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

TL;DR

This paper introduces a constrained zonotope-based method for efficient multi-period flexibility aggregation in power systems, significantly reducing computation times compared to traditional approaches.

Contribution

It presents a novel constrained zonotope approach for set projection, improving efficiency in multi-period power system flexibility aggregation.

Findings

Method significantly reduces computation times.

Performance evaluated on a 15-bus distribution grid.

Effective for up to 96 timesteps.

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.