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Registration Number

0216U002001, 0110U007341 , R & D reports

Title

The development of numeral methods for modelling the electromagnetic field of technical objects

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Head

Rozov Volodymyr,

Registration Date

14-01-2016

Organization

State Institution «Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine»

Description

The object of the study is mathematical and physical models of the external electromagnetic field of the technical object. The review of existing mathematical models which are used to describe the electromagnetic field of technical objects was performed. The complete system of Maxwell's equations is shown and simplified. The traditional numerical methods on the basis of the finite difference method (FDM), the finite element method (FEM) for simulation of electromagnetic fields are considered. The meshless methods including the method of fundamental solutions are also considered. The application of the MFS for solving the Laplace and Poisson equations in two-dimensional and three-dimensional fields of complex shape is considered. The application of the MFS for solving the inverse problems, including inverse magnetostatic problem related to the problem of creating a predetermined magnetic field in a given volume of space is studied. We investigated the use of the MFS for solving several problems of electrodynamics: the system of equations of magnetic hydrodynamics of an incompressible fluid, electromagnetic processes in waveguides and cavities, to the problem of calculating the dispersion of short electromagnetic pulses of the conductive body. A method for processing the results of measurements of the parameters of an external magnetic field is proposed. The method permits to restore the magnetic field distribution in a physically inaccessible to measurement region of space around a technical object with high accuracy. Recommendations on the principles of simulation of the electromagnetic field of technical objects on the basis of MFS is formulated.

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Івлєва Любов Федорівна
Грецьких Світлана Володимирівна
Касумова Людмила Антонівна
Михайлов Валерій Михайлович
Пилюгіна Ольга Юріївна
Резинкіна Марина Михайлівна
Реуцький Сергій Юрійович