基于时频插值的非平稳风速随机波模拟

魏海涛; 曹黎媛; 黄馨仪; 李春祥

doi:10.19912/j.0254-0096.tynxb.2025-0317

PDF(3873 KB)

太阳能学报 ›› 2026, Vol. 47 ›› Issue (7) : 79-89. DOI: 10.19912/j.0254-0096.tynxb.2025-0317

基于时频插值的非平稳风速随机波模拟

魏海涛, 曹黎媛, 黄馨仪, 李春祥

作者信息 +

SIMULATION OF NON-STATIONARY WIND SPEED STOCHASTIC WAVE BASED ON TIME-FREQUENCY INTERPOLATION

Wei Haitao, Cao Liyuan, Huang Xinyi, Li Chunxiang

Author information +

文章历史 +

摘要

针对输电塔线体系时变相干非平稳风场模拟效率低下的问题,提出基于时频插值的高效非平稳风速随机波模拟方法（TFI-SWSRM）。首先,在非均匀分布的时频插值点处,构造出具有时变相干函数的波数频率联合功率谱（WFJPS）。其次,采用本征正交分解方法（POD）对WFJPS进行解耦,随后进行时频插值和快速傅里叶变换（FFT）生成非平稳风速时程序列。最后,使用所提出的TFI-SWSRM方法模拟输电塔线体系时变相干非平稳均匀和非平稳非均匀风场,并与现有模拟方法对比以验证该方法的有效性。数值结果表明,TFI-SWSRM具有明显高的模拟效率。

Abstract

To address the issue of low computational efficiency in simulating non-stationary wind fields with time-varying coherence functions for transmission tower-line systems, an efficient time-frequency interpolation-based stochastic wave spectral representation method （TFI-SWSRM） is proposed. First, the wavenumber-frequency joint power spectrum （WFJPS） that incorporates the time-varying coherence function is constructed at non-uniformly distributed time-frequency interpolation nodes. Second, the proper orthogonal decomposition （POD） method is adopted to decompose the WFJPS into independent components. Subsequently, non-stationary wind speed time series are generated by integrating the time-frequency interpolation （TFI） technique with the fast Fourier transform （FFT） algorithm. Finally, the effectiveness of the proposed TFI-SWSRM is verified by simulating both non-stationary homogeneous and non-stationary non-homogeneous wind fields with time-varying coherence functions in transmission tower-line systems. A comparative analysis of computational cost between the proposed TFI-SWSRM and conventional simulation methods demonstrates that the proposed approach achieves substantially higher computational simulation efficiency.

导出引用

魏海涛, 曹黎媛, 黄馨仪, 李春祥. 基于时频插值的非平稳风速随机波模拟[J]. 太阳能学报. 2026, 47(7): 79-89 https://doi.org/10.19912/j.0254-0096.tynxb.2025-0317

Wei Haitao, Cao Liyuan, Huang Xinyi, Li Chunxiang. SIMULATION OF NON-STATIONARY WIND SPEED STOCHASTIC WAVE BASED ON TIME-FREQUENCY INTERPOLATION[J]. Acta Energiae Solaris Sinica. 2026, 47(7): 79-89 https://doi.org/10.19912/j.0254-0096.tynxb.2025-0317

中图分类号： TU311

参考文献

[1] 姜明洋, 徐丽, 张开军, 等. 基于季节指数调整的循环神经网络风速时间序列预测[J]. 太阳能学报, 2022, 43(2): 444-450.
Jiang M Y, Xu L, Zhang K J, et al.Recurrent neural network prediction of wind speed time series based on seasonal exponential adjustment[J]. Acta Energiae Solaris Sinica, 2022, 43(2): 444-450.
[2] Wang X J, Li Q S, Yang J W.Nonstationary near-ground wind characteristics and wind-induced pressures on the roof of a low-rise building during a typhoon[J]. Journal of Building Engineering, 2022, 53: 104492.
[3] 朱哲萱, 马汝为, 曹黎媛, 等. 基于深度学习和广义S变换协同的风速预测[J]. 太阳能学报, 2024, 45(7): 664-671.
Zhu Z X, Ma R W, Cao L Y, et al.Wind speed prediction synergistically based on deep learning and generalizeds transform[J]. Acta Energiae Solaris Sinica, 2024, 45(7): 664-671.
[4] 张萍, 刘洪威, 张国峰, 等. 基于改进的Jensen模型尾流数值模拟研究[J]. 太阳能学报, 2023, 44(6): 509-513.
Zhang P, Liu H W, Zhang G F, et al.Study on wake numerical simulation based on improved Jensen model[J]. Acta Energiae Solaris Sinica, 2023, 44(6): 509-513.
[5] 张晓东, 李明新, 汤胜茗, 等. 台风过境风电场的CFD数值模拟方法研究[J]. 太阳能学报, 2023, 44(9): 390-396.
Zhang X D, Li M X, Tang S M, et al.Research on cfd numerical simulation method of typhoon passing wind farm[J]. Acta Energiae Solaris Sinica, 2023, 44(9): 390-396.
[6] Huang Z F, Xu Y L, Tao T Y, et al.Time-varying power spectra and coherences of non-stationary typhoon winds[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2020, 198: 104115.
[7] Liang J W, Chaudhuri S R, Shinozuka M.Simulation of nonstationary stochastic processes by spectral representation[J]. Journal of Engineering Mechanics, 2007, 133(6): 616-627.
[8] Peng L L, Huang G Q, Chen X Z, et al.Evolutionary spectra-based time-varying coherence function and application in structural response analysis to downburst winds[J]. Journal of Structural Engineering, 2018, 144(7): 04018078.
[9] Bao X M, Li C X.Fast simulation of non-stationary wind velocity based on time-frequency interpolation[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2019, 193: 103982.
[10] Bao X M, Li C X.Application of time-frequency interpolation and proper orthogonal decomposition in nonstationary wind-field simulation[J]. Journal of Engineering Mechanics, 2020, 146(5): 04020034.
[11] Zhao N, Jiang Y, Peng L L, et al.Fast simulation of nonstationary wind velocity fields by proper orthogonal decomposition interpolation[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2021, 219: 104798.
[12] Benowitz B A, Deodatis G.Simulation of wind velocities on long span structures: a novel stochastic wave based model[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2015, 147: 154-163.
[13] Chen J B, Song Y P, Peng Y B, et al.Simulation of homogeneous fluctuating wind field in two spatial dimensions via a joint wave number-frequency power spectrum[J]. Journal of Engineering Mechanics, 2018, 144(11): 04018100.
[14] 宋玉鹏, 陈建兵, 彭勇波. 基于波数-频率联合演变功率谱的一维空间非均匀脉动风场模拟[J]. 工程力学, 2019, 36(2): 205-214.
Song Y P, Chen J B, Peng Y B.Simulation of nonhomogeneous fluctuating wind field in one-dimensional space by evolutionary wavenumber-frequency joint power spectrum[J]. Engineering Mechanics, 2019, 36(2): 205-214.
[15] Peng L L, Huang G Q, Chen X Z, et al.Simulation of multivariate nonstationary random processes: hybrid stochastic wave and proper orthogonal decomposition approach[J]. Journal of Engineering Mechanics, 2017, 143(9): 04017064.
[16] YANG X J, LEI Y, LIU L J, et al.Simulation of nonstationary wind in one-spatial dimension with time-varying coherence by wavenumber-frequency spectrum and application to transmission line[J]. Structural engineering and mechanics, 2020, 75(4) : 425-434.
[16] Yang X J, Lei Y, Liu L J, et al.Simulation of nonstationary wind in one-spatial dimension with time-varying coherence by wavenumber-frequency spectrum and application to transmission line[J]. Structural Engineering and Mechanics, 2020, 75(4): 425-434.
[17] Deodatis G, Shinozuka M.Simulation of seismic ground motion using stochastic waves[J]. Journal of Engineering Mechanics, 1989, 115(12): 2723-2737.
[18] Tao T Y, Wang H, Kareem A.Reduced-Hermite bifold-interpolation assisted schemes for the simulation of random wind field[J]. Probabilistic Engineering Mechanics, 2018, 53: 126-142.
[19] Li J H, Li C X, He L, et al.Extended modulating functions for simulation of wind velocities with weak and strong nonstationarity[J]. Renewable Energy, 2015, 83: 384-397.
[20] Zhao N, Huang G Q.Fast simulation of multivariate nonstationary process and its application to extreme winds[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2017, 170: 118-127.
[21] Huang G Q.An efficient simulation approach for multivariate nonstationary process: Hybrid of wavelet and spectral representation method[J]. Probabilistic Engineering Mechanics, 2014, 37: 74-83.
[22] Li C X, Chen L, Cao L Y.High-efficiency simulation of nonstationary wind velocity using diagonal POD of decomposed time-frequency interpolation node spectrum matrices[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2023, 233: 105314.