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基于保凸保单调的分段幂函数在水位流量关系曲线拟合中的应用
引用本文:王燕飞,黄燕荣.基于保凸保单调的分段幂函数在水位流量关系曲线拟合中的应用[J].红水河,2011(6):19-23.
作者姓名:王燕飞  黄燕荣
作者单位:[1]广西电力工业勘察设计研究院,广西南宁530023 [2]江西抚州市水文局,江西抚州344000
摘    要:文章构建一类保凸保单调的分段幂函数,它可以满足水位流量关系曲线的保单调不反曲要求,同时可以有效解决水位流量关系常规模型率定时中高水、低水无法兼顾的问题.然后将此新水位流量关系模型用于水位流量关系曲线的自动优化率定,并采用差分进化算法求解该模型,实例表明该模型可以很好地拟合水位流量关系曲线,比常用的常规水位流量关系模型拟...

关 键 词:水位流量关系  曲线拟合  分段幂函数  优化率定  差分进化算法

Application of Subsection Power Function in Fitting of Stage-discharge Relation Curve Based on Convexity and Monotonicity Preserving
WANG Yan-fei,HUANG Yan-rong.Application of Subsection Power Function in Fitting of Stage-discharge Relation Curve Based on Convexity and Monotonicity Preserving[J].Hongshui River,2011(6):19-23.
Authors:WANG Yan-fei  HUANG Yan-rong
Affiliation:1. Guangxi Electric Power Industry Investigation Design and Research Institute, Guangxi Nanning 530023; 2. Jiangxi Fuzhou Hydrological Bureau, Jiangxi Fuzhou344000)
Abstract:In this paper, a subsection power function based on convexity and monotonicity preserving is established, which can not only meet the convexity and monotonicity preserving requirements of stagedischarge relation curve but also effectively solve the problems of considering both middle-high and lower water levels in conventional model calibration of stage-discharge relation curve. Then, use the new model for automatic calibration of stage-discharge relation curve and solve the model by differential evolution algorithm. It is showed that the new model can fit the stage-discharge relation curve better than conventional model, which avoids randomicity of artificial calibration and simplifies the complexity of manual operation.
Keywords:stage-discharge relation  curve fitting  subsection power function  optimized calibration  differential evolution algorithm
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