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Shaded fraction and backtracking in single-axis trackers on rolling terrain

Journal Article · · Journal of Renewable and Sustainable Energy
DOI:https://doi.org/10.1063/5.0202220· OSTI ID:2560950

A generalized closed-form equation for the shaded collector fraction in solar arrays on rolling or undulating terrain is provided for single-axis tracking and fixed-tilt systems. The equation accounts for different rotation angles between the shaded and shading trackers, cross-axis slope between the two trackers, and offset between the collector plane and axis of rotation. The validity of the equation is demonstrated through comparison with numerical ray-tracing simulations and remaining minor sources of error are quantified. Additionally, a simple procedure to determine backtracking rotations for each row in an array installed on the rolling terrain (varying in the direction perpendicular to the tracker axes) is provided. The backtracking equation accounts for a desired shaded fraction (including complete shade avoidance) as well as an axis-collector offset. Test cases are provided to facilitate implementation of these equations.

Sponsoring Organization:
USDOE
OSTI ID:
2560950
Alternate ID(s):
OSTI ID: 2336641
Journal Information:
Journal of Renewable and Sustainable Energy, Journal Name: Journal of Renewable and Sustainable Energy Journal Issue: 2 Vol. 16; ISSN 1941-7012
Publisher:
American Institute of PhysicsCopyright Statement
Country of Publication:
United States
Language:
English

References (24)

Tracking and back-tracking: Tracking and Back-Tracking journal February 2011
Shadow effect of adjacent solar collectors in large scale systems journal January 1979
The effect of shading on the design of a field of solar collectors journal April 1987
Experimental and numerical investigation of the influence of terrain slope on the performance of single-axis trackers journal October 2023
twoaxistracking – a python package for simulating self-shading of two-axis tracking solar collectors journal January 2022
A simplified model of uniform shading in large photovoltaic arrays journal October 2013
A general expression for the shadow geometry for fixed mode horizontal, step-like structure and inclined solar fields journal March 2019
Data-analysis and modelling of the effect of inter-row shading on the power production of photovoltaic plants journal May 2019
Validation and self-shading enhancement for SoL: A photovoltaic estimation model journal May 2020
Model-based analysis of shading losses in ground-mounted photovoltaic power plants journal March 2021
Measurement and modeling of diffuse irradiance masking on tilted planes for solar engineering applications journal January 2022
Self-shading of two-axis tracking solar collectors: Impact of field layout, latitude, and aperture shape journal April 2022
Impact of backtracking strategies on techno-economics of horizontal single-axis tracking solar photovoltaic power plants journal January 2024
Experimental study of mismatch and shading effects in the – characteristic of a photovoltaic module journal February 2006
Tracker Terrain Loss Part Two journal January 2022
Electrical output of shadowed solar arrays journal August 1971
Control Algorithms for Large-scale Single-axis Photovoltaic Trackers journal January 2012
pvlib python: a python package for modeling solar energy systems journal September 2018
bifacial_radiance: a python package for modeling bifacial solar photovoltaic systems journal June 2020
pvlib python: 2023 project update journal December 2023
Rotation Angle for the Optimum Tracking of One-Axis Trackers report July 2013
SAM Photovoltaic Model Technical Reference 2016 Update report March 2018
Slope-Aware Backtracking for Single-Axis Trackers report July 2020
Shading and Masking of PV Collectors on Horizontal and Sloped Planes Facing South and North—A Comparative Study journal June 2021

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