Nonlinear dynamic singularity analysis of two interconnected synchronous generator system with 1：3 internal resonance and parametric principal resonance

The bifurcation analysis of a simple electric power system involving two synchronous generators connected by a transmission network to an infinite-bus is carried out in this paper. In this system, the infinite-bus voltage are considered to maintain two fluctuations in the amplitude and phase angle....

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Bibliographic Details
Published in:Applied mathematics and mechanics 2015-08, Vol.36 (8), p.985-1004
Main Authors: Wang, Xiaodong, Chen, Yushu, Hou, Lei
Format: Article
Language:English
Subjects:
Applications of Mathematics
Bifurcations
Classical Mechanics
Dynamical systems
Electric potential
Fluctuation
Fluid- and Aerodynamics
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nonlinear dynamics
Partial Differential Equations
Synchronous
Voltage
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Summary:The bifurcation analysis of a simple electric power system involving two synchronous generators connected by a transmission network to an infinite-bus is carried out in this paper. In this system, the infinite-bus voltage are considered to maintain two fluctuations in the amplitude and phase angle. The case of 1：3 internal resonance between the two modes in the presence of parametric principal resonance is considered and examined. The method of multiple scales is used to obtain the bifurcation equations of this system. Then, by employing the singularity method, the transition sets determining different bifurcation patterns of the system are obtained and analyzed, which reveal the effects of the infinite-bus voltage amplitude and phase fluctuations on bifurcation patterns of this system. Finally, the bifurcation patterns are all examined by bifurcation diagrams. The results obtained in this paper will contribute to a better understanding of the complex nonlinear dynamic behaviors in a two-machine infinite-bus （TMIB） power system.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-015-1965-7