STUDY OF THE PROPERTIES OF THE CUMULATIVE ENERGY FUNCTIONS Э (V)

Abstract

To analyze the performance of wind turbines, it is important to define the relationship between the power of the air stream at a given value of the estimated wind speed Vp and energy that accumulates by the air jet when changing wind speed as 0 ≤ ≤ V V ∞ p . This relationship is revealed through the analysis of the function value of the cumulative  energy. This function is a definite integral with variable upper limit, which is equal to the speed Vp . At wind speed V V p = max integral of the cumulative energy takes a maximum value equal to the value of the wind energy potential. In the data analysis process of weather stations, meteorologists traditionally neglected by the small values of empirical probability density functions at high wind speeds. By the analysis of the cumulative energy function it is possible to determine the admissibility of such operation for reliability under the assessment of wind potential. As a result of statistical processing of wind speed measurements at meteorological stations of Sakhalin Island properties of empirical functions of cumulative wind power have been identified and the potential to increase the annual output of wind turbines have been determined. Modern wind turbines use a maximum of 50-70 % of the wind energy potential. Important for wind energy conclusion follows from the submissions. If the design of wind turbine is determined by the design speed of the wind Vp ≈ 20 m/s, then areas with annual wind speed VG ≤ 6 m/s the wind turbine will use up to 95% of wind power potential.