Abstract: The angle stability of a power system typically refers to its ability to remain in synchronism when severe failures or faults occur. This stability definition characterizes the capability of the post-fault power system returning to a system equilibrium after disrupting events. In fact, power system experiences a variety of disturbances and fluctuations in load and generation around the nominal operation conditions even in the absence of serve system faults. Taking these issues into account, this paper extends the definition of stability and considers the transient stability of microgrids equipped with inverter-based energy sources. The model of microgrids is presented in a network-preserving fashion without conducting network reduction and hence the irregularity of the physical power network topology is retained. The objective of the paper is to investigate the impact of the underlining network topology and system parameters on the stability of the power system. We propose a new analysis method that enables this exploration and derives a simple algebraic condition that relates the stability, system dynamics and network topology.
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