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As an important form of renewable energy utilization, microgrid (MG) is considered to be the main bearing form of distributed generation in the future. One of the most concerning issues in the operation of MG is how to realize its economic dispatch (ED). Nowadays, distributed algorithms have been increasingly used to solve the economic dispatch problem of MG. However, the MG based on the distributed optimization architecture must bear higher cyber‐attack risks. To address this issue, this paper investigates the distributed robust ED problem of MG. Firstly, a multi‐objective dispatch model of MG using a linear weighted sum (LWS) algorithm is developed, which considers the environmental and economic costs. On this basis, an event‐triggered fully distributed algorithm is proposed, which can effectively reduce communication times. Furthermore, an attack resilient strategy against false data injection (FDI) attacks is implemented in the proposed fully distributed algorithm, which has strong robustness against various colluding attacks and non‐colluding attacks, and can eliminate incorrect measurement of incremental cost and power generation data. Finally, the effectiveness of the proposed distributed control strategy is demonstrated through case studies in this paper. [ABSTRACT FROM AUTHOR]

As environmental protection greatly influences the social development, for the multi-energy systems (MES) equipped with a cluster of energy devices, the economic dispatch (ED) problem should not only be considered but also the environmental protection problem should be considered in energy utilization. To address this issue, a multi-objective dispatch model of MES using a linear weighted sum algorithm (LWS) is developed in this paper, which considers the environmental and economic costs. On this basis, a fully distributed algorithm with the coupled control mechanism of power and heat is presented to realize coordination optimization between the environmental and economic benefits. Furthermore, an event-triggered communication strategy is implemented in the fully distributed algorithm, which can be effectively applied to the multi-objective dispatch model, to reduce the communication burden. Finally, the simulation results verify the effectiveness of the proposed distributed control strategy. • A multi-objective dispatch model of MES using a LWS algorithm is given. • The coupled control mechanism based on the consensus protocol is proposed. • An event-triggered strategy is implemented in the fully distributed algorithm. [ABSTRACT FROM AUTHOR]