Augmented Synchronization of Power Systems

Power system transient stability has been translated into a Lyapunov stability problem for decades. Conventional theories face the challenge of requiring prior knowledge of post-disturbance equilibrium. This paper introduces an equilibrium-independent perspective through the concept of augmented synchronization, aiming to unite theoretical and practical approaches in stability analysis. We derive conditions whereby convergence to augmented synchronization guarantees convergence to the equilibrium set, establishing a novel theoretical framework. We further explore the initial conditions necessary for a power system to achieve augmented synchronization. Our results suggest an innovative method for analyzing power system stability that reinterprets nominal motion as augmented synchronization rather than relying on a specific equilibrium state. The findings are validated through single-machine examples and the IEEE 9-bus system, illustrating significant implications for future power system stability assessments.