基于赛道线圈的线圈主导型超导四极磁体磁场的分析计算

IF 3.6 1区 物理与天体物理 Q1 NUCLEAR SCIENCE & TECHNOLOGY
Chuang Shen, Ying-Shun Zhu, Fu-San Chen
{"title":"基于赛道线圈的线圈主导型超导四极磁体磁场的分析计算","authors":"Chuang Shen, Ying-Shun Zhu, Fu-San Chen","doi":"10.1007/s41365-024-01437-x","DOIUrl":null,"url":null,"abstract":"<p>Currently, three types of superconducting quadrupole magnets are used in particle accelerators: <span>\\(\\cos {2\\theta }\\)</span>, CCT, and serpentine. However, all three coil configurations have complex spatial geometries, which make magnet manufacturing and strain-sensitive superconductor applications difficult. Compared with the three existing quadrupole coils, the racetrack quadrupole coil has a simple shape and manufacturing process, but there have been few theoretical studies. In this paper, the two-dimensional and three-dimensional analytical expressions for the magnetic field in coil-dominated racetrack superconducting quadrupole magnets are presented. The analytical expressions of the field harmonics and gradient are fully resolved and depend only on the geometric parameters of the coil and current density. Then, a genetic algorithm is applied to obtain a solution for the coil geometry parameters with field harmonics on the order of <span>\\(10^{-4}\\)</span>. Finally, considering the practical engineering needs of the accelerator interaction region, electromagnetic design examples of racetrack quadrupole magnets with high gradients, large apertures, and small apertures are described, and the application prospects of racetrack quadrupole coils are analyzed.</p>","PeriodicalId":19177,"journal":{"name":"Nuclear Science and Techniques","volume":"4 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analytical computation of magnetic field in coil-dominated superconducting quadrupole magnets based on racetrack coils\",\"authors\":\"Chuang Shen, Ying-Shun Zhu, Fu-San Chen\",\"doi\":\"10.1007/s41365-024-01437-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Currently, three types of superconducting quadrupole magnets are used in particle accelerators: <span>\\\\(\\\\cos {2\\\\theta }\\\\)</span>, CCT, and serpentine. However, all three coil configurations have complex spatial geometries, which make magnet manufacturing and strain-sensitive superconductor applications difficult. Compared with the three existing quadrupole coils, the racetrack quadrupole coil has a simple shape and manufacturing process, but there have been few theoretical studies. In this paper, the two-dimensional and three-dimensional analytical expressions for the magnetic field in coil-dominated racetrack superconducting quadrupole magnets are presented. The analytical expressions of the field harmonics and gradient are fully resolved and depend only on the geometric parameters of the coil and current density. Then, a genetic algorithm is applied to obtain a solution for the coil geometry parameters with field harmonics on the order of <span>\\\\(10^{-4}\\\\)</span>. Finally, considering the practical engineering needs of the accelerator interaction region, electromagnetic design examples of racetrack quadrupole magnets with high gradients, large apertures, and small apertures are described, and the application prospects of racetrack quadrupole coils are analyzed.</p>\",\"PeriodicalId\":19177,\"journal\":{\"name\":\"Nuclear Science and Techniques\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":3.6000,\"publicationDate\":\"2024-05-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Science and Techniques\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1007/s41365-024-01437-x\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"NUCLEAR SCIENCE & TECHNOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Science and Techniques","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s41365-024-01437-x","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"NUCLEAR SCIENCE & TECHNOLOGY","Score":null,"Total":0}
引用次数: 0

摘要

目前,粒子加速器中使用了三种超导四极磁体:\(\cos {2\theta }\), CCT 和蛇形。然而,这三种线圈结构都具有复杂的空间几何形状,给磁体制造和应变敏感超导体应用带来了困难。与现有的三种四极线圈相比,赛道四极线圈的形状和制造工艺简单,但理论研究较少。本文提出了线圈主导的赛道超导四极磁体中磁场的二维和三维分析表达式。磁场谐波和梯度的分析表达式是完全解析的,只取决于线圈的几何参数和电流密度。然后,应用遗传算法获得了线圈几何参数的解决方案,其场谐波的数量级为 \(10^{-4}\)。最后,考虑到加速器相互作用区的实际工程需要,介绍了高梯度、大孔径和小孔径赛道四极磁体的电磁设计实例,并分析了赛道四极线圈的应用前景。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Analytical computation of magnetic field in coil-dominated superconducting quadrupole magnets based on racetrack coils

Analytical computation of magnetic field in coil-dominated superconducting quadrupole magnets based on racetrack coils

Currently, three types of superconducting quadrupole magnets are used in particle accelerators: \(\cos {2\theta }\), CCT, and serpentine. However, all three coil configurations have complex spatial geometries, which make magnet manufacturing and strain-sensitive superconductor applications difficult. Compared with the three existing quadrupole coils, the racetrack quadrupole coil has a simple shape and manufacturing process, but there have been few theoretical studies. In this paper, the two-dimensional and three-dimensional analytical expressions for the magnetic field in coil-dominated racetrack superconducting quadrupole magnets are presented. The analytical expressions of the field harmonics and gradient are fully resolved and depend only on the geometric parameters of the coil and current density. Then, a genetic algorithm is applied to obtain a solution for the coil geometry parameters with field harmonics on the order of \(10^{-4}\). Finally, considering the practical engineering needs of the accelerator interaction region, electromagnetic design examples of racetrack quadrupole magnets with high gradients, large apertures, and small apertures are described, and the application prospects of racetrack quadrupole coils are analyzed.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Nuclear Science and Techniques
Nuclear Science and Techniques 物理-核科学技术
CiteScore
5.10
自引率
39.30%
发文量
141
审稿时长
5 months
期刊介绍: Nuclear Science and Techniques (NST) reports scientific findings, technical advances and important results in the fields of nuclear science and techniques. The aim of this periodical is to stimulate cross-fertilization of knowledge among scientists and engineers working in the fields of nuclear research. Scope covers the following subjects: • Synchrotron radiation applications, beamline technology; • Accelerator, ray technology and applications; • Nuclear chemistry, radiochemistry, radiopharmaceuticals, nuclear medicine; • Nuclear electronics and instrumentation; • Nuclear physics and interdisciplinary research; • Nuclear energy science and engineering.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信