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Multi-Objective Dispatch of PV Plants in Monopolar DC Grids Using a Weighted-Based Iterative Convex Solution Methodology

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  • Oscar Danilo Montoya

    (Grupo de Compatibilidad e Interferencia Electromagnética (GCEM), Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 110231, Colombia
    Laboratorio Inteligente de Energía, Facultad de Ingeniería, Universidad Tecnológica de Bolívar, Cartagena 131001, Colombia)

  • Luis Fernando Grisales-Noreña

    (Department of Electrical Engineering, Faculty of Engineering, Universidad de Talca, Curicó 3340000, Chile)

  • Diego Armando Giral-Ramírez

    (Facultad Tecnológica, Universidad Distrital Francisco José de Caldas, Bogotá 110231, Colombia)

Abstract

The design of an efficient energy management system (EMS) for monopolar DC networks with high penetration of photovoltaic generation plants is addressed in this research through a convex optimization point of view. The EMS is formulated as a multi-objective optimization problem that involves economic, technical, and environmental objective functions subject to typical constraints regarding power balance equilibrium, thermal conductor capabilities, generation source capacities, and voltage regulation constraints, among others, using a nonlinear programming (NLP) model. The main characteristic of this NLP formulation of the EMS for PV plants is that it is a nonconvex optimization problem owing to the product of variables in the power balance constraint. To ensure an effective solution to this NLP problem, a linear approximation of the power balance constraints using the McCormick equivalent for the product of two variables is proposed. In addition, to eliminate the error introduced by the linearization method, an iterative solution methodology (ISM) is proposed. To solve the multi-objective optimization problem, the weighted optimization method is implemented for each pair of objective functions in conflict, with the main advantage that in this extreme the Pareto front has the optimal global solution for the single-objective function optimization approach. Numerical results in the monopolar version of the IEEE 33-bus grid demonstrated that the proposed ISM reaches the optimal global solution for each one of the objective functions under analysis. It demonstrated that the convex optimization theory is more effective in the EMS design when compared with multiple combinatorial optimization methods.

Suggested Citation

  • Oscar Danilo Montoya & Luis Fernando Grisales-Noreña & Diego Armando Giral-Ramírez, 2023. "Multi-Objective Dispatch of PV Plants in Monopolar DC Grids Using a Weighted-Based Iterative Convex Solution Methodology," Energies, MDPI, vol. 16(2), pages 1-20, January.
  • Handle: RePEc:gam:jeners:v:16:y:2023:i:2:p:976-:d:1036704
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    References listed on IDEAS

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    1. Iris, Çağatay & Lam, Jasmine Siu Lee, 2021. "Optimal energy management and operations planning in seaports with smart grid while harnessing renewable energy under uncertainty," Omega, Elsevier, vol. 103(C).
    2. López, Andrea Ruíz & Krumm, Alexandra & Schattenhofer, Lukas & Burandt, Thorsten & Montoya, Felipe Corral & Oberländer, Nora & Oei, Pao-Yu, 2020. "Solar PV generation in Colombia - A qualitative and quantitative approach to analyze the potential of solar energy market," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 148, pages 1266-1279.
    3. Percy Andrew Hohne & Kanzumba Kusakana & Bubele Papy Numbi, 2020. "Improving Energy Efficiency of Thermal Processes in Healthcare Institutions: A Review on the Latest Sustainable Energy Management Strategies," Energies, MDPI, vol. 13(3), pages 1-28, January.
    4. Luis Fernando Grisales-Noreña & Jauder Alexander Ocampo-Toro & Andrés Alfonso Rosales-Muñoz & Brandon Cortes-Caicedo & Oscar Danilo Montoya, 2022. "An Energy Management System for PV Sources in Standalone and Connected DC Networks Considering Economic, Technical, and Environmental Indices," Sustainability, MDPI, vol. 14(24), pages 1-25, December.
    5. Yan Xu & Ziqi Hu & Tianxiang Ma, 2022. "Monopolar Grounding Fault Location Method of DC Distribution Network Based on Improved ReliefF and Weighted Random Forest," Energies, MDPI, vol. 15(19), pages 1-23, October.
    6. Iris, Çağatay & Lam, Jasmine Siu Lee, 2019. "A review of energy efficiency in ports: Operational strategies, technologies and energy management systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 112(C), pages 170-182.
    7. López, Andrea Ruíz & Krumm, Alexandra & Schattenhofer, Lukas & Burandt, Thorsten & Montoya, Felipe Corral & Oberländer, Nora & Oei, Pao-Yu, 2020. "Solar PV generation in Colombia - A qualitative and quantitative approach to analyze the potential of solar energy market," Renewable Energy, Elsevier, vol. 148(C), pages 1266-1279.
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    Cited by:

    1. Oscar Danilo Montoya & Federico Martin Serra & Walter Gil-González, 2023. "A Robust Conic Programming Approximation to Design an EMS in Monopolar DC Networks with a High Penetration of PV Plants," Energies, MDPI, vol. 16(18), pages 1-17, September.
    2. Seyed Mohammad Sharifhosseini & Taher Niknam & Mohammad Hossein Taabodi & Habib Asadi Aghajari & Ehsan Sheybani & Giti Javidi & Motahareh Pourbehzadi, 2024. "Investigating Intelligent Forecasting and Optimization in Electrical Power Systems: A Comprehensive Review of Techniques and Applications," Energies, MDPI, vol. 17(21), pages 1-35, October.

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