Bifurcations, chaos, and system collapse in a three node power system
Jing, ZJ; Xu, DS; Chang, Y; Chen, LN
AbstractA model of the three node power system proposed by Rajesh and Padiyar [Electr. Power Energy Syst. 21 (1999) 375] is studied. As the bifurcation parameter P-m (input power to the generator) is changed, the system including the effects of the non-linearity exhibits complex dynamics emerging from static and dynamic bifurcations which link with the system collapse. The analyses for the model exhibit dynamical bifurcations, including three Hopf bifurcations, cyclic fold bifurcations, torus bifurcations and period-doubling bifurcations, and complex dynamical behaviors, including periodic orbits, period-doubling orbits, quasi-periodic orbits, phase-locked phenomena and two chaotic regions between two Hopf bifurcations, i.e. in the 'Hopf window' and intermittency chaos. Moreover, one of the two chaotic regions results from period-doubling bifurcations, and another results from quasi-periodic orbits emerging from a torus bifurcation. Simulations are given to illustrate the various types of dynamic behaviors associated with the power system collapse for the model. In particular, we first shown that the oscillatory transient may play a role in the collapse, and there are different critical points for different dominated state variables. Besides, the hard-limits and increases of the damping factor widen the feasible operating region of the power system, and prevent the torus bifurcation to occur so that some complex dynamical phenomena can be inhibited. (C) 2003 Elsevier Science Ltd. All rights reserved.
Keywordpower systems chaos bifurcations hard-limits
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000181713800003
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Document Type期刊论文
Corresponding AuthorJing, ZJ
Affiliation1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
2.Mem Univ Newfoundland, Inst Appl Phys & Computat Math, St Johns, NF AIC 557, Canada
3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
4.Osaka Sangyo Univ, Dept Elect Engn & Elect, Daito, Osaka 5748530, Japan
Recommended Citation
GB/T 7714
Jing, ZJ,Xu, DS,Chang, Y,et al. Bifurcations, chaos, and system collapse in a three node power system[J]. INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS,2003,25(6):443-461.
APA Jing, ZJ,Xu, DS,Chang, Y,&Chen, LN.(2003).Bifurcations, chaos, and system collapse in a three node power system.INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS,25(6),443-461.
MLA Jing, ZJ,et al."Bifurcations, chaos, and system collapse in a three node power system".INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS 25.6(2003):443-461.
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