Controlling Hopf bifurcation and chaos in a small power system. (English) Zbl 1074.93522

Harb, Ahmad M.; Abdel-Jabbar, Nabil

Chaos Solitons Fractals 18, No. 5, 1055-1063 (2003).

Summary: 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.

MSC:

93C10	Nonlinear systems in control theory
37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37G99	Local and nonlocal bifurcation theory for dynamical systems

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