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Efficient Allocation and Sizing the PV-STATCOMs in Electrical Distribution Grids Using Mixed-Integer Convex Approximation

Author

Listed:
  • Víctor M. Garrido-Arévalo

    (Programa de Ingeniería Eléctrica, Facultad de Ingenierías y Arquitectura, Universidad de Pamplona, Pamplona 760042, Colombia)

  • Walter Gil-González

    (Department of Electrical Engineering, Universidad Tecnológica de Pereira, Pereira 660003, Colombia)

  • Oscar Danilo Montoya

    (Grupo de Compatibilidad e Interferencia Electromagnética (GCEM), Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 110231, Colombia)

  • Harold R. Chamorro

    (School of Electrical Engineering and Computer Science, Kungliga Tekniska Högskolan (KTH) Royal Institute of Technology, Teknikringen 33, 10044 Stockholm, Sweden)

  • Jorge Mírez

    (Group of Mathematical Modeling and Numerical Simulations—GMMNS, Facultad de Ingeniería de Petróleo, Gas Natural y Petroquímica, Universidad Nacional de Ingeniería, Lima 5333, Peru)

Abstract

Photovoltaic (PV) systems are a clean energy source that allows for power generation integration into electrical networks without destructive environmental effects. PV systems are usually integrated into electrical networks only to provide active power during the day, without taking full advantage of power electronics devices, which can compensate for the reactive power at any moment during their operation. These systems can also generate dynamic reactive power by means of voltage source converters, which are called PV-STATCOM devices. This paper presents a convex formulation for the optimal integration (placement and sizing) of PV-STATCOM devices in electrical distribution systems. The proposed model considers reducing the costs of the annual energy losses and installing PV-STATCOM devices. A convex formulation was obtained to transform the hyperbolic relation between the products of the voltage into a second-order constraint via relaxation. Two simulation cases in the two IEEE test systems (33- and 69-node) with radial and meshed topologies were implemented to demonstrate the effectiveness of the proposed mixed-integer convex model. The results show that PV-STATCOM devices reduce the annual cost of energy losses of electrical networks in a more significant proportion than PV systems alone.

Suggested Citation

  • Víctor M. Garrido-Arévalo & Walter Gil-González & Oscar Danilo Montoya & Harold R. Chamorro & Jorge Mírez, 2023. "Efficient Allocation and Sizing the PV-STATCOMs in Electrical Distribution Grids Using Mixed-Integer Convex Approximation," Energies, MDPI, vol. 16(20), pages 1-19, October.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:20:p:7147-:d:1262951
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    References listed on IDEAS

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