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Fibonacci solar tree: Mathematical modeling of the solar incidence as a function of its constructive variables

Author

Listed:
  • Grassi, Larissa Bonadiman
  • Marins, Daniela Pawelski Amaro
  • Paim, Juliana Fonseca
  • Palaoro, Lohane Barcelos
  • Segatto, Marcelo Eduardo Vieira
  • Paiva, Marcia Helena Moreira

Abstract

Solar trees are three-dimensional engineered structures that mimic natural trees, with trunks, branches, and photovoltaic leaves, constituting a way of verticalizing solar plants. That is a trend emerging to replace the conventional horizontal system, enabling to generate more energy in a smaller area. However, in a solar tree, there are losses in light capture due to the shading that upper leaves cast over the lower ones. In this work, we propose the configurable Fibonacci Solar Tree design, which is inspired by natural trees and aims to minimize shading losses. In addition, we analyze the behavior of the configurable Fibonacci solar tree in relation to its constructive variables (i.e. height, leaf area, number of leaves, projection radius), and propose a methodology to obtain an equation for the average annual solar incidence as a function of them. For this, automation of the computational simulation process of the efficiency concerning the variables is carried out, obtaining a large volume of instances, which allows the interested party to decide on the best tree according to their criteria. The results are promising, with a Fibonacci solar tree showing solar irradiation 12.8% higher than the best model available in the literature to date.

Suggested Citation

  • Grassi, Larissa Bonadiman & Marins, Daniela Pawelski Amaro & Paim, Juliana Fonseca & Palaoro, Lohane Barcelos & Segatto, Marcelo Eduardo Vieira & Paiva, Marcia Helena Moreira, 2024. "Fibonacci solar tree: Mathematical modeling of the solar incidence as a function of its constructive variables," Renewable Energy, Elsevier, vol. 229(C).
    • Handle: RePEc:eee:renene:v:229:y:2024:i:c:s0960148124007146
    DOI: 10.1016/j.renene.2024.120646
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    References listed on IDEAS

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    1. Dey, Sumon & Lakshmanan, Madan Kumar & Pesala, Bala, 2018. "Optimal solar tree design for increased flexibility in seasonal energy extraction," Renewable Energy, Elsevier, vol. 125(C), pages 1038-1048.
    2. Dey, Sumon & Pesala, Bala, 2020. "Solar tree design framework for maximized power generation with minimized structural cost," Renewable Energy, Elsevier, vol. 162(C), pages 1747-1762.
    3. Vyas, Maharshi & Chowdhury, Sumit & Verma, Abhishek & Jain, V.K., 2022. "Solar Photovoltaic Tree: Urban PV power plants to increase power to land occupancy ratio," Renewable Energy, Elsevier, vol. 190(C), pages 283-293.
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