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A solution strategy for distributed uncertain economic dispatch problems via scenario theory

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Abstract

In this paper, an uncertain economic dispatch problem (EDP) is considered for a group of coopertive agents. First, let each agent extract a set of samples (scenarios) from the uncertain set, and then a scenario EDP is obtained using these scenarios. Based on the scenario theory, a prior certification is provided to evaluate the probabilistic feasibility of the scenario solution for uncertain EDP. To facilitate the computational task, a distributed solution strategy is proposed by the alternating direction method of multipliers (ADMM) and a finite-time consensus strategy. Moreover, the distributed strategy can solve the scenario problem over a weight-balanced directed graph. Finally, the proposed solution strategy is applied to an EDP for a power system involving wind power plants.

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Correspondence to Peng Li.

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Li, P., Hu, J. A solution strategy for distributed uncertain economic dispatch problems via scenario theory. Control Theory Technol. 19, 499–506 (2021). https://doi.org/10.1007/s11768-021-00068-6

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  • DOI: https://doi.org/10.1007/s11768-021-00068-6

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