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Solar and Infrared Radiation  Measurements ENERGY AND THE ENVIRONMENT SERIES EDITOR Abbas Ghassemi New Mexico State University PUBLISHED TITLES Hydroelectric Energy: Renewable Energy and the Environment Bikash Pandey and Ajoy Karki Geologic Fundamentals of Geothermal Energy David R. Boden Introduction to Bioenergy Vaughn Nelson and Kenneth Starcher Introduction to Renewable Energy, Second Edition Vaughn Nelson and Kenneth Starcher Environmental Impacts of Renewable Energy Frank R. Spellman Geothermal Energy: Renewable Energy and the Environment, Second Edition William E. Glassley Energy Resources: Availability, Management, and Environmental Impacts Kenneth J. Skipka and Louis Theodore Finance Policy for Renewable Energy and a Sustainable Environment Michael Curley Wind Energy: Renewable Energy and the Environment, Second Edition Vaughn Nelson Solar Radiation: Practical Modeling for Renewable Energy Applications Daryl R. Myers Solar and Infrared Radiation Measurements, Second Edition Frank Vignola, Joseph Michalsky, and Thomas Stoffel Forest-Based Biomass Energy: Concepts and Applications Frank Spellman Solar Energy: Renewable Energy and the Environment Robert Foster, Majid Ghassemi, Alma Cota, Jeanette Moore, and Vaughn Nelson Solar and Infrared Radiation Measurements Second Edition Frank Vignola Joseph Michalsky Thomas Stoffel CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2020 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed on acid-free paper International Standard Book Number-13: 978-1-138-09629-5 (Hardback) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copyright.com (http://www. copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750- 8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Library of Congress Cataloging‑in‑Publication Data Names: Vignola, Frank, 1945- author. | Michalsky, Joseph, author. | Stoffel, Thomas, author. Title: Solar and infrared radiation measurements / Frank Vignola, Joseph Michalsky, Thomas Stoffel. Description: Second edition. | Boca Raton : CRC Press, Taylor & Francis Group, 2020. Identifiers: LCCN 2019013997 | ISBN 9781138096295 (hardback : alk. paper) Subjects: LCSH: Solar radiation--Measurement--Textbooks. | Earth temperature--Measurement--Textbooks. | Radiometers. Classification: LCC QC912 .V56 2020 | DDC 523.7/2--dc23 LC record available at https://lccn.loc.gov/2019013997 Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Dedication We dedicate this book to our wives, Mary Lou Vignola, Randi Michalsky, and Ann Stoffel, who provided encouragement and support while we worked on the manuscript. Contents Preface to the Second Edition ..........................................................................................................xv Preface to the First Edition ............................................................................................................xvii Acknowledgments ...........................................................................................................................xix Authors ............................................................................................................................................xxi Chapter 1 Measuring Solar and Infrared Radiation .....................................................................1 Questions ......................................................................................................................5 References ....................................................................................................................5 Chapter 2 Definitions and Terminology ........................................................................................7 2.1 Introduction .......................................................................................................7 2.2 The Sun ..............................................................................................................7 2.3 Extraterrestrial Radiation ..................................................................................8 2.4 Solar Coordinates ..............................................................................................9 2.5 Zenith, Azimuth, and Hour Angles .................................................................14 2.6 Solar, Universal, and Local Standard Time ....................................................15 2.7 Solar Position Calculation Example ................................................................16 2.8 Sunrise and Sunset Times ...............................................................................20 2.9 Global, Direct Normal, and Diffuse Irradiance ..............................................20 2.10 Solar Radiation on Tilted Surfaces ..................................................................23 2.11 The Spectral Nature of Solar Radiation ..........................................................23 2.12 Fundamentals of Thermodynamics and Heat Transfer ...................................26 2.12.1 Conduction .........................................................................................26 2.12.2 Convection .........................................................................................27 2.12.3 Radiative Heat Transfer .....................................................................28 2.13 Photodiodes and Solar Cell Characteristics ....................................................28 2.14 Models .............................................................................................................30 Questions ....................................................................................................................30 References ..................................................................................................................30 Chapter 3 Historic Milestones in Solar and Infrared Radiation Measurement ..........................33 3.1 Introduction .....................................................................................................33 3.2 Earliest Observations of the Sun and the Nature of Light ...............................33 3.3 Nineteenth-Century Radiometers ....................................................................37 3.3.1 Pouillet’s Pyrheliometer (1837) .........................................................37 3.3.2 Campbell-Stokes Sunshine Recorder (1853, 1879) ............................37 3.3.3 Ångström Electrical Compensation Pyrheliometer (1893) ................38 3.3.4 Callendar Pyranometer (1898) ...........................................................40 3.3.5 Ångström and Tulipan Pyrgeometers (1899) .....................................41 3.4 Operational Radiometers of the Twentieth Century ........................................41 3.4.1 Abbot Silver-Disk Pyrheliometer (1906) ...........................................41 3.4.2 Smithsonian Water-Flow Pyrheliometer (1910) .................................43 3.4.3 Marvin Pyrheliometer (1910) .............................................................43 vii viii Contents 3.4.4 Ångström Pyranometer (1919) ...........................................................44 3.4.5 Kipp & Zonen Solarimeter (1924) .....................................................44 3.4.6 Robitzsch Bimetallic Actinograph (1932)..........................................45 3.4.7 Eppley 180° Pyrheliometer (1930) .....................................................46 3.4.8 Eppley Model PSP (1957) ..................................................................48 3.4.9 Yanishevsky Pyranometer (1957) ......................................................49 3.4.10 Eppley Model NIP (1957) ..................................................................51 3.4.11 Eppley Model Precision Infrared Radiometer (PIR) (1968) ..............53 3.4.12 Primary Absolute Cavity Radiometer (PACRAD) (1969) .................54 3.4.13 Eppley Model 8-48 (1969) .................................................................55 3.4.14 LI-COR Model LI-200SA (1971) ......................................................56 3.4.15 Rotating Shadowband Radiometer (1975) .........................................57 3.4.16 World Standard Group (1979)............................................................60 3.5 Recent Advances in Solar Measurements .......................................................61 3.5.1 Automatic Hickey–Frieden Cavity Radiometer ................................61 3.5.2 Total Irradiance Monitor (TIM) ........................................................63 3.5.3 Cryogenic Solar Absolute Radiometer-Measure the Integral Transmittance (CSAR-MITRA) ........................................................64 3.6 Summary .........................................................................................................65 Questions ....................................................................................................................65 References ..................................................................................................................65 Chapter 4 Direct Normal Irradiance ...........................................................................................69 4.1 Overview of Direct Normal Irradiance ...........................................................69 4.2 Pyrheliometer Geometry .................................................................................72 4.3 Operational Thermopile Pyrheliometers .........................................................74 4.4 Absolute Cavity Radiometers ..........................................................................77 4.5 Uncertainty Analysis for Pyrheliometer Calibration .......................................78 4.6 Uncertainty Analysis for Operational Thermopile Pyrheliometers ................80 4.6.1 Window Transmittance, Receiver Absorptivity, and Temperature Sensitivity .....................................................................81 4.6.2 Solar Zenith Angle Dependence .......................................................81 4.7 Uncertainty Analysis for Rotating Shadowband Radiometer Estimates of Direct Normal Irradiance ............................................................................83 4.8 Direct Normal Irradiance Models ...................................................................84 4.8.1 Ground-Based Modeling ...................................................................84 4.8.2 Satellite Model Estimates ..................................................................84 4.9 Historical and Current Surface-Measured Direct Normal Irradiance Data .......................................................................................86 4.10 Current Issues Regarding Direct Normal Irradiance Measurements ..............88 Questions ....................................................................................................................89 References ..................................................................................................................89 Chapter 5 Broadband Global Irradiance .....................................................................................91 5.1 Introduction to Global Horizontal Irradiance Measurements .........................91 5.2 Black-Disk Thermopile Pyranometers ............................................................97 5.2.1 Thermal Offsets ...............................................................................101 5.2.2 Nonlinearity .....................................................................................103 5.2.3 Spectral Response............................................................................103 Contents ix 5.2.4 Angle of Incidence Response ..............................................................104 5.2.5 Response Degradation.........................................................................107 5.2.6 Temperature Dependence ....................................................................108 5.2.7 Ice and Snow on Dome—Ventilators ..................................................108 5.2.8 An Optical Anomaly ...........................................................................109 5.3 Black-and-White Pyranometers .......................................................................111 5.3.1 Characteristics of Black-and-White Pyranometers .............................111 5.3.2 Lack of Thermal Offset .......................................................................114 5.4 Photodiode-Based Pyranometers ....................................................................115 5.4.1 Characterizing a Photodiode Pyranometer .........................................121 5.4.2 Removing Biases in Photodiode Pyranometer Measurements ...........124 5.4.3 Reference Solar Cells ..........................................................................130 5.5 Calibration of Pyranometers ...........................................................................131 5.5.1 Shade–Unshade Calibration Method ..................................................132 5.5.2 Summation Method Calibration ..........................................................135 5.6 Pyranometer Calibration Uncertainties ...........................................................137 5.6.1 Uncertainty Analysis Applied to Pyranometer Calibration ................139 5.6.2 An Example of the GUM Procedure Applied to the Calibration Uncertainties of a Pyranometer ..........................................................141 5.6.3 Importance of Understanding Limitations of Percent Uncertainties .................................................................................144 Questions ..................................................................................................................145 References ................................................................................................................146 Useful Links .............................................................................................................149 Chapter 6 Diffuse Irradiance ....................................................................................................151 6.1 Introduction .....................................................................................................151 6.2 Atmospheric Scattering Concepts ...................................................................151 6.3 Measuring Diffuse Irradiance .........................................................................153 6.3.1 Fixed Shadowband Measurements of Diffuse Irradiance ...................153 6.3.2 Calculated Diffuse Irradiance versus Shading Disk Diffuse..............155 6.3.3 Rotating Shadowband Diffuse Measurements ....................................156 6.4 Calibration of Diffuse Pyranometers ..............................................................157 6.5 Value of Accurate Diffuse Measurements ......................................................158 Questions ..................................................................................................................159 References ................................................................................................................160 Chapter 7 Solar Spectral Measurements ...................................................................................161 7.1 Introduction .....................................................................................................161 7.2 The Extraterrestrial Solar Spectrum ...............................................................161 7.3 Atmospheric Interactions ................................................................................163 7.3.1 Rayleigh Scattering .............................................................................163 7.3.2 Aerosol Scattering and Absorption .....................................................163 7.3.3 Gas Absorption ...................................................................................165 7.3.4 Transmission of the Atmosphere .........................................................169 7.4 Broad Filter Radiometry ..................................................................................170 7.4.1 Photometry ..........................................................................................170 7.4.2 Photosynthetically Active Radiation (PAR) ........................................173 7.4.3 UVA and UVB ....................................................................................174

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