Biot-Savart law. We develop analytical equations describing the field of current carrying sheets. These equations make it possible to treat the field of any permanent-magnet shape with a uniform magnetization and flat surfaces.
Keywords :
electromagnetism; magnetisation; permanent magnets; sheet materials; Ampere circuital 3D model; Biot-Savart law; current carrying sheet fields; flat surfaces; noncuboidal magnets; permanent-magnet based structures; pyramidal frustum; uniform magnetization; Equations; Integrated circuit modeling; Magnetic flux; Mathematical model; Permanent magnets; Solid modeling; Analytical model; magnetic analysis; magnetic field; permanent magnets;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2070804
