R.R. Negenborn, G. Hug-Glanzmann, B. De Schutter, and G. Andersson, "A novel coordination strategy for multi-agent control using overlapping subnetworks with application to power systems," in Efficient Modeling and Control of Large-Scale Systems (J. Mohammadpour and K.M. Grigoriadis, eds.), New York, New York: Springer, ISBN 978-1-4419-5756-6, pp. 251-278, 2010.
Power networks are huge interconnected systems controlled by a large number of different control authorities. As the nature of power networks is evolving from a hierarchically structured system toward a much more decentralized system, the need to adequately control the power flows over the network using distributed control strategies increases. Currently available distributed control methods assume that the various subnetworks that individual control agents, i.e., the control authorities, control are usually touching, in the sense that the border of one subnetwork is at the same time also the border of a neighboring subnetwork. Such touching networks, however, do not necessarily capture the subnetwork that an agent can influence in the best way. To capture in the best way the subnetwork that an agent can influence overlapping subnetworks will usually have to be defined. In this chapter, we propose a strategy for coordinating multiple control agents that control overlapping subnetworks in a network. Simulations are carried out on an adjusted IEEE 57-bus power network in which the controlled entities are Flexible Alternating Current Transmission Systems (FACTS) and the objective is to improve system security.