A Scalable Bundle Method for Exact Reformulation of SDP in Three-Phase Power Flow Feasibility
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917530380009472 |
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| author | Fang, Bohang Ding, Lijun Chen, Cong |
| author_facet | Fang, Bohang Ding, Lijun Chen, Cong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25319 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Scalable Bundle Method for Exact Reformulation of SDP in Three-Phase Power Flow Feasibility Fang, Bohang Ding, Lijun Chen, Cong Optimization and Control Systems and Control 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. |
| title | A Scalable Bundle Method for Exact Reformulation of SDP in Three-Phase Power Flow Feasibility |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2605.25319 |