Towards grid-aware multi-period flexibility aggregation - A constrained zonotope approach

2025/11/04 by Raetsch, Maurice, Bandeira, Maísa Beraldo, Rehtanz, Christian +2
Computer Science · Engineering · #Advanced Optical Network Technologies #FOS: Mathematics #Interconnection Networks and Systems #Optimal Power Flow Distribution #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2511.02668

openalex publication_date 2025/11/04 · openalex created_date 2025/11/06 · openalex updated_date 2026/07/28

Abstract

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.

Citations

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Related

• Flexibility aggregation via set projection for distribution grids with multiple interconnections
• Non-Iterative Coordination of Interconnected Power Grids via Dimension-Decomposition-Based Flexibility Aggregation
• Towards Efficient Aggregation of Storage Flexibilities in Power Grids
• Aggregation and Disaggregation of Energetic Flexibility from Distributed\n Energy Resources
• Exact Characterization of Aggregate Flexibility via Generalized Polymatroids