Method of formation of numerical projection-grid algorithm on basis of «three-dimensional regular element» for calculation of 3D-models of magnetic field in cylindrical coordinate system for synchronous magnetoelectric machines as part of high-tech electr

Abstract

The paper proposes a method of forming a numerical projectiongrid algorithm on a regular triangulation network for the calculation of three-dimensional models of the magnetic field of synchronous magnetoelectric machines with excitation from permanent magnets (SMEM PM) using recurrent expressions obtained on the basis of a «three-dimensional regular element» for a cylindrical coordinate system. The use of the «three-dimensional regular element» makes it possible to automate the process of forming a global system of linear algebraic equations in the projection-grid Galerkin method in combination with the finite element method bypassing the stage of constructing elemental systems of equations. When solving the problem of optimization of designs of low-speed synchronous magnetoelectric machines in the electrical complex, the Central place in the refinement of the solution is occupied by the calculation of the magnetic field. According to the known distribution of the magnetic field in the regions occupied by the winding current are calculated inductance of the winding, back-EMF, the performance of SMEM PM in the high-tech electrical complex (HTEC).