РЕШЕНИЕ ЗАДАЧИ ПРОДОЛЖЕНИЯ МАГНИТНОГО ПОЛЯ С ЦИЛИНДРИЧЕСКОЙ ПОВЕРХНОСТИ ПРИ ПОМОЩИ ФУНКЦИИ ГРИНА

O.Ya.  Konovalov; V.M.  Mikhailov; M.P.  Petrenko

doi:10.15407/techned2016.05.011

No. 5 (2016), Theoretical Electrical Engineering and Electrophysics

No. 5 (2016)

Theoretical Electrical Engineering and Electrophysics

SOLUTION OF THE PROBLEM OF THE MAGNETIC FIELD CONTINUATION FROM CYLINDRICAL SURFACE BY USING GREEN’S FUNCTION

Published 2016-07-07

https://doi.org/10.15407/techned2016.05.011

O.Ya. Konovalov⁺⁻
V.M. Mikhailov⁺⁻
M.P. Petrenko⁺⁻

O.Ya. Konovalov

National technical university “Kharkiv polytechnic institute”, Bagaliіa str., 21, Kharkiv, 61002, Ukraine

https://orcid.org/0000-0002-0679-4214

V.M. Mikhailov

National technical university “Kharkiv polytechnic institute”, Bagaliіa str., 21, Kharkiv, 61002, Ukraine

M.P. Petrenko

National technical university “Kharkiv polytechnic institute”, Bagaliіa str., 21, Kharkiv, 61002, Ukraine

ARTICLE_2_PDF (Українська)

Keywords

problem of the magnetic flux continuation
Green's function
pulse magnetic field
profile of massive solenoid
a sharp skin effect задача продолжения магнитного потока
функция Грина
импульсное магнитное поле
профиль массивного соленоида
резкий поверхностный эффект

How to Cite

[1]

Коновалов, О. , Михайлов, В. and Петренко, Н. 2016. SOLUTION OF THE PROBLEM OF THE MAGNETIC FIELD CONTINUATION FROM CYLINDRICAL SURFACE BY USING GREEN’S FUNCTION. Tekhnichna Elektrodynamika. 5 (Jul. 2016), 011. DOI:https://doi.org/10.15407/techned2016.05.011.

Abstract

The method for solving of the problem of continuing magnetic flux from cylindrical surface with a given distribution of the tangential component of the magnetic induction is developed. The using of circular infinitely thin conductors with the currents and the responding of Green’s function is proposed. An example of determining the profile of massive single-turn solenoid, for generating given induction distribution of pulsed magnetic field on surface of the long cylindrical shell with sharp skin effect in conductors. References 7, figures 3.

https://doi.org/10.15407/techned2016.05.011

ARTICLE_2_PDF (Українська)

References

Belyj I.V., Fertik C.M., Khimenko L.T. Magnetic pulse-forming hand-book. – Kharkiv: Vyshcha shkola, 1977. – 168 p. (Rus)

Vasetskiy Yu.М., Vlasov D.I., Konovalov O.Ya., Мikhailov V.М. Some solves in elementary functions of continue flat field problem // Conference proceedings SIMULATION-2012. – 2012. – Pp. 232-236. (Rus)

Lavrentev М.М. About some ill-posed problems of mathematical physics. – Novosibirsk, 1962. – 352 p. (Rus)

Lagutin A.S., Ozhogin V.I. Strong pulse magnetic fields in physical experiment. – Мoskva: Energoatomizdat, 1988. – 192 p. (Rus)

Мikhailov V.М. Shapes determination of the electrodes and coils to generate predetermined field distributions // Tekhnichna Elektrodynamika. Tematychnyi vypusk "Problemy suchasnoi elektrotekhniky". – 2000. – Part 6. – Pp. 13-16. (Rus)

Мikhailov V.М. The Green's function and integral equations axisymmetric field devices with long cylinders // Elektrichestvo. – 1991. – No 10. – Pp. 38-42. (Rus)

Smite V. Electrostatics and Electrodynamics. – Мoskva: Inostrannaia Literatura, 1954. – 604 p. (Rus)