Eigenvalue Tracking of Large-Scale Systems Impacted by Time Delays
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917283521101824 |
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| author | Bouterakos, Andreas Tzounas, Georgios |
| author_facet | Bouterakos, Andreas Tzounas, Georgios |
| contents | The paper focuses on tracking eigenvalue trajectories in power system models with time delays. We formulate a continuation-based approach that employs numerical integration to follow eigenvalues as system parameters vary, in the presence of one or multiple delayed variables. The formulation is compatible with sparse delay differential-algebraic equation (DDAE) formulations of the system model and allows treating the delay magnitude itself as a varying parameter with implementation aspects discussed in detail. The proposed approach is illustrated on a modified IEEE 39-bus system, as well as on a real-world-scale dynamic model of the Irish transmission network. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03070 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eigenvalue Tracking of Large-Scale Systems Impacted by Time Delays Bouterakos, Andreas Tzounas, Georgios Systems and Control The paper focuses on tracking eigenvalue trajectories in power system models with time delays. We formulate a continuation-based approach that employs numerical integration to follow eigenvalues as system parameters vary, in the presence of one or multiple delayed variables. The formulation is compatible with sparse delay differential-algebraic equation (DDAE) formulations of the system model and allows treating the delay magnitude itself as a varying parameter with implementation aspects discussed in detail. The proposed approach is illustrated on a modified IEEE 39-bus system, as well as on a real-world-scale dynamic model of the Irish transmission network. |
| title | Eigenvalue Tracking of Large-Scale Systems Impacted by Time Delays |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2510.03070 |