五种过闸流量计算方法在槐店闸的适用性及改进的杜屿公式精度分析

Applicability of Five Kinds of Methods for Calculating Water Discharge Through Huaidian Sluice Gate and Analysis of Modified Duyu Formula Precision

根据淮河流域沙颍河上的槐店闸2003～2012年观测资料,采用传统水力学公式、亨利公式、杜屿公式、儒可夫斯基公式、考虑下沿形式等五种公式计算了该闸过闸流量,比较了各公式的适用性,发现杜屿公式适用性最好。为进一步提高杜屿公式的计算精度,调整了杜屿公式中流量系数μ0与闸门开度e/闸孔水头H之间的关系,采用最小二乘法原理,利用Matlab软件实现对μ0的三阶多项式拟合,从而获得了改进的杜屿公式。用改进后的杜屿公式重新计算过闸流量值,并与传统水力学公式、亨利公式、儒可夫斯基公式、考虑下沿形式公式进行比较,结果发现改进后的杜屿公式的相对误差均有所减少;与改进前的杜屿公式相比,改进后的杜屿公式相对误差、平均相对误差、变差系数有所减小。实践证明,改进后的杜屿公式精度有所提高,对槐店闸过闸流量调度有重要借鉴作用。

According to observed dates from 2003-2012 in Huaidian sliuce gate,Huaihe River Basin,five kinds of formulae（the traditional hydraulics formula,Henry formula,Duyu formula,considering gate underside style formula and Joukowski Formula）were used to calculate the flow rate in Huaidian sluice gate.The applicability of five kinds of formulae is compared.It found that Duyu Formula has best applicability.In order to improve the calculation precision of Duyu formula,the relationship between discharge coefficientμ0and the ratio of gate opening and head e/H was adjusted.Based on the theory of the least square method,Matlab software was used to realizeμ0three-order polynomial fitting and the modified Duyu formula was obtained.The flow rate was recalculated with the modified Duyu formula and compared with five kinds of formula results.Compared with the original formula,it found that the relative error,average relative error and variation coefficient of improved Duyu formula all decreased.Practice has proved that the modified Duyu formula raises the precision in some degree.It has important reference to dispatch the flow rate in Huaidian sluice gate.