Distributed control of small-scale power systems using noncooperative games

• This paper proposes an optimization model to minimize the load shedding in power systems.
• The developed methodology achieves a optimal power distribution in generators under new demand power condition.
• We have shown an optimal strategy of load shedding that considers the dynamics distribution of the power generation.

Distributed energy resources (DERs) coordination problems and load shedding in power systems can be modeled as a distributed resource allocation problem with physical constraints. The dynamic resource allocation problem can be approached using nonlinear methods based on population dynamics. This paper presents an optimization model to minimize the load curtailments needed to restore the equilibrium of the operating point when the system is in a fault condition (e.g., loss of generation). A mathematical model of the proposed strategy for the dispatch generation and an optimal load shedding algorithm are shown. The developed methodology minimizes the load cuts depending on the load relevance of each node of the system, and carrying out the power distribution of the generators under the new demand power condition using the replicator dynamics or the local replicator equation. This model can be used for the operation planning of electrical power systems with DERs. In order to illustrate our methodology, some simulations are performed using the IEEE 34 node test feeder in OpenDSS.