Exponential convergence under distributed averaging integral frequency control

TL;DR

This paper analyzes the exponential convergence and robustness of distributed averaging integral controllers in power networks, providing a Lyapunov-based method to quantify convergence rates and assess stability under communication disruptions.

Contribution

It introduces a Lyapunov function to quantify exponential convergence and studies the impact of communication disruptions on stability and convergence rate.

Findings

Exponential convergence rate can be explicitly quantified.

Communication disruptions affect the stability and convergence rate.

The proposed Lyapunov function aids in robustness analysis.

Abstract

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.