ON THE INFLUENCE OF THE LEVEL OF AN EXTERNAL MAGNETIC FIELD AND THE LENGTH ON THE MAGNETIC MOMENT OF CYLINDRICAL CORES

Purpose. Analysis of inhomogeneous magnetization of long cylindrical permalloy 50N cores by a uniform constant magnetic field and the influence of length and field level on their magnetic moment. Methodology. The magnetostatic field of a non-uniformly magnetized in a uniform magnetic field long cyli...

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Бібліографічні деталі
Дата:2018
Автор: Chunikhin, K. V.
Формат: Стаття
Мова:English
Ukrainian
Опубліковано: National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine” 2018
Теми:
Онлайн доступ:http://eie.khpi.edu.ua/article/view/2074-272X.2018.6.07
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Назва журналу:Electrical Engineering & Electromechanics

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Electrical Engineering & Electromechanics
id eiekhpieduua-article-150308
record_format ojs
spelling eiekhpieduua-article-1503082018-12-14T09:40:35Z ON THE INFLUENCE OF THE LEVEL OF AN EXTERNAL MAGNETIC FIELD AND THE LENGTH ON THE MAGNETIC MOMENT OF CYLINDRICAL CORES О ВЛИЯНИИ УРОВНЯ ВНЕШНЕГО МАГНИТНОГО ПОЛЯ И ДЛИНЫ НА МАГНИТНЫЙ МОМЕНТ ЦИЛИНДРИЧЕСКИХ СЕРДЕЧНИКОВ Chunikhin, K. V. electromagnet spacecraft control system non-uniformly magnetized core integral equation fictitious magnetic charge magnetization curve magnetic moment of the core 621.3 электромагнит система управления космическим аппаратом неоднородно намагниченный сердечник интегральное уравнение фиктивный магнитный заряд кривая намагничивания магнитный момент сердечника 621.3 Purpose. Analysis of inhomogeneous magnetization of long cylindrical permalloy 50N cores by a uniform constant magnetic field and the influence of length and field level on their magnetic moment. Methodology. The magnetostatic field of a non-uniformly magnetized in a uniform magnetic field long cylindrical core of an electromagnet of a spacecraft control system is considered. To calculate this field, a transformation of the integral equation with respect to the density of fictitious magnetic charges, as well as an iterative algorithm for its numerical solution, are proposed. Results. The convergence of the algorithm and the fact that the magnetic moment of the core depends heavily on its length and the level of the external magnetic field is shown. We have made an analysis of the influence of the length of a permalloy 50N core in the entire range of the magnetization curve and the level of a uniform external magnetic field on the axial projection of the magnetic moment of the core. Originality. The use of an almost equal distribution of the axial projection of the resulting magnetic field in the cross sections of the greater part of the cylindrical core and its division into cylindrical elements can significantly reduce the order of the system of algebraic equations approximating the integral equation for the surface density of fictitious magnetic charges for its numerical solution. Practical value. Recommendations regarding the level of the external field created by the electromagnet coil, the increase of the magnetic moment in cases of long cores and the choice of the number of cylindrical elements depending on the length of the core are given.  Рассмотрено магнитостатическое поле неоднородно намагниченного в однородном магнитном поле длинного цилиндрического сердечника электромагнита системы управления космическим аппаратом. Для расчета этого поля предложены преобразование интегрального уравнения относительно плотности фиктивных магнитных зарядов, а также итерационный алгоритм его численного решения. Сделан анализ влияния длины сердечника из пермаллоя 50Н во всем диапазоне кривой намагничивания и уровня внешнего магнитного поля на осевую проекцию магнитного момента сердечника, а также даны практические рекомендации относительно уровня внешнего поля, создаваемого катушкой электромагнита, и увеличения магнитного момента в случаях длинных сердечников. National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine” 2018-12-12 Article Article application/pdf application/pdf http://eie.khpi.edu.ua/article/view/2074-272X.2018.6.07 10.20998/2074-272X.2018.6.07 Electrical Engineering & Electromechanics; No. 6 (2018); 51-55 Электротехника и Электромеханика; № 6 (2018); 51-55 Електротехніка і Електромеханіка; № 6 (2018); 51-55 2309-3404 2074-272X en uk http://eie.khpi.edu.ua/article/view/2074-272X.2018.6.07/149836 http://eie.khpi.edu.ua/article/view/2074-272X.2018.6.07/149837 Copyright (c) 2018 K. V. Chunikhin https://creativecommons.org/licenses/by-nc/4.0
institution Electrical Engineering & Electromechanics
collection OJS
language English
Ukrainian
topic electromagnet
spacecraft control system
non-uniformly magnetized core
integral equation
fictitious magnetic charge
magnetization curve
magnetic moment of the core
621.3
электромагнит
система управления космическим аппаратом
неоднородно намагниченный сердечник
интегральное уравнение
фиктивный магнитный заряд
кривая намагничивания
магнитный момент сердечника
621.3
spellingShingle electromagnet
spacecraft control system
non-uniformly magnetized core
integral equation
fictitious magnetic charge
magnetization curve
magnetic moment of the core
621.3
электромагнит
система управления космическим аппаратом
неоднородно намагниченный сердечник
интегральное уравнение
фиктивный магнитный заряд
кривая намагничивания
магнитный момент сердечника
621.3
Chunikhin, K. V.
ON THE INFLUENCE OF THE LEVEL OF AN EXTERNAL MAGNETIC FIELD AND THE LENGTH ON THE MAGNETIC MOMENT OF CYLINDRICAL CORES
topic_facet electromagnet
spacecraft control system
non-uniformly magnetized core
integral equation
fictitious magnetic charge
magnetization curve
magnetic moment of the core
621.3
электромагнит
система управления космическим аппаратом
неоднородно намагниченный сердечник
интегральное уравнение
фиктивный магнитный заряд
кривая намагничивания
магнитный момент сердечника
621.3
format Article
author Chunikhin, K. V.
author_facet Chunikhin, K. V.
author_sort Chunikhin, K. V.
title ON THE INFLUENCE OF THE LEVEL OF AN EXTERNAL MAGNETIC FIELD AND THE LENGTH ON THE MAGNETIC MOMENT OF CYLINDRICAL CORES
title_short ON THE INFLUENCE OF THE LEVEL OF AN EXTERNAL MAGNETIC FIELD AND THE LENGTH ON THE MAGNETIC MOMENT OF CYLINDRICAL CORES
title_full ON THE INFLUENCE OF THE LEVEL OF AN EXTERNAL MAGNETIC FIELD AND THE LENGTH ON THE MAGNETIC MOMENT OF CYLINDRICAL CORES
title_fullStr ON THE INFLUENCE OF THE LEVEL OF AN EXTERNAL MAGNETIC FIELD AND THE LENGTH ON THE MAGNETIC MOMENT OF CYLINDRICAL CORES
title_full_unstemmed ON THE INFLUENCE OF THE LEVEL OF AN EXTERNAL MAGNETIC FIELD AND THE LENGTH ON THE MAGNETIC MOMENT OF CYLINDRICAL CORES
title_sort on the influence of the level of an external magnetic field and the length on the magnetic moment of cylindrical cores
title_alt О ВЛИЯНИИ УРОВНЯ ВНЕШНЕГО МАГНИТНОГО ПОЛЯ И ДЛИНЫ НА МАГНИТНЫЙ МОМЕНТ ЦИЛИНДРИЧЕСКИХ СЕРДЕЧНИКОВ
description Purpose. Analysis of inhomogeneous magnetization of long cylindrical permalloy 50N cores by a uniform constant magnetic field and the influence of length and field level on their magnetic moment. Methodology. The magnetostatic field of a non-uniformly magnetized in a uniform magnetic field long cylindrical core of an electromagnet of a spacecraft control system is considered. To calculate this field, a transformation of the integral equation with respect to the density of fictitious magnetic charges, as well as an iterative algorithm for its numerical solution, are proposed. Results. The convergence of the algorithm and the fact that the magnetic moment of the core depends heavily on its length and the level of the external magnetic field is shown. We have made an analysis of the influence of the length of a permalloy 50N core in the entire range of the magnetization curve and the level of a uniform external magnetic field on the axial projection of the magnetic moment of the core. Originality. The use of an almost equal distribution of the axial projection of the resulting magnetic field in the cross sections of the greater part of the cylindrical core and its division into cylindrical elements can significantly reduce the order of the system of algebraic equations approximating the integral equation for the surface density of fictitious magnetic charges for its numerical solution. Practical value. Recommendations regarding the level of the external field created by the electromagnet coil, the increase of the magnetic moment in cases of long cores and the choice of the number of cylindrical elements depending on the length of the core are given. 
publisher National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine”
publishDate 2018
url http://eie.khpi.edu.ua/article/view/2074-272X.2018.6.07
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