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Mixed model-based mixed wave height and period joint distribution construction method

A technology of mixed model and joint distribution, applied in the direction of instrumentation, design optimization/simulation, calculation, etc., to achieve the effect of wide application range, good fitting effect, and avoiding restrictive conditions

Active Publication Date: 2019-04-05
OCEAN UNIV OF CHINA
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  • Application Information

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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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  • Mixed model-based mixed wave height and period joint distribution construction method
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  • Mixed model-based mixed wave height and period joint distribution construction method

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Embodiment Construction

[0042] refer to figure 1 , the present invention is based on the mixed wave height and period joint distribution construction method of the mixed model comprising the following steps:

[0043] Step 1: Select the original distribution function, here we use two-dimensional lognormal distribution and Gumbellogistic distribution. Assuming that X and Y represent the wave height and corresponding period of the upper zero crossing 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 of 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 dependence coefficient representing the relationship between X and Y, defined as:

[00...

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Abstract

The invention provides a mixed wave height and period combined distribution construction method based on a mixed model. The method comprises the steps that A, selecting an original distribution function; B, establishing a two-dimensional mixing model; C, constructing a Q function of an EM algorithm; D, selecting an initial value of iterative computation; E, calculating parameters of the mixed distribution model; And F, constructing a mixed distribution model of the wave height and the period. The probability model of parameters is adopted, the limiting condition of narrow spectrum hypothesis of the theoretical model is avoided, and the application range is wider. Meanwhile, compared with a common parameter model, the mixed distribution model can simulate the bimodal condition possibly presented by wave height and period combined distribution under the mixed wave condition, and the fitting effect is better.

Description

technical field [0001] The invention belongs to the technical field of wave resource assessment, and in particular relates to a method for constructing a joint distribution of mixed wave height and period based on a mixed model. Background technique [0002] In the field of marine engineering, it is very important to accurately describe the characteristics of ocean waves, and constructing the short-term joint distribution of wave height and period is a common method. Since 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 ship stability. 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 most rep...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 董胜黄炜楠赵玉良
Owner OCEAN UNIV OF CHINA