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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.17571 |
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| _version_ | 1866918153441771520 |
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| author | Bouterakos, Andreas McKeon, Joseph Tzounas, Georgios |
| author_facet | Bouterakos, Andreas McKeon, Joseph Tzounas, Georgios |
| contents | The paper focuses on the problem of tracking eigenvalue trajectories in large-scale power system models as system parameters vary. A continuation-based formulation is presented for tracing any single eigenvalue of interest, which supports sparse matrix representations and accommodates both explicit and semi-implicit differential-algebraic models. Key implementation aspects, such as numerical integration, matrix updates, derivative approximations, and handling defective eigenvalues, are discussed in detail and practical recommendations are duly provided. The tracking approach is demonstrated through a comprehensive case study on the IEEE 39-bus system, as well as on a realistic dynamic model of the Irish transmission system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17571 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Eigenvalue Tracking of Large-Scale Systems Bouterakos, Andreas McKeon, Joseph Tzounas, Georgios Systems and Control The paper focuses on the problem of tracking eigenvalue trajectories in large-scale power system models as system parameters vary. A continuation-based formulation is presented for tracing any single eigenvalue of interest, which supports sparse matrix representations and accommodates both explicit and semi-implicit differential-algebraic models. Key implementation aspects, such as numerical integration, matrix updates, derivative approximations, and handling defective eigenvalues, are discussed in detail and practical recommendations are duly provided. The tracking approach is demonstrated through a comprehensive case study on the IEEE 39-bus system, as well as on a realistic dynamic model of the Irish transmission system. |
| title | On the Eigenvalue Tracking of Large-Scale Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2504.17571 |