Synchronized states of power grids and oscillator networks by convex optimization
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909377375502336 |
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| author | Hartmann, Carsten Böttcher, Philipp C. Gross, David Witthaut, Dirk |
| author_facet | Hartmann, Carsten Böttcher, Philipp C. Gross, David Witthaut, Dirk |
| contents | 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 compute and analyze the stable stationary states of a power grid or an oscillator network in terms of a convex optimization problem. This approach allows to systematically compute \emph{all} stable states where the phase difference across an edge does not exceed $π/2$.Furthermore, the optimization formulation allows to rigorously establish certain properties of synchronized states and to bound the error in the widely used linear power flow approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09185 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Synchronized states of power grids and oscillator networks by convex optimization Hartmann, Carsten Böttcher, Philipp C. Gross, David Witthaut, Dirk Systems and Control Adaptation and Self-Organizing Systems 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 compute and analyze the stable stationary states of a power grid or an oscillator network in terms of a convex optimization problem. This approach allows to systematically compute \emph{all} stable states where the phase difference across an edge does not exceed $π/2$.Furthermore, the optimization formulation allows to rigorously establish certain properties of synchronized states and to bound the error in the widely used linear power flow approximation. |
| title | Synchronized states of power grids and oscillator networks by convex optimization |
| topic | Systems and Control Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2403.09185 |