HL-2M装置环向场线圈中心轴倾角测量方法
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摘要
通过测量HL-2M装置环向场线圈指形接头及斜面接头上的若干个点的空间坐标,利用点到平面的距离最小二乘原则,对环向场线圈的外轮廓平面进行拟合。再利用各外轮廓平面与中心轴的空间位置关系,求解得出环向场线圈中心轴倾角。通过简化模型及数值模拟求解出在不同的空间点坐标测量标准差情况下的中心轴倾角。在空间点三维坐标低测量标准差的情况下(σ=0.05mm),拟合求得倾角的相对误差为0.10‰,相对标准偏差为1.21‰。
By measuring the spatial coordinates of several points on the figure joints and slice joints of the toroidal field coils on HL-2M device, the outer contour planes of the coils are fitted with the spatial data of the points by the least squared method and the tilt angle of central axis is calculated by the spatial relation between the planes and the central axis. With the simplified model and numerical simulation, the tilt angles of different spatial points with several standard deviations of measurement are calculated. The average relative error of tilt angle is 0.10‰ and the relative standard deviation is 1.21‰ with a low standard deviation of metrology(σ=0.05mm).
By measuring the spatial coordinates of several points on the figure joints and slice joints of the toroidal field coils on HL-2M device, the outer contour planes of the coils are fitted with the spatial data of the points by the least squared method and the tilt angle of central axis is calculated by the spatial relation between the planes and the central axis. With the simplified model and numerical simulation, the tilt angles of different spatial points with several standard deviations of measurement are calculated. The average relative error of tilt angle is 0.10‰ and the relative standard deviation is 1.21‰ with a low standard deviation of metrology(σ=0.05mm).
引文
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[2]Buttery R J,Benedetti M D,Gates A A,et al.Error field mode studies on JET,COMPASS-D and DⅢ-D,and implications for ITER[J].Nucl.Fusion,1999,39(11):1827.
[3]孙爱萍,陈谦,彭晓东,等.HL-2M装置磁场线圈安装的误差场计算[J].核聚变与等离子体物理,2010,30(4):335.
[4]Liu D Q,Lin T,Qiao T.Assembly study for HL-2Mtokamak[J].Fusion Engineering and Design,2015,s96?97:298?301.
[5]HL-2M装置工程部.HL-2M装置主机安装招标文件[R].成都:核工业西南物理研究院,2014.
[6]邹晖,李广生,蔡立君,等.HL-2M环向场线圈的结构设计[J].核聚变与等离子体物理,2016,36(2):136.
[7]邱银,李广生,单亚农,等.HL-2M装置环向场线圈导体材料的选择和制造[J].核聚变与等离子体物理,2017,37(1):43.
[8]李养成.空间解析几何[M].北京:科学出版社,2007.