多项式拟合水位流量关系曲线  

Analysis on Polynomial Fitting of Water Level-discharge Relation Curve

作　　者：宁德雄 李游 NING De-xiong;LI You(Yunnan Hydrology and Water Resources Bureau,Qujing Branch,Qujing 655000,China;Liaoning Shenfu Reform and Innovation Demonstration Area Xincheng Construction Headquarter,Shenfu 113122,China)

机构地区：[1]云南省水文水资源局曲靖分局,云南曲靖655000 [2]辽宁省沈抚改革创新示范区新城建设指挥部,辽宁沈抚新区113122

出　　处：《云南水力发电》2023年第1期326-329,共4页Yunnan Water Power

摘　　要：依据实测资料采用多项式结合最小二乘法数学原理对水位流量关系曲线进行拟合。对于测站控制分时段或者各级水位流量关系曲线趋势不一致的测站采用分段拟合,人工对节点稍加修正即可通过三项检验,经采用黄梨树等站多站多年实测资料验证,工定线推流和拟合定线推流年平均流量误差为0~0.007之间;最大流量误差为0~0.01之间;最小流量误差为0~0.03之间;误差全部小于±5%,其精度满足SL247-2012《水文资料整编规范》要求。多项式拟合水位流量关系曲线可代替传统的人工定线,工作效率大幅提升。Based on the measured data, the water level-flow relationship curve is fitted by polynomial and least square method. For stations with inconsistent trend of water level-discharge relation curve at different stages or stages under control of the station, sectional fitting is adopted. Three checks can be carried out if the joint is slightly modified manually. The annual average flow error of the constructed line pusher and the fitted line pusher is between 0 and 0.007, which is verified by measured data from Huanglishu and other stations in many years. The maximum flow error is between 0 and 0.01. The minimum flow error is between 0 and 0.03;All errors are less than <5%, and their accuracy meets the requirements of SL247-2012 Code for Hydrological Data Compilation.Polynomial fitting of water level-discharge relation curve can replace traditional manual alignment and greatly improve work efficiency.

关 键 词：最小二乘法 二次多项式 水位流量关系曲线拟合 检验 流量误差 

分 类 号：TV123[水利工程—水文学及水资源]