Construction of the Scheme of Substitution of Magnetic Systems of Electrical Devices Using Connected Field Potentials

Abstract

The problem of developing an algorithm for the formalized construction of equivalent circuits for electro-mechanical devices containing several magnetic systems, the relative position of which in space can change, is considered and solved. It is assumed that the magnetic systems are made of anisotropic electrical steel with non-linear characteristics. Generalized formulations of boundary value problems describing the distribution of the magnetic field in the considered electrical systems and their variational formulations are given. A combined method of finite elements and complex boundary elements is described, which makes it possible to calculate the field in magnetic systems and in an area not filled with steel. A formalized procedure for constructing magnetic equivalent circuits for electrical devices using conjugate potentials that have the meaning of the scalar poten-tial and the magnetic field flux function is described. It is shown that the use of conjugate potentials makes it possible to directly find the magnetic fluxes and magnetic voltages used for constructing equivalent circuits without numerical differentiation and integration. A step-by-step algorithm for finding the equivalent circuit topology and component branch equations is described. An example of building a chain model of an electro-magnet is given. The estimation of the error in calculating its characteristics using a magnetic equivalent cir-cuit is carried out.