A Scalable Bundle Method for Exact Reformulation of SDP in Three-Phase Power Flow Feasibility
Optimization and Control
2026-05-26 v1 Systems and Control
Systems and Control
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.
Keywords
Cite
@article{arxiv.2605.25319,
title = {A Scalable Bundle Method for Exact Reformulation of SDP in Three-Phase Power Flow Feasibility},
author = {Bohang Fang and Lijun Ding and Cong Chen},
journal= {arXiv preprint arXiv:2605.25319},
year = {2026}
}
Comments
7 pages, 2 figures