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A method for constructing the joint distribution of mixed wave height and period based on a mixed model

A hybrid model and joint distribution technology, used in design optimization/simulation, special data processing applications, etc., to achieve good fitting effect, avoid restrictive conditions, and have a wide range of applications.

Active Publication Date: 2022-07-15
OCEAN UNIV OF CHINA
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Problems solved by technology

However, this parametric distribution model can still only fit the case where the joint distribution of wave height and period is unimodal

Method used

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  • A method for constructing the joint distribution of mixed wave height and period based on a mixed model
  • A method for constructing the joint distribution of mixed wave height and period based on a mixed model
  • A method for constructing the joint distribution of mixed wave height and period based on a mixed model

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Embodiment Construction

[0042] refer to figure 1 , the method for constructing the combined wave height and period of the mixed wave based on the mixed model of the present invention comprises the following steps:

[0043] Step 1: Select the original distribution function, here we use the two-dimensional lognormal distribution and the Gumbellogistic distribution. Assuming that X and Y represent the upper zero-crossing wave height and the corresponding period, respectively, the two-dimensional lognormal distribution can be expressed as

[0044]

[0045] In the formula, (ξ x ,ε x ) and (ξ y ,ε y ) are the mathematical expectation and standard deviation of ln(X) and ln(Y), respectively, and ρ is the correlation coefficient between X and Y.

[0046] The probability function of the Gumbel logistic distribution can be written as

[0047] F(x,y)=exp{-[(-lnF(x)) η +(-lnF(y)) η ] 1 / η }(η≥1) (2)

[0048] In the formula, η is the dependency coefficient representing the relationship between X and Y,...

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Abstract

The present invention proposes a method for constructing a combined wave height and period distribution of a mixed wave based on a mixed model, including: A. selecting an original distribution function; B. establishing a two-dimensional mixed model; C. constructing a Q function of the EM algorithm; D. selecting an iterative calculation The initial value of ; E. Calculate the parameters of the mixed distribution model; F. Construct the mixed distribution model of wave height and period. The present invention adopts the probability model of parameters, avoids the restriction condition of the narrow spectrum assumption of the theoretical model, and has a wider application range. At the same time, compared with the commonly used parametric models, the mixed distribution model can simulate the possible double peaks of the joint distribution of wave height and period in the case of mixed waves, and the fitting effect is better.

Description

technical field [0001] The invention belongs to the technical field of wave resource evaluation, and in particular relates to a method for constructing the joint distribution of mixed wave height and period based on a mixed model. Background technique [0002] In the field of ocean engineering, it is very important to accurately describe the characteristics of ocean waves, and constructing a short-term joint distribution of wave height and period is a common method. Because the short-term joint distribution of wave height and period contains a large amount of geometric feature information of waves, it plays an important role in designing marine structures and evaluating the stability of ships. The problem of constructing the joint probability density function of wave height and period is very complicated. Many scholars have proposed many theoretical two-dimensional distribution models of wave height and period, among which the model proposed by Longuet-Higgins in 1983 is the...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20
CPCG06F30/20
Inventor 董胜黄炜楠赵玉良
Owner OCEAN UNIV OF CHINA