This thesis work is developed with the aim of investigating how the introduction of storage systems can bring benefits for a power system with a high penetration of renewable production. Our first research question deals with the model of the grid: how can a power system be represented as a graph, taking into account its fundamental physical aspects and the main characteristics of its components?
The second goal is running a DC power ow to minimize an objective function. Given the load demand and the installed generation plants, which is the objective function that minimizes the daily operational costs, maintaining the supply-demand balance? Finally, we introduce some storage systems. Do they lead a better exploitation of the renewable production, in terms of reduction of curtailment and relief of transmission congestion? Having a set of devices, which is their best siting?
This thesis consists in two main parts: the topological representation of a power system as a graph and the simulation of a DC power flow above it. In the first part, the grid used as test case is topologically represented as a weighted graph, by describing four kinds of node and assigning the
main line characteristics to the edges; load demand and renewable profiles are defined deterministically over a 24-hour horizon and with a quarterly resolution. Then, a DC power flow is run above all the grid, with the aim of minimizing the daily costs of production. At the beginning, in case of surplus of available renewable power, the model takes into account only the possibility of curtailment, while, at a later stage, some storage systems are added, following different policies. Both goals are reached by means of a new developed program, which solves a linear programming problem, where the variables involved are subjected to constrains