Effective simulation of stochastic fluctuating wind field of transmission tower-line system based on interpolation and dimension reduction method

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (9) : 77-83.

YANG Xiongjun, HUANG Jinshan, ZHANG Jianguo, LEI Ying

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Abstract

Here, effective simulation of stochastic fluctuating wind field of transmission tower-line system was investigated.For the transmission tower, only downwind and crosswind fluctuating winds were considered and simplified as two independent 1-D wind fields.For transmission lines, fluctuating winds in cross and vertical directions were considered and simulated as correlated 2-D fluctuating wind fields.Hermite interpolation was used to fit the objective function, and reduce computation amount of Cholesky decomposition of power spectral matrix in the traditional harmonic superposition method.Fast Fourier transform (FFT) technique was also adopted to accelerate the superposition of triangular series.In addition, the spectral representation method of orthogonal random variables was used to express a random function as an orthogonal function with 2 elementary random variables in form of polynomials.Compared with other existing approaches, the number of representative time histories of generated random processes needed after dimension reduction of random variables could be less.Finally, numerical examples verified the high efficiency of the proposed simulation method.

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fluctuating wind field / transmission tower-line system / Hermite interpolation / spectral representation / dimension reduction simulation

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YANG Xiongjun, HUANG Jinshan, ZHANG Jianguo, LEI Ying. Effective simulation of stochastic fluctuating wind field of transmission tower-line system based on interpolation and dimension reduction method[J]. Journal of Vibration and Shock, 2021, 40(9): 77-83

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