Gao Yinghui
Source Publicationactamathematicaeapplicataesinica
AbstractA single-axis flux decay model including an excitation control model proposed in 12,14,16 is studied. As the bifurcation parameter Pm (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.
Document Type期刊论文
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GB/T 7714
Gao Yinghui. bifurcationsandstabilityboundaryofapowersystem[J]. actamathematicaeapplicataesinica,2004,020(003):513.
APA Gao Yinghui.(2004).bifurcationsandstabilityboundaryofapowersystem.actamathematicaeapplicataesinica,020(003),513.
MLA Gao Yinghui."bifurcationsandstabilityboundaryofapowersystem".actamathematicaeapplicataesinica 020.003(2004):513.
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