Blue sky bifurcations caused by unstable limit cycle leading to voltage collapse in an electric power system.

DOI10.1016/S0960-0779(02)00072-3zbMath1050.34070OpenAlexW2085551102MaRDI QIDQ1419060

Hirofumi Ohta, Yoshisuke Ueda

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00072-3

zbMATH Keywords

limit cyclesbifurcationchaotic attractorvoltage collapse

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (7)

Existence of self-oscillation for a class of nonlinear discrete-time systems ⋮ Existence and uniqueness of limit cycle for a class of nonlinear discrete-time systems ⋮ Novel frequency-domain criterion for elimination of limit cycles in a class of digital filters with single saturation nonlinearity ⋮ Suppression of limit cycles in second-order companion form digital filters with saturation arithmetic ⋮ Passivity-based adaptive control of chaotic oscillations in power system ⋮ The existence of the exponentially stable limit cycle for a class of nonlinear systems ⋮ Limit cycles design for a class of bilinear control systems

Cites Work

• Unnamed Item
• Towards a theory of voltage collapse in electric power systems
• Multiple coexisting attractors, basin boundaries and basic sets
• Global bifurcation caused by unstable limit cycle leading to voltage collapse in an electric power system

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