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Nonlinear dynamic analysis of a single-machine infinite-bus power system. (English) Zbl 07139353
Summary: This study focuses on the nonlinear dynamic characteristics of a single-machine infinite-bus (SMIB) power system under a periodic load disturbance. The qualitative behavior of this system is described by the well-known ”swing equation”, which is a nonlinear second-order differential equation. Compared with the existing results, the generator damping in this paper, which is more close to the practical engineering, is related to the state variables of this system. In addition, Melnikov’s method is applied to obtain the threshold for the onset of chaos. The efficiency of the criteria for chaotic motion is verified via numerical simulations. Comparisons between the theoretical analysis and numerical simulation show good agreements. The results in this paper will contribute a better understanding of the nonlinear dynamic behaviors of the SMIB power system.
MSC:
34C28 Complex behavior and chaotic systems of ordinary differential equations
70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics
Software:
Dynamics
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