三参数幂函数在单一水位-流量关系曲线中的运用分析

Analysis of the application of three parameter power function in the curve of single water level and discharge

利用三参数幂函数来拟合单一水位-流量关系曲线,虽然拟合精度较高,但在低水处误差较大,定线精度不够好,有的甚至不能通过关系曲线检验。通过分段拟合关系曲线,并将涉及参数通过归纳解析的方法,将参数从常数转变成与水位相对应的系列参数,最后利用三参数幂函数公式求得流量,建立单一水位-流量关系曲线,提高了拟合精度。

The three parameter power function is used to fit the relation curve of a single water level stage-discharge.Although the fitting accuracy is higher,the error of the low water is larger,the accuracy of the alignment is not good enough,and some can not be tested by the relationship curve.The piecewise curve fitting,and will involve parameters by inductive analytical method,the parameter from the constant change into the series parameters corresponding to the water level,at last,using the three parameter power function formula obtained flow,the establishment of the relation curve that level stage-discharge and improve the fitting precision.