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Hybrid synchronization with continuous varying exponent in modernized power grid

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  • Park, Jinha
  • Kahng, B.

Abstract

Motivated by the modernized power grid, we consider a synchronization transition (ST) of the Kuramoto model (KM) with a mixture of first- and second-order type oscillators with fractions p and 1−p, respectively. Discontinuous ST with forward–backward hysteresis is found in the mean-field limit. A critical exponent β is noticed in the spinodal drop of the order parameter curve at the backward ST. We find critical damping inertia m∗(p) of the oscillator mixture, where the system undergoes a characteristic change from overdamped to underdamped. When underdamped, the hysteretic area also becomes multistable. This contrasts an overdamped system, which is bistable at hysteresis. We also notice that β(p) continuously varies with p along the critical damping line m∗(p). Further, we find a single-cluster to multi-cluster phase transition at m∗∗(p). We also discuss the effect of those features on the stability of the power grid, which is increasingly threatened as more electric power is produced from inertia-free generators.

Suggested Citation

  • Park, Jinha & Kahng, B., 2024. "Hybrid synchronization with continuous varying exponent in modernized power grid," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924008671
    DOI: 10.1016/j.chaos.2024.115315
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    References listed on IDEAS

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    1. Steven H. Strogatz & Daniel M. Abrams & Allan McRobie & Bruno Eckhardt & Edward Ott, 2005. "Crowd synchrony on the Millennium Bridge," Nature, Nature, vol. 438(7064), pages 43-44, November.
    2. Choi, Hoyun & Cho, Y.S. & D’Souza, Raissa & Kertész, János & Kahng, B., 2024. "Unified framework for hybrid percolation transitions based on microscopic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
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