PECULIARITIES OF CALCULATION OF MAGNETIC SYSTEMS WITH SHORT-CIRCUITED SECONDARY WINDINGS IN IN-PLANE FORMULATION
Introduction. A feature of quasi-static calculation of plane electromagnetic fields is unlimited volume occupied by the current. This condition imposes certain requirements on the choice of boundary conditions for solving such problems (the vanishing of the algebraic sum of the currents flowing thro...
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Дата: | 2015 |
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Мова: | Russian |
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National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine”
2015
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eiekhpieduua-article-523392016-11-22T17:11:20Z PECULIARITIES OF CALCULATION OF MAGNETIC SYSTEMS WITH SHORT-CIRCUITED SECONDARY WINDINGS IN IN-PLANE FORMULATION ОСОБЕННОСТИ РАСЧЕТА МАГНИТНЫХ СИСТЕМ С КОРОТКОЗАМКНУТЫМИ ВТОРИЧНЫМИ ОБМОТКАМИ В ПЛОСКОПАРАЛЛЕЛЬНОЙ ПОСТАНОВКЕ ОСОБЕННОСТИ РАСЧЕТА МАГНИТНЫХ СИСТЕМ С КОРОТКОЗАМКНУТЫМИ ВТОРИЧНЫМИ ОБМОТКАМИ В ПЛОСКОПАРАЛЛЕЛЬНОЙ ПОСТАНОВКЕ Baida, E. I. in-plane magnetic field boundary conditions 621.3.04 плоскопараллельное магнитное поле граничные условия 621.3.04 плоскопаралельне магнітне поле граничні умови 621.3.04 Introduction. A feature of quasi-static calculation of plane electromagnetic fields is unlimited volume occupied by the current. This condition imposes certain requirements on the choice of boundary conditions for solving such problems (the vanishing of the algebraic sum of the currents flowing through the cross section of all wires), failure of which leads to incorrect results. Purpose. The mathematical formulation of the boundary conditions corresponding to real physical processes in solving problems of plane quasi-static field by Kelvin transformation and development of a technique for calculating the induced currents in closed circuits in the calculation of AC electromagnet in the quasi-static mode. Methods. Investigation of nonlinear model of the current transformer in in-plane electromagnetic field calculation and the AC electromagnet is carried by the finite element method using a specific software package. Results. A possible error in the boundary conditions and summarizes the estimated model corresponds to the physics of the process using the Kelvin transform, proposed method of calculating currents in closed loop AC electromagnet in the calculation of plane problems of the field. Conclusions. The specificity of the problem of calculating the electromagnetic field in in-plane formulation requires a special approach to the assignment of boundary conditions and calculation of the currents induced in a closed loop. В статье анализируются проблема, связанная с вопросами корректного задания первичных источников токов и ошибок в определении параметров вторичных короткозамкнутых контуров при решении задач плоскопараллельного поля. Приводятся физический и математический анализ ошибки и предложен способ решения подобных задач на примере расчета трансформатора тока и электромагнита переменного тока. У статті аналізуються проблема, пов'язана з питаннями коректного завдання первинних джерел струмів і помилок у визначенні параметрів вторинних короткозамкнених контурів при вирішенні задач плоскопараллельного поля. Наводяться фізичний і математичний аналіз помилки та запропоновано спосіб вирішення подібних завдань на прикладі розрахунку трансформатора струму і електромагніту змінного струму. National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine” 2015-11-01 Article Article application/pdf http://eie.khpi.edu.ua/article/view/2074-272X.2015.5.02 10.20998/2074-272X.2015.5.02 Electrical Engineering & Electromechanics; No. 5 (2015); 18-22 Электротехника и Электромеханика; № 5 (2015); 18-22 Електротехніка і Електромеханіка; № 5 (2015); 18-22 2309-3404 2074-272X ru http://eie.khpi.edu.ua/article/view/2074-272X.2015.5.02/48473 Copyright (c) 2015 E. I. Baida https://creativecommons.org/licenses/by-nc/4.0 |
institution |
Electrical Engineering & Electromechanics |
collection |
OJS |
language |
Russian |
topic |
in-plane magnetic field boundary conditions 621.3.04 плоскопараллельное магнитное поле граничные условия 621.3.04 плоскопаралельне магнітне поле граничні умови 621.3.04 |
spellingShingle |
in-plane magnetic field boundary conditions 621.3.04 плоскопараллельное магнитное поле граничные условия 621.3.04 плоскопаралельне магнітне поле граничні умови 621.3.04 Baida, E. I. PECULIARITIES OF CALCULATION OF MAGNETIC SYSTEMS WITH SHORT-CIRCUITED SECONDARY WINDINGS IN IN-PLANE FORMULATION |
topic_facet |
in-plane magnetic field boundary conditions 621.3.04 плоскопараллельное магнитное поле граничные условия 621.3.04 плоскопаралельне магнітне поле граничні умови 621.3.04 |
format |
Article |
author |
Baida, E. I. |
author_facet |
Baida, E. I. |
author_sort |
Baida, E. I. |
title |
PECULIARITIES OF CALCULATION OF MAGNETIC SYSTEMS WITH SHORT-CIRCUITED SECONDARY WINDINGS IN IN-PLANE FORMULATION |
title_short |
PECULIARITIES OF CALCULATION OF MAGNETIC SYSTEMS WITH SHORT-CIRCUITED SECONDARY WINDINGS IN IN-PLANE FORMULATION |
title_full |
PECULIARITIES OF CALCULATION OF MAGNETIC SYSTEMS WITH SHORT-CIRCUITED SECONDARY WINDINGS IN IN-PLANE FORMULATION |
title_fullStr |
PECULIARITIES OF CALCULATION OF MAGNETIC SYSTEMS WITH SHORT-CIRCUITED SECONDARY WINDINGS IN IN-PLANE FORMULATION |
title_full_unstemmed |
PECULIARITIES OF CALCULATION OF MAGNETIC SYSTEMS WITH SHORT-CIRCUITED SECONDARY WINDINGS IN IN-PLANE FORMULATION |
title_sort |
peculiarities of calculation of magnetic systems with short-circuited secondary windings in in-plane formulation |
title_alt |
ОСОБЕННОСТИ РАСЧЕТА МАГНИТНЫХ СИСТЕМ С КОРОТКОЗАМКНУТЫМИ ВТОРИЧНЫМИ ОБМОТКАМИ В ПЛОСКОПАРАЛЛЕЛЬНОЙ ПОСТАНОВКЕ ОСОБЕННОСТИ РАСЧЕТА МАГНИТНЫХ СИСТЕМ С КОРОТКОЗАМКНУТЫМИ ВТОРИЧНЫМИ ОБМОТКАМИ В ПЛОСКОПАРАЛЛЕЛЬНОЙ ПОСТАНОВКЕ |
description |
Introduction. A feature of quasi-static calculation of plane electromagnetic fields is unlimited volume occupied by the current. This condition imposes certain requirements on the choice of boundary conditions for solving such problems (the vanishing of the algebraic sum of the currents flowing through the cross section of all wires), failure of which leads to incorrect results. Purpose. The mathematical formulation of the boundary conditions corresponding to real physical processes in solving problems of plane quasi-static field by Kelvin transformation and development of a technique for calculating the induced currents in closed circuits in the calculation of AC electromagnet in the quasi-static mode. Methods. Investigation of nonlinear model of the current transformer in in-plane electromagnetic field calculation and the AC electromagnet is carried by the finite element method using a specific software package. Results. A possible error in the boundary conditions and summarizes the estimated model corresponds to the physics of the process using the Kelvin transform, proposed method of calculating currents in closed loop AC electromagnet in the calculation of plane problems of the field. Conclusions. The specificity of the problem of calculating the electromagnetic field in in-plane formulation requires a special approach to the assignment of boundary conditions and calculation of the currents induced in a closed loop. |
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 |
2015 |
url |
http://eie.khpi.edu.ua/article/view/2074-272X.2015.5.02 |
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first_indexed |
2024-06-01T14:38:07Z |
last_indexed |
2024-06-01T14:38:07Z |
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