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arXiv · 2607.08578

Robust Dynamic Operating Envelopes in Unbalanced Three-Phase Distribution Systems

Wilhiam de Carvalho·Florin Capitanescu·Cyril Rasic·Jean-François Toubeau·François Vallée
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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.

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Wilhiam de Carvalho, Florin Capitanescu, Cyril Rasic, Jean-François Toubeau, François Vallée. 2026-07-09. Robust Dynamic Operating Envelopes in Unbalanced Three-Phase Distribution Systems. https://arxiv.org/abs/2607.08578

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