Article(id=1222940987538792828, tenantId=1146029695717560320, journalId=1205116964453384197, issueId=1222940980886626474, articleNumber=null, orderNo=null, doi=10.20040/j.cnki.1000-7709.2023.20230827, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1682092800000, receivedDateStr=2023-04-22, revisedDate=1686240000000, revisedDateStr=2023-06-09, acceptedDate=null, acceptedDateStr=null, onlineDate=1769501452573, onlineDateStr=2026-01-27, pubDate=1700841600000, pubDateStr=2023-11-25, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1769501452573, onlineIssueDateStr=2026-01-27, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1769501452573, creator=13041195026, updateTime=1769501452573, updator=13041195026, issue=Issue{id=1222940980886626474, tenantId=1146029695717560320, journalId=1205116964453384197, year='2023', volume='41', issue='11', pageStart='1', pageEnd='226', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1769501450987, creator=13041195026, updateTime=1769501450987, updator=13041195026, preIssue=null, nextIssue=null, ext=null, issueFiles=null}, startPage=183, endPage=186, ext={EN=ArticleExt(id=1222940989325566453, articleId=1222940987538792828, tenantId=1146029695717560320, journalId=1205116964453384197, language=EN, title=Construction of Hydraulic Turbine Operating Characteristic Surface Based on Moving Least Square Method, columnId=1222925284869922957, journalTitle=Water Resources and Power, columnName=ELECTROMECHANICS AND CONTROL ENGINEERING, runingTitle=null, highlight=null, articleAbstract=

The distribution of measured operating data of hydraulic turbines is non-structural and uneven density. The moving least squares method was used to fit the measured operating parameters to obtain the spatial characteristic surface of the water turbine, which can reflect the local characteristics of data surface and avoid the distortion caused by the differences of data distribution density. The Riyadh criteria was used to perform preliminary data filtering. The support radius was adaptively determined by local fitting across different ranges of discrete sample points. The robust moving least square surface reconstruction model was established combined with the Mahalanobis distance denoising method. Compared with the least squares method, the example calculation results show that the moving least squares method fits the operating characteristics of hydraulic turbines with higher accuracy and supplements the local data effectively. The result can reflect the operating characteristics of hydraulic turbines authenticity, which provides a reference for correcting the operating characteristic curve given by the turbine manufacturer.

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针对水轮机实测运行数据分布非结构性、疏密不均等特点，采用移动最小二乘法拟合机组实测运行参数获得水轮机工作区空间特性曲面，可体现数据曲面局部特性、避免数据分布密度差异导致的失真。通过拉依达准则进行初步的数据滤波，对离散样本点进行不同范围的局部拟合自适应确定支撑半径，结合马氏距离除噪法建立稳健移动最小二乘曲面重构模型。实例计算结果表明，与最小二乘法相比，移动最小二乘法对水轮机运行特性数据进行了较高精度的有效拟合和局部数据补充，可真实反映水轮机运行特性，为修正水轮机出厂运行特性曲线提供参考。

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李鹏（1980-），男，高级工程师，研究方向为水利水电工程电气、信息化设计，E-mail：13919463527@139.com

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李鹏（1980-），男，高级工程师，研究方向为水利水电工程电气、信息化设计，E-mail：13919463527@139.com

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