Multistability in lossy power grids and oscillator networks
DOI10.1063/1.5122739zbMath1491.34051arXiv1908.10054OpenAlexW3102119467WikidataQ92362544 ScholiaQ92362544MaRDI QIDQ5213531
Franz Kaiser, Dirk Witthaut, Chiara Balestra, Debsankha Manik
Publication date: 3 February 2020
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.10054
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Weyl theory and its generalizations for ordinary differential equations (34B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Circuits in qualitative investigation and simulation of models (94C60)
Cites Work
- Unnamed Item
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- Multistability of phase-locking and topological winding numbers in locally coupled Kuramoto models on single-loop networks
- Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
- Multistability of phase-locking in equal-frequency Kuramoto models on planar graphs
- There is no non-zero stable fixed point for dense networks in the homogeneous Kuramoto model
- Comparative analysis of existing models for power-grid synchronization
- The size of the sync basin
- Algebraic geometrization of the Kuramoto model: Equilibria and stability analysis
- A Theory of Solvability for Lossless Power Flow Equations—Part I: Fixed-Point Power Flow
- A Theory of Solvability for Lossless Power Flow Equations—Part II: Conditions for Radial Networks
- Cycle flows and multistability in oscillatory networks
- Synchronization in complex oscillator networks and smart grids
- Networks
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