Computation of Robust Dynamic Operating Envelopes Based on Non-convex OPF for Unbalanced Distribution Networks

Problem Description: Dynamic Operational Envelopes for Low-Voltage Grid Flexibility The increasing penetration of distributed energy resources (DERs) — particularly rooftop photovoltaic systems — in low-voltage distribution networks creates significant challenges for grid operators in managing congestion and voltage violations. Traditional static connection limits and rule-based control strategies lack the adaptability needed to safely and efficiently accommodate the dynamic, uncertain behavior of prosumers and controllable assets. There is a need for dynamic operational envelopes — time-varying, asset-specific bounds on power injection and consumption — that can be derived in real time from grid state estimates, forecasts, and flexibility signals, while respecting network constraints. Defining these envelopes requires integrating load and generation forecasts, grid topology models, and operational constraints, and updating them on both day-ahead and ad-hoc timescales. This problem is further complicated by the need to evaluate and compare envelope-based control strategies against existing DSO procedures, quantify their impact on customers, and validate them in a safe simulation or shadow-mode environment before live deployment.