Grid-connected operation of Renewable Energy and Storage (RES) nodes make the dynamics of modern power grid to be more complex. A model of power grid, considering RES nodes, is being proposed to address frequency synchronization and stability analysis. First, a unified dynamical model of four different types of nodes are established according to the swing equation, including the RES nodes with power-frequency droop inverter controllers. The storage nodes have charging and discharging states. We provide a sufficient condition for the existence and stability of frequency synchronized solution via the linear time-varying consensus protocol of multi-agent system. The results are validated by Western System Coordinating Council and the Shaanxi North Power Grid model.
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