Multi-phase synchronization for peak power reduction in energy storage oscillators coupled with delayed power price

Abstract

This paper investigates the dynamical behavior of a power system for managing several energy storages, where each storage acts as a self-excited oscillator. The use of these storages is determined by the power price which is proportional to the past total power flow from a power grid to all storages. This system behaves as oscillators coupled by a time-delay global-repulsive connection. We show that multi-phase synchronization in this system can reduce the peak total power flow. A procedure for designing the system parameters so as to induce the desired multi-phase synchronization is provided. In addition, a strategy for maintaining multi-phase synchronization is proposed for use in practical situations, where some storages are added or removed from the synchronized storages. The effectiveness of the power system is demonstrated with numerical simulations.