附有高程约束的三维平差方法研究  

Research on three-dimensional adjustment with elevation constraints

作　　者：王小龙[1,2,3] 康玲 董岚[1,2] 李波 门玲鸰[1,2] 罗涛 王铜[1,2] 梁静 何振强[1,2] 柯志勇 马娜[1,2] 卢尚 韩圆颖[1] 闫路平 张露彦[1] 刘晓阳 闫皓月[1] 李春华 吴蕾[1] Wang Xiaolong;Kang Ling;Dong Lan;Li Bo;Men Lingling;Luo Tao;Wang Tong;Liang Jing;He Zhenqiang;Ke Zhiyong;Ma Na;Lu Shang;Han Yuanying;Yan Luping;Zhang Luyan;Liu Xiaoyang;Yan Haoyue;Li Chunhua;Wu Lei(Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China;Spallation Neutron Source Science Center,Dongguan 523803,China;University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国科学院高能物理研究所,北京100049 [2]散裂中子源科学中心,广东东莞523803 [3]中国科学院大学,北京100049

出　　处：《强激光与粒子束》2022年第8期84-92,共9页High Power Laser and Particle Beams

基　　金：国家自然科学基金青年科学基金项目(12075264)。

摘　　要：当前加速器准直主要采用激光跟踪仪进行三维空间位置测量,三维测量数据用三维平差方法计算从理论上讲更为严密,但在实践中却发现存在误差累积现象,其中在高程方向的误差累积十分明显。为了控制三维平差高程方向的误差累积,研究将大地水准面做为基准引入测量和数据处理过程之中,获得基于大地水准面的高程测量数据,用高程数据构建约束条件方程,进行附有高程约束的三维平差。以激光跟踪仪为例给出了三维平差函数模型,研究了约束方程的构建方法,推导了附有高程约束的三维平差计算公式。研究了附有高程约束的三维平差函数模型的两种应用方法,通过模拟计算展示了这两种方法对高程方向误差累积的控制效果。最后对一组实测数据采用多种平差方法进行计算对比,结果显示附有高程约束的三维平差相比无高程约束的三维平差能够更有效的控制平差中高程方向的误差累积。Laser tracker is the primary instrument used for carrying out three-dimensional position measurement in accelerator alignment.Theoretically,three-dimensional measuring data processed by three-dimensional adjustment is more rigorous,however,error accumulation is found in practice,especially in elevation direction,the error accumulation is very obvious.To control the elevation error accumulation of three-dimensional adjustment,a method using the geoid as a datum in the measurement and data processing is researched.The principle is to get the elevation measuring data based on the geoid and use the elevation data to construct the constraints equation then carry out the three-dimensional adjustment with elevation constraints.Take the laser tracker as an example,a three-dimensional adjustment function model is given,the construction method of the constraints equation is researched and the calculation formulas of the three-dimensional adjustment is derived.Two application methods of the three-dimensional adjustment function model with elevation constraints are studied and the effects in controlling the elevation error accumulation are showed by simulations.Finally,a group of measuring data are calculated and compared with various adjustment methods,the results show that the three-dimensional adjustment with elevation constraints can control the elevation error accumulation more effectively than the one without elevation constraints.

关 键 词：加速器准直 激光跟踪仪 三维测量 三维平差 误差累积 高程约束 大地水准面 

分 类 号：TL505[核科学技术—核技术及应用]