This book describes a hybrid energy system that produces electricity from different types of renewable energy sources, which brings us even closer to establish sustainable energy development and at the same moment offers a huge opportunity to meet the future global energy demand and requirements. The aim of this work is to provide stable and undisruptive electricity supply. The mathematical models were used, so that this module could perform properly without errors. To obtain the accurate figures and information and have correct energy potential data of this region in our hands, besides mathematical formula, different algorithms were also applied. Additionally, have been applied the probabilistic and statistical techniques and algorithms of simulation solar radiation, methods of selection of actinometrical data, specification of time structure of solar radiation domain, and wavelet analysis methods to forecast.The gathered correct data about available amount of natural resources and then by applying all that information into the mathematical models and algorithms enable to indicate the amount of electricity could be produced by hybrid systems for households and commercial needs.