Kucheryavaya I. Electromagnetic fields and processes in heterogeneous dielectric and conducting media (multiscale modeling).

The subject of inquiry: electromagnetic fields and processes in heterogeneous dielectric and conducting media of electrotechnical equipment with complex hierarchical structure. The purpose of research: subsequent development of electromagnetic field theory as new scientific approaches and mathematical models for computation of electromagnetic fields and coupled processes with different physical nature in heterogeneous dielectric and conducting media of electrotechnical equipment by multiscale modeling. The methods of research: are based on electromagnetic field theory and theory of mathematical physics. The methods of multiscale and multiphysic modeling, numerical finite-element method are used. Theoretical and practical results, novelty: the topical scientific-and-applied problem which consists in the development of theory for computation of electromagnetic fields and coupled processes with different physical nature in heterogeneous dielectric and conducting media of electrotechnical equipment by multiscale modelling is solved. The work is destined to improve the equipment and provide its reliable operation. The multiscale method is developed for investigation of electrotechnical equipment. The subject and degree of application: the principal results of the work were applied at the Private Joint Stock Company "Yuzhcable Works" (Kharkov, Ukraine) and are used in scientific-and-methodical publication "Technical guide for designing, testing, servicing of cable power lines using 64/110 kV cross-linked polyethylene insulated cables" (Kharkov, 2007). Efficiency of application: the results and practical recommendations were used as a basis for development and industrial production of high-voltage cables up to 330 kV. Sphere of utilization: computations and study of electromagnetic fields and coupled physical processes in electrotechnical equipment, including power cables, cable lines and induction heating installations.7452