Abstract

Sunlight incident on the Earth’s atmosphere is essential for life, and it is the driving force of a host of photo-chemical and environmental processes, such as the radiative heating of the atmosphere. We report the description and application of a physical methodology relative to how an ensemble of very low-cost sensors (with a total cost of <$20, less than 0.5% of the cost of the reference sensor) can be used to provide wavelength resolved irradiance spectra with a resolution of 1 nm between 360–780 nm by calibrating against a reference sensor using machine learning. These low-cost sensor ensembles are calibrated using machine learning and can effectively reproduce the observations made by an NIST calibrated reference instrument (Konica Minolta CL-500A with a cost of around USD 6000). The correlation coefficient between the reference sensor and the calibrated low-cost sensor ensemble has been optimized to have 0.99. Both the circuits used and the code have been made publicly available. By accurately calibrating the low-cost sensors, we are able to distribute a large number of low-cost sensors in a neighborhood scale area. It provides unprecedented spatial and temporal insights into the micro-scale variability of the wavelength resolved irradiance, which is relevant for air quality, environmental and agronomy applications.

Highlights

  • The goal of this study is to provide an accurately calibrated low-cost wavelength resolved irradiance sensor, which is helpful for biometric pupillometry [14] applications, and is suitable to address the current lack of neighborhood scale real-time solar irradiance data by the provision of very low-cost calibrated measurements

  • We proposed a machine learning method, which works with some low-cost light sensors, in order to achieve competitive performance as well as high-resolution spectrophotometers

  • Machine learning was used to calibrate the inputs provided by the suite of low-cost sensors against the reference sensor

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Summary

Motivation

The goal of this study is to provide an accurately calibrated low-cost wavelength resolved irradiance sensor, which is helpful for biometric pupillometry [14] applications, and is suitable to address the current lack of neighborhood scale real-time solar irradiance data by the provision of very low-cost calibrated measurements. These sensors can be readily deployed at a scale across dense urban environments in order to measure the wavelength resolved irradiance. The plans and circuit diagrams for building these sensors, as well as the calibration code, are publicly available

Solar Irradiance
Measurements and Data Sets
Machine Learning and Workflow
Data Preprocessing
Input Features and Output Targets
Artificial Neural Network
Workflow
Machine Learning for Low-Cost Light Sensor Calibration of Wavelength
The Relative Importance of the Machine Learning Inputs
Shapley Value
Feature Importance
Applying the Calibration to Provide an Irradiance Spectrum
The Observed Diurnal Variation in Wavelength Resolved Irradiance
Findings
Conclusions

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