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

作　　者：Chuang Shen Ying-Shun Zhu Fu-San Chen 

机构地区：[1]China Spallation Neutron Source,Institute of High Energy Physics,Chinese Academy of Sciences,1 Zhongziyuan Road,Dongguan 523000,China [2]Institute of High Energy Physics,Chinese Academy of Sciences,19B Yuquan Road,Beijing 100049,China [3]University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Nuclear Science and Techniques》2024年第4期119-135,共17页核技术（英文）

基　　金：supported in part by the National Key Research and Development Program of China(No.2022YFA1603402);in part by the National Natural Science Foundation of China(No.11875272)。

摘　　要：Currently,three types of superconducting quadrupole magnets are used in particle accelerators:cos 2θ,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.

关 键 词：Superconducting quadrupole magnet Racetrack coil Multipole field Genetic algorithm Magnetic design 

分 类 号：TL50[核科学技术—核技术及应用]