3 papers
math.DS2020
On Periodical Damping Ratio of a Controlled Dynamical System with Parametric Resonances
Xin Xu, Kai Sun
This report provides an interpretation on the periodically varying damping ratio of a dynamical system with direct control of oscillation or vibration damping. The principal parame…
math.DS2020
Generalized Equal Area Criterion for Stability Analysis of Nonlinear Oscillators
Xin Xu, Kai Sun
In power system analysis, the Equal Area Criterion is of great importance on revealing the condition for a grid-connected synchronous generator to maintain its transient rotor angl…
eess.SY2020
Towards Critical Clearing Time Sensitivity for DAE Systems with Singularity
Chetan Mishra, Chen Wang, Xin Xu +1
Standard power system models are parameter dependent differential-algebraic equation (DAE) type. Following a transient event, voltage collapse can occur as a bifurcation of the tra…