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Open AccessArticle

Frequency Distribution Model of Wind Speed Based on the Exponential Polynomial for Wind Farms

by Lingzhi Wang 1,2,3,*, Jun Liu 2 and Fucai Qian 2,4
1
School of Automation, Xi’an University of Posts and Telecommunications, Xi’an 710121, China
2
School of Automation and Information, Xi’an University of Technology, Xi’an 710048, China
3
Shaanxi Key Laboratory of Complex System Control and Intelligent Information, Xi’an 710048, China
4
Autonomous Systems and Intelligent Control International Joint Research Center, Xi’an Technological University, Xi’an 710021, China
*
Author to whom correspondence should be addressed.
Sustainability 2019, 11(3), 665; https://doi.org/10.3390/su11030665
Received: 9 January 2019 / Revised: 15 January 2019 / Accepted: 19 January 2019 / Published: 28 January 2019
(This article belongs to the Collection Power System and Sustainability)
This study introduces and analyses existing models of wind speed frequency distribution in wind farms, such as the Weibull distribution model, the Rayleigh distribution model, and the lognormal distribution model. Inspired by the shortcomings of these models, we propose a distribution model based on an exponential polynomial, which can describe the actual wind speed frequency distribution. The fitting error of other common distribution models is too large at zero or low wind speeds. The proposed model can solve this problem. The exponential polynomial distribution model can fit multimodal distribution wind speed data as well as unimodal distribution wind speed data. We used the linear-least-squares method to acquire the parameters for the distribution model. Finally, we carried out contrast simulation experiments to validate the effectiveness and advantages of the proposed distribution model. View Full-Text
Keywords: wind farms; wind speed frequency distribution; exponential polynomial model; linear-least-squares method wind farms; wind speed frequency distribution; exponential polynomial model; linear-least-squares method
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Wang, L.; Liu, J.; Qian, F. Frequency Distribution Model of Wind Speed Based on the Exponential Polynomial for Wind Farms. Sustainability 2019, 11, 665.

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