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

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

Renewable Energy, 2024, vol. 229, issue C

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.

Keywords: Solar trees; Fibonacci sequence; Configurable Fibonacci solar tree; Shading; Average annual solar incidence; Constructive factors; Mathematical modeling of the average annual solar incidence (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960148124007146
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:renene:v:229:y:2024:i:c:s0960148124007146

DOI: 10.1016/j.renene.2024.120646

Access Statistics for this article

Renewable Energy is currently edited by Soteris A. Kalogirou and Paul Christodoulides

More articles in Renewable Energy from Elsevier
Bibliographic data for series maintained by Catherine Liu ().