Distributed economic dispatch via a predictive scheme: Heterogeneous delays and privacy preservation. (January 2021)

• Record Type: Journal Article
• Authors: Chen, Fei; Chen, Xiaozheng; Xiang, Linying; Ren, Wei
• Is Part Of: Automatica. Volume 123(2021)
• Publication Date: 2021-01
• Subjects: Economic dispatch -- Heterogeneous time-delay -- Privacy preservation -- Predictive control -- Smart grid; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2020.109356
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper studies distributed economic dispatch problems for smart grids, in which a quadratic generation cost is to be minimized over a feasible set that is determined jointly by an equality constraint and a box constraint. Our primary objective is to seek a distributed design that can handle heterogeneous time-delays, while preserving agents' privacy—a fundamental prerequisite that has become gradually important for cyber–physical systems. For this purpose, we design a state predictor for each agent to compensate for the effect of heterogeneous time-delays, which allows the agents to predict the missing states between two consecutive update times. Based upon the predictor, we present a distributed gradient-descent algorithm to locally update the outputs of the generators, which guarantees that the optimal solution is attained in an asymptotic manner. Among other things, we incorporate a privacy preservation scheme to the proposed algorithm in order to preserve agents' privacy and delicately characterize its convergence, differential privacy properties, as well as accuracy.