{"ID":6267251,"CreatedAt":"2026-07-10T01:11:38.759438437Z","UpdatedAt":"2026-07-13T01:02:08.706470581Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2607.08578","arxiv_id":"2607.08578","title":"Robust Dynamic Operating Envelopes in Unbalanced Three-Phase Distribution Systems","abstract":"This paper proposes a robust optimization formulation to calculate dynamic operating envelopes (DOEs) to safely operate unbalanced three-phase distribution systems. Unlike conventional formulations that satisfy network constraints only at the envelope bound, the robust formulation covers the entire envelope range. We formulate a robust non-linear programming (NLP) problem with the full AC power flow equations, as well as an approximate linear programming (LP) model. Numerical simulations are run with real-world data from Belgium and two different distribution test feeders. The paper compares the conventional approaches with their robust counterparts and examines the trade-off between constraint violation and envelope size as well as accuracy and solve time aspects.","short_abstract":"This paper proposes a robust optimization formulation to calculate dynamic operating envelopes (DOEs) to safely operate unbalanced three-phase distribution systems. Unlike conventional formulations that satisfy network constraints only at the envelope bound, the robust formulation covers the entire envelope range. We f...","url_abs":"https://arxiv.org/abs/2607.08578","url_pdf":"https://arxiv.org/pdf/2607.08578v1","authors":"[\"Wilhiam de Carvalho\",\"Florin Capitanescu\",\"Cyril Rasic\",\"Jean-François Toubeau\",\"François Vallée\"]","published":"2026-07-09T15:13:36Z","proceeding":"eess.SY","tasks":"[\"eess.SY\",\"math.OC\"]","methods":"[]","has_code":false}