Exploring the effect of voltage amplitude and phase difference on resilient ability for power network with third-order model

Abstract

Power networks and their ability play crucial role on our modern society. An effective approach to characterize the stability of power network against various disturbances is the resilience, which was presented in recent years. This paper investigates the resilience of power network with third-order model which takes into account voltage dynamics. Firstly, we analyze the local stability of the third order model including the transient dynamics of voltage magnitudes to gain insights into the critical coupling strength of power network. Subsequently, we study the resilience of power network from the view point of synchronous dynamics and voltage stability. Specifically, we focus on two factors: phase angle difference and voltage amplitude. Then, we pin down certain disturbance scenarios in networks with small size simulated according to the third-order model and discuss the transmitted power flow under different conditions. Simulation results show that power network is robust under fixed voltage amplitude. On the contrary, the power network is vulnerable under fixed phase differences. The analysis of the model can further help to understand the dynamics resilience of network in reality, and it is also of practical significance to predict cascading failure and design effective measures to control larger-scale outages.