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Ciencia en Desarrollo
versão impressa ISSN 0121-7488
Resumo
MONTOYA, Oscar Danilo; GIL-GONZALEZ, Walter e GARCES, Alejandro. Conexión óptima a tierra del neutro en redes de CC bipolares con carga asimétrica mediante una aproximación convexa cuadrática mixta-entera. Ciencia en Desarrollo [online]. 2025, vol.16, n.2, pp.73-81. Epub 20-Jul-2025. ISSN 0121-7488. https://doi.org/10.19053/uptc.01217488.v16.n2.2025.18109.
This work analyzes the optimal grounding of bipolar DC networks with asymmetric loading through a convex optimization model. The power flow equations are represented as convex-conic constraints with binary variables introduced to define the nodes where solid grounding is most suitable to minimize power loss. The problem belongs to the family of mixed-integer quadratic convex (MIQC) models, which is solvable with a combination of the branch-and-cut and the interior point method. The model ensures global optimum due to the convexity of the solution space for each combination of the binary variables. Numerical experiments in bipolar DC networks with 4-, 21-, 33-, and 85-node demonstrate the effectiveness of the optimal grounding procedure regarding power loss minimization. All the computational validations were carried out in the MATLAB programming environment using the convex disciplined tool (CVX) and the Gurobi solver.
Palavras-chave : Asymmetric bipolar DC networks; optimal neutral grounding; conic power flow reformulation; mixed-integer second-order cone programming model; power loss minimization.












