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Asymmetry underlies stability in power grids

Author

Listed:
  • Ferenc Molnar

    (Northwestern University
    SimpleRose Inc, 1017 Olive Street, Suite 800)

  • Takashi Nishikawa

    (Northwestern University
    Northwestern University)

  • Adilson E. Motter

    (Northwestern University
    Northwestern University)

Abstract

Behavioral homogeneity is often critical for the functioning of network systems of interacting entities. In power grids, whose stable operation requires generator frequencies to be synchronized—and thus homogeneous—across the network, previous work suggests that the stability of synchronous states can be improved by making the generators homogeneous. Here, we show that a substantial additional improvement is possible by instead making the generators suitably heterogeneous. We develop a general method for attributing this counterintuitive effect to converse symmetry breaking, a recently established phenomenon in which the system must be asymmetric to maintain a stable symmetric state. These findings constitute the first demonstration of converse symmetry breaking in real-world systems, and our method promises to enable identification of this phenomenon in other networks whose functions rely on behavioral homogeneity.

Suggested Citation

  • Ferenc Molnar & Takashi Nishikawa & Adilson E. Motter, 2021. "Asymmetry underlies stability in power grids," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
  • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-21290-5
    DOI: 10.1038/s41467-021-21290-5
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    Cited by:

    1. Li, Xueqi & Ghosh, Dibakar & Lei, Youming, 2023. "Chimera states in coupled pendulum with higher-order interaction," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Fariello, Ricardo & de Aguiar, Marcus A.M., 2024. "Exploring the phase diagrams of multidimensional Kuramoto models," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    3. Khramenkov, Vladislav & Dmitrichev, Aleksei & Nekorkin, Vladimir, 2021. "Partial stability criterion for a heterogeneous power grid with hub structures," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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