With a large number of renewable energy and storage facilities centralized or distributed accessible to the grid, the supply pressure of the power grid is eased, but at the same time, a new threat to the safety of power systems arises.Rational use of new energy and storage facilities to better serve the grid is an urgent problem for the modern grid.In this paper, a study on smart grid with the integration of renewable energy and storage equipments is made. According to the complex situation of renewable energy, they are first diviede two categories:one is private renewable energy and the other is public renewable energy.Private renewable energy can be used for users directly, and the excess part will be put into the grid.However,public renewable energy will be put into the griddirectly.Then, aiming at the above complex situation, combining with the actual demand of the user, an optimized strategy of rational use of renewable energy and storage equipment is given based on the maximization of users' utility and the minimization of users' cost. The properties of the model are also studied. Considering that the model is a convex programming and strong duality is founded, the solution of the model is given by Lagrangian dual algorithm. In the process of solving, because the objective function is non-smooth, the smoothing method is used to smooth the objective function,which transforms the optimal value of the non-smooth function into that of the smoothing function,and then the problem is further solved by the quasi-Newton method.This strategy not only gives priority to the use of renewable energy but also makes the most of it while maximizing users utility and minimizing cost.This strategy also avoids instability of grid caused by renewable energy, and the method of smoothing is applicable not only to this article, but also to the case where the objective functions are not differentiable.Simulation results verify the rationality of the model and the feasibility of the algorithm.
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