Designing an efficient distributed economic dispatch (DED) strategy for the smart grid (SG) in the presence of multiple generators plays a paramount role in obtaining various benefits of a new generation power system, such as easy implementation, low maintenance cost, high energy efficiency, and strong robustness against uncertainties. It has drawn a lot of interest from a wide variety of scientific disciplines, including power engineering, control theory, and applied mathematics. We present a state-of-the-art review of some theoretical advances toward DED in the SG, with a focus on the literature published since 2015. We systematically review the recent results on this topic and subsequently categorize them into distributed discrete- and continuous-time economic dispatches of the SG in the presence of multiple generators. After reviewing the literature, we briefly present some future research directions in DED for the SG, including the distributed security economic dispatch of the SG, distributed fast economic dispatch in the SG with practical constraints, efficient initialization-free DED in the SG, DED in the SG in the presence of smart energy storage batteries and flexible loads, and DED in the SG with artificial intelligence technologies.

在有多个发电机的情况下为智能电网（SG）设计有效的分布式经济调度（DED）策略对于获得新一代电力系统的各种好处（如易于实施，维护成本低，能源效率高）至关重要。 ，并且对不确定性具有强大的鲁棒性。它引起了包括动力工程，控制理论和应用数学在内的各种科学学科的极大兴趣。我们对SG中有关DED的一些理论进展进行了最新的综述，重点是自2015年以来发表的文献。我们系统地回顾了有关该主题的最新结果，然后将其分为离散的和连续的多个发电机在场的SG的实时经济调度。