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

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Abstract

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.

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Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China

    Xiaodong Wang, Yushu Chen & Lei Hou

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  1. Xiaodong Wang
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  2. Yushu Chen
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  3. Lei Hou
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Correspondence to Xiaodong Wang.

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Project supported by the National Natural Science Foundation of China (No. 10632040)

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Wang, X., Chen, Y. & Hou, L. Nonlinear dynamic singularity analysis of two interconnected synchronous generator system with 1:3 internal resonance and parametric principal resonance. Appl. Math. Mech.-Engl. Ed. 36, 985–1004 (2015). https://doi.org/10.1007/s10483-015-1965-7

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  • DOI: https://doi.org/10.1007/s10483-015-1965-7

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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