The self-adaptive alternating direction method for the multiarea economic dispatch problem

Authors: YAMING REN, SHUMIN FEI, HAIKUN WEI

Abstract: The alternating direction method has been used widely in the power systems field for solving the multiarea dispatch problem. However, experience with applications has shown that the convergence rate of the alternating direction method depends significantly on the selection of the penalty parameter of the linear consistency constraint. Typically, it is difficult to obtain the optimal penalty parameter in advance. In this paper, for the purpose of solving this problem, we propose centralized and distributed self-adaptive penalty parameter strategies that allow the value of the penalty parameter to increase or decrease based on the information from each iteration. Simulation results illustrate that the proposed centralized and distributed self-adaptive methods are superior to the traditional alternating direction method in terms of robustness and convergence rate.

Keywords: Multiarea economic dispatch, alternating direction method, variational inequality, self-adaptive

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