Abstract:In this paper, five probability distribution functions are employed to fit the wind speed data from four different geographical locations in the world in a preliminary analysis. These wind regimes are selected such that they represent wide ranges of mean wind speeds and present different shapes of wind speed histograms. The wind speed data used for modelling consist of 10-min average SCADA data from three US wind farms and hourly averages recorded at a weather station in Canada. Out of the five, three functions, namely Weibull, Rayleigh, and gamma, which provide a better fit to the data, are selected to carry out further analyses. This study investigates the ability of these functions to match different statistical descriptions of wind regimes. Parameter estimation is done by the method of moments, and models are evaluated by root mean square error and R square methods. The suitability of PDFs to predict the wind power densities and annual energy production using manufacturers' power curve data at three of the selected sites is analysed.Power curves extracted from actual data of one wind farm using novel four-and five-parameter logistic approximations are also introduced here for energy analyses.

The aim of this study is to design renewable energy based hybrid standalone systems to supply two rural and one urban sites of Madhya Pradesh state in India. These locations characterize different load profiles and wind and solar resources. The wind speed data measured at these sites and solar radiation data obtained from NASA are utilized to carry out theanalyses of these systems using HOMER Pro. These systems are designed to cater for domestic electricity demand of one rural site, domestic and agricultural demand of another rural site and residential load demand of staff quarters of an urban institution. The pattern of power consumption of the loads considered for these sites is suitably modelled and different combinations of hybrid systems are simulated to identify the optimal system based on least life cycle cost. Results show that the most economically feasible system to supply the load demand of the three sites is comprised of different combinations of renewable energy sources viz. only wind, wind- solar and only solar based systems. Each design also includes diesel generator back up and battery storage to ensure reliability of power supply and a converter to maintain the energy flow between ac and dc components.

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