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Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull

Abstract: 

Optimal power flow (OPF) is one of the key electric power system optimization problems. "Moment" relaxations from the Lasserre hierarchy for polynomial optimization globally solve many OPF problems. Previous work illustrates the ability of higher-order moment relaxations to approach the convex hulls of OPF problems' non-convex feasible spaces. Using a small test case, this paper focuses on the ability of the moment relaxations to globally solve problems with objective functions that have unconstrained minima at infeasible points inside the convex hull of the non-convex constraints.

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Paper Details

Authors:
Daniel K. Molzahn, Cedric Josz, Ian A. Hiskens
Submitted On:
6 December 2016 - 10:41pm
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Daniel Molzahn
Paper Code:
1061
Document Year:
2016
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Molzahn - GlobalSIP 2016.pdf

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[1] Daniel K. Molzahn, Cedric Josz, Ian A. Hiskens, "Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull", IEEE SigPort, 2016. [Online]. Available: http://sigport.org/1391. Accessed: Apr. 30, 2017.
@article{1391-16,
url = {http://sigport.org/1391},
author = {Daniel K. Molzahn; Cedric Josz; Ian A. Hiskens },
publisher = {IEEE SigPort},
title = {Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull},
year = {2016} }
TY - EJOUR
T1 - Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull
AU - Daniel K. Molzahn; Cedric Josz; Ian A. Hiskens
PY - 2016
PB - IEEE SigPort
UR - http://sigport.org/1391
ER -
Daniel K. Molzahn, Cedric Josz, Ian A. Hiskens. (2016). Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull. IEEE SigPort. http://sigport.org/1391
Daniel K. Molzahn, Cedric Josz, Ian A. Hiskens, 2016. Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull. Available at: http://sigport.org/1391.
Daniel K. Molzahn, Cedric Josz, Ian A. Hiskens. (2016). "Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull." Web.
1. Daniel K. Molzahn, Cedric Josz, Ian A. Hiskens. Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull [Internet]. IEEE SigPort; 2016. Available from : http://sigport.org/1391