Numerical determination of domains of attraction for electrical power systems using the method of Zubov

DOI10.1080/00207178108922536zbMath0466.93021OpenAlexW2086448962MaRDI QIDQ3919533

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Publication date: 1981

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178108922536

zbMATH Keywords

ordinary differential equationspartial differential equationstability boundaryclosed form solutiondomains of attractionelectrical power systemsZubov's methoddetermination of domains of attractionLure problemsmethod of Zubov

Mathematics Subject Classification ID

Related Items (10)

A method of estimating the domain of attraction for nonlinear discrete-time systems ⋮ Exact determination of a Lyapunov function and the asymptotic stability domain ⋮ Zubov's equation for state-constrained perturbed nonlinear systems ⋮ Zubov's method for controlled diffusions with state constraints ⋮ Nonlinear system stability boundary approximation by polytopes in state space† ⋮ Scalar-Lyapunov-function method for single- and multimachine problems in power systems ⋮ Synthesizing Robust Domains of Attraction for State-Constrained Perturbed Polynomial Systems ⋮ Domain of stability of synchronous generators by a cell mapping approach ⋮ Review on computational methods for Lyapunov functions ⋮ Computation of local ISS Lyapunov functions with low gains via linear programming

Cites Work

• Application of the Lagrange-Charpit method to analyse the power system's stability
• Application of generalized Zubov's method to power system stability†
• Power system transient stability regions : transient stability limits involving saliency and the optimized Szego's Liapunov function

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