Global Synchronization Analysis of Droop-Controlled Microgrids: A Multivariable Cell Structure Approach

International audienceThe microgrid concept represents a promising approach to facilitate the large-scale integration of renewable energy sources. Motivated by this, the problem of global synchronization in droop-controlled microgrids with radial topology is considered. To this end, at rst a necessary and sucient condition for existence of equilibria is established in terms of the droop gains and the network parameters. Then, the local stability properties of the equilibria are characterized. Subsequently, sucient conditions for almost global synchronization are derived by means of the multivariable cell structure approach recently proposed in [1]. The latter is an extension of the powerful cell structure principle developed by Leonov and Noldus to nonlinear systems that are periodic with respect to several state variables and possess multiple invariant solutions. The analysis is illustrated via numerical examples