title: ÐÐ°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº ÐºÐ²Ð°Ð·Ð¸Ð±ÐµÑÑÐ¸Ð»Ð¾Ð²Ð¾Ð³Ð¾ Ð¼Ð°Ð³Ð½Ð¸ÑÐ°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Parametric optimization of geometric characteristics of the end part of a quasi-force-free magnetic system
Creators: name: ÐÑÐµÐ¼Ð¸Ð½Ð°, ÐÑÐµÐ½Ð¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: ÐºÐ²Ð°Ð·Ð¸Ð±ÐµÑÑÐ¸Ð»Ð¾Ð²Ð°Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð°Ñ ÑÐ¸ÑÑÐµÐ¼Ð°
Ð·Ð°Ð´Ð°ÑÐ° Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸
Java
Comsol Multiphysics
I-GWO
quasi-force-free magnetic system
optimization problem

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÑÐµÑ ÑÐ¾Ð±Ð¾Ð¹ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸, ÐºÐ¾ÑÐ¾ÑÑÐ¹ Ð±ÑÐ´ÐµÑ Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð¿ÑÐ¾ÑÐµÑÑ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ ÑÐ¾ÑÑÐµÐ²Ð¾Ð¹ ÑÐ°ÑÑÐ¸ ÐºÐ²Ð°Ð·Ð¸Ð±ÐµÑÑÐ¸Ð»Ð¾Ð²Ð¾Ð¹ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ. Ð ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÑÑÑÑ Ð¾Ð±ÑÐ¸Ðµ Ð¿Ð¾Ð½ÑÑÐ¸Ñ Ð´Ð»Ñ ÑÐ°ÐºÐ¸Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ ÑÐ¸ÑÑÐµÐ¼, ÑÑÐ¾ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð»ÑÑÑÐµ Ð¿Ð¾Ð½ÑÑÑ ÐºÐ¾Ð½ÑÐµÐºÑÑ Ð·Ð°Ð´Ð°ÑÐ¸. Ð¢Ð°ÐºÐ¶Ðµ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð° ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸Ñ ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ I-GWO. Ð­ÑÐ¾Ñ Ð¼ÐµÑÐ¾Ð´ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÑÑÑ Ð´Ð»Ñ Ð½Ð°ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¿ÑÐ¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ð¸ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¾ÑÐ¼Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ. ÐÐ¾ÑÐ»Ðµ ÑÑÐ¾Ð³Ð¾ ÑÐ°Ð·ÑÐ°Ð±Ð°ÑÑÐ²Ð°ÐµÑÑÑ ÐºÐ¾Ð½ÐºÑÐµÑÐ½Ð°Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸, ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÑÑÐµÐ³Ð¾ Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð½Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐµ. Ð­ÑÐ¾ Ð²ÐºÐ»ÑÑÐ°ÐµÑ Ð² ÑÐµÐ±Ñ Ð½Ð°Ð¿Ð¸ÑÐ°Ð½Ð¸Ðµ ÐºÐ¾Ð´Ð° Ð½Ð° ÑÐ·ÑÐºÐµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Java Ð¸ ÐµÐ³Ð¾ Ð¸Ð½ÑÐµÐ³ÑÐ°ÑÐ¸Ñ Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÐ¼ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸ÐµÐ¼ COMSOL Multiphysics. ÐÐ°ÑÐµÐ¼ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸ÑÑÑ Ð¿ÑÐ¾Ð²ÐµÑÐºÐ° ÑÐ°Ð±Ð¾ÑÐ¾ÑÐ¿Ð¾ÑÐ¾Ð±Ð½Ð¾ÑÑÐ¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð¾Ð³Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð½Ð° ÑÐµÑÑÐ¾Ð²Ð¾Ð¼ Ð¿ÑÐ¸Ð¼ÐµÑÐµ, Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð½Ð¾Ð¼ Ðº Ð¿ÑÐµÐ´Ð¼ÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ. Ð­ÑÐ¾ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð¾ÑÐµÐ½Ð¸ÑÑ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ Ð¸ ÑÐ¾ÑÐ½Ð¾ÑÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð¿ÐµÑÐµÐ´ ÐµÐ³Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð½Ð° ÑÐµÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ. ÐÐ°ÐºÐ¾Ð½ÐµÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸ÑÑÑ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½ÑÑ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¾ÑÐ¼Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ, ÑÑÐ¾ Ð¿Ð¾Ð¼Ð¾Ð³Ð°ÐµÑ Ð¾Ð¿ÑÐµÐ´ÐµÐ»Ð¸ÑÑ Ð»ÑÑÑÐ¸Ðµ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¸ Ð²ÑÐ±ÑÐ°ÑÑ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐ¹ Ð²Ð°ÑÐ¸Ð°Ð½Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸Ð·Ð°ÑÐ¸Ð¸. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð±ÑÐ´ÐµÑ Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÑÑÑÑ Ð¿ÑÐ¸ ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ð¸ ÐºÐ²Ð°Ð·Ð¸Ð±ÐµÑÑÐ¸Ð»Ð¾Ð²Ð¾Ð¹ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ, ÐºÐ¾ÑÐ¾ÑÐ°Ñ Ð±ÑÐ´ÐµÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÑÑÑ Ð´Ð»Ñ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¸Ð¸ Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¸Ð»ÑÐ½ÑÑ Ð¸ ÑÐ²ÐµÑÑÑÐ¸Ð»ÑÐ½ÑÑ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð¿Ð¾Ð»ÐµÐ¹ Ð² ÑÐ°Ð¼ÐºÐ°Ñ ÐºÐ¾Ð½ÐºÑÐµÑÐ½ÑÑ Ð¿ÑÐ¸Ð»Ð¾Ð¶ÐµÐ½Ð¸Ð¹.
description: This work represents the implementation and investigation of an optimization algorithm that will automate the process of constructing the end part of a quasi-Bessel magnetic system. The paper discusses general concepts for such magnetic systems, allowing for a better understanding of the task context. Additionally, the technology for creating the I-GWO optimization algorithm is examined. This method is used to find optimal parameter values when constructing the geometric shape of the magnetic system. Subsequently, a specific software implementation of the optimization algorithm is developed to meet the stated task. This includes writing code in the Java programming language and integrating it with the COMSOL Multiphysics software. Then, the functionality of the developed algorithm is tested on a test example approximating the subject area of the research. This allows for an assessment of the efficiency and accuracy of the algorithm before its application to real data. Finally, an analysis of the developed variants of describing the geometric shape of the magnetic system is conducted, aiding in determining the best parameter values and selecting the optimal parameterization option. The developed optimization algorithm will be applied in creating a quasi-Bessel magnetic system, which will be used for generating and researching strong and super-strong magnetic fields within specific applications.