Transient dynamics of heterogeneous micro grids using second order consensus

Abstract

This paper deals with a network of interconnected micro grids. The transient dynamics is modelled as an averaging process involving dynamic agents in a network. An analysis of the convergence of the consensus dynamics is provided using a network model based approach and by exploiting the properties of the corresponding graph-Laplacian matrix. Furthermore an investigation of the transient dynamics is carried out for different damping and inertial parameters and under different time-varying topologies. Finally a simulation is performed based on a model calibrated on an existing network in the UK under parameter uncertainties.