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Multi-Level Economic Power Dispatch in Power Networks

A multi-level algorithm is proposed for the economic power dispatch problem in power networks. The network is partitioned into groups where there is a group controller in each group. A multi-level algorithm is proposed, in which optimization problems are formulated for the level of nodes and for the level of groups respectively. The optimization problem at the level of nodes is solved in a centralized way and the one at the level of groups is solved in a distributed way. At the level of the groups, because the number of the groups is smaller than that of the nodes, the multi-level algorithm is more efficient to obtain the optimal solution than pure distributed methods. At the level of the nodes, because the nodes are less than those in the network, the overheads in the communication and the computations are reduced compared to pure centralized methods. It is proven that the multi-level algorithm is asymptotic stable with convergence to the optimal solution of the economic power dispatch problem. Case study is performed to evaluate the performance of the multi-level algorithm.