Towards grid-aware multi-period flexibility aggregation - A constrained zonotope approach
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917412515872768 |
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| author | Raetsch, Maurice Bandeira, Maísa Beraldo Rehtanz, Christian Engelmann, Alexander Faulwasser, Timm |
| author_facet | Raetsch, Maurice Bandeira, Maísa Beraldo Rehtanz, Christian Engelmann, Alexander Faulwasser, Timm |
| contents | Aggregation schemes provide a means to reduce the computational complexity of power system operation by reducing the number of devices that are considered individually. This can be achieved with tools of computational geometry, where the feasible set is projected onto the decision variables of the point of interconnection. Set projection is computationally expensive, especially in the context of multi-period power system operation. This calls for efficiency improvements via structure exploitation of set representations. This paper proposes efficient flexibility aggregation via constrained zonotopes. We evaluate the performance of the proposed method on a 15-bus distribution grid with time-dependent elements for up to 96 timesteps. The results suggest that the presented method significantly improves computation times compared to classic polytope projection approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02668 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Towards grid-aware multi-period flexibility aggregation - A constrained zonotope approach Raetsch, Maurice Bandeira, Maísa Beraldo Rehtanz, Christian Engelmann, Alexander Faulwasser, Timm Optimization and Control Aggregation schemes provide a means to reduce the computational complexity of power system operation by reducing the number of devices that are considered individually. This can be achieved with tools of computational geometry, where the feasible set is projected onto the decision variables of the point of interconnection. Set projection is computationally expensive, especially in the context of multi-period power system operation. This calls for efficiency improvements via structure exploitation of set representations. This paper proposes efficient flexibility aggregation via constrained zonotopes. We evaluate the performance of the proposed method on a 15-bus distribution grid with time-dependent elements for up to 96 timesteps. The results suggest that the presented method significantly improves computation times compared to classic polytope projection approaches. |
| title | Towards grid-aware multi-period flexibility aggregation - A constrained zonotope approach |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2511.02668 |