附有高程约束的三维平差方法研究

王小龙; 康玲; 董岚; 李波; 门玲鸰; 罗涛; 王铜; 梁静; 何振强; 柯志勇; 马娜; 卢尚; 韩圆颖; 闫路平; 张露彦; 刘晓阳; 闫皓月; 李春华; 吴蕾

doi:10.11884/HPLPB202234.210561

附有高程约束的三维平差方法研究

doi: 10.11884/HPLPB202234.210561

王小龙^{1, 2, 3,},
康玲^{1, 2, 3},
董岚^{1, 2},
李波^{1, 2},
门玲鸰^{1, 2},
罗涛^{1, 2},
王铜^{1, 2},
梁静^{1, 2},
何振强^{1, 2},
柯志勇^{1, 2},
马娜^{1, 2},
卢尚¹,
韩圆颖¹,
闫路平¹,
张露彦¹,
刘晓阳¹,
闫皓月¹,
李春华¹,
吴蕾¹

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

基金项目: 国家自然科学基金青年科学基金项目（12075264）

详细信息

作者简介:
王小龙，wxl@ihep.ac.cn

中图分类号: TL505
计量
- 文章访问数: 706
- HTML全文浏览量: 239
- PDF下载量: 113
- 被引次数: 0
出版历程
- 收稿日期: 2021-12-14
- 修回日期: 2022-04-19
- 网络出版日期: 2022-05-20
- 刊出日期: 2022-07-20

Research on three-dimensional adjustment with elevation constraints

Wang Xiaolong^{1, 2, 3
,},
Kang Ling^{1, 2, 3},
Dong Lan^{1, 2},
Li Bo^{1, 2},
Men Lingling^{1, 2},
Luo Tao^{1, 2},
Wang Tong^{1, 2},
Liang Jing^{1, 2},
He Zhenqiang^{1, 2},
Ke Zhiyong^{1, 2},
Ma Na^{1, 2},
Lu Shang¹,
Han Yuanying¹,
Yan Luping¹,
Zhang Luyan¹,
Liu Xiaoyang¹,
Yan Haoyue¹,
Li Chunhua¹,
Wu Lei¹

1.
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
2.
Spallation Neutron Source Science Center, Dongguan 523803, China
3.
University of Chinese Academy of Sciences, Beijing 100049, China

摘要

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。
- 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
Abstract: 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.
- accelerator alignment /
- laser tracker /
- three-dimensional measurement /
- three-dimensional adjustment /
- error accumulation /
- elevation constraints /
- geoid

HTML全文

图 1 跟踪仪测量隧道控制网

Figure 1. Laser tracker measures the tunnel control network

下载: 全尺寸图片幻灯片

图 2 跟踪仪坐标测量原理

Figure 2. Laser tracker coordinate measuring principle

下载: 全尺寸图片幻灯片

图 3 直线隧道控制网

Figure 3. Linac tunnel control network

下载: 全尺寸图片幻灯片

图 4 无高程约束的三维平差结果

Figure 4. Result of 3D adjustment without height constraints

下载: 全尺寸图片幻灯片

图 5 测站坐标系与垂线坐标系

Figure 5. Measuring station coordinate system and vertical coordinate system

下载: 全尺寸图片幻灯片

图 6 高程定向法三维平差结果

Figure 6. Vertical orientation 3D adjustment result

下载: 全尺寸图片幻灯片

图 7 空间直角坐标系和大地水准面

Figure 7. Cartesian coordinate system and the geoid

下载: 全尺寸图片幻灯片

图 8 高程值改正

Figure 8. Elevation correction

下载: 全尺寸图片幻灯片

图 9 水准高程转换法三维平差结果

Figure 9. 3D adjustment result of Level elevation transformation method

下载: 全尺寸图片幻灯片

图 10 Starnet平差结果与2D+1D平差结果之差

Figure 10. Difference of Starnet adjustment result and 2D+1D adjustment result

下载: 全尺寸图片幻灯片

图 11 附有高程约束的三维平差结果与2D+1D平差结果之差

Figure 11. Difference of 3D adjustment with elevation constraints result and 2D+1D adjustment result

下载: 全尺寸图片幻灯片

参考文献(23)

[1]	Penicka J M, Collins J, Doose C, et al. Alignment strategy for APS upgrade[C]//14th International Workshop on Accelerator Alignment. 2016.
[2]	Vikas, Sahu R K. A review on application of laser tracker in precision positioning metrology of particle accelerators[J]. Precision Engineering, 2021, 71: 232-249. doi: 10.1016/j.precisioneng.2021.03.015
[3]	Leão R J, Baldo C R, da Costa Reis M L C, et al. Engineering survey planning for the alignment of a particle accelerator: part II. Design of a reference network and measurement strategy[J]. Measurement Science and Technology, 2018, 29: 034007. doi: 10.1088/1361-6501/aa9dc3
[4]	Martin D. Review of accelerator alignment[C]//Facing the Challenges – Building the Capacity. 2010.
[5]	袁建东, 马力祯, 何源, 等. 超导直线加速器准直方案设计[J]. 北京测绘, 2019, 33(3):285-290. (Yuan Jiandong, Ma Lizhen, He Yuan, et al. Design of alignment scheme for superconducting linear accelerator[J]. Beijing Surveying and Mapping, 2019, 33(3): 285-290 Yuan Jiandong, Ma Lizhen, He Yuan, et al. Design of alignment scheme for superconducting linear accelerator[J]. Beijing Surveying and Mapping, 2019, 33(3): 285-290
[6]	柯志勇, 何振强, 董岚, 等. BEPCII储存环准直测量点位误差分析[J]. 核技术, 2015, 38(1):3-8. (Ke Zhiyong, He Zhenqiang, Dong Lan, et al. Analysis on alignment position error of BEPCⅡ storage ring[J]. Nuclear Techniques, 2015, 38(1): 3-8 Ke Zhiyong, He Zhenqiang, Dong Lan, et al. Analysis on alignment position error of BEPCⅡ storage ring[J]. Nuclear Techniques, 2015, 38(1): 3-8
[7]	王铜, 董岚, 梁静, 等. 中国散裂中子源准直控制网数据处理方法[J]. 强激光与粒子束, 2021, 33:104002. (Wang Tong, Dong Lan, Liang Jing, et al. Adjustment method of control network for alignment in CSNS[J]. High Power Laser and Particle Beams, 2021, 33: 104002 doi: 10.11884/HPLPB202133.210096 Wang Tong, Dong Lan, Liang Jing, et al. Adjustment method of control network for alignment in CSNS[J]. High Power Laser and Particle Beams, 2021, 33: 104002 doi: 10.11884/HPLPB202133.210096
[8]	薄志鹏. 三维大地测量概论[J]. 武测资料, 1981(s1):31-44. (Bo Zhipeng. Introduction to three-dimensional geodesy[J]. Journal of Geomatics, 1981(s1): 31-44 Bo Zhipeng. Introduction to three-dimensional geodesy[J]. Journal of Geomatics, 1981(s1): 31-44
[9]	郭迎钢, 李宗春, 赵文斌, 等. 激光跟踪仪三维导线在加速器控制网测量中的应用[C]//第六届全国粒子加速器准直安装及机械设计学术研讨会. 2019 Guo Yinggang, Li Zongchun, Zhao Wenbin, et al. Application of laser tracker three-dimensional traverse in measurement of accelerator control network[C]//The 6th National Symposium on Alignment Installation and Mechanical Design of Particle Accelerators. 2019
[10]	Yu C, Karl F, Ilardo M, et al. The storage ring control network of NSLS-II[C]//13th International Workshop on Accelerator Alignment. 2014.
[11]	Miertsch T. New approaches in the use of laser trackers for measurements of geodetic networks[C]//14th International Workshop on Accelerator Alignment. 2016.
[12]	张振虎. 激光跟踪仪结合全站仪的三维控制网测量及其精度分析[J]. 北京测绘, 2019, 33(6):708-712. (Zhang Zhenhu. Survey and accuracy analysis for three-dimensional control network using laser tracker and total station[J]. Beijing Surveying and Mapping, 2019, 33(6): 708-712 Zhang Zhenhu. Survey and accuracy analysis for three-dimensional control network using laser tracker and total station[J]. Beijing Surveying and Mapping, 2019, 33(6): 708-712
[13]	马下平. 附加系统参数平差在三维控制网平差中的应用[J]. 工程勘察, 2013, 41(7):58-62. (Ma Xiaping. The application in three-dimensional control network adjustment with additional system parameters adjustment[J]. Geotechnical Investigation & Surveying, 2013, 41(7): 58-62 Ma Xiaping. The application in three-dimensional control network adjustment with additional system parameters adjustment[J]. Geotechnical Investigation & Surveying, 2013, 41(7): 58-62
[14]	Zhang Fumin, Zhang Huadi, Qu Xinghua. A multilateral laser-tracking three-dimensional coordinate measuring system based on plane constraint[J]. Measurement Science and Technology, 2020, 31(1): 015205. doi: 10.1088/1361-6501/ab4062
[15]	蔡国柱, 满开第, 张小奇, 等. 兰州重离子医疗装置同步环安装控制网设计[J]. 强激光与粒子束, 2014, 26:015104. (Cai Guozhu, Man Kaidi, Zhang Xiaoqi, et al. Survey network design of synchrotron in heavy ion medical machine in Lanzhou[J]. High Power Laser and Particle Beams, 2014, 26: 015104 doi: 10.3788/HPLPB20142601.15104 Cai Guozhu, Man Kaidi, Zhang Xiaoqi, et al. Survey network design of synchrotron in heavy ion medical machine in Lanzhou[J]. High Power Laser and Particle Beams, 2014, 26: 015104 doi: 10.3788/HPLPB20142601.15104
[16]	王巍. 合肥光源升级改造测量准直及测量精度的研究[D]. 合肥: 中国科学技术大学, 2016 Wang Wei. Survey and alignment of the HLS II upgrade project and study of the measurement precision[D]. Hefei: University of Science and Technology of China, 2016
[17]	武汉大学测绘学院测量平差学科组. 误差理论与测量平差基础[M]. 2版. 武汉: 武汉大学出版社, 2009 Surveying and Adjustment Team in School of Geodesy and Geomatics of Wuhan University. Error theory and fundation of surveying adjustment[M]. 2nd ed. Wuhan: Wuhan University Press, 2009
[18]	黄维彬. 近代平差理论及其应用[M]. 北京: 解放军出版社, 1992 Huang Weibin. Modern adjustment theory and its application[M]. Beijing: Publishing House of PLA, 1992
[19]	杨凡. 高能粒子加速器工程精密测量研究[D]. 郑州: 解放军信息工程大学, 2011 Yang Fan. Research on precise survey of high energy particle accelerator project[D]. Zhengzhou: PLA Information Engineering University, 2011
[20]	杨振. 激光跟踪仪高精度位姿测量技术研究[D]. 郑州: 战略支援部队信息工程大学, 2018 Yang Zhen. Study of high-precision positon & pose measurement technique based on laser tracker[D]. Zhengzhou: PLA Strategic Support Force Information Engineering University, 2018
[21]	梁静, 董岚, 罗涛, 等. BEPCII储存环激光跟踪仪测量精度统计及先验误差的确定[J]. 测绘科学, 2013, 38(6):182-184. (Liang Jing, Dong Lan, Luo Tao, et al. Precision statistics of laser tracker in BEPCII storage ring and calculation of mean square error of unit weight[J]. Science of Surveying and Mapping, 2013, 38(6): 182-184 Liang Jing, Dong Lan, Luo Tao, et al. Precision statistics of laser tracker in BEPCII storage ring and calculation of mean square error of unit weight[J]. Science of Surveying and Mapping, 2013, 38(6): 182-184
[22]	Geraissate H, Rovigatti G, Leão R, et al. Establishing a metrological reference network for the alignment of Sirius[C]//12th International Particle Accelerator Conference. Campinas, SP, Brazil, 2021.
[23]	周得洋, 何晓业, 高飞. 加速器准直中激光跟踪仪和水准仪的测量结果比较[J]. 城市勘测, 2013(1):152-155. (Zhou Deyang, He Xiaoye, Gao Fei. The comparing of measurement results between laser tracker and level in accelerator collimating[J]. Urban Geotechnical Investigation & Surveying, 2013(1): 152-155 doi: 10.3969/j.issn.1672-8262.2013.01.040 Zhou Deyang, He Xiaoye, Gao Fei. The comparing of measurement results between laser tracker and level in accelerator collimating[J]. Urban Geotechnical Investigation & Surveying, 2013(1): 152-155 doi: 10.3969/j.issn.1672-8262.2013.01.040