粒子加速器束流轨道的移动最小二乘法平滑分析  

Smoothing analysis of the particle accelerator beam orbit by moving least squares

作　　者：刘忠贺 李宗春 郭迎钢 何华 赵文斌 LIU Zhonghe;LI Zongchun;GUO Yinggang;HE Hua;ZHAO Wenbin(The Chinese People's Liberation Army Strategic Support Force Information Engineering University,Zhengzhou 450001,China;Shanghai Institute of Applied Physics,Chinese Academy of Sciences,Shanghai 201800,China)

机构地区：[1]中国人民解放军战略支援部队信息工程大学,郑州450001 [2]中国科学院上海应用物理研究所,上海201800

出　　处：《核技术》2019年第10期6-12,共7页Nuclear Techniques

摘　　要：粒子加速器停机时间短,磁铁间相对精度要求高,为提高束流轨道平滑分析效率,提出了一种基于移动最小二乘的平滑分析方法。首先,对原始平滑数据作预处理,使环形磁铁数据呈直线形分布;其次,对平滑区域进行网格化处理,提取网格点并选定合适的基函数与权函数;然后,给出平滑分析的三项指标并设计了整个平滑分析流程;最后,通过仿真数据对比分析了平均值法、最小二乘拟合与迭代法及本文方法的平滑结果。结果表明:在相同指标条件下,本文得到的拟合曲线最光滑,且磁铁调整数量最少,在一定程度上,节省了调整时间,提高了效率。[Background]The particle accelerator has a short downtime and requires high relative accuracy between magnets.[Purpose]This study aims to improve the smoothing analysis efficiency of beam orbit by using moving least squares method.[Methods]Firstly,the original smoothed data was preprocessed to make the ring magnet data linearly distributed.Secondly,the fitting area was meshed,the grid points were extracted and the appropriate basis function and weight function were selected.Then,three indicators of the smooth analysis were given and the whole calculation process was designed.Finally,the smoothing effects of the averaging method,the least squares fitting and iteration method and the method of this paper were compared and analyzed by simulation data.[Results]The experimental results show that the fitting curve obtained by the method of this paper is the smoothest and the magnet adjustment times are the least under the same conditions.[Conclusions]To a certain extent,the adjustment time is saved and the adjustment efficiency is improved.

关 键 词：移动最小二乘 束流轨道 平滑分析 紧支域 

分 类 号：TL505[核科学技术—核技术及应用]