Calculation of the Energy of Permanent Magnets by the Method of Point Magnetic Moments

Abstract

Abstract The article proposes to use the gridless method of point magnetic moments to calculate the energy of devices with permanent magnets. The method makes it possible to exclude the operations of integration over the volume and surfaces, replacing them by summing the contributions of the moments, and significantly reducing the total number of unknowns. The method allows the use of well-known sources, namely charges. The stages of the method implementation are given and examples of its implementation are considered. The calculation results coincide with the known analytical solutions for bodies in the form of a ball and a cylinder. Numerical analysis showed that the total field of a permanent magnet, including the field of the permanent magnet itself and the field of the surrounding space, consisting of piecewise homogeneous subdomains, is equal to zero. An example of the placement of point magnetic moments in a permanent magnet in the form of a parallelepiped is shown. The calculation of its field showed the effectiveness of the method in comparison with the finite element method. The results obtained make it possible to recommend the use of the method of point magnetic moments for calculating the energy of permanent magnets.