An Optimized Method for Estimating Parameters of the Rainstorm Intensity Formula

Chen Zhenghong; Wang Haijun; Zhang Xiaoli

Vol.18, NO.2, 2007

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Article Navigation > Journal of Applied Meteorological Science > 2007 > 18(2): 237-241

Chen Zhenghong, Wang Haijun, Zhang Xiaoli. An optimized method for estimating parameters of the rainstorm intensity formula. J Appl Meteor Sci, 2007, 18(2): 237-241.

Citation:

Chen Zhenghong, Wang Haijun, Zhang Xiaoli. An optimized method for estimating parameters of the rainstorm intensity formula. J Appl Meteor Sci, 2007, 18(2): 237-241.

Chen Zhenghong, Wang Haijun, Zhang Xiaoli. An optimized method for estimating parameters of the rainstorm intensity formula. J Appl Meteor Sci, 2007, 18(2): 237-241.

Citation:

Chen Zhenghong, Wang Haijun, Zhang Xiaoli. An optimized method for estimating parameters of the rainstorm intensity formula. J Appl Meteor Sci, 2007, 18(2): 237-241.

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An Optimized Method for Estimating Parameters of the Rainstorm Intensity Formula

1.
Wuhan Regional Climate Center, Wuhan 430074
2.
Wuhan Institute of Heavy Rain, CMA, Wuhan 430074
3.
Hubei Meteorological Information and Technological Support Center, Wuhan 430074
4.
Shenzhen Meteorological Observatory, Shenzhen 518008

Received Date: 2006-07-24
Rev Recd Date: 2006-11-28
Publish Date: 2007-04-30

Abstract

Abstract

In hydrology, the form of the rainstorm intensity formula is known as the nonlinear one with excess factors, and its parameters are not easy to be solved with normal methods, which makes the method design of parameters estimate and the elimination of the error from parameters estimate the most crucial. For a long time, many methods to estimate the parameters of the formula have been put forward by hydrological and meteorological experts that have exerted a profound influence on urban water drainage design. But all the methods above have certain error from objective error by personal judging, approximate supposed error, or missing error from skip-over searching.An objective and optimized method for estimating the parameters of the rainstorm intensity formula is put forward that can avoid the above errors skillfully. First, the non-linear formula is linearized and the scope of the parameters b and C is decided. Second, the parameters A and n can be determined based on known rainstorm intensity, duration and return period (i-t-T) tri-relation table by least regression method after the value of b (single period formula) or a combination of the value of b and C(multi-period formula) is given. Then the formula with least error is the optimum one.This method is used in Shenzhen and Wuhan separately, and the accuracy of the formula can meet the requirement of the national standard and is superior to the compared methods. A software has been designed according to the new method and can be used easily and popularized nationwide. If the original data are put in, the estimating result of the curve pattern, formula parameters, error, figures and table can be obtained quickly.
- rainstorm intensity formula;
- linearize;
- optimize;
- error control

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References(27)

Figures and Tables

图 1 深圳市不同重现期的暴雨强度随历时变化曲线

(指数分布, 从上到下对应重现期为100 a, 50 a, ..., 0.25 a)

Fig. 1 The curve of rainstorm intensity with duration in different return period in Shenzhen

(exponential distribution, the return period: 100 a, 50 a, ..., 0.25 a from top to bottom)

DownLoad: Full-Size Img PowerPoint

表 1 深圳市不同历时 (t)、重现期 (T) 对应的雨强 (指数分布, 单位: mm/min)

Table 1 Rainstorm intensity with duration (t) and return period (T) in Shenzhen (exponential distribution, unit: mm/min)

表 2 武汉市不同历时 (t)、重现期 (T) 对应的雨强 (指数分布, 单位: mm/ min)

Table 2 Rainstorm intensity with duration (t) and return period (T) in Wuhan (exponential distribution, unit: mm/min)

表 3 最优法所求深圳市暴雨强度分公式参数和误差一览表 (指数分布)

Table 3 The value of the parameters and error of the rainstorm intensity formula for single return period calculated by optimized method in Shenzhen (exponential distribution)

表 4 最优法所求武汉市暴雨强度分公式参数和误差一览表 (指数分布)

Table 4 The value of the parameters and error of the rainstorm intensity formula for single return period calculated by optimized method in Wuhan (exponential distribution)

表 5 最优法所求深圳、武汉暴雨强度总公式误差一览表 (指数分布)

Table 5 The value of the error of the rainstorm intensity formula for any return period calculated by optimized method in Shenzhen and Wuhan (exponential distribution)

表 6 二分搜索法 (黄金分割法) 所求深圳、武汉暴雨强度总公式误差一览表 (指数分布)

Table 6 The value of the error of the rainstorm intensity formula for any return period calculated by two-part searching method in Shenzhen and Wuhan (exponential distribution)

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