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Rainstorm intensity formula parameter calibration method based on Taylor series expansion

A technology of rainstorm intensity and Taylor series, which is applied in the field of rainstorm intensity formula parameter calibration, can solve the problem that it is difficult to obtain the optimal true value solution for the parameters of the rainstorm intensity formula, and achieves simple structure, different parameters with the same effect, and solution efficiency high effect

Active Publication Date: 2021-12-21
HOHAI UNIV
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Problems solved by technology

[0004] Purpose of the invention: Aiming at the deficiencies of the prior art, the present invention proposes a method for calibrating the parameters of the rainstorm intensity formula based on Taylor series expansion. It is difficult for the algorithm to obtain the optimal true value solution for the parameters of the rainstorm intensity formula

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  • Rainstorm intensity formula parameter calibration method based on Taylor series expansion
  • Rainstorm intensity formula parameter calibration method based on Taylor series expansion
  • Rainstorm intensity formula parameter calibration method based on Taylor series expansion

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[0051] The technical solution of the present invention will be further described below in conjunction with the accompanying drawings.

[0052] Such as figure 1 As shown, a method for calibrating the parameters of the rainstorm intensity formula based on Taylor series expansion includes the following steps:

[0053] Step (1): Set the initial value range of the parameter to A 1 ∈(0,50), C∈(0,2), b∈(0,30) and n∈(0,1), use the Random number generation function to obtain a set of rainstorm intensity formulas within the initial range of parameters parameter initial value C 0 =0.4005,b 0 =20.9487, n 0 = 0.3432.

[0054] Step (2): obtained by step (1) C 0 =0.4005,b 0 =20.9487, n 0 =0.3432 Construct the formula of rainstorm intensity Choose 11 durations including 5min, 10min, 15min, 20min, 30min, 45min, 60min, 90min, 120min, 150min, 180min, choose 2 years, 3 years, 5 years, 10 years, 20 years, 30 years, 50 years, There are 8 return periods in 100 years, a total of 11×8=8...

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Abstract

The invention provides a rainstorm intensity formula parameter calibration method based on Taylor series expansion. The method comprises the following steps: randomly generating a group of rainstorm intensity formula parameter initial values; combining the parameter initial values with different durations t and different recurrence periods T, and inputting a rainstorm intensity formula to calculate the rainstorm intensity to obtain m groups of calculation samples; taking a rainstorm intensity formula parameter as an independent variable, performing Taylor series expansion on a rainstorm intensity formula, expressing the rainstorm intensity formula as a matrix form, and determining a partial derivative matrix S according to a target sample and a calculation sample; transforming the Taylor expansion matrix, determining a parameter search direction and a search step size, and optimizing parameters; and if the parameters are not converged, taking the optimized parameters as parameter initial values to be continuously processed until the parameters are converged, and obtaining a final parameter calibration result. The method can effectively solve the problems that different parameters and the same effect exist when an intelligent algorithm utilizes a target function to calibrate parameters and the optimal parameter value cannot be ensured to be a true value.

Description

technical field [0001] The invention relates to a method for calibrating parameters of a rainstorm intensity formula, which can be used for rainstorm intensity prediction and engineering design of municipal and water conservancy departments. Background technique [0002] In recent years, with the rapid development of global climate change and urbanization, extreme rainstorm events have occurred frequently, resulting in a significant increase in the risk of urban flood disasters. In order to reduce the risk of urban waterlogging, it is very important to plan, design and construct a drainage system that is compatible with the characteristics of urban rainstorm according to the rainstorm intensity formula. Therefore, it is of great practical value to scientifically determine the parameters of the rainstorm intensity formula and improve the accuracy of the rainstorm intensity formula. The rainstorm intensity formula is a quantitative expression describing the characteristics of...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/10G06F17/16
CPCG06F17/10G06F17/16
Inventor 李琼芳许树洪周正模陈启慧任黎和鹏飞杜尧韩幸烨曾天山
Owner HOHAI UNIV
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