基于移动最小二乘法的水轮机运行特性曲面构建  

Construction of Hydraulic Turbine Operating Characteristic Surface Based on Moving Least Square Method

作　　者：李鹏 刘艳娜 LI Peng;LIU Yan-na(Gansu Water Resources and Hydroelectric Investigation and Design&Research Institute Co.,Ltd.,,Lanzhou 730000,China;Guodian Nanjing Automation Co.,Ltd.,Nanjing 210032,China;Nanjing Hohai Nanzi Hydropower Automation Co.,Ltd.,Nanjing 210032,China)

机构地区：[1]甘肃省水利水电勘测设计研究院有限责任公司,甘肃兰州730000 [2]国电南京自动化股份有限公司,江苏南京210032 [3]南京河海南自水电自动化有限公司,江苏南京210032

出　　处：《水电能源科学》2023年第11期183-186,17,共5页Water Resources and Power

摘　　要：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。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.

关 键 词：移动最小二乘法 水轮机运行数据 曲面拟合 支撑半径 特性曲面 

分 类 号：TK733[交通运输工程—轮机工程] TV734.1[动力工程及工程热物理—流体机械及工程]