As an essential part of the energy system, the modern power system is a high-dimensional, hybrid nonlinear differential dynamic system, which is considered as a typical cyber-physical system(CPS). The time delay of the advanced information system is a significant concern in the stability analysis of cyber-physical power system (CPPS). However, the time delayed stability of power systems under distributed control has not been studied from a CPS perspective yet. In this regard, we introduce a dynamic cyber-physical power system model based on the time-delayed differential algebraic equation (TDAE). To analyze the time-delayed stability of CPPS, a critical eigenvalue tracking method for solving the time-delay margin of CPPS based on Rekasius substitution is proposed. Case studies illustrate the validity of the proposed method.
Keywords CPS, smart grids, distributed control, time-delayed stability, TDAE