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

Autor: Fucai Qian, Jun Liu, Lingzhi Wang
Rok vydání: 2019
Předmět:
Distribution (number theory)
020209 energy
lcsh:TJ807-830
Geography
Planning and Development

lcsh:Renewable energy sources
02 engineering and technology
010501 environmental sciences
Management
Monitoring
Policy and Law

01 natural sciences
Exponential polynomial
Wind speed
exponential polynomial model
0202 electrical engineering
electronic engineering
information engineering

Applied mathematics
lcsh:Environmental sciences
0105 earth and related environmental sciences
Weibull distribution
Mathematics
lcsh:GE1-350
Renewable Energy
Sustainability and the Environment

Rayleigh distribution
lcsh:Environmental effects of industries and plants
wind speed frequency distribution
Contrast (statistics)
Multimodal distribution
wind farms
linear-least-squares method
lcsh:TD194-195
Log-normal distribution
Zdroj: Sustainability, Vol 11, Iss 3, p 665 (2019)
Sustainability
Volume 11
Issue 3
ISSN: 2071-1050
DOI: 10.3390/su11030665
Popis: 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.
Databáze: OpenAIRE