Exponential convergence under distributed averaging integral frequency control
Provides theoretical guarantees for a widely studied control method in power systems, but the analysis is incremental and builds on existing Lyapunov techniques.
The authors prove exponential convergence for distributed averaging integral frequency controllers in power networks using a strict Lyapunov function, and analyze how communication disruptions affect the convergence rate.
We investigate the performance and robustness of distributed averaging integral controllers used in the optimal frequency regulation of power networks. We construct a strict Lyapunov function that allows us to quantify the exponential convergence rate of the closed-loop system. As an application, we study the stability of the system in the presence of disruptions to the controllers' communication network, and investigate how the convergence rate is affected by these disruptions.