Inner Approximation of Minkowski Sums: A Union-Based Approach and Applications to Aggregated Energy Resources

• Published in: arXiv.org
• Main Authors: Nazir, Md Salman, Hiskens, Ian A, Bernstein, Andrey, Dall'Anese, Emiliano
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 03.10.2018
• Subjects: Algorithms; Approximation; Computation; Computer simulation; Economic models; Energy resources; Energy sources; Energy storage; Mathematical analysis; Polytopes

This paper develops and compares algorithms to compute inner approximations of the Minkowski sum of convex polytopes. As an application, the paper considers the computation of the feasibility set of aggregations of distributed energy resources (DERs), such as solar photovoltaic inverters, controllab...