[1]于先文,薛红琳.竖轴与法线不平行对光纤陀螺/全站仪定向的影响及解决方法[J].东南大学学报(自然科学版),2014,44(2):272-276.[doi:10.3969/j.issn.1001-0505.2014.02.009]
 Yu Xianwen,Xue Honglin.Influence of non-parallel between vertical axis and normal on FOG/TS orientation and its solution method[J].Journal of Southeast University (Natural Science Edition),2014,44(2):272-276.[doi:10.3969/j.issn.1001-0505.2014.02.009]
点击复制

竖轴与法线不平行对光纤陀螺/全站仪定向的影响及解决方法()
分享到:

《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
44
期数:
2014年第2期
页码:
272-276
栏目:
测绘与导航
出版日期:
2014-03-20

文章信息/Info

Title:
Influence of non-parallel between vertical axis and normal on FOG/TS orientation and its solution method
作者:
于先文1薛红琳2
1东南大学交通学院, 南京210096; 2江苏省土地资源调查中心, 南京210024
Author(s):
Yu Xianwen1 Xue Honglin2
1School of Transportation, Southeast University, Nanjing 210096, China
2Jiangsu Land Resources Surveying Center, Nanjing 210024, China
关键词:
光纤陀螺/全站仪 定向误差 全站仪竖轴 参考椭球面法线 虚拟点
Keywords:
FOG(fiber optic gyro)/TS(total station) orientation error vertical axis of total station normal of reference ellipsoid virtual point
分类号:
P24
DOI:
10.3969/j.issn.1001-0505.2014.02.009
摘要:
为了完善光纤陀螺/全站仪组合的定向算法,分析了全站仪竖轴和参考椭球面法线不平行对光纤陀螺/全站仪组合的定向解算影响.结果表明:当测站处于纬度0°~70°区域内时,由这种不平行带来的定向误差随纬度增加近似呈线性增加,最大可达40″;在中国范围内,最大定向误差约为27″.为了消除该误差,虚拟出一个地面点,使过该点的椭球面法线与全站仪竖轴平行,以虚拟点坐标代替定向算法中的测站坐标.然后,推导出基于全站仪整平误差测量值、垂线偏差及测站坐标求取虚拟点坐标的公式.考虑到全站仪整平误差及垂线偏差的测量误差影响,对改进后的定向算法进行了误差分析.研究结果表明:由竖轴和法线不平行导致的定向误差大幅度减小,在中国范围内,最大定向误差约为5.2″;即使虚拟点的垂线偏差简单取零,最大定向误差也仅为7.2″.
Abstract:
In order to perfect the orientation algorithm of the combination of the fiber optic gyro(FOG)and the total station(TS), the influence of the non-parallel between the vertical axis of the TS and the normal of the reference ellipsoid passing the station point on the orientation solution is analyzed. The results show that when the station point locates in the latitude from 0° to 70°, the orientation error caused by the non-parallel increases nearly linearly with the increase of the latitude, and the maximum is about 40″. Especially, the maximum of the orientation error is about 27″ in the region of China. In order to eliminate the error, a virtual point on the ground is presented, through which the normal of the ellipsoid is parallel to the vertical axis of the TS, and the coordinates of the station in the orientation algorithm are replaced with those of the virtual point. Then, the formula for the coordinates of the virtual point is educed with the measured values of the leveling error of the TS, the deflection of the vertical and the coordinates of the station. In view of the influence of the leveling error of the TS and the deflection of the vertical on the measuring error, the error of the improved algorithm is analyzed. The results show that the orientation error resulting from the non-parallel between the vertical axis and the normal decreases largely, and the maximum of the orientation error is about 5.2″ in the region of China. Even if the vertical deflection is zero when calculating the virtual point, the maximum of the orientation error is only 7.2″.

参考文献/References:

[1] 蒋庆仙,陈晓璧,马小辉.陀螺经纬仪的仪器常数及其测定[J].测绘科学,2008,33(2):152-154.
  Jiang Qingxian, Chen Xiaobi, Ma Xiaohui. The instrument constant of gyrotheodolite and its determination[J].Science of Surveying and Mapping, 2008,33(2):152-154.(in Chinese)
[2] Sanders S J, Strandjord L K, Mead D. Fiber optic gyro technology trends—a Honeywell perspective[C]//Proceedings of 2002 Optical Fiber Sensors Conference Technical Digest. Portland, Oregon, USA, 2002: 5-8.
[3] George A P. Fiber optic gyros past, present, and future[C]//Proceedings of SPIE—The International Society for Optical Engineering. Beijing,China,2012,8421(2):1-10.
[4] 于先文,王庆,郑子扬.具有安装误差抵偿功能的光纤陀螺/全站仪组合定向方法[J].东南大学学报:自然科学版,2008,38(4):621-625.
  Yu Xianwen,Wang Qing, Zheng Ziyang. Orientation method of FOG/TS with installation error compensation[J]. Journal of Southeast University:Natural Science Edition, 2008, 38(4):621-625.(in Chinese)
[5] 于先文,薛红琳.基于光纤陀螺的即插即用式全站仪定向方法[J].仪器仪表学报,2011,32(6):1409-1413.
  Yu Xianwen, Xue Honglin. Plug-and-play orientation method of TS based on FOG[J]. Chinese Journal of Scientific Instrument, 2011,32(6):1409-1413.(in Chinese)
[6] 邬熙娟,王维,高俊强.子午线收敛角和垂线偏差对陀螺方位角的影响[J].南京工业大学学报,2007,29(3):94-99.
  Wu Xijuan,Wang Wei,Gao Junqiang.Influence of meridian constringent angle and deflection of the vertical on result of gyro azimuth measurement[J].Journal of Nanjing University of Technology,2007,29(3):94-99.(in Chinese)
[7] 宁津生,郭春喜,王斌,等.我国陆地垂线偏差精化计算[J].武汉大学学报:信息科学版,2006,31(l2):1035-1038.
  Ning Jinsheng, Guo Chunxi, Wang Bin, et al. Refined determination of vertical deflection in China mainland area[J]. Geomatics and Information Science of Wuhan University, 2006, 31(12):1035-1038.(in Chinese)
[8] Wang Hubiao, Wang Yong, Lu Yang. High precision vertical deflection over China marginal sea and global sea derived from multi-satellite altimeter[J]. Geospatial Information Science, 2008, 11(4): 289-293.
[9] 孙凤华,吴晓平,张传定.中国陆海任意点垂线偏差的快速确定及精度分析[J].武汉大学学报:信息科学版,2005,30(1):42-48.
  Sun Fenghua, Wu Xiaoping, Zhang Chuanding. Fast determination of the vertical deflection and its precision analysis of any point on the land and sea in China[J]. Geomatics and Information Science of Wuhan University, 2005,30(1):42-48.(in Chinese)
[10] Konkov E V. Direct measurement method for plumb line deviations [J]. Measurement Techniques, 2010,53(3):350-353.

备注/Memo

备注/Memo:
收稿日期: 2013-07-01.
作者简介: 于先文(1974—),男,博士,讲师,yuxianwen@gmail.com.
引用本文: 于先文,薛红琳.竖轴与法线不平行对光纤陀螺/全站仪定向的影响及解决方法[J].东南大学学报:自然科学版,2014,44(2):272-276. [doi:10.3969/j.issn.1001-0505.2014.02.009]
更新日期/Last Update: 2014-03-20