DOI: https://doi.org/10.15407/techned2016.05.011
SOLUTION OF THE PROBLEM OF THE MAGNETIC FIELD CONTINUATION FROM CYLINDRICAL SURFACE BY USING GREEN’S FUNCTION
Journal |
Tekhnichna elektrodynamika |
Publisher |
Institute of Electrodynamics National Academy of Science of Ukraine |
ISSN |
1607-7970 (print), 2218-1903 (online) |
Issue |
№ 5, 2016 (September/Oktober) |
Pages |
11 – 13 |
Authors O.Ya. Konovalov*, V.M. Mikhailov, M.P. Petrenko National technical university “Kharkiv polytechnic institute”, Bagaliіa str., 21, Kharkiv, 61002, Ukraine, e-mail:
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* ORCID ID : http://orcid.org/0000-0002-0679-4214
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.
Key words: problem of the magnetic flux continuation, Green's function, pulse magnetic field, profile of massive solenoid, a sharp skin effect.
Received: 15.01.2016 Accepted: 12.07.2016 Published: 13.09.2016
References
1. Belyj I.V., Fertik C.M., Khimenko L.T. Magnetic pulse-forming hand-book. Kharkiv: Vyshcha shkola, 1977. 168 p. (Rus) 2. 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. P. 232-236. (Rus) 3. Lavrentev М.М. About some ill-posed problems of mathematical physics. Novosibirsk, 1962. 352 p. (Rus) 4. Lagutin A.S., Ozhogin V.I. Strong pulse magnetic fields in physical experiment. Мoskva: Energoatomizdat, 1988. 192 p. (Rus) 5. 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. P. 13-16. (Rus) 6. Мikhailov V.М. The Green's function and integral equations axisymmetric field devices with long cylinders. Elektrichestvo. 1991. No 10. P. 38-42. (Rus) 7. Smite V. Electrostatics and Electrodynamics. Мoskva: Inostrannaia Literatura, 1954. 604 p. (Rus)
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