| Summary: | We address the distributed energy management problem of the economic dispatch of grids in order to balance the power demand and supply. By manipulating the primal problem, we show that the resulting dual problem can be solved by using a decentralized linearized alternating direction method of multipliers. As consequence, in this paper, we propose an optimization based algorithm that enjoys the advantages of both the primal and the dual domain methods. Contrary to the Alternating Direction Method of Multipliers (ADMM), the proposed algorithm exhibits a lower computational cost not requiring at each main step iteration an explicit resolution of a local optimization problem. Moreover, we show through computer simulations that for the IEEE 14-bus and the IEEE 39-bus distribution test system the proposed algorithm achieves a significantly higher convergence rate when compared with recent approaches in the literature to solve the proposed economic dispatch problem.
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