1. Trajectory section eigenvalue method for nonlinear time-varying power system
- Author
-
Yusheng Xue and Zijun Bin
- Subjects
Equilibrium point ,Computer science ,Oscillation ,020209 energy ,020208 electrical & electronic engineering ,Energy Engineering and Power Technology ,02 engineering and technology ,Decoupling (cosmology) ,Numerical integration ,Nonlinear system ,0202 electrical engineering, electronic engineering, information engineering ,Trajectory ,Applied mathematics ,Time domain ,Electrical and Electronic Engineering ,Eigenvalues and eigenvectors - Abstract
Low-frequency oscillation is usually regarded as a small disturbance problem. Traditional methods describe oscillation through eigenvalues obtained by linearized equations at the equilibrium point. Obviously, nonlinear time-varying factors are ignored. This article introduces a trajectory section eigenvalue method that can reflect the influences of complex models and fault scenarios. Based on this theory, a trajectory reconstruction method is proposed to accomplish the decoupling of multi-eigenmodes in the time domain. On the premise that the numerical integration is accurate, the trajectory section eigenvalue and trajectory reconstruction methods can be used to study the dynamics of the oscillation and interaction of multi-eigenmodes. Simulation test results show the validity of the proposed methods. The mechanism of low-frequency oscillation is illustrated by trajectory section eigenvalues and trajectory reconstruction methods from a new perspective. These methods can be used as effective tools for theoretical research and engineering applications in power systems.
- Published
- 2019