Improve synchronizability of a power grid through power allocation and topology adjustment

This paper studies improving synchronizability of a power grid from two aspects, one is the power allocation of generators, the other is the adjustment of power grid topology with only adding one transmission line. The second-order Kuramoto-like model is applied to model the dynamics of a power grid. Unlike the homogeneous power allocation method, in this paper the power of a generator is inversely proportional to a max norm which is decided by the grid topology. The synchronizability of a power grid can be improved greatly with this heterogeneous power allocation method. Subsequently, when the power of nodes is given, study shows that the synchronizability of a grid can be improved by adding one transmission line whose one endpoint is the generator node determined by the max norm, and the other endpoint is the neighbors’ neighbor of the chosen generator node with the smallest degree. Simulation is carried on IEEE 14, IEEE 57 standard test grids and a BA scale-free network. Both theoretical analysis and numerical simulation verify the validity of the proposed method. Since the synchronization performance and anti-interference performance of networks are positively correlated, the proposed method also can improve the disturbance resistance of a power grid.