Scalable Control of Large-Scale DC Microgrids: A Novel Line-Independent and Mode-Related Scheme
提出一种可扩展控制策略，使大规模直流微电网中的分布式发电单元能即插即用，无需重新配置相邻控制器，通过自由权重矩阵和马尔可夫链实现稳定与参考电压跟踪。
This article proposes a novel scalable control strategy for large-scale direct current microgrids (LSDCmGs) consisting of multiple distributed generation units (DGUs). The objective is to facilitate real-time plug-and-play (PnP) functionality for DGUs, despite the presence of power transmission line coupling. In brief, the insertion or removal of DGUs does not require reconfiguration of adjacent controllers to maintain the stability of the entire LSDCmGs. To achieve this goal, a generalized free-weighting matrix technology is introduced. The strict assumptions previously made on Lyapunov matrices are ingeniously shifted to free-weighting matrices by this technology. As a result, scalable control is achieved and conservatism is reduced simultaneously. Moreover, the topological structure of LSDCmGs frequently undergoes changes due to external factors, equipment failures, and line issue. Markov chains are employed to accurately model these variations, providing a more realistic analysis of the microgrid's operational states. Additionally, by selecting a mode-related structured Lyapunov-Krasovskii function, sufficient criteria are derived to realize tracking of a given reference voltage in the LSDCmGs under PnP operation. Finally, the effectiveness of the proposed scalable strategy is validated through a case study involving the LSDCmGs with five DGUs.