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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。
According to the structural characteristics of catenary, the coherence function of wind speed and the power spectral density function are simplified without reducing the precision. A simulation model of stochastic fluctuating wind velocity field of catenary based on multivariable harmonic synthesis is proposed. This model uses the Davenport spectrum along the height which is suitable for calculating the fluctuating wind field of the catenary, considers the correlation between turbulent wind speeds at different nodes and introduces the phase difference of the horizontal wind speed. By using the fast Fourier transform (FFT) Technology to replace the harmonic superposition algorithm to improve the efficiency of harmonic synthesis. Finally, this method is used to simulate the random wind field of the catenary in the New Zealand Line. The calculated results show that the cross-spectral density function and the cross-correlation function are in good agreement with the target results, indicating that the proposed model can accurately simulate a random fluctuating wind field suitable for catenary structure.