This work deals with a model for management of multiple uses of water, for the mitigation of conflicts of use related to the operation of reservoir systems in hydroelectric power plant of water catchment area. The model SOUMA – "system optimization of multiple uses of water", which consists of a stochastic optimization model based on nonlinear programming, was developed and structured in GAMS (General Algebraic Modeling System) with the use of solver MINOS. The SOUMA is composed of two modules. The first is a module for forecasting of water levels, which consists of a stochastic model of type ARIMA (Auto Regressive Integrated Moving Average). The second is a module for forecasting of streamflow, which is a stochastic model of rainfall-streamflow the RNA type. The ARIMA model calibration and validation presented average R² above 0.93 and RMSE below 0.08, capturing in a satisfactory manner the behavior of water levels. The rain-flow model that was used in the composition of influent flow to the reservoir, with the use of RNA architecture, presented average R² 0.954 and of 0.098 RMSE. The SOUMA model was applied to Tapajós River basin for the future hydroelectric power plant of São Luiz do Tapajós, Itaituba, PA. Six scenarios were created to be used as parameters in optimizing and mitigation of conflicts. The reservoir tributaries streamflow were obtained and simulated for dry, medium and moist hydrological scenarios and for El Niño, La Niña and Neutral climatic scenarios. For the power generation and navigation depth uses, considering the tributaries streamflow of the dry, medium and moist hydrological scenarios, the SOUMA showed, in relation to the reference levels of the low, medium and high navigation scenarios, the occurrence of depths below the minimum, for generations averages below 2,411 MW, 2,939 MW and 3,586 MW, respectively. For power generation and cargo capacity, considering the tributaries streamflow of the dry, medium and moist hydrological scenarios, the SOUMA showed, in relation to the low, medium and high reference levels of the navigation scenarios, that generations averages above 2,869 MW, 3,508 MW and 4,740 MW, respectively, do not generate earnings of cargo capacity and that medium generations below 1,344 MW, 2,056 MW and 1,622 MW, respectively, make the river transport of cargo infeasible. For power generation and flood dimension, considering the tributaries streamflow of the dry, medium and moist hydrological scenarios, the SOUMA showed, in relation the reference levels low, medium and high of the flood control, the occurrence of floods downstream to generations above average 4,978 MW, 6,057 MW and 7,390 MW, respectively. Consumptive withdrawals are meaningful only in the period from June to October. Considering the monthly average consumptive demands (145 m ³/s), to tributaries streamflow of the dry, medium and moist hydrological scenarios, the SOUMA showed a monthly loss in power generation of 50 MW, 47 MW and 44 MW, respectively. The measured results show that the models developed are important tools to operational optimization of reservoir systems with multiple uses, allowing the optimization of generations and defluente flow in the hydroelectric power plant of water catchment area, in periods of flood and drought and large energy demands, with maintenance of navigation conditions downstream from dams, through sustainable operational simulations that minimize usage conflicts.
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