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A Mathematical Programming Approach for the Optimal Operation of Storage Systems, Photovoltaic and Wind Power Generation

Author

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  • Diego Jose da Silva

    (Center for Engineering, Modeling and Applied Social Sciences (CECS), Federal University of ABC, Santo André 09210-170, SP, Brazil)

  • Edmarcio Antonio Belati

    (Center for Engineering, Modeling and Applied Social Sciences (CECS), Federal University of ABC, Santo André 09210-170, SP, Brazil)

  • Jesús M. López-Lezama

    (Research Group in Efficient Energy Management (GIMEL), Departamento de Ingeniería Eléctrica, Universidad de Antioquia, Calle 67 No. 56-108, Medellin 050010, Colombia)

Abstract

The ever-growing participation of Renewable Energy Sources (RES) in modern distribution networks is replacing an important portion of Conventional Generation (CG), which brings along new challenges in the planning and operation of distribution grids. As RES such as Photovoltaic Energy (PV) and Wind Power Generation (WPG) increase in distribution networks, studies regarding their integration and coordination become more important. In this context, the purpose of this paper is to propose a Multi-period Optimal Power Flow (MOPF) model for the optimal coordination of Battery Energy Storage Systems (BESSs) with PV, WPG, and CG in modern distribution networks. The model formulation was developed in A Modeling Language for Mathematical Programming (AMPL) and solved through the Knitro solver within a time horizon of 24 h. A distinctive feature and one of the main contributions of the proposed approach is the fact that BESSs can provide both active and reactive power. The proposed optimization model reduces power losses and improves voltage profiles. To show the applicability and effectiveness of the proposed model, several tests were carried out on the 33-bus distribution test system and a real distribution system of 141 buses located in the metropolitan area of Caracas. Power loss reductions of up to 58.4% and 77% for the test systems of 33 and 141 buses were obtained, respectively, when BESSs provided both active and reactive power. The results allow us to conclude that the proposed model for optimal coordination of BESSs with RES is suitable for real-life applications, resulting in important reductions of power losses and flattening of voltage profiles.

Suggested Citation

  • Diego Jose da Silva & Edmarcio Antonio Belati & Jesús M. López-Lezama, 2023. "A Mathematical Programming Approach for the Optimal Operation of Storage Systems, Photovoltaic and Wind Power Generation," Energies, MDPI, vol. 16(3), pages 1-24, January.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:3:p:1269-:d:1046016
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    References listed on IDEAS

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    1. Christoph Wenge & Robert Pietracho & Stephan Balischewski & Bartlomiej Arendarski & Pio Lombardi & Przemyslaw Komarnicki & Leszek Kasprzyk, 2020. "Multi Usage Applications of Li-Ion Battery Storage in a Large Photovoltaic Plant: A Practical Experience," Energies, MDPI, vol. 13(18), pages 1-18, September.
    2. Iver Bakken Sperstad & Magnus Korpås, 2019. "Energy Storage Scheduling in Distribution Systems Considering Wind and Photovoltaic Generation Uncertainties," Energies, MDPI, vol. 12(7), pages 1-24, March.
    3. Olabi, A.G. & Wilberforce, Tabbi & Sayed, Enas Taha & Abo-Khalil, Ahmed G. & Maghrabie, Hussein M. & Elsaid, Khaled & Abdelkareem, Mohammad Ali, 2022. "Battery energy storage systems and SWOT (strengths, weakness, opportunities, and threats) analysis of batteries in power transmission," Energy, Elsevier, vol. 254(PA).
    4. Bonginkosi A. Thango & Pitshou N. Bokoro, 2022. "Battery Energy Storage for Photovoltaic Application in South Africa: A Review," Energies, MDPI, vol. 15(16), pages 1-21, August.
    5. Norberto Martinez & Alejandra Tabares & John F. Franco, 2021. "Generation of Alternative Battery Allocation Proposals in Distribution Systems by the Optimization of Different Economic Metrics within a Mathematical Model," Energies, MDPI, vol. 14(6), pages 1-17, March.
    6. Benedetto-Giuseppe Risi & Francesco Riganti-Fulginei & Antonino Laudani, 2022. "Modern Techniques for the Optimal Power Flow Problem: State of the Art," Energies, MDPI, vol. 15(17), pages 1-20, September.
    7. Erfan Mohagheghi & Mansour Alramlawi & Aouss Gabash & Frede Blaabjerg & Pu Li, 2020. "Real-Time Active-Reactive Optimal Power Flow with Flexible Operation of Battery Storage Systems," Energies, MDPI, vol. 13(7), pages 1-17, April.
    8. Mingrui Zhang & Ming Gan & Luyao Li, 2019. "Sizing and Siting of Distributed Generators and Energy Storage in a Microgrid Considering Plug-in Electric Vehicles," Energies, MDPI, vol. 12(12), pages 1-17, June.
    9. Diego José da Silva & Edmarcio Antonio Belati & Eduardo Werley Silva dos Angelos, 2020. "FPAES: A Hybrid Approach for the Optimal Placement and Sizing of Reactive Compensation in Distribution Grids," Energies, MDPI, vol. 13(23), pages 1-18, December.
    10. Muhammad Jabir & Hazlee Azil Illias & Safdar Raza & Hazlie Mokhlis, 2017. "Intermittent Smoothing Approaches for Wind Power Output: A Review," Energies, MDPI, vol. 10(10), pages 1-23, October.
    11. Lukas Held & Felicitas Mueller & Sina Steinle & Mohammed Barakat & Michael R. Suriyah & Thomas Leibfried, 2021. "An Optimal Power Flow Algorithm for the Simulation of Energy Storage Systems in Unbalanced Three-Phase Distribution Grids," Energies, MDPI, vol. 14(6), pages 1-34, March.
    12. Felipe Ramos & Aline Pinheiro & Rafaela Nascimento & Washington de Araujo Silva Junior & Mohamed A. Mohamed & Andres Annuk & Manoel H. N. Marinho, 2022. "Development of Operation Strategy for Battery Energy Storage System into Hybrid AC Microgrids," Sustainability, MDPI, vol. 14(21), pages 1-26, October.
    13. Muhammad Hafeez Mohamed Hariri & Mohd Khairunaz Mat Desa & Syafrudin Masri & Muhammad Ammirrul Atiqi Mohd Zainuri, 2020. "Grid-Connected PV Generation System—Components and Challenges: A Review," Energies, MDPI, vol. 13(17), pages 1-28, August.
    14. Eric Pareis & Eric Hittinger, 2021. "Emissions Effects of Energy Storage for Frequency Regulation: Comparing Battery and Flywheel Storage to Natural Gas," Energies, MDPI, vol. 14(3), pages 1-19, January.
    15. Rafaela Nascimento & Felipe Ramos & Aline Pinheiro & Washington de Araujo Silva Junior & Ayrlw M. C. Arcanjo & Roberto F. Dias Filho & Mohamed A. Mohamed & Manoel H. N. Marinho, 2022. "Case Study of Backup Application with Energy Storage in Microgrids," Energies, MDPI, vol. 15(24), pages 1-12, December.
    16. Fahd A. Alturki & Emad Mahrous Awwad, 2021. "Sizing and Cost Minimization of Standalone Hybrid WT/PV/Biomass/Pump-Hydro Storage-Based Energy Systems," Energies, MDPI, vol. 14(2), pages 1-20, January.
    17. Pereira da Silva, Patrícia & Dantas, Guilherme & Pereira, Guillermo Ivan & Câmara, Lorrane & De Castro, Nivalde J., 2019. "Photovoltaic distributed generation – An international review on diffusion, support policies, and electricity sector regulatory adaptation," Renewable and Sustainable Energy Reviews, Elsevier, vol. 103(C), pages 30-39.
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    Cited by:

    1. Cícero Augusto de Souza & Diego Jose da Silva & Priscila Rossoni & Edmarcio Antonio Belati & Ademir Pelizari & Jesús M. López-Lezama & Nicolás Muñoz-Galeano, 2023. "Multi-Period Optimal Power Flow with Photovoltaic Generation Considering Optimized Power Factor Control," Sustainability, MDPI, vol. 15(19), pages 1-20, September.
    2. 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.

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