Abstract
We discuss the complete synchronization for a Kuramoto-like model for power grids with frustration. For identical oscillators without frustration, it will converge to complete phase and frequency synchronization exponentially fast if the initial phases are distributed in a half circle. For nonidentical oscillators with frustration, we present a framework leading to complete frequency synchronization where the initial phase configurations are located inside the half of a circle. Our estimates are based on the monotonicity arguments of extremal phase and frequency.
| Original language | English |
|---|---|
| Pages (from-to) | 543-553 |
| Number of pages | 11 |
| Journal | Networks and Heterogeneous Media |
| Volume | 15 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Sep 2020 |
| Externally published | Yes |
Keywords
- Frustration
- Kuramoto-like model
- Power grids
- Synchronization
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