Distributed PI-Control with Applications to Power Systems Frequency Control

TL;DR

This paper introduces a distributed PI-controller for networked systems, demonstrating its ability to stabilize power system frequencies and maintain load sharing, with proven stability criteria and successful simulation results.

Contribution

It presents new stability conditions for distributed PI-controllers and applies them to power system frequency regulation, ensuring convergence and load sharing.

Findings

Controller stabilizes power system frequency.

Frequencies converge to nominal values.

Load sharing property is preserved.

Abstract

This paper considers a distributed PI-controller for networked dynamical systems. Sufficient conditions for when the controller is able to stabilize a general linear system and eliminate static control errors are presented. The proposed controller is applied to frequency control of power transmission systems. Sufficient stability criteria are derived, and it is shown that the controller parameters can always be chosen so that the frequencies in the closed loop converge to nominal operational frequency. We show that the load sharing property of the generators is maintained, i.e., the input power of the generators is proportional to a controller parameter. The controller is evaluated by simulation on the IEEE 30 bus test network, where its effectiveness is demonstrated.