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math.DS2020
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability
Amin Gholami, X. Andy Sun
We consider a broad class of second-order dynamical systems and study the impact of damping as a system parameter on the stability, hyperbolicity, and bifurcation in such systems.…
math.OC2020
A Fast Certificate for Power System Small-Signal Stability
Amin Gholami, Xu Andy Sun
Swing equations are an integral part of a large class of power system dynamical models used in rotor angle stability assessment. Despite intensive studies, some fundamental propert…