The economic dispatch problem of a smart grid under vicious denial of service (DoS) is the main focus of this paper. Taking the actual situation of power generation as a starting point, a new distributed optimization model is established which takes the environmental pollution penalty into account. For saving the limited bandwidth, a novel distributed event-triggered scheme is proposed to keep the resilience and economy of a class of cyber-power systems when the communication network is subject to malicious DoS attack. Then an improved multi-agent consensus protocol based on the gradient descent idea is designed to solve the minimization problem, and the prerequisites to minimize the system power generation cost are analyzed from the aspects of optimality and stability. Finally, the theoretical results are verified through a single-area 10-generator unit simulation.

恶意拒绝服务（DoS）下的智能电网的经济调度问题是本文的重点。以发电的实际情况为出发点，建立了考虑环境污染代价的新型分布式优化模型。为了节省有限的带宽，提出了一种新颖的分布式事件触发方案，以在通信网络遭受恶意DoS攻击时保持一类电子电力系统的弹性和经济性。然后设计了一种基于梯度下降思想的改进的多智能体共识协议来解决最小化问题，并从最优性和稳定性的角度分析了最小化系统发电成本的前提。最后，