%0 Journal Article
%A Hartmann, Carsten
%A Böttcher, Philipp C.
%A Gross, David
%A Witthaut, Dirk
%T Synchronized States of Power Grids and Oscillator Networks by Convex Optimization
%J PRX energy
%V 3
%N 4
%C College Park, MD
%I American Physical Society
%M FZJ-2024-07305
%P 043004
%D 2024
%X 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.
%F PUB:(DE-HGF)16
%9 Journal Article
%R 10.1103/PRXEnergy.3.043004
%U https://juser.fz-juelich.de/record/1034542