Abstract：In order to analyze the quality of installation and machining, and the deformation of equipment in hoisting and concrete construction for large hydro generating sets, an algorithm of least squares for fitting a circle and plane based on VC programming was presented and applied into installation of large hydro generating sets. In the light of this method, the roundness of bored holes on top and bottom annular plates of the stay ring was 1.53 mm and 1.74 mm, the fitted radius was 6 340.24 mm and 6 335.48 mm, the concentricity was 0.14 mm, all the parameters have arrived at the standard of excellence. In another hydro power station, the altitude of each point on the top annular plate of stay ring was measured by a level after volute concreting and grouting was completed, then the flatness of the plate was fitted by means of this method, showing a 6.44 mm flatness which was better than that in the quality standard for installation. During integral hoisting of a large stator frame, the altitude of each point on the legs of the frame was measured, and then the flatness of every leg was calculated by fitting plane with that method, eventually, the deformation of the frame could be analyzed quickly.
李林伟, 王磊, 朱罗平, 施国庆. 最小二乘拟合法在大型水电机组安装中的应用[J]. 排灌机械工程学报, 2014, 32(1): 45-50.
Li Linwei, Wang Lei, Zhu Luoping, Shi Guoqing. Application of least square fitting method in installation of large hydro generating sets. Journal of Drainage and Irrigation Machinery Engin, 2014, 32(1): 45-50.
[1]Fitzgibbon A, Pilu M, Fisher R B. Direct least square fitting of ellipses[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1999,21(5):476-480.[2]Gander W, Golub G H, Strebel R. Least-squares fitting of circles and ellipses[J]. BIT Numerical Mathematics, 1994, 34(4): 558-578.[3]Lukacs G, Martin R, Marshall D. Faithful least-squares fitting of spheres, cylinders, cones and tori for reliable segmentation[J]. Lecture Notes in Computer Science, 1998,1406:671-686.[4]刘志刚,鲍加贞,汤时虎. 基于VC的最小二乘拟合圆在LAMOST中的应用[J]. 现代制造工程, 2008(1):94-96. Liu Zhigang, Bao Jiazhen, Tang Shihu. Application of least square fitting circle based on VC LAMOST[J]. Modern Manufacturing Engineering, 2008(1):94-96.(in Chinese)[5]朱嘉,李醒飞,谭文斌, 等. 基于圆心约束最小二乘圆拟合的短圆弧测量[J]. 光学精密工程, 2009,17(10):2486-2492. Zhu Jia, Li Xingfei, Tan Wenbin, et al. Measurement of short arc based on centre constraint least square circle fitting[J]. Optics and Precision Engineering, 2009,17(10):2486-2492.(in Chinese)[6]刘珂,周富强,张广军. 半径约束最小二乘圆拟合方法及其误差分析[J]. 光电子·激光, 2006,17(5):604-607. Liu Ke, Zhou Fuqiang, Zhang Guangjun. Radius constraint least-square circle fitting method and error analysis[J]. Journal of Optoelectronics Laser, 2006,17(5):604-607.(in Chinese)[7]潘国荣,李怀锋. 基于空间向量的空间圆形拟合检测新方法[J]. 大地测量与地球动力学, 2010,30(4):106-108. Pan Guorong, Li Huaifeng. A new test method based on space vector in 3D circle fitting[J]. Journal of Geodesy and Geodynamics, 2010, 30(4):106-108.(in Chinese)[8]邵卫云,张雄. 水泵水轮机全特性曲线的拟合——移动最小二乘近似[J]. 水力发电学报, 2004,23(5):102-106. Shao Weiyun, Zhang Xiong. A new simulation method of complete characteristic curves of reversible pump turbine—moving least square approximation[J]. Journal of Hydroelectric Engineering, 2004,23(5):102-106.(in Chinese)[9]彭文季, 郭鹏程, 罗兴锜. 基于最小二乘支持向量机和信息融合技术的水电机组振动故障诊断研究[J]. 水力发电学报, 2007,26(6):137-142. Peng Wenji, Guo Pengcheng, Luo Xingqi. Research on vibration fault diagnosis of hydro-turbine generating unit based on LS-SVM and information fusion technology[J]. Journal of Hydroelectric Engineering, 2007,26(6):137-142.(in Chinese)[10]彭玉成,郑莉媛,曹艳, 等. 水电机组发电机转子圆度分析方法研究[J]. 水力发电, 2010,36(10):56-58,75. Peng Yucheng, Zheng Liyuan, Cao Yan, et al. Analysis on the roundness of hydroelectric generator rotor[J]. Water Power, 2010,36(10):56-58,75.(in Chinese)[11]刘晋. 关于最小二乘法求圆的拟合中心计算[J]. 建材与装饰, 2007(11):137-138. Liu Jin. The calculation on fitting center of circle using least square method[J]. Construction Materials & Decoration, 2007(11):137-138.(in Chinese)
