Distributed Consensus Control for Multi-Bus DCMGs Under Time-Varying Delays and Compound Noises

Distributed controls in DC microgrids (DCMGs) are susceptible to interference from fading channels within their communication networks. There is also a lack of effective control and consensus performance analysis under communication delays and noises. Therefore, this paper proposes a distributed consensus control to mitigate the adverse effect of time-varying delays and compound noises, enabling rapid average bus voltage regulation and accurate current sharing in a multi-bus DCMG operating under a directed and sparse communication graph. Firstly, we establish the stochastic delay differential equation (SDDE) of the controlled system. Based on stochastic stability theory and algebraic graph theory, the sufficient conditions achieving a mean-square strong consensus are then derived through consensus performance analysis. Subsequently, a quantitative assessment of parameter impact is introduced by solving a nonlinear constrained optimization problem using the established theorem and corollary. Finally, this research studies the impact of the consensus gains on the upper bound of delay, admissible noise intensity, and convergence rate. Comprehensive simulations validate the accuracy and effectiveness of the theoretical analysis. Comparison results demonstrate the superiority of the proposed control in terms of the capability of resisting time delays and noise interferences.