Optimal Pole-Swapping in Bipolar DC Networks with Multiple CPLs Using an MIQP Model

This express brief presents a mixed-integer quadratic programming (MIQP) model to address the problem of optimal pole-swapping in asymmetric bipolar DC networks. The exact mixed-integer nonlinear programming model is convexified by using two stages. Using Taylor's series expansion, the first st...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Vol. 70; no. 9; p. 1
Main Authors: Montoya, Oscar Danilo, Grisales-Norena, Luis Fernando, Gil-Gonzalez, Walter
Format: Journal Article
Language:English
Published: New York IEEE 01.09.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Combinatorial analysis
Continuity (mathematics)
Load modeling
Mathematical models
Mixed integer
Mixed-Integer convex optimization
Nonlinear programming
Numerical models
Optimal pole-swapping problem
Optimization
Power loss reduction
Programming environments
Quadratic programming
Series expansion
Substations
Taylor series
Unbalanced bipolar DC networks
Voltage
Voltage control
Wires
ISSN:1549-7747, 1558-3791
Online Access:Get full text
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Summary:This express brief presents a mixed-integer quadratic programming (MIQP) model to address the problem of optimal pole-swapping in asymmetric bipolar DC networks. The exact mixed-integer nonlinear programming model is convexified by using two stages. Using Taylor's series expansion, the first stage corresponds to linearizing the hyperbolic relationship between voltage and powers in the constant power loads. The second stage applies the concept of the big-M number in order to obtain a linear equivalent for the product between binary and continuous variables. The proposed MIQP model is solved using the MATLAB programming environment, with the convex disciplined tool known as CVX and the Gurobi solver. Numerical results in the 21-and 85-bus grids demonstrate the effectiveness of the proposed MIQP formulation when compared to combinatorial optimization methods. The MIQP model ensures reductions of about 3.7609 and 49.7928kW in the total grid power losses for the 21-and 85-bus grids, respectively, when the neutral wire is assumed to be floating in all the nodes of the network except for the substation bus.
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ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2023.3264843