ЗАДАЧА ПРОДОВЖЕННЯ ПЛОСКОМЕРИДІАННОГО МАГНІТОСТАТИЧНОГО ПОЛЯ  З ПЛОСКОЇ ГРАНИЧНОЇ ПОВЕРХНІ ФЕРОГМАГНЕТИКА

V.M.  Mikhailov

doi:10.15407/techned2025.01.012

No. 1 (2025), Theoretical Electrical Engineering and Electrophysics

No. 1 (2025)

Theoretical Electrical Engineering and Electrophysics

PROBLEM OF AXISYMMETRIC STEADY MAGNETIC FIELD CONTINUATION FROM FLAT FERROMAGNETIC BOUNDARY

Published 2025-01-09

https://doi.org/10.15407/techned2025.01.012

V.M. Mikhailov⁺⁻

V.M. Mikhailov

National Technical University «Kharkiv Polytechnic Institute», Kirpichova str., 2, Kharkiv, 61002, Ukraine

https://orcid.org/0000-0001-7989-5932

ARTICLE_2_PDF (Українська)

Keywords

steady magnetic field
problem of field continuation
method of partial solutions
Hankel's integral transformation
electromagnet pole profile магнітостатичне поле
задача продовження поля
метод часткових розв’язків
інтегральне перетворення Ханкеля
полюсний наконечник електромагніту

How to Cite

[1]

Михайлов, В. 2025. PROBLEM OF AXISYMMETRIC STEADY MAGNETIC FIELD CONTINUATION FROM FLAT FERROMAGNETIC BOUNDARY. Tekhnichna Elektrodynamika. 1 (Jan. 2025), 012. DOI:https://doi.org/10.15407/techned2025.01.012.

Abstract

The problem of axisymmetric steady magnetic field continuation from flat boundary surface of ferromagnetic is formulated for magnetic flux and scalar potential. Boundary conditions for magnetic flux are not classical because on boundary magnetic flux is unknown and its normal derivative equal zero. The formulation for scalar potential is Cauchy's problem for elliptical partial differential equation. Analytical solutions of the problem are obtained by method of partial solutions, which depend on parameter continuously, and Hankel's integral transformation. It is shown that there are similar properties in problems of axisymmetric fields continuation from flat boundaries of ideal conductor for magnetic field and conductor for steady electric field. It is fixed that field lines, which bound unknown profile, are determined directly by solution of Cauchy's problem for one from two functions. Equipotential lines are calculated to determine of electromagnetic pole profile. References 7, figures 2, table 1.

https://doi.org/10.15407/techned2025.01.012

ARTICLE_2_PDF (Українська)

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