55 citations · 59 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
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…
A Dual-level Model Predictive Control Scheme for Multi-timescale Dynamical Systems--Extended Version
Xinglong Zhang, Wei Jiang, Shuyou Yu +2
So far, many control algorithms have been developed for singularly perturbed systems. However, in many industrial processes, enforcing closed-loop fast-slow dynamics for peculiarly…
Nonlinear Modal Decoupling Based Power System Transient Stability Analysis
Bin Wang, Kai Sun, Xin Xu
Nonlinear modal decoupling (NMD) was recently proposed to nonlinearly transform a multi-oscillator system into a number of decoupled oscillators which together behave the same as t…
Power System Transient Stability Analysis Using Truncated Taylor Expansion Systems
Bin Wang, Xin Xu, Kai Sun
Small signal analysis is a special case of analytical approaches using Taylor expansions of power system differential equations with the truncation performed at order one. The trun…
Approximate Analytical Solutions of Power Flow Equations Based on Multi-Dimensional Holomorphic Embedding Method
Chengxi Liu, Bin Wang, Xin Xu +2
It is well known that closed-form analytical solutions for AC power flow equations do not exist in general. This paper proposes a multi-dimensional holomorphic embedding method (MD…