Application of Wind Speed Self-similarity and Fractal Dimension in Wind Field Analysis

Journal of Chinese Society of Power Engineering ›› 2016, Vol. 36 ›› Issue (11) : 914-919.

LI Qianqian¹, LI Chun^1,2, YANG Yang¹

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The fractal theory was applied to turbulent wind field analysis by studying the self-similarity and fractal dimension of the wind speed time sequence, so as to overcome the blindness in selecting the turbulent wind spectrum model from the following two aspects:the local-global relations and the fractal dimension of the wind speed time sequence. Taking the wind speed time sequence of a wind field as the sample data, different wind speed time sequence curves were obtained respectively with Kaimal, Von Karman, SMOOTH and NWTCUP turbulent wind spectrum model, and its self-similarity was then verified with Hurst exponents while the fractal dimension was calculated using box counting method. Results show that different turbulent wind spectrum models have different fractal dimensions, which can be described in a quantitative way; the internal fluctuation of wind speed time sequence is not random, but a long-term correlated process with self-similarity; the fractal dimension is related to the reference wind speed.

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fractal dimension / turbulent wind spectrum model / wind field / box counting method / self-similarity

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LI Qianqian, LI Chun, YANG Yang. Application of Wind Speed Self-similarity and Fractal Dimension in Wind Field Analysis. Journal of Chinese Society of Power Engineering. 2016, 36(11): 914-919

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Received	Revised	Published
2015-09-23	2016-03-05	2016-11-15
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2016-11-15

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