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Dynamic Reactive Power Compensation in Power Systems through the Optimal Siting and Sizing of Photovoltaic Sources

Author

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  • Andrés Felipe Buitrago-Velandia

    (Ingeniería Eléctrica, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia)

  • Oscar Danilo Montoya

    (Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 11021, Colombia
    Laboratorio Inteligente de Energía, Universidad Tecnológica de Bolívar, Cartagena 131001, Colombia)

  • Walter Gil-González

    (Facultad de Ingeniería, Institución Universitaria Pascual Bravo, Campus Robledo, Medellín 050036, Colombia)

Abstract

The problem of the optimal placement and sizing of photovoltaic power plants in electrical power systems from high- to medium-voltage levels is addressed in this research from the point of view of the exact mathematical optimization. To represent this problem, a mixed-integer nonlinear programming model considering the daily demand and solar radiation curves was developed. The main advantage of the proposed optimization model corresponds to the usage of the reactive power capabilities of the power electronic converter that interfaces the photovoltaic sources with the power systems, which can work with lagging or leading power factors. To model the dynamic reactive power compensation, the η -coefficient was used as a function of the nominal apparent power converter transference rate. The General Algebraic Modeling System software with the BONMIN optimization package was used as a computational tool to solve the proposed optimization model. Two simulation cases composed of 14 and 27 nodes in transmission and distribution levels were considered to validate the proposed optimization model, taking into account the possibility of installing from one to four photovoltaic sources in each system. The results show that energy losses are reduced between 13% and 56% as photovoltaic generators are added with direct effects on the voltage profile improvement.

Suggested Citation

  • Andrés Felipe Buitrago-Velandia & Oscar Danilo Montoya & Walter Gil-González, 2021. "Dynamic Reactive Power Compensation in Power Systems through the Optimal Siting and Sizing of Photovoltaic Sources," Resources, MDPI, vol. 10(5), pages 1-17, May.
    • Handle: RePEc:gam:jresou:v:10:y:2021:i:5:p:47-:d:552430
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    1. Mena, Rodrigo & Hennebel, Martin & Li, Yan-Fu & Zio, Enrico, 2014. "Self-adaptable hierarchical clustering analysis and differential evolution for optimal integration of renewable distributed generation," Applied Energy, Elsevier, vol. 133(C), pages 388-402.
    2. Streimikiene, Dalia & Klevas, Valentinas, 2007. "Promotion of renewable energy in Baltic States," Renewable and Sustainable Energy Reviews, Elsevier, vol. 11(4), pages 672-687, May.
    3. Pesaran H.A., Mahmoud & Nazari-Heris, Morteza & Mohammadi-Ivatloo, Behnam & Seyedi, Heresh, 2020. "A hybrid genetic particle swarm optimization for distributed generation allocation in power distribution networks," Energy, Elsevier, vol. 209(C).
    4. Huy, Phung Dang & Ramachandaramurthy, Vigna K. & Yong, Jia Ying & Tan, Kang Miao & Ekanayake, Janaka B., 2020. "Optimal placement, sizing and power factor of distributed generation: A comprehensive study spanning from the planning stage to the operation stage," Energy, Elsevier, vol. 195(C).
    5. Rutherford, Thomas F., 1995. "Extension of GAMS for complementarity problems arising in applied economic analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 19(8), pages 1299-1324, November.
    6. Minhan Yoon & Jaehyeong Lee & Sungyoon Song & Yeontae Yoo & Gilsoo Jang & Seungmin Jung & Sungchul Hwang, 2019. "Utilization of Energy Storage System for Frequency Regulation in Large-Scale Transmission System," Energies, MDPI, vol. 12(20), pages 1-13, October.
    7. Naghiloo, Ahmad & Abbaspour, Majid & Mohammadi-Ivatloo, Behnam & Bakhtari, Khosro, 2015. "GAMS based approach for optimal design and sizing of a pressure retarded osmosis power plant in Bahmanshir river of Iran," Renewable and Sustainable Energy Reviews, Elsevier, vol. 52(C), pages 1559-1565.
    8. Mundo-Hernández, Julia & de Celis Alonso, Benito & Hernández-Álvarez, Julia & de Celis-Carrillo, Benito, 2014. "An overview of solar photovoltaic energy in Mexico and Germany," Renewable and Sustainable Energy Reviews, Elsevier, vol. 31(C), pages 639-649.
    9. Bilal Ahmad Bhatti & Robert Broadwater & Murat Dilek, 2020. "Analyzing Impact of Distributed PV Generation on Integrated Transmission & Distribution System Voltage Stability—A Graph Trace Analysis Based Approach," Energies, MDPI, vol. 13(17), pages 1-15, September.
    10. Neculai Andrei, 2013. "Nonlinear Optimization Applications Using the GAMS Technology," Springer Optimization and Its Applications, Springer, edition 127, number 978-1-4614-6797-7, December.
    11. Naval, Natalia & Sánchez, Raul & Yusta, Jose M., 2020. "A virtual power plant optimal dispatch model with large and small-scale distributed renewable generation," Renewable Energy, Elsevier, vol. 151(C), pages 57-69.
    12. Walter Gil-González & Oscar Danilo Montoya & Luis Fernando Grisales-Noreña & Alberto-Jesus Perea-Moreno & Quetzalcoatl Hernandez-Escobedo, 2020. "Optimal Placement and Sizing of Wind Generators in AC Grids Considering Reactive Power Capability and Wind Speed Curves," Sustainability, MDPI, vol. 12(7), pages 1-20, April.
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    1. David Steveen Guzmán-Romero & Brandon Cortés-Caicedo & Oscar Danilo Montoya, 2023. "Development of a MATLAB-GAMS Framework for Solving the Problem Regarding the Optimal Location and Sizing of PV Sources in Distribution Networks," Resources, MDPI, vol. 12(3), pages 1-19, March.

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