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024 7 _ |a 10.1103/PRXEnergy.3.043004
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037 _ _ |a FZJ-2024-07305
082 _ _ |a 530
100 1 _ |a Hartmann, Carsten
|0 P:(DE-Juel1)200120
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245 _ _ |a Synchronized States of Power Grids and Oscillator Networks by Convex Optimization
260 _ _ |a College Park, MD
|c 2024
|b American Physical Society
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520 _ _ |a 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.
536 _ _ |a 1122 - Design, Operation and Digitalization of the Future Energy Grids (POF4-112)
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536 _ _ |a DFG project G:(GEPRIS)491111487 - Open-Access-Publikationskosten / 2022 - 2024 / Forschungszentrum Jülich (OAPKFZJ) (491111487)
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700 1 _ |a Böttcher, Philipp C.
|0 P:(DE-Juel1)184784
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700 1 _ |a Gross, David
|b 2
700 1 _ |a Witthaut, Dirk
|0 P:(DE-Juel1)162277
|b 3
|e Corresponding author
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773 _ _ |a 10.1103/PRXEnergy.3.043004
|g Vol. 3, no. 4, p. 043004
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|t PRX energy
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|y 2024
856 4 _ |u https://juser.fz-juelich.de/record/1034542/files/PRXEnergy.3.043004.pdf
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913 1 _ |a DE-HGF
|b Forschungsbereich Energie
|l Energiesystemdesign (ESD)
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