计算超导螺线管磁体中电磁应力的解析方法  

Analytical methods to calculate electromagnetic stress of superconducting solenoid magnets

作　　者：Jeonghwan Park Kibum Choi Yufan Yan Jaemin Kim Seungyong Hahn 

机构地区：[1]Department of Electrical and Computer Engineering,Seoul National University,Seoul,08826,Republic of Korea [2]Applied Superconductivity Center and Electric Power Institute,Seoul National University,Seoul,08826,Republic of Korea

出　　处：《Acta Mechanica Sinica》2024年第4期4-20,共17页力学学报（英文版）

基　　金：the National R&D Program through the National Research Foundation of Korea(NRF)Funded by Ministry of Science and ICT(Grant No.2022M3I9A1072846);the Applied Superconductivity Center,Electric Power Research Institute of Seoul National University.

摘　　要：在高场磁体中,压缩磁径向应力比拉伸应力更受青睐,原因是它能降低磁体绕组内的整体峰值磁应力.这对于无绝缘高温超导(NI HTS)磁体尤为重要,因为压缩径向应力能够产生良好的匝间接触,这对于无绝缘高温超导线圈中的电流共享以及随之而来的自保护行为至关重要.根据关键磁体设计参数(如目标中心场、背景磁场、内外绕组直径和外部径向堆叠),我们给出了可以从解析上确定高场超导磁体具有压缩径向应力的电磁-力学条件.本文提出的方法可以识别干绕线圈中径向匝间接触行为的3种不同模式:(1)完全分离;(2)完全接触;以及(3)混合模式(即部分分离和接触).文章随后提出一种使用完全压缩径向应力电磁-力学条件来计算干绕线圈中应力分布的解析方法.并通过有限元分析示例验证了解析方法与数值方法的良好一致性.文章结果可以帮助磁体工程师在早期设计阶段更好地概览高场超导磁体的电磁-力学行为.Compressive magnetic radial stress is favored,over tensile one,for a high field magnet,mainly because it lowers the overall peak magnetic stress within the windings of the magnet.It is of particular importance for a no-insulation(NI)high temperature superconducting(HTS)magnet,because the compressive radial stress leads to good turn-to-turn contact that is essential for current sharing in the NI HTS coils and consequent self-protecting behaviors.Depending on key magnet design parameters such as target center field,background magnetic field,inner and outer winding diameter,and overband radial build,we have shown that electromechanical conditions for a high field superconducting magnet to have compressive radial stress may be analytically pinpointed.With our suggested method,we can identify 3 different patterns of radial turn-to-turn contact behavior in the dry wound coils:(1)fully separated;(2)fully contacted;and(3)mixed(i.e.,partially separated and contacted).After that,we suggest an analytical method to calculate stress distributions in dry wound coils by using the electromechanical condition for fully compressive radial stress.Finally,by performing the finite element analysis with examples,we verified that our analytical method shows a good agreement with the numerical one.The results may provide insight for magnet engineers to better overview the electromechanical behaviors of their high field HTS magnets at the early design stage.

关 键 词：高温超导 背景磁场 径向应力 力学条件 拉伸应力 匝间 接触行为 混合模式 

分 类 号：O3[理学—力学]