“20th PSCC 2018 papers submission and review platform

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Strengthening QC Relaxations of OPF Problems via Constraints on Voltage Magnitude Differences

AC optimal power flow (OPF) is a challenging non-convex optimization problem that plays a crucial role in power system operation and control. Recent applications of convex relaxation methods yield new insights regarding the global optimality of AC OPF solutions. The quadratic convex (QC) relaxation is one promising approach that constructs convex envelopes around the trigonometric and product terms in the polar representation of the power flow equations. Since the tightness of these envelopes (and thus the quality of the overall QC relaxation) depends on the range of the specified bounds on voltage magnitudes and angle differences, bound tightening techniques have been proposed to strengthen the QC relaxation. Leveraging similar bound tightening techniques, this abstract studies an approach for further strengthening the QC relaxation. Specifically, the QC relaxation is augmented with new variables that represent the voltage magnitude differences between neighboring buses. For many OPF problems, applying bound tightening techniques yields bounds on the voltage magnitude differences between neighboring buses that are significantly tighter than the best-achievable bounds on the voltage magnitudes themselves. Constraints based on the voltage magnitude differences are thus capable of strengthening the QC relaxation.

Author(s):

Mohammad Rasoul Narimani    
Missouri University of Science and Technology
United States

Daniel Molzahn    
Argonne National Laboratory
United States

Mariesa Crow    
Missouri University of Science and Technology
United States

 

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