2016/07/26 by Johannes Schiffer, Florian Dörfler, Schiffer, Johannes +3
Engineering · #FOS: Mathematics #Frequency Control in Power Systems #Optimization and Control (math.OC) #Power System Optimization and Stability #Stability and Control of Uncertain Systems
paper · pdf · doi:10.48550/arxiv.1607.07743
openalex publication_date 2016/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Distributed averaging-based integral (DAI) controllers are becoming increasingly popular in power system applications. The literature has thus far primarily focused on disturbance rejection, steady-state optimality and adaption to complex physical system models without considering uncertainties on the cyber and communication layer nor their effect on robustness and performance. In this paper, we derive sufficient delay-dependent conditions for robust stability of a secondary-frequency-DAI-controlled power system with respect to heterogeneous communication delays, link failures and packet losses. Our analysis takes into account both constant as well as fast-varying delays, and it is based on a common strictly decreasing Lyapunov-Krasovskii functional. The conditions illustrate an inherent trade-off between robustness and performance of DAI controllers. The effectiveness and tightness of our stability certificates are illustrated via a numerical example based on Kundur's four-machine-two-area test system.