Computation of the Magnetic Field Generated by Helicoidal Toroidal Permanent Magnets

Abstract

This article presents an analytical numerical procedure to compute the magnetostatic field generated from permanent magnets shaped by a helicoidal geometry of a toroidal kind. The transversal section of these magnets is pseudorectangular, and the magnetization model that has been used is based on the equivalent magnetic charge. The modulus of the magnetization vector M has a constant value in all points of the magnet case study. M has the same direction as the binormal in each point of the barycentric curve relative to the helicoidal magnet of a toroidal kind. The procedure proposed to evaluate the magnetic field is shown by computing the distribution of the magnetic flux B on a surface parallel to one of the four surfaces that surround the magnet. This evaluation has been performed with reference to a discrete set of points belonging to the same surface. Successively, a bidimensional interpolant function is used to virtually evaluate B in each point of the previous surface that contains the points where B has been actually computed. The results are presented using a three-dimensional representation of vector B obtained by the computation.