Containment-Based Multiple PCC Voltage Regulation Strategy for Communication Link and Sensor Faults

The distributed AC microgrid(MG) voltage restoration problem has been extensively studied. Still, many existing secondary voltage control strategies neglect the co-regulation of the voltage at the point of common coupling(PCC) in the AC multi-MG system(MMS). When an MMS consists of sub-MGs connected in series, power flow between the sub-MGs is not possible if the PCC voltage regulation relies on traditional consensus control objectives. In addition, communication faults and sensor faults are inevitable in the MMS. Therefore, a resilient voltage regulation strategy based on containment control is proposed.First, the feedback linearization technique allows us to deal with the nonlinear distributed generation(DG) dynamics, where the PCC regulation problem of an AC MG is transformed into an output feedback tracking problem for a linear multi-agent system(MAS) containing nonlinear dynamics. This process is an indispensable pre-processing in control algorithm design. Moreover, considering the unavailability of full-state measurements and the potential faults present in the sensors, a novel follower observer is designed to handle communication faults. Based on this, a controller based on containment control is designed to achieve voltage regulation. In regulating multiple PCC voltages to a reasonable upper and lower limit, a voltage difference exists between sub-MGs to achieve power flow. In addition, the secondary control algorithm avoids using global information of directed communication network and fault boundaries for communication link and sensor faults. Finally, the simulation results verify the performance of the proposed strategy.

Adaptive Event-Triggering Consensus for Multi-Agent Systems with Linear Time-Varying Dynamics

In this paper,the authors study the fully distributed event-triggering consensus problem for multi-agent systems with linear time-varying dynamics,where each agent is described by a linear time-varying system.An adaptive event-triggering protocol is proposed for time-varying multi-agent systems under directed graph.Based on the Gramian matrix of linear time-varying systems,the design of control gain is done and sufficient conditions ensuring the consensus of linear time-varying multiagent systems are obtained.It is shown that the coupling strength is closely related to the triggering condition.When it comes to undirected graph,it is shown that the coupling strength is independent on the triggering condition and thus the design procedure is of more freedom than the directed case.In addition,it is also proved that Zeno behaviours can be excluded in the proposed protocols.A numerical example is presented to demonstrate the effectiveness of the theoretical results.