Application of Bifurcation Theory to Subsynchronous Resonance in Power Systems

DOI10.1142/S0218127498000115zbMath0910.70014OpenAlexW2135513070MaRDI QIDQ4219812

Lamine Mili, A. M. A. Hamdan, Char-Ming Chin, Ahmad. M. Harb, Ali Hasan Nayfeh

Publication date: 21 April 1999

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127498000115

zbMATH Keywords

Hopf bifurcationJacobian matrixtwo-torus attractorbluesky catastropheBOARDMAN generatorheavily loaded single-machine-infinite-busbar power systemquasiperiodic attractorsmall limit-cycle attractor

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (4)

Chaos and bifurcation control of SSR in the IEEE second benchmark model ⋮ BIFURCATIONS AND CHAOTIC OSCILLATIONS IN AN AUTOMATIC CONTROL RELAY SYSTEM WITH HYSTERESIS ⋮ Bifurcation analysis for an SMIB power system with series capacitor compensation associated with sub-synchronous resonance ⋮ Control of catastrophic bifurcations of SSR in a hybrid series compensated system

Cites Work

• Towards a theory of voltage collapse in electric power systems
• Voltage dynamics: study of a generator with voltage control, transmission, and matched MW load
• BIFURCATIONS IN A POWER SYSTEM MODEL
• DYNAMIC BIFURCATIONS IN A POWER SYSTEM MODEL EXHIBITING VOLTAGE COLLAPSE

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