非線形共振に起因する電力系統の分岐現象に関する一考察

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タイトル別名
  • On Bifurcations in Power Systems under Nonlinear Resonances
  • ヒセンケイ キョウシン ニ キインスル デンリョク ケイトウ ノ ブンキ ゲン

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Power systems may experience nonlinear resonances due to quasi-periodic disturbances from the viewpoint of oscillation. These circumstances are suspected to trigger more complicated nonlinear phenomena related to the dynamics of the power system. In this paper, the possibility of the dynamic stability problem caused by Hopf bifurcation under the condition that there exists nonlinear resonance in power systems is revealed by means of the Intrinsic Multiple-Scale Harmonic-Balancing method. Analysis focuses not on simple bi-furcation parameters such as damping, but on the auxiliary parameters such as drifting of the frequency of disturbance. The results suggest the occurrence of perturbed Hopf bifurcation in a power system experiencing nonlinear resonance, which can cause long-term oscillations to influence dynamic stability of power systems.

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