Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach

This paper deals with the problem regarding the optimal siting and sizing of distribution static compensators (D-STATCOMs) in electrical distribution networks to minimize the expected total annual operating costs. These costs are associated with the investments made in D-STATCOMs and expected energy...

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Detalhes bibliográficos
Autores: Garrido, Víctor Manuel, Montoya, Oscar Danilo, Medina-Quesada, Ángeles, Hernández, Jesús C
Formato: artículo
Estado:Versión borrador
Fecha de publicación:2022
País:Colombia
Recursos:Universidad Tecnológica de Bolívar
Repositorio:Repositorio Institucional UTB
Idioma:inglés
OAI Identifier:oai:repositorio.utb.edu.co:20.500.12585/12430
Acesso em linha:https://hdl.handle.net/20.500.12585/12430
Access Level:acceso abierto
Palavra-chave:Distribution static compensators
Mixed-integer convex optimization
Optimal power flow approximation
Radial and meshed distribution networks
Descrição
Resumo:This paper deals with the problem regarding the optimal siting and sizing of distribution static compensators (D-STATCOMs) in electrical distribution networks to minimize the expected total annual operating costs. These costs are associated with the investments made in D-STATCOMs and expected energy losses costs. To represent the electrical behavior of the distribution networks, a power flow formulation is used which includes voltages, currents, and power as variables via incidence matrix representation. This formulation generates a mixed-integer nonlinear programming (MINLP) model that accurately represents the studied problem. However, in light of the complexities involved in solving this MINLP model efficiently, this research proposes a mixed-integer convex reformulation. Numerical results regarding the final annual operating costs of the network demonstrate that the proposed mixed-integer convex model is efficient for selecting and locating D-STATCOMs in distribution networks, with the main advantage that it is applicable to radial and meshed distribution grid configurations. A comparative analysis with respect to metaheuristic optimizers and convex approximations confirms the robustness of the proposed formulation. All numerical validations were conducted in the MATLAB programming environment with our own scripts (in the case of metaheuristics) and the CVX convex disciplined tool via the Gurobi solver. In addition, the exact MINLP model is solved using the GAMS software. © 2022 by the authors.