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math.DS2023
Reduced Order Characterization of Nonlinear Oscillations Using an Adaptive Phase-Amplitude Coordinate Framework
Dan Wilson, Kai Sun
We propose a general strategy for reduced order modeling of systems that display highly nonlinear oscillations. By considering a continuous family of forced periodic orbits defined…
math.DS2022
Time-variant Nonlinear Participation Factors Considering Resonances in Power Systems
Tianwei Xia, Kai Sun
The participation factor (PF), as an important modal property for small-signal stability, evaluates the linkage between a state variable and a mode. Applying the normal form theory…