On expansion of estimated stability region: theory, methodology, and application to power systems

DOI10.1007/s11431-011-4303-6zbMath1237.78024OpenAlexW2027987234MaRDI QIDQ412994

Feng Liu, Wei Wei, Shengwei Mei

Publication date: 4 May 2012

Published in: Science China. Technological Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11431-011-4303-6

zbMATH Keywords

power systemsnonlinear systemstability regiontransient stability analysis

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Stability of solutions to ordinary differential equations (34D20) Technical applications of optics and electromagnetic theory (78A55) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

\(p\)-moment stability of power system under small Gauss type random excitation

Cites Work

• Unnamed Item
• Stability analysis of complex dynamical systems. Some computational methods
• Qualitative analysis of large scale dynamical systems
• Visualization of stable manifolds and multidimensional surfaces in the analysis of power system dynamics
• Stability regions of nonlinear dynamical systems: a constructive methodology
• On the estimation of asymptotic stability regions: State of the art and new proposals
• Stability regions of nonlinear autonomous dynamical systems
• On the phase portrait of a class of large nonlinear dynamic systems such as the power system
• Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming
• A constructive methodology for estimating the stability regions of interconnected nonlinear systems

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