Distributed algorithms for resource allocation in cyber-physical energy systems with uniform/nonuniform communication delays

Abstract

As the communication delays in cyber-physical energy systems are considered, the distributed optimal resource allocation problem has not been well studied. In this paper, distributed algorithms are proposed to solve this problem and the effects of communication delays are analyzed. Firstly, as the uniform and nonuniform communication delays in cyber-physical energy system are taken into account, two distributed resource allocation (RA) algorithms are proposed respectively. By using the eigenvalue perturbation theory and the Generalized Nyquist Criterion, the impacts of time delays on the distributed algorithms are strictly analyzed and the maximum allowable delay bounds are derived. Then, as the generation capacity constraints are further considered, the distributed iterative method based on the unconstrained RA solutions is presented. Finally, several simulation studies are carried out to validate the theoretical results.