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Prediction of Wind Speeds in Well-behaved Climates and Those in Typhoon-prone Regions

机译:行为良好的气候和台风多发地区的风速预测

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Determination of design wind speeds and the associated uncertainty is a crucial step in windresistant structural designs and in quantatative wind risk assessments. Design wind speeds are usually estimated by various statistical methods based on recorded field wind speeds. However, recorded field wind data are often quite limited and are not sufficient for reliable statistical analyses, especially when one estimates long-return-period (or directional) design wind speeds. Therefore, simulation of wind speeds with statistical properties compatible to those from observed wind speeds is a critical research topic. This paper respectively considers the prediction of wind speeds in well-behaved climates as well as those in typhoonprone regions. A non-stationary autoregressive model, with random coefficients modeled by a Hidden Markov Chain, is developed for simulating wind speeds in well-behaved climates. It is shown that the statistical properties of the simulated wind speeds are quite close to those of the field wind speeds. In addition, the simulated wind speeds exhibit the similar non-stationarity inherent in the field wind speeds. The second part of this paper deals with the prediction of surface wind speeds given typhoon parameters in typhoon-prone regions. A Gaussian process based regression model is used in which the prior joint distribution for surface wind speeds given typhoon parameters is assumed to be Gaussian with a covariance function containing independent uncertain hyper-parameters. The posterior distributions for hyper-parameters are first obtained by Bayesian analyses;the posterior distribution for the surface wind speed given a set of typhoon parameters is subsequently derived for predictions. The comparison between the predictions made by the proposed model and the observed wind speeds reflects that the predicted wind speeds exhibit the similar trend revealed by the observed wind speeds and the 95% confidence intervals for predictions envelop the respective observations.
机译:确定设计风速和相关的不确定性是抗风结构设计和定量风风险评估中的关键步骤。通常基于记录的现场风速,通过各种统计方法来估计设计风速。但是,已记录的野外风数据通常非常有限,不足以进行可靠的统计分析,尤其是当人们估计了长返回周期(或定向)设计风速时。因此,模拟风速具有与从风速观察到的统计特性兼容的统计特性是一个关键的研究课题。本文分别考虑了在行为良好的气候以及台风多发地区的风速的预测。开发了一种非平稳自回归模型,该模型具有通过隐马尔可夫链建模的随机系数,用于模拟行为良好的气候中的风速。结果表明,模拟风速的统计特性与野外风速的统计特性非常接近。此外,模拟风速在野外风速中表现出相似的非平稳性。本文的第二部分处理在台风易发地区给定台风参数的情况下对地面风速的预测。使用基于高斯过程的回归模型,其中假定给定台风参数的地面风速的先验联合分布为高斯函数,且协方差函数包含独立的不确定超参数。首先通过贝叶斯分析获得超参数的后验分布;给定一组台风参数后,表面风速的后验分布可用于预测。所提出的模型所做的预测与观测到的风速之间的比较反映出,预测到的风速展现出了观测到的风速所揭示的相似趋势,并且预测的95%置信区间包围了各个观测值。

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