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math.DS2022
Simulation of Transients in Natural Gas Networks via A Semi-analytical Solution Approach
Xin Xu, Rui Yao, Kai Sun +1
Simulation and control of the transient flow in natural gas networks involve solving partial differential equations (PDEs). This paper proposes a semi-analytical solutions (SAS) ap…
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…