Getman A. Analysis and synthesis of the magnetic field structure of technical objects on the basis of spatial harmonics

The dissertation is devoted to solve the actual scientific problem of the development of theoretical bases, analysis and synthesis methods and means of the spatial structure of the stationary magnetic field of technical objects on the basis scalar potential’s of elongated spheroidal, spherical, flattened-spheroidal, and cylindrical harmonics. In the thesis substantiated practical application principles of spatial harmonic analysis of the magnetic field near the technical objects (TO) surface, taking into account their forms peculiarities. To use as a theoretical basis for the synthesis of magnetic fields current sources, the generalized vector’s potential representation is obtained in the form of its interrelation with elongated-spheroidal, spherical and oblatespheroidal harmonics of the scalar potential of the magnetic field. The experimental determination method of amplitude coefficients of spatial harmonics, based on the generalized representation of spherical and spheroidal harmonics of the magnetic field, is developed for practical determination of the spatial structure of the magnetic field near the surface of technical objects, using a single experimental-methodical basis. The method for practical determination of the values of the 24 amplitude coefficients of spherical harmonics of a magnetic field by means of a system of circular contour windings using, in the mathematical processing of rotational signatures, the property of reducing the relative contribution to the measured magnetic flux from the harmonics of the higher power magnetic field when moving away from the surface of TO is developed. The method of experimental determination of multipole magnetic moments, based on integral processing of pass-through characteristics of three magnetics induction projections, fixed near the technical object, with its linear displacement, is developed. The classification of methods and means of experimental spherical harmonic’s determination of technical object’s magnetic field is fulfilled. The principles of system’s construction for experimental determination of spatial harmonics of magnetic field TO are substantiated. An analytical electromagnet’s model of the magnetic field, based on a cylindrical harmonic analysis of the inductive magnetization of its ferromagnetic core, was developed to find cylindrical electromagnet’s parameters with a maximum-created magnetic moment. To create a quadrupole electromagnet with the given quality of the magnetics field spatial structure, a method for minimizing the contributions of nonquadrupture intermediate-integral lengths of the magnetic induction coefficients in the aperture, based on their found relationship with the parameters of the floors yarn construction and the superconducting current winding, was developed.