RoCoF Constrained Regional Inertia Security Region: Formulation and Application
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911066917699584 |
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| author | Liu, Jiahao Wang, Cheng Bi, Tianshu |
| author_facet | Liu, Jiahao Wang, Cheng Bi, Tianshu |
| contents | The regional inertia, which determines the regional rate of change of frequency (RoCoF), should be kept in a secure status in renewable-penetrated power systems. To break away from mapping the regional maximum RoCoF with regional inertia in a linearized form, this paper comprehensively studies the regional inertia security problem from formulation to applications. Firstly, the regional inertia security region (R-ISR) is defined, whose boundary is non-linear and non-convex. Then, a local linearized method is devised to calculate the global maximum of regional RoCoF. The non-convex ISR boundary is expressed by multiple simple boundaries corresponding to each local solution, which can be obtained by a simple search-based method. Finally, the convexified R-ISR constraint is formed by convex decomposition and embedded in an inertia optimal adjustment model. The results on a 3-region system show some counter-intuitive findings, such as increasing the inertia of one region may worsen its RoCoF. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15344 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | RoCoF Constrained Regional Inertia Security Region: Formulation and Application Liu, Jiahao Wang, Cheng Bi, Tianshu Systems and Control The regional inertia, which determines the regional rate of change of frequency (RoCoF), should be kept in a secure status in renewable-penetrated power systems. To break away from mapping the regional maximum RoCoF with regional inertia in a linearized form, this paper comprehensively studies the regional inertia security problem from formulation to applications. Firstly, the regional inertia security region (R-ISR) is defined, whose boundary is non-linear and non-convex. Then, a local linearized method is devised to calculate the global maximum of regional RoCoF. The non-convex ISR boundary is expressed by multiple simple boundaries corresponding to each local solution, which can be obtained by a simple search-based method. Finally, the convexified R-ISR constraint is formed by convex decomposition and embedded in an inertia optimal adjustment model. The results on a 3-region system show some counter-intuitive findings, such as increasing the inertia of one region may worsen its RoCoF. |
| title | RoCoF Constrained Regional Inertia Security Region: Formulation and Application |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2507.15344 |