Title
Optimization-Based Bound Tightening using a Strengthened QC-Relaxation of the Optimal Power Flow Problem.
Abstract
This article develops a strengthened convex quadratic convex (QC) relaxation of the AC Optimal Power Flow (AC-OPF) problem and presents an optimization-based bound-tightening (OBBT) algorithm to compute tight, feasible bounds on the voltage magnitude variables for each bus and the phase angle difference variables for each branch in the network. Theoretical properties of the strengthened QC relaxation that show its dominance over the other variants of the QC relaxation studied in the literature are also derived. The effectiveness of the strengthened QC relaxation is corroborated via extensive numerical results on benchmark AC-OPF test networks. In particular, the results demonstrate that the proposed relaxation consistently provides the tightest variable bounds and optimality gaps with negligible impacts on runtime performance.
Year
Venue
Field
2018
arXiv: Optimization and Control
Magnitude (mathematics),Applied mathematics,Mathematical optimization,Power flow,Voltage,Quadratic equation,Regular polygon,Phase angle,Mathematics
DocType
Volume
Citations 
Journal
abs/1809.04565
0
PageRank 
References 
Authors
0.34
13
6
Name
Order
Citations
PageRank
Kaarthik Sundar17511.68
H. Nagarajan2489.37
Sidhant Misra311115.36
Mowen Lu400.68
Carleton Coffrin520420.20
Russell Bent67915.68