Regarding the influence of the Van der Hoven spectrum on wind energy applications in the meteorological mesoscale and microscale. (September 2015) - Escalante Soberanis, M.A.
Abstract: We demonstrate the use of high frequency data (HFD) to reproduce the power spectrum shown by Van der Hoven in 1957. His work represents the basis of wind energy standards such as averaging and variability in the frequency domain. Our results unveil discrepancies with Van der Hoven's approach, which can be related to constraints in the computing capabilities in the 1950's. We show a major eddy-energy peak at a period of 2 days and a smaller eddy-energy peak contribution at frequencies higher than the region known as the spectrum gap. The variance calculated by the area under the curve indicated that the spectral energy is mainly due to the Power Spectral Density (PSD) values located in the microscale region. We calculated the economic value of this energy based on the turbulence kinetic energy of the wind data set. We also conclude that, given the results of the present study, HFD analysis in the frequency domain uncover eddy energy peaks that determine energy fluctuations in the short and long terms. This information is lost every time data are erased from current monitoring systems. Highlights: We used high frequency data of wind speed to approximate their power spectral density. We reproduced the Van der Hoven spectrum and compared the original plot with ours. We associated the dynamic response of a wind turbine with the eddy-energy peak distribution in the same range of frequencies. We pointed out the importance of the dynamic response in the determination of the modified turbulence intensity. We calculated the monetary value of the turbulent portion of wind speed.