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The Smart Grid of the future will be created starting from Smart Microgrids. The modelling of Microgrids and the simulations of their real time steady state status is presented in the paper. The model is created using graphs. A Windows type application created based on the model is presented. This powerful tool can be used to evaluate the total loss when an electrical network has to be designed and it can be used to optimize the links between nodes and the storage dealt devices optimal placement and optimal power, too. From these operations result decreased losses (costs).