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arXiv · 2605.25319

A Scalable Bundle Method for Exact Reformulation of SDP in Three-Phase Power Flow Feasibility

Bohang Fang·Lijun Ding·Cong Chen
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Abstract

Power flow feasibility assessment is computationally challenging for unbalanced three-phase distribution networks. This paper develops a vectorized semidefinite program (SDP) based on the bus injection model (BIM) and reformulates its dual as an exact-penalty problem, enabling us to develop a scalable three-cut proximal bundle method for feasibility assessment. The proposed bundle method is numerically over 400 times faster than MOSEK with less than 1/2000 of its memory; on the decomposed BIM-SDP, approximately 2 times faster with 75% less memory.

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Bohang Fang, Lijun Ding, Cong Chen. 2026-05-25. A Scalable Bundle Method for Exact Reformulation of SDP in Three-Phase Power Flow Feasibility. https://arxiv.org/abs/2605.25319

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