Statistical Analyses of Wind and Solar Energy Resources for the Development of Hybrid Microgrid

In this paper, a procedure for the statistical analyses of wind and solar energy resources are investigated in order to determine the accurate frequency distribution for the development of hybrid microgrid. The frequency distributions used for wind speed data analysis include Weibull, Rayleigh and Gamma distribution functions. On the other hand the frequency distributions used for the analysis of solar radiation data include Weibull, Logistics, lognormal, Beta and Gamma functions. The performance of the probability distributions used in the wind speed analyses are based on the error evaluations between the predicted and the theoretical wind power densities of the site. Similarly, the performance of the probability distribution functions used in the solar radiation data were judged based on Kolmogorov-Smirnov, Anderson-Darling and Chi-Square tests. The goodness of fit tests (GOF) results of the wind speed analyses show that Weibull distribution performed better compared to Rayleigh and Gamma distributions. On the other hand Beta distribution fitted the solar radiation data better than all other distributions models.