A study of function-based wind profiles based on least squares method: A case in the suburbs of Hohhot

Abstract

Since wind energy is a key source of clean energy in suburban areas where multiple energy sources complement each other, it is crucial to be able to accurately predict the inlet boundary of wind turbines in order to transform the efficiency of wind turbines. Therefore, in this paper, by setting up testing stations in the suburban area of Hohhot and collecting real-time data of wind speed and wind direction in different measurement heights for three years, and using the least squares method to estimate the parameters of the exponential law, logarithmic law, and composite function model, and conducting various goodness-of-fit tests, the optimal composite function is obtained as the wind profile form in the suburban area of the city, which is named as the Suburban Exponential of Wind profile (SE). And the inter-parameter analysis of this function, using linear regression statistical method to regress between parameters and parameters and between parameters and wind speed, summarize the physical significance of each parameter of this function. Respectively, parameter a is the ultimate wind speed under the vertical height of the region, parameter b is the reference height, parameter c and the roughness length z0 meet the linear relationship, and effectively reflect the influence of building dynamics roughness on the vertical distribution of wind speed, to make up for the shortcomings of the traditional wind profile formula, and provide a basis for accurate micro-siting of small wind turbines.