TY  - JOUR
AU  - Hartmann, Carsten
AU  - Böttcher, Philipp C.
AU  - Gross, David
AU  - Witthaut, Dirk
TI  - Synchronized States of Power Grids and Oscillator Networks by Convex Optimization
JO  - PRX energy
VL  - 3
IS  - 4
CY  - College Park, MD
PB  - American Physical Society
M1  - FZJ-2024-07305
SP  - 043004
PY  - 2024
AB  - Synchronization is essential for the operation of ac power systems: all generators in the power grid must rotate with fixed relative phases to enable a steady flow of electric power. Understanding the conditions for and the limitations of synchronization is of utmost practical importance. In this article, we propose a novel approach to computing and analyzing the stable stationary states of a power grid or a network of Kuramoto oscillators in terms of a convex optimization problem. This approach allows us to systematically compute all stable states where the phase difference across an edge does not exceed 𝜋/2. Furthermore, the optimization formulation allows us to rigorously establish certain properties of synchronized states and to bound the error in the widely used linear power flow approximation.
LB  - PUB:(DE-HGF)16
DO  - DOI:10.1103/PRXEnergy.3.043004
UR  - https://juser.fz-juelich.de/record/1034542
ER  -