Efficiency of solar tree based on golden ratio

Abstract

The efficiency of a solar tree based on golden ratio was investigated and analyzed. The lengths and angles of the trunks, main branches and sub-branches are designed using the golden ratio principle. A trunk is divided into five ranges based on the Fibonacci sequence, consisting of four main branches and four sub-branches. The angle between the trunk and main branches, main branches and the next main branches, main branches and sub-branches, subbranches and the next sub-branches is equal to 137.5° (golden angle). The solar cells are installed at the ends of all branches along the direction of each branch. The power efficiency of the proposed structure and the land-based fixed angle are compared. The measurement system consists of (a) solar cell electricity measurements (voltage and current) and (b) environment measurements (temperature, humidity, and light intensity). The data are recorded through DAQ cards (PCI 628, Elvis board and USB 6008) which are connected to the LabVIEW program for analyzes and monitors. The experimental results show that the power efficiency of the solar tree based on the golden ratio was more than the land-based fixed angle by 1.295 percent and solar cells positioned at the end of branches (T1) of the trunk can generate most power.