β Scribed by Ahmad M. Harb; Nabil Abdel-Jabbar
No coin nor oath required. For personal study only.
For the power systems, the stabilization and tracking of voltage collapse trajectory, which involves severe nonlinear and nonstationary (unstable) features, is somewhat difficult to achieve. In this paper, we choose a widely used three-bus power system to be our case study. The study shows that the system experiences a Hopf bifurcation point (subcritical point) leads to chaos throughout period-doubling route. A model-based control strategy based on global state feedback linearization (GLC) is applied to the power system to control the chaotic behavior. The performance of GLC is compared with that for a nonlinear state feedback control.
π SIMILAR VOLUMES
A detailed analysis is undertaken to explore the stability and bifurcation pattern of the nonlinear Bloch equation known to govern the dynamics of an ensemble of spins, controlling the basic process of nuclear magnetic resonance. After the initial analysis of the parameter space and stability region
## Abstract A stability criterion for nonlinear oscillations in power systems is proposed. It consists of calculation of a limit cycle by application of Hopf bifurcation theory and nonlinear transformation of the coordinates using invariant manifolds. The proposed method is verified in a singleβmac
Non-linear vibration characteristics of a rub-impact Jeffcott rotor are investigated. The system is two-dimensional, non-linear and periodic. Fourier series analysis and the Floquet theory are used to perform qualitative global analysis on bifurcation and stability. The governing ordinary differenti