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基于主曲线方法的水轮机特性曲线的数值拟合
引用本文:王宜怀,沈祖诒,孙涌.基于主曲线方法的水轮机特性曲线的数值拟合[J].水力发电学报,2009,28(3).
作者姓名:王宜怀  沈祖诒  孙涌
作者单位:王宜怀,孙涌,WANG Yihuai,SUN Yong(苏州大学计算机科学与技术学院,苏州,215006;河海大学水电工程学院,南京,210098);沈祖诒,SHEN Zuyi(河海大学水电工程学院,南京,210098)  
基金项目:教育部高等学校博士学科点专项科研基金 
摘    要:主曲线是用一维光滑曲线对数据集合进行信息抽取的一种方法,是第一主成分的非线性推广.通过分析传统回归方法在水轮机特性曲线数值拟合中存在的问题,提出了利用主曲线作为数学工具对水轮机特性曲线进行数值拟合.理论分析与实践表明,利用主曲线方法进行水轮机特性曲线的数值拟合,不仅拟合精度可以得到保证,而且对各种曲线可以用以投影指标为自变量的统一的数学表达式进行描述.该方法为水轮机特性曲线的数值拟合提供了一个新途径.

关 键 词:水力机械  水轮机特性曲线  数值拟合  主曲线  投影指标

Numerical simulation of characteristic curves of hydraulic turbine based on principal curves
WANG Yihuai ,SHEN Zuyi,SUN Yong.Numerical simulation of characteristic curves of hydraulic turbine based on principal curves[J].Journal of Hydroelectric Engineering,2009,28(3).
Authors:WANG Yihuai    SHEN Zuyi  SUN Yong
Affiliation:1.School of Computer Science and Engineering;Soochow University;Suzhou 215006;2.School of Water Conservancy and Hydropower Engineering;Hohai University;Nanjing 210098
Abstract:Principal curve is a method of using one dimension smooth curve to finish information extract of a data set and can be regarded as the nonlinear generalization of the first principal component. The method of using principal curve as a mathematical tool is proposed by analyzing the problem of conventional regression analysis in numerical simulation of characteristic curves of hydraulic turbine. The results of theory analysis and practice show that numerical simulation of characteristic curves of hydraulic tu...
Keywords:hydraulic machinery  characteristic curves of hydraulic turbine  numerical simulation  principal curves  projection index  
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