This paper investigates the impact of communication packet loss on Distributed Optimal Frequency Control (DOFC) in Alternating Current (AC) electric energy systems, populated with multiple clusters of hybrid producer–consumer (prosumer) agents. The paper first establishes rigorous relationships between the communication packet delivery ratio and the convergence rate of the proposed DOFC algorithm. This provides a foundation for resource allocation on communication systems to enhance the convergence speed of distributed optimization and control algorithms, such as DOFC, under noisy and disrupted communication systems. The paper develops a systematic approach to identify the best possible convergence rate over all possible algorithms, by introducing an algorithm that can achieve asymptotically the Cramér-Rao (CR) lower bound. This fundamental result links the information contents of data to the best possible mean-square estimation error. Simulation studies on an electric energy system validate the theoretical results.

本文研究了通信数据包丢失对交流电 (AC) 电能系统中分布式最优频率控制 (DOFC) 的影响，该系统由多个混合生产者-消费者（产消者）代理集群组成。本文首先在通信数据包传递率和所提出的 DOFC 算法的收敛速度之间建立了严格的关系。这为通信系统的资源分配提供了基础，以提高分布式优化和控制算法（例如 DOFC）在嘈杂和中断的通信系统下的收敛速度。本文通过引入一种可以渐进地达到 Cramér-Rao (CR) 下界的算法，开发了一种系统方法来确定所有可能算法的最佳收敛速度。这一基本结果将数据的信息内容与最佳均方估计误差联系起来。电能系统的仿真研究验证了理论结果。