Semantic Scholar Open Access 2016 118 sitasi

The QC relaxation: A theoretical and computational study on optimal power flow

Carleton Coffrin H. Hijazi P. Van Hentenryck

Abstrak

Convex relaxations of the power flow equations and, in particular, the Semi-Definite Programming (SDP) and Second-Order Cone (SOC) relaxations, have attracted significant interest in recent years. The Quadratic Convex (QC) relaxation is a departure from these relaxations in the sense that it imposes constraints to preserve stronger links between the voltage variables through convex envelopes of the polar representation. This paper is a systematic study of the QC relaxation for AC Optimal Power Flow with realistic side constraints. The main theoretical result shows that the QC relaxation is stronger than the SOC relaxation and neither dominates nor is dominated by the SDP relaxation. In addition, comprehensive computational results show that the QC relaxation may produce significant improvements in accuracy over the SOC relaxation at a reasonable computational cost, especially for networks with tight bounds on phase angle differences. The QC and SOC relaxations are also shown to be significantly faster and reliable compared to the SDP relaxation given the current state of the respective solvers.

Topik & Kata Kunci

Mathematics

Penulis (3)

Carleton Coffrin

H. Hijazi

P. Van Hentenryck

Format Sitasi

APA MLA BibTeX

Coffrin, C., Hijazi, H., Hentenryck, P.V. (2016). The QC relaxation: A theoretical and computational study on optimal power flow. https://doi.org/10.1109/TPWRS.2015.2463111

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Informasi Jurnal

Tahun Terbit: 2016
Bahasa: en
Total Sitasi: 118×
Sumber Database: Semantic Scholar
DOI: 10.1109/TPWRS.2015.2463111
Akses: Open Access ✓