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.
LI Lin-Wei,WANG Lei,ZHU Luo-Ping et al. Application of least square fitting method in installation of large hydro generating sets[J]. Journal of Drainage and Irrigation Machinery Engin, 2014, 32(1): 45-50.
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.
Gander W, Golub G H, Strebel R. Least-squares fitting of circles and ellipses[J]. BIT Numerical Mathematics, 1994, 34(4): 558-578.
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.
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)
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)