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PreprintCC BY 4.0arXiv

Explosive Synchronization in Inertial Kuramoto Models: Determining Resilience in Power Grids

  • Cook Hyun Kim
  • Jihye Kim
  • Sangjoon Park
  • Jürgen Kurths
  • B. Kahng
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Abstract

Maintaining power-grid stability is essential for a sustainable energy supply. Using empirical power-grid data, we show that the inertial Kuramoto model with correlated powers and coupling strengths provides a relevant framework for analyzing explosive synchronization and grid stability. We identify two distinct synchronization pathways, initiated by population-driven or coupling-driven seed rotors, that yield different order-parameter behaviors. Inertia, in turn, determines whether the resulting seed clusters retain distinct angular velocities. Similar mechanisms govern recovery from external disturbances, linking power-grid resilience to these two nucleation pathways. Our findings provide a microscopic framework for understanding synchronization and recovery, with implications for stable power-grid operation.

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Cite

BibTeXRIS
BibTeX
@misc{kim2026explosive,
  title = {{Explosive Synchronization in Inertial Kuramoto Models: Determining Resilience in Power Grids}},
  author = {Cook Hyun Kim and Jihye Kim and Sangjoon Park and Jürgen Kurths and B. Kahng},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.00910},
  eprint = {2609.00910},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00910},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Explosive Synchronization in Inertial Kuramoto Models: Determining Resilience in Power Grids
AU  - Cook Hyun Kim
AU  - Jihye Kim
AU  - Sangjoon Park
AU  - Jürgen Kurths
AU  - B. Kahng
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.00910
UR  - https://arxiv.org/abs/2609.00910
AB  - Maintaining power-grid stability is essential for a sustainable energy supply. Using empirical power-grid data, we show that the inertial Kuramoto model with correlated powers and coupling strengths provides a relevant framework for analyzing explosive synchronization and grid stability. We identify two distinct synchronization pathways, initiated by population-driven or coupling-driven seed rotors, that yield different order-parameter behaviors. Inertia, in turn, determines whether the resulting seed clusters retain distinct angular velocities. Similar mechanisms govern recovery from external disturbances, linking power-grid resilience to these two nucleation pathways. Our findings provide a microscopic framework for understanding synchronization and recovery, with implications for stable power-grid operation.
ER  -