A Distributed Cooperative Control for Islanded DC Microgrids Incorporating Time Delays

This manuscript proposes a novel distributed cooperative control to optimize generation costs in DC microgrids, with consideration of time delays. Artstein's reduction method is employed to transform the time-delay system into an equivalent delay-free model. Building on this, a finite-time distributed control algorithm is introduced to minimize generation cost by aligning the incremental costs of distributed generation units (DGUs) within an accelerated convergence timeframe, while respecting both the capacity limits of DGUs and the transmission line losses. Additionally, a distributed control approach is developed to ensure finite-time voltage stability, balancing generation and consumption across the microgrid. A key feature of the proposed control approach is incorporating a prescribed performance function, ensuring that the system's transient and steady-state responses consistently meet the required performance criteria. This ensures enhanced reliability and operational effectiveness of the system. The superiority and robustness of the proposed strategy are demonstrated through extensive simulation case studies.