Abstract
The economic dispatch problem (EDP) is a significant class of optimization issues in the power system, which works on minimizing the total cost when generating a certain amount of power. A novel distributed approach for EDP is proposed in this paper. The presented approach consists of two steps. The first step, named absorption search, is to simplify the network structure through absorption searching. A flooding-based consensus approach is applied in the first step, which can be used to achieve consensus information among nodes. After the first step, only the generation nodes are kept in the network. The data collection can be completed by local computation and communication between neighbors. The first step can be considered as the stage of gathering information. In the second step, a distributed half-search algorithm makes the nodes obtain the final optimal solution in a distributed way. The results on three case studies demonstrate that the proposed approach is highly effective for solving the EDP.
Highlights
For power generation, smart grids exploit intelligent controls and developed technology to control the power generation combination composed of renewable resources [1]
The stochastic Q associated with G denotes the n × n matrix consisting of the elements qij, and we assume that it is feasible for each monomer i to update its subjective probability distribution from Φ(t) to Φ(t + 1)
Based on the above mentioned theorems, we can draw a conclusion: the system (shown as in Equation (2)) state of each monomer i can converge to a stable value, and the convergence performance is determined by the initial value Φ(0) and the strongly connected topology Q
Summary
Smart grids exploit intelligent controls and developed technology to control the power generation combination composed of renewable resources [1]. With many distributed generators (DG) entering the network and diversified user needs, centralized algorithms are having more and more difficulty with economic dispatch problems [29] Another important reason is that the centralized approach does not adapt to the plug-and-play characteristics of modern smart grids. The authors of [36] proposed a distributed algorithm based on consensus-like iterative, and adopted bisection search approach to obtain optimal incremental cost parameter in distributed way. The authors of [38] proposed an optimization algorithm based on auction techniques and consensus protocols to solve EDP with non-convex cost function. In view of the merits of distributed algorithm, this paper proposes a distributed approach to solve economic dispatch problem for smart grids.
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