A Lur'e-type Lyapunov function for multi-machine power systems with transfer conductances

DOI10.1080/00207178508933386zbMath0586.93054OpenAlexW2029868090MaRDI QIDQ3713959

Masami Saeki, Mituhiko Araki, Bunji Kondo

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00207178508933386

zbMATH Keywords

transient stabilityLur'e-type Lyapunov functionmulti-machine power systems with transfer conductances

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control of mechanical systems (70Q05) Stability of solutions to ordinary differential equations (34D20) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• A generalization of the Popov criterion
• Local stability of composite systems--Frequency-domain condition and estimate of the domain of attraction
• Finite regions of attraction for multinonlinear systems and its application to the power system stability problem
• Construction of a Lyapunov function by the perturbation method and its application to the transient stability problem of power systems with non-negligible transfer conductances

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