基于双调和样条插值和量纲分析的过闸流量计算  

Calculation of Water Discharge Through Sluice Based on Biharmonic Spline Interpolation and Dimensional Analysis

作　　者：陈晓楠 乔雨 许新勇[2] 卢明龙 CHEN Xiaonan;QIAO Yu;XU Xinyong;LU Mingong(China South-to-North Water Diversion Middle Route Corporation Limited,Beijing 100038,China;School of Water Resources,North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]中国南水北调集团中线有限公司,北京100038 [2]华北水利水电大学,河南郑州450046

出　　处：《华北水利水电大学学报（自然科学版）》2024年第3期26-32,共7页Journal of North China University of Water Resources and Electric Power：Natural Science Edition

基　　金：国家自然科学基金项目(51979109);水利青年科技英才资助项目(2021-12-01)。

摘　　要：过闸流量的精确计算是保障调水工程安全运行的基础,过闸流量计算模型是数字孪生调水工程建设的重要水力模型之一。调度运行中虽积累大量的实时水情数据,但受控制模式和用水需求等因素的影响,实际监测数据多集中于少量的局部范围内,难以获得覆盖范围广且具有代表性的数据,导致过闸流量模型的泛化能力不足。针对上述问题,提出了一种双调和样条插值和量纲分析的过闸流量计算方法,在样本点较少的实际情况下,通过充分利用样本点的位置信息进行数据插补后,利用量纲分析法进行过闸流量计算。以南水北调中线工程岗头节制闸和西黑山节制闸为研究对象,对比分析双调和样条插值和量纲分析方法与单一量纲分析法在过闸流量计算中实测样本与拟合曲线的决定系数、计算精度等。结果表明,相比于单一量纲分析法,在代表性数据缺乏的条件下,基于双调和样条插值和量纲分析的弧形闸门过闸流量计算方法具有较高的计算精度,过闸关系曲线拟合决定系数约提高8%,过闸流量计算结果的绝对误差和相对误差都有所降低。The accurate calculation of discharge through sluice is the basis of scientific control of the water transfer channel and safe operation of the water transfer system,and is also one of the important hydraulic models for the construction of the digital twin water transfer project.Although a large amount of real-time water situation data is accumulated during dispatc-hing operation,due to the influence of control mode and water demand,the monitoring data values are mostly concentrated in a small local range in practice,and it is difficult to obtain representative data covering a wide range,resulting in insuffi-cient generalization ability of the model of discharge through sluice.In view of the above issues,this paper proposes a method for calculation of the discharge through sluice based on the coupling of biharmonic spline interpolation and dimen-sional analysis.In the case that few representative sample points can be obtained in practice,after making full use of the position information of sample points for data interpolation,the dimensional analysis method is used to calculate discharge through sluice.Taking the Gang-tou sluice and Xiheishan sluice of the Middle Route of South-to-North Water Transfer Pro-ject as the research object,the determination coefficient and calculation accuracy of the measured samples and the fitting curve in the calculation of the discharge through sluice are compared and analyzed by the biharmonic spline interpolation and dimensional analysis method.The results show that compared with the single dimension analysis method,the method based on biharmonic spline interpolation and dimension analysis has higher calculation accuracy under the condition of lack of representative data.The determination coefficient of the fitting of the sluice relationship curve is increased by about 8%,and the absolute and relative errors of the sluice flow calculation results are reduced.

关 键 词：明渠调水工程 数字孪生 过闸流量 双调和样条插值 量纲分析 

分 类 号：TV68[水利工程—水利水电工程]