Rozhnenko Z. Methods of determinations of vectorial characteristics of magnetizing of nonlinear anisotropic anhysteretic mediums

Research object: magnetic systems and materials with nonlinear anisotropic properties. Purpose: development of methods of determination of vector characteristic of magnetizing of nonlinear anisotropic environments in the anhysteretic approximating and construction mathematical models on this basis, providing the increasing of exactness and authenticity of calculations of electrophysical processes and fields in the difficult electromagnetic systems and devices. Research methods: theory of magnetostatics, thermodynamics of the convertible processes, theory of the convex and elliptic functions, theory of integral equations, theory of approaching, methods of numeral differentiation and integration. Theoretical and practical results and novelty: the theory of solid and discrete periodic heterogeneous nonlinear anisotropic environments got subsequent development, in particular, an integral principle of reciprocity is generalized on a three-dimensional case; properties of convex functions are probed withthe purpose of constructing on their basis power potentials for determination the vector characteristics of magnetizing; the minimum amount of source information, sufficient for the construction of vectorial model of magnetizing is first grounded; the method of authentication of magnetic properties of well-organized heterogeneous medium with a structural and magnetic anisotropy in the absence of substantial limits on geometry and magnetic properties of phases is developed. Object and degree of implementation of invention: the mathematical models of the magnetic state of the most widespread brands of electric steel are applied at development of "The library of mathematic models of the vector descriptions of magnetizing of tough electric steel", which is inculcated in "IU Industrial-Service". Efficiency of implementation: take place increasing of quality and authenticity of calculations of the magnetic field at the time of planning and exploitation of electrotechnical equipment with the use of nonlinear anisotropic magnetic conductors. Sphere of use: certification of electric motors of alternating current after repairing.