Simulation Study of Stochastic Wind Field of Catenaries with Spatial Correlativity. [J]. Electric Drive for Locomotives (2):22-25(2010)
DOI:
Simulation Study of Stochastic Wind Field of Catenaries with Spatial Correlativity. [J]. Electric Drive for Locomotives (2):22-25(2010) DOI: 10.13890/j.issn.1000-128x.2010.02.005.
Simulation Study of Stochastic Wind Field of Catenaries with Spatial Correlativity
针对接触网的结构特点,在不降低精度的前提下,对风速相干函数及功率谱密度函数进行了适当简化,提出了基于多变量谐波合成法的接触网随机脉动风速场的模拟模型。该模型采用了适合接触网脉动风场计算的沿高度不变的Davenport 谱,考虑了紊流风速在不同节点的相关关系,同时引入了水平风速的相位差;利用FFT(the fast Fourier transform technique)技术来代替谐波叠加的算法提高了谐波项合成效率。最后,应用该方法模拟了新疆兰新线百里风区接触网的随机风场。计算结果表明,互功谱密度函数、互相关函数与目标结果非常吻合,说明所提出的模型可以准确地模拟出适合接触网结构的随机脉动风场。
Abstract
According to catenary construction, at unreduced precision, a multivariable simulation model of catenary stochastic pulsation wind field based on the harmonic synthesis was proposed, which properly simplifies wind speed coherence function and power spectral density function. The simulation model adopted the Davenport power spectral density unchanging along the height and considered the correlations between three turbulent wind components at different points and introduced the discrepancy at different phase angles to represent the time delay in wind velocity passage. The FFT technique (fast Fourier transform technique) is used to enhance the harmonic synthesis efficiency. A numerical example of simulation for stochastic wind field of the hundred-mile wind field at Lanchow-Sinkiang railway is included in this paper to illustrate the improved method introduced. It is demonstrated that the cross-power spectral density function and cross-correlation function are in good agreement with the expected targets. It means that the proposed method can simulate the target stochastic pulsing wind velocity field accurately and effectively.