Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Virtual-voltage partition-based approach to optimal
transmission switching
C.-Y. Chang, S. Martínez, J. Cortés
IEEE Transactions on Control Systems Technology 29 (3) (2021), 1246-1256
Abstract
This paper deals with optimal power flow (OPF)
problems with discrete variables that capture binary
decisions about network topology configurations and
capacitor bank settings. We adopt a semidefinite
programming formulation for the OPF problem which,
however, remains nonconvex due to the presence of
discrete variables and bilinear products between the
decision variables. To tackle the latter, we
introduce a novel physically-inspired,
virtual-voltage approximation that leads to provable
lower and upper bounds on the solution of the
original problem. To deal with the exponential
complexity caused by the discrete variables, we
introduce a graph partition-based algorithm which
breaks the problem into several parallel
mixed-integer subproblems of smaller
size. Simulations on the IEEE 30, 118, 300 bus test
cases demonstrate the high degree of accuracy and
affordable computational requirements of our
approach.
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Mechanical and Aerospace Engineering,
University of California, San Diego
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La Jolla, California, 92093-0411
Ph: 1-858-822-7930
Fax: 1-858-822-3107
cortes at ucsd.edu
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jorgilliyo