NUMERICAL COMPUTATION OF ELECTRIC FIELDS IN PRESENCE OF CURVILINEAR INTERFACE BETWEEN CONDUCTIVE AND NON-CONDUCTIVE MEDIA

Purpose. To elaborate a method of electric field numerical calculation in systems with curved boundaries between conductive and non-conductive media at final volume method usage and application of the rectangular grids. Methodology. At electric field calculation in quasi-stationary approximation, po...

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Bibliographic Details
Published in:Electronics and electromechanics 2016-01 (1), p.42-47
Main Authors: Sokol, E.I, Rezinkina, M.M, Sosina, E.V, Gryb, O.G
Format: Article
Language:English
Subjects:
Approximation
calculated grid
Coronas
curvilinear borders
Electric discharges
electric field intensity
Electric fields
Electrical resistivity
finite volume method
Grid computing
Mathematical analysis
Numerical analysis
Radius of curvature
rounded tops
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Summary:Purpose. To elaborate a method of electric field numerical calculation in systems with curved boundaries between conductive and non-conductive media at final volume method usage and application of the rectangular grids. Methodology. At electric field calculation in quasi-stationary approximation, potential of the whole conductive object (rod) is constant. At final difference scheme writing, presence of the curved part of the boundary between conducting and non-conducting media has been taking into account as follows. It was supposed that curved section complements the closed loop on which integration of the solvable equation is done instead of a straight section which extends within a conducting medium. Usage of this approach allows taking into account square of the curved sections of the boundary and distance between surface of non-conductive medium and nearest nodes of the computational grid. Results. Dependence of the maximum electric field intensity on the height and radius of curvature peaks rods has been got with the help of calculations. As a result, a polynomial approximation for the analytical expression of the external electric field intensity, upon which application to the conductive object of a certain height and radius of curvature of its top, corona discharges will develop. References 13, figures 4. Key words: rounded tops, curvilinear borders, finite volume method, calculated grid, electric field intensity. [TEXT NOT REPRODUCIBLE IN ASCII]
ISSN:2074-272X
2309-3404
DOI:10.20998/2074-272X.2016.1.08