Abstract
In power systems, the Hopf bifurcation (HB) can occur before the saddle-node bifurcation (SNB) and be-comes one of main reasons of voltage instability and collapse, so the bifurcation control for HB has impor-tant significance in improving power system voltage stability. In this paper, the numerical bifurcation analy-sis software MATCONT was used to study bifurcation behavior of a single-machine dynamic-load (SMDL) system with SVC, and the simulation analysis results show that a unstable Hopf bifurcation (UHB) point oc-curring before SNB point and engendering potential harm to voltage stability. To delay or eliminate the UHB phenomenon and enhance voltage stability of the SMDL system with SVC, we designed a sliding mode variable structure controller. The switching function and control variables of the controller are clearly de-scribed and the derivations are directly provided in detail in this paper. The MATLAB simulation results prove that the designed controller can eliminate the UHB point effectively and ensure safe and stable opera-tion of the system.
Highlights
With many voltage instability and collapse accidents occurred in the last 30 years, voltage stability problem has been drawn extensive attention and become a hot spot in power system research
The numerical bifurcation analysis software MATCONT was used to study bifurcation behavior of a single-machine dynamic-load (SMDL) system with static var compensator (SVC), and the simulation analysis results show that a unstable Hopf bifurcation (UHB) point occurring before saddle-node bifurcation (SNB) point and engendering potential harm to voltage stability
In power system bifurcation analysis, when the HB occurs, the power system has to take a short time to oscillate before the voltage collapse occurs, and at the same time, Sliding mode variable structure control (SMVSC) can make the trajectory of the system reach the designed manifold quickly, and slid the stable equilibrium point
Summary
With many voltage instability and collapse accidents occurred in the last 30 years, voltage stability problem has been drawn extensive attention and become a hot spot in power system research. The past researches show that the HB can occur before the SNB and becomes one of main reasons that lead to voltage instability and collapse in power systems [1,2,3,4,5]. In power system bifurcation analysis, when the HB occurs, the power system has to take a short time to oscillate before the voltage collapse occurs, and at the same time, SMVSC can make the trajectory of the system reach the designed manifold quickly, and slid the stable equilibrium point.
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