ON THE SIMILARITY OF PLANE PULSED MAGNETIC FIELDS CONTINUED FROM DIFFERENT COORDINATE AXES

Purpose. The purpose of this work is formulation of similarity conditions for plane magnetic fields at a sharp skin-effect continued in non-conducting and non-magnetic medium from different axes bounding plane surfaces of conductors. Methodology. Classic formulation of Cauchy problem for magnetic ve...

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Autor principal:	V. M. Mikhailov
Formato:	article
Lenguaje:	EN RU UK
Publicado:	National Technical University "Kharkiv Polytechnic Institute" 2020
Materias:	plane magnetic field sharp skin-effect cauchy problem for laplace equation similarity theory Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/9edfc999fba541399d94a7bdc2faf066
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spelling	oai:doaj.org-article:9edfc999fba541399d94a7bdc2faf0662021-12-02T16:30:41ZON THE SIMILARITY OF PLANE PULSED MAGNETIC FIELDS CONTINUED FROM DIFFERENT COORDINATE AXES10.20998/2074-272X.2020.5.072074-272X2309-3404https://doaj.org/article/9edfc999fba541399d94a7bdc2faf0662020-10-01T00:00:00Zhttp://eie.khpi.edu.ua/article/view/2074-272X.2020.5.07/215149https://doaj.org/toc/2074-272Xhttps://doaj.org/toc/2309-3404Purpose. The purpose of this work is formulation of similarity conditions for plane magnetic fields at a sharp skin-effect continued in non-conducting and non-magnetic medium from different axes bounding plane surfaces of conductors. Methodology. Classic formulation of Cauchy problem for magnetic vector potential Laplace equations, mathematic physics methods and basics similarity theory are used. Two problems are considered: the problem of initial field continuation from one axis and the problem of similar field continuation form other axis on which magnetic flux density or electrical field strength in unknown. Results. Necessary and sufficient similarity conditions of plane pulsed or high-frequency magnetic fields continued from different axes of rectangular coordinates are formulated. For the given odd and even magnetic flux density distributions on axis of initial field corresponding the distributions on axis and solution of continued similar field problem are obtained. Originality. It is proved that for similarity of examined fields the proportion of corresponding vector field projections represented by dimensionless numbers in similar points of axes is necessary and sufficient. V. M. MikhailovNational Technical University "Kharkiv Polytechnic Institute"articleplane magnetic fieldsharp skin-effectcauchy problem for laplace equationsimilarity theoryElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENRUUKElectrical engineering & Electromechanics, Iss 5, Pp 44-49 (2020)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	plane magnetic field sharp skin-effect cauchy problem for laplace equation similarity theory Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	plane magnetic field sharp skin-effect cauchy problem for laplace equation similarity theory Electrical engineering. Electronics. Nuclear engineering TK1-9971 V. M. Mikhailov ON THE SIMILARITY OF PLANE PULSED MAGNETIC FIELDS CONTINUED FROM DIFFERENT COORDINATE AXES
description	Purpose. The purpose of this work is formulation of similarity conditions for plane magnetic fields at a sharp skin-effect continued in non-conducting and non-magnetic medium from different axes bounding plane surfaces of conductors. Methodology. Classic formulation of Cauchy problem for magnetic vector potential Laplace equations, mathematic physics methods and basics similarity theory are used. Two problems are considered: the problem of initial field continuation from one axis and the problem of similar field continuation form other axis on which magnetic flux density or electrical field strength in unknown. Results. Necessary and sufficient similarity conditions of plane pulsed or high-frequency magnetic fields continued from different axes of rectangular coordinates are formulated. For the given odd and even magnetic flux density distributions on axis of initial field corresponding the distributions on axis and solution of continued similar field problem are obtained. Originality. It is proved that for similarity of examined fields the proportion of corresponding vector field projections represented by dimensionless numbers in similar points of axes is necessary and sufficient.
format	article
author	V. M. Mikhailov
author_facet	V. M. Mikhailov
author_sort	V. M. Mikhailov
title	ON THE SIMILARITY OF PLANE PULSED MAGNETIC FIELDS CONTINUED FROM DIFFERENT COORDINATE AXES
title_short	ON THE SIMILARITY OF PLANE PULSED MAGNETIC FIELDS CONTINUED FROM DIFFERENT COORDINATE AXES
title_full	ON THE SIMILARITY OF PLANE PULSED MAGNETIC FIELDS CONTINUED FROM DIFFERENT COORDINATE AXES
title_fullStr	ON THE SIMILARITY OF PLANE PULSED MAGNETIC FIELDS CONTINUED FROM DIFFERENT COORDINATE AXES
title_full_unstemmed	ON THE SIMILARITY OF PLANE PULSED MAGNETIC FIELDS CONTINUED FROM DIFFERENT COORDINATE AXES
title_sort	on the similarity of plane pulsed magnetic fields continued from different coordinate axes
publisher	National Technical University "Kharkiv Polytechnic Institute"
publishDate	2020
url	https://doaj.org/article/9edfc999fba541399d94a7bdc2faf066
work_keys_str_mv	AT vmmikhailov onthesimilarityofplanepulsedmagneticfieldscontinuedfromdifferentcoordinateaxes
_version_	1718383944501559296

ON THE SIMILARITY OF PLANE PULSED MAGNETIC FIELDS CONTINUED FROM DIFFERENT COORDINATE AXES

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