华北水利水电大学学报（自然科学版）2024，Vol.45Issue(3)：26-32,7.DOI:10.19760/j.ncwu.zk.2024026
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
摘要
Abstract
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Key words
open channel water diversion project/digital twin/water discharge through sluice/Biharmonic spline interpo-lation/dimensional analysis分类
建筑与水利引用本文复制引用
陈晓楠,乔雨,许新勇,卢明龙..基于双调和样条插值和量纲分析的过闸流量计算[J].华北水利水电大学学报（自然科学版）,2024,45(3):26-32,7.基金项目
国家自然科学基金项目(51979109) （51979109）
水利青年科技英才资助项目(2021-12-01). （2021-12-01）
