Concern about environmental preservation and sustainability, which is increa-singly present in all aspects of life currently, leads to the growth of a search for sources of energy that are clean, renewable and minimally aggressive for the environment. Within this framework, pumped storage power plants - PSPP - return once again as an alternative to energy matrices by producing incomparably cleaner and more rational energy than sources such as thermoelectric, widely used in the regulation of energy consumption peaks. However, due to its peculiar operation, with short and frequent cycles of filling and lowering of the water level of its lakes, the designs of PSPP reservoirs are not entirely covered by the usual Brazilian guidelines for design of hydroelectric plants, lacking appropriate guidance for the treatment of the margins from such reservoirs, whose destabilization can lead to very inconvenient economic and environmental issues. Regardful of this problem, this study presents a summary of the main methods of analysis of stability of slopes subjected to rapid drawdown and identifies the potentialities and limitations of the limit equilibrium methods and numerical methods usually used, especially for the case of PSPP. Slope stabilizations solutions for reservoir banks subjected to rapid drawdowns were presented. The case of the ruptures along the Santa Branca hydroelectric power plant reservoir is presented to illustrate the severity of the problem and has helped to identify the limitations for the effective application of these methods. The conclusion of this study is that feasibility studies and hydropower plant design should be improved in order to include more up-to-date methods of analysis of slope stability under rapid drawdown condition, especially for marginal slopes, which stability conditions the operation of PSPPs, foreseeing the possible introduction of this solution in the Brazilian energy matrix. Finally, this work presents recommendations for the improvement of feasibility studies for the implementation of PSPPs, considering the content of Brazilian guidelines.