Bifurcations and stability boundary of a power system

DOI10.1007/s10255-004-0189-4zbMath1058.34059OpenAlexW1979693273MaRDI QIDQ1884662

Ying-Hui Gao

Publication date: 5 November 2004

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-004-0189-4

zbMATH Keywords

saddle-node bifurcationHopf bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Circuits, networks (94C99) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (1)

STABILITY BOUNDARY CHARACTERIZATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS IN THE PRESENCE OF A SUPERCRITICAL HOPF EQUILIBRIUM POINT

Uses Software

• AUTO

Cites Work

• Towards a theory of voltage collapse in electric power systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Numerical approximation of \((n-1)\)-dimensional stable manifolds in large systems such as the power system
• A new detecting method for conditions of existence of Hopf bifurcation
• Visualization of stable manifolds and multidimensional surfaces in the analysis of power system dynamics
• A counterexample of a theorem by Tsolas et al. and an independent result by Zaborszky et al. (with reply)
• Static bifurcations in electric power networks: Loss of steady-state stability and voltage collapse
• Foundations of the potential energy boundary surface method for power system transient stability analysis
• BIFURCATION CONTROL: THEORIES, METHODS, AND APPLICATIONS
• Unnamed Item

This page was built for publication: Bifurcations and stability boundary of a power system