skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Spectral solar irradiance on inclined surfaces: A fast Monte Carlo approach

Journal Article · · Journal of Renewable and Sustainable Energy
DOI:https://doi.org/10.1063/5.0011635· OSTI ID:1799462

Estimating spectral plane-of-array (POA) solar irradiance on inclined surfaces is an important step in the design and performance evaluation of both photovoltaic and concentrated solar plants. This work introduces a fast, line-by-line spectral, Monte Carlo (MC) radiative transfer model approach to simulate anisotropic distributions of shortwave radiation through the atmosphere as photon bundles impinge on inclined surfaces. This fast Monte Carlo approach reproduces the angular distribution of solar irradiance without the undesirable effects of spatial discretization and thus computes detailed POA irradiance values on surfaces at any orientation and also when surfaces are subjected to the anisotropic ground and atmospheric scattering. Polarization effects are also easily incorporated into this approach that can be considered as direct numerical simulation of the physics involved. Here, we compare our Monte Carlo radiative transfer model with the most widely used empirical transposition model, Perez4, under various conditions. The results show that the Perez4 model reproduces the more detailed Monte Carlo simulations with less than 10% deviation under clear skies for all relevant surface tilt and azimuth angles. When optically thin clouds are present, observed deviations are larger, especially when the receiving surface is strongly tilted. Deviations are also observed for large azimuth angle differences between the receiving surface and the solar position. When optically thick clouds are present, the two models agree within 15% deviation for nearly all surface orientation and tilt angles. The overall deviations are smaller when compared with cases for optically thin clouds. The Perez4 model performs very well (∼6.0% deviation) in comparison with the detailed MC simulations for all cases, thus validating its widespread use for practical solar applications. When detailed atmospheric profiles and cloud optical properties are available, the proposed fast Monte Carlo radiative model reproduces accurate spectral and angular POA irradiance levels for various atmospheric and cloud cover conditions, surface orientations, and different surface and ground properties.

Research Organization:
Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE)
Grant/Contract Number:
EE0008216
OSTI ID:
1799462
Alternate ID(s):
OSTI ID: 1970632
Journal Information:
Journal of Renewable and Sustainable Energy, Vol. 12, Issue 5; ISSN 1941-7012
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (37)

A Fast All-sky Radiation Model for Solar applications with Narrowband Irradiances on Tilted surfaces (FARMS-NIT): Part II. The cloudy-sky model journal August 2019
HITRAN Application Programming Interface (HAPI): A comprehensive approach to working with spectroscopic data journal July 2016
An anisotropic solar irradiance model for tilted surfaces and its comparison with selected engineering algorithms journal January 1987
A new airmass independent formulation for the Linke turbidity coefficient journal September 2002
Estimating Solar Irradiance on Inclined Surfaces: A Review and Assessment of Methodologies journal September 1985
On the effective spectral emissivity of clear skies and the radiative cooling potential of selectively designed materials journal June 2019
Atmospheric radiative transfer modeling: a summary of the AER codes journal March 2005
Henyey–Greenstein and Mie phase functions in Monte Carlo radiative transfer computations journal January 1996
A new simplified version of the perez diffuse irradiance model for tilted surfaces journal January 1987
Trends in ozone, its precursors, and related secondary oxidation products in Los Angeles, California: A synthesis of measurements from 1960 to 2010: OZONE TRENDS IN LA FROM 1960 TO 2010 journal June 2013
Solar Engineering of Thermal Processes book April 2013
Revised optical air mass tables and approximation formula journal January 1989
Direct and indirect uncertainties in the prediction of tilted irradiance for solar engineering applications journal March 2009
The determination of hourly insolation on an inclined plane using a diffuse irradiance model based on hourly measured global horizontal insolation journal January 1977
Improved discrete ordinate solutions in the presence of an anisotropically reflecting lower boundary: Upgrades of the DISORT computational tool journal May 2015
The radiation balance of slopes journal January 1960
The k-distribution method and correlated-k approximation for a shortwave radiative transfer model journal May 1999
Solar radiation on inclined surfaces: Corrections and benchmarks journal October 2016
Radiative transfer for inhomogeneous atmospheres: RRTM, a validated correlated-k model for the longwave journal July 1997
Comparison of discrete ordinate and Monte Carlo simulations of polarized radiative transfer in two coupled slabs with different refractive indices journal January 2013
The Monte Carlo technique applied to radiative transfer journal December 1969
Optimum fixed orientations and benefits of tracking for capturing solar radiation in the continental United States journal March 2011
Anisotropic corrections for the downwelling radiative heat transfer flux from various types of aerosols journal June 2019
A Fast All-sky Radiation Model for Solar applications with Narrowband Irradiances on Tilted surfaces (FARMS-NIT): Part I. The clear-sky model journal November 2018
pvlib python: a python package for modeling solar energy systems journal September 2018
An investigation of the performance of 14 models for estimating hourly diffuse irradiation on inclined surfaces at tropical sites journal August 2016
Empirical validation of models to compute solar irradiance on inclined surfaces for building energy simulation journal February 2007
Monte Carlo and discrete-ordinate simulations of irradiances in the coupled atmosphere-ocean system journal January 2003
Development and recent evaluation of the MT_CKD model of continuum absorption
  • Mlawer, Eli J.; Payne, Vivienne H.; Moncet, Jean-Luc
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 370, Issue 1968 https://doi.org/10.1098/rsta.2011.0295
journal June 2012
Cython: The Best of Both Worlds journal March 2011
Spectral model for clear sky atmospheric longwave radiation journal April 2018
Prediction and validation of cloudless shortwave solar spectra incident on horizontal, tilted, or tracking surfaces journal March 2008
Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media journal January 1988
SCOPE: Spectral cloud optical property estimation using real-time GOES-R longwave imagery journal March 2020
Rayleigh-scattering calculations for the terrestrial atmosphere journal January 1995
Radiative cooling resource maps for the contiguous United States journal May 2019
Importance sampling the Rayleigh phase function journal January 2011