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Periodic motions and chaos in power system including power disturbance

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Abstract

Single-machine infinite-bus power system is a nonlinear dynamic system with state variable in the sinusoidal function. With traditional analytical approaches, it is difficult to analyze such a nonlinear system since the rotor angle difference cannot always stay in an infinitesimal small value. In this paper, a single-machine infinite-bus power system with power disturbance will be discussed. The implicit discrete maps approach will be applied to solve the periodic motions for such a power system, and the stability condition will be discussed. The analytical expressions for periodic motions for such a single-machine infinite-bus power system can be recovered with a series of Fourier functions. The bifurcation diagram for such a system will be given to show the complexity of the motions when the frequency of the disturbance varies, and 2-D parameter map for chaotic motion will be obtained by calculating the Kolmogorov-Sinai entropy density. From analytical bifurcation for period-1 and period-2 motions, the evolution process of the periodic motion to chaos can be analytically explained.

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Authors and Affiliations

  1. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, 200240, P.R. China

    Jianzhe Huang

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  1. Jianzhe Huang
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Correspondence to Jianzhe Huang.

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Huang, J. Periodic motions and chaos in power system including power disturbance. Eur. Phys. J. Spec. Top. 228, 1793–1808 (2019). https://doi.org/10.1140/epjst/e2019-800224-7

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  • DOI: https://doi.org/10.1140/epjst/e2019-800224-7

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