Pavlyuk A. Magnetic fields and parameters of toroidal superconducting magnetic energy storage (SMES) for electric power applications

The object of research: superconducting magnetic systems with large energy. The purpose of research: The aim of the thesis is to develop mathematical models and corresponding computational methods for the researching of superconducting toroidal magnet systems with mechanical elements inside the torus. Methods of research: electromagnetic field theory, mathematical physics, in particular, the asymptotic method, the methods of continuum mechanics, methods of spectral analysis. Theoretical and practical results and innovations: A new mathematical model and computational methods for research superconducting magnet systems with mechanical elements inside the torus, which allow to take into account the geometric features of the systems and carry out research of magnetic fields, electromagnetic force, energy and mass and size parameters inductive electricity storage purpose. It is proved that the overall ratio between the dimensionless parameters of virial theorem related mechanical stress in tension and compression for the magnetic configuration with mechanical elements inside torus. The dependence of dimensionless parameters of magnetic systems with a limited number of coils and the effects of their value of the geometrical characteristics of the magnetic system and the total energy field, maximum allowable values of induction and current density. A subject degree of introduction: Results of the research and development of new superconducting magnetic system configuration inductive storage with high energy transferred and accepted for technical using in the National Science Center "Kharkov Institute of Physics and Technology". Effectiveness of implementation: The results obtained are important for creating a new high-tech equipment in electrical power systems. Sphere of use: electrical engineering.