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Bifurcations and Stability Boundary of a Power System

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Abstract

A single-axis flux decay model including an excitation control model proposed in [12,14,16] is studied. As the bifurcation parameter P m (input power to the generator) varies, the system exhibits dynamics emerging from static and dynamic bifurcations which link with system collapse. We show that the equilibrium point of the system undergoes three bifurcations: one saddle-node bifurcation and two Hopf bifurcations. The state variables dominating system collapse are different for different critical points, and the excitative control may play an important role in delaying system from collapsing. Simulations are presented to illustrate the dynamical behavior associated with the power system stability and collapse. Moreover, by computing the local quadratic approximation of the 5-dimensional stable manifold at an order 5 saddle point, an analytical expression for the approximate stability boundary is worked out.

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Authors and Affiliations

  1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Ying-hui Gao

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  1. Ying-hui Gao
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Correspondence to Ying-hui Gao.

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Supported by the National Key Basic Research Fund (No.G1998020307) and KZCX-2-SW-118 Chinese Academy of Sciences.

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Gao, Yh. Bifurcations and Stability Boundary of a Power System. Acta Mathematicae Applicatae Sinica, English Series 20, 513–532 (2004). https://doi.org/10.1007/s10255-004-0189-4

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  • DOI: https://doi.org/10.1007/s10255-004-0189-4

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