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Traditional methods used for the analysis and design of power systems, like power flow studies (PFS), do not consider any uncertainties. For example, when there is a high penetration of wind power plants (WPPs), whose raw material is intermittent. In this paper is proposed a graphical probabilistic representation (GPR) based on multi-objective performance index (MPI) to assess the impact of the WPPs penetration in power systems. This representation is applied to the southeastern network of Mexico, where there is increasing penetration of WPPs. Besides, a comparative study is presented, with and without a static var compensator (SVC) device connected to the mentioned network, to evaluate the effects of shunt compensation in the point of common coupling (PCC) with WPPs. The results of this comparison are discussed using the GPR proposed. The results show that GPR can be utilized as a useful tool to represent a considerable amount of information in a clear, compact, and single visual representation.

In this paper, the temporal energetic complementarity between solar and wind resources for Mexico is presented. Energetic complementarity studies are useful to assess the feasibility for the combined use of two or more renewable energy sources with high variability, over a specific interval of time, and help to identify potential sites for the installation of new generation systems. The energetic complementarity study carried out in this research is based on the Pearson correlation coefficient. This coefficient lets to know the correlation between the solar and wind resources, and with the obtained results new maps are generated showing the monthly and annual energetic complementarity in the country. Besides, for practical use of the presented maps in the analysis the natural protected areas of the country, the orography, and the location of the transmission system are included. Also, a comparison between the results obtained and the sites where have been already installed generation systems based on solar and wind energy is presented. The obtained results show that Mexico has many sites with great energetic complementarity, some of them are being exploited, but still, there are sites from the center to the north of the country which have not been exploited and where renewable energy generation systems can be developed.