Table of Contents
Cover image
Title page
Copyright
Preface
Acknowledgments
Chapter 1. Introduction to concentrating solar power
1.1. Introduction
1.2. Concentrator
1.3. Solar receiver
1.4. Enhancement of capacity factor
1.5. Power block
1.6. Overall system efficiency
1.7. Common types of concentrating solar power technology
Nomenclature
Chapter 2. Solar radiation resource
2.1. Introduction
2.2. Source of solar radiation
2.3. Components of solar radiation
2.4. Position of the sun and direction of beam radiation
2.5. Extraterrestrial radiation and solar radiation on inclined surfaces
2.6. Available solar radiation on the earth's surface
2.7. Attenuation of solar radiation when incident on opaque and transparent surfaces
Chapter 3. Classification of solar receivers
3.1. Introduction
3.2. Geometric design
3.3. Adaptable heat transfer media
Chapter 4. Optical properties of materials for solar receivers
4.1. Introduction
4.2. Transmission of radiation through transparent materials
4.3. Opaque materials
Nomenclature
Chapter 5. Characteristics of heat transfer media
5.1. Introduction
5.2. Conventional heat transfer media
5.3. Advanced heat transfer media
Nomenclature
Chapter 6. Concepts of thermal energy storage and solar receivers
6.1. Introduction
6.2. Sensible thermal energy storage concepts
6.3. Latent thermal energy storage
6.4. High-temperature latent heat storage applications
6.5. Thermochemical energy storage
6.6. Configurations of concentrating solar power plants with thermal storage
Nomenclature
Chapter 7. Thermodynamics of solar receivers
7.1. Introduction
7.2. Laws of thermodynamics
7.3. Energy analysis
7.4. Entropy of a system
7.5. Exergy of solar receivers
Nomenclature
Chapter 8. Hydrodynamics of solar receivers
8.1. Introduction
8.2. Fluid properties
8.3. Hydrodynamic equations
8.4. Characteristics of fluid flows
8.5. Flow stability
8.6. Pressure loss
Nomeclature
Chapter 9. Thermomechanical considerations in solar receivers
9.1. Introduction
9.2. Characteristics of structural materials
9.3. Major structural elements of solar receivers
9.4. Temperature gradients
9.5. Thermomechanical stresses
9.6. Thermomechanical strains
9.7. Thermomechanical properties of materials
Nomenclature
Chapter 10. Modeling and optimization of solar receivers
10.1. Introduction
10.2. Optical performance
10.3. Thermodynamic models
10.4. Hydrodynamic models
10.5. Heat transfer
10.6. Thermomechanical performance
10.7. Discretization of differential equation systems
10.8. Economic performance
10.9. System optimization
10.10. Simulation programs
Chapter 11. Testing of solar receivers
11.1. Introduction
11.2. Measurement of variables for performance evaluation of solar receivers
11.3. Selected standard methods
11.4. Progress in the development of solar receivers Nomenclature
Appendix A. Units of measurement
Appendix B. Selected constants
Appendix C. Properties of selected materials
Index
Copyright
Academic Press is an imprint of Elsevier
125 London Wall, London EC2Y 5AS, United Kingdom
525 B Street, Suite 1650, San Diego, CA 92101, United States
50 Hampshire Street, 5th Floor, Cambridge, MA 02139, United States
The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, United Kingdom
Copyright © 2022 Elsevier Inc. All rights reserved.
No part of this publication may be reproduced or transmi ed in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher. Details on how to seek permission, further information about the Publisher’s permissions policies and our arrangements with organizations such as the Copyright Clearance Center and the Copyright Licensing Agency, can be found at our website: www.elsevier.com/permissions.
This book and the individual contributions contained in it are protected under copyright by the Publisher (other than as may be noted herein).
Notices
Knowledge and best practice in this field are constantly changing. As new research and experience broaden our understanding, changes in research methods, professional practices, or medical treatment may become necessary.
Practitioners and researchers must always rely on their own experience and knowledge in evaluating and using any information, methods, compounds, or experiments described herein. In using such information or methods they should be mindful of their own safety and the safety of others, including parties for whom they have a professional responsibility.
To the fullest extent of the law, neither the Publisher nor the authors, contributors, or editors, assume any liability for any injury and/or damage to persons or property as a ma er of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions, or ideas contained in the material herein.
ISBN: 978-0-323-85271-5
For information on all Academic Press publications visit our website at h ps://www.elsevier.com/books-and-journals
Publisher: Charlo e Cockle
Acquisitions Editor: Edward Payne
Editorial Project Manager: Andrae Akeh
Production Project Manager: Prem Kumar Kaliamoorthi
Cover Designer: Christian Bilbow
Typeset by TNQ Technologies
Preface
Energy plays a vital role in the socio-economic development of any nation, and it can be produced by converting primary or secondary energy sources. For primary sources, energy is directly produced from the actual resource. Secondary energy sources are derived from primary sources. The conversion of primary energy to thermal power requires technologies that come in the form of heat engines.
At present, thermal power plants are predominantly driven by fossil resources. Nevertheless, it has been established that the burning of fossil fuels is contributing to climate change of the earth through the emission of carbon dioxide (a major greenhouse gas) into the atmosphere. Consequently, the international community has initiated various interventions, including the transformation of policy and regulatory instruments, to promote environmental protection. Some of these interventions include the United Nations Framework Convention on Climate Change (UNFCCC) and the Kyoto Protocol. For instance, at the 21st Conference of the Parties to the UNFCCC held in Paris in December 2015, delegates agreed to limit the global temperature rise below 2K (2°C) above the preindustrial levels. Achievement of this goal will require significant reduction in greenhouse gas (GHG) emissions from different sources, including thermal power plants. Moreover, fossil fuels occur in finite quantities and are therefore depletable. In contrast, renewable energy sources are replenished through natural mechanisms and have generally low levels of GHG emissions. In this vein, solar radiation is one of the most important renewable energy sources, that can be converted to solar thermal power by using a suitable heat engine.
Solar thermal power generation is the use of solar thermal energy to generate electricity. The basic feature of a solar thermal power system is to capture heat from solar radiation. In this system, solar radiation is concentrated on a small receiving area to produce medium- to high-temperature heat, and such a thermal power system is commonly known as a concentrating solar power (CSP) system. It comprises three essential components to function: a concentrator, a receiver, and an engine cycle. The concentrator collects and focuses solar radiation on the receiver that converts concentrated solar radiation to heat. The generated heat is evacuated from the receiver to other components of the CSP system by using a heat transfer medium (often a fluid) and then it is used to drive an engine cycle, such as the Rankine or Brayton cycle in the power block, to produce electricity. Thus, the receiver is a linchpin between the concentrator and the power block, and it significantly influences the performance of the whole CSP system. In this book, the terms “receiver” and “solar receiver” are used interchangeably.
CSP plants are classified into four main types: parabolic trough concentrator, linear Fresnel reflector, solar tower, and parabolic dish concentrator. The parabolic trough concentrator and linear Fresnel reflector focus solar radiation on a line receiver, while the solar tower and parabolic dish concentrators focus solar radiation on a point receiver. Generally, line focus receivers a ain lower temperatures than point focus receivers. At present, the solar-toelectric efficiency of CSP systems is in the range of 8%–35%, which is relatively low. The thermodynamic efficiency of the engine cycle and the performance of whole CSP system increase with the receiver outlet temperature. Thus, the evolution of receivers has enormous potential to elevate the performance of CSP power plants.
Many studies have been conducted to improve the performance of solar receivers. Nevertheless, collated information on these advances is scarce in the form of a book. So, the aim of this book is to provide the reader with fundamental and advanced concepts of receivers. It is the first book to pool together the sca ered pieces of knowledge on the various major aspects of receivers, and this is done with
adequate illustrations and coherent treatment. Broad concepts of the CSP technology are introduced in Chapter 1 to provide the context of receivers while Chapter 2 focuses on solar radiation as the major source of heat supplied to the receiver. Different types of receivers have been developed through research over the past decades. Thus, classification of the receivers is necessary, and the main criteria for classifying them are presented in Chapter 3. The performance of different categories of receivers is affected by optical and thermal properties of materials. For instance, it is desirable that transparent cover surfaces should have high transmi ance of the solar spectrum and high reflectance of the infrared radiation, while the solar absorber element of the receiver is supposed to have high absorptance for the solar spectrum and low emi ance for the infrared band to optimize solar collection. Nevertheless, naturally occurring materials with these combinations of optical properties are scarce. Consequently, this has led to the development of new optical materials and concepts as shown in Chapter 4. Similarly, the characteristics of heat transfer media affect the receiver's thermal efficiency. So, Chapter 5 is dedicated to concepts of conventional and advanced heat transfer media. Part of the heat generated by the receiver can be stored for use when insolation is low or not available at all, thereby raising the capacity factor of the CSP system. For high system performance, storage media and systems must possess required characteristics (see Chapter 6). Thermodynamic parameters, such as the energy and exergy of receivers, also influence the overall performance of a CSP system. In view of this, the first major step in the CSP system design is thermodynamic analysis, and the thermodynamic parameters of receivers are presented in Chapter 7. Convective heat transfer is the most important mode of heat transportation from the receiver to other CSP components, and it involves flow of fluids in a receiver. New heat transfer media, such as nanofluids and suspended solid particles, have been developed to improve the rate of heat transportation and, therefore, the thermal efficiency of receivers. However, some of the innovative heat transfer media are presenting new hydrodynamic challenges to the scientific research community.
y y g y Consequently, Chapter 8 has been included to provide the reader with basic and advanced concepts of receiver hydrodynamics. A high temperature of the heat transfer medium, as it exits the receiver, is desirable. Theoretically, some designs of receivers can achieve temperatures of up to 1773K, which is suitable for driving advanced thermodynamic cycles with high thermal efficiency, but most of the CSP plants in the world are currently operating at temperatures below 900K due to the limitation of material characteristics at elevated temperatures. Therefore, the current research direction is to develop materials and concepts that can support operation of receivers at higher temperatures (see Chapter 9). The performance of receivers is influenced by multiple factors, and the impetus to advance receivers is resulting in complex configurations and processes that require suitable computational tools for designing this CSP component. In view of this, featured in Chapter 10 are methods of modeling the optical and thermal performances of different receivers. Finally, results obtained from the process of modeling are often used in constructing prototype systems. However, mathematical models and the process of manufacturing (fabrication) have certain degrees of accuracy. It is therefore imperative to test any new receiver design by using standard methods for testing solar collecting systems to establish its actual performance. In this vein, the last chapter of this book (Chapter 11) contains selected standard test methods and progress in the development of receivers. This chapter includes case studies, and challenges and opportunities around the world.
Chapter 1: Introduction to concentrating solar power
Abstract
Concentrating solar power (CSP) is one of the most promising technologies that can contribute to sustainable production of electricity. Basically, a CSP system comprises a solar field (concentrator and solar receiver) and a power block (heat engine and generator). A solar receiver is a device that converts concentrated solar radiation to heat, which drives a heat engine. Nevertheless, solar radiation is intermi ent, and so, thermal storage and backup heating are strategies for enhancing the dispatchability of CSP-based electricity. One of the most important metrics of the performance of the CSP plant is the solar-to-electric efficiency. At present, the solar-to-electric efficiency is in the range of 8%–35%, which shows that there is still need for improving the efficiencies of the plant components. Consequently, some research a ention is given to the development of solar receivers.
Keywords
Electrical Engineering; Energy engineering; Materials application; Mechanical engineering; Thermodynamics
1.1. Introduction
Concentrating solar power (CSP) is one of the most promising renewable energy technologies for electricity production. It comprises the solar field (concentrator and solar receiver) and power block. The solar receiver is a linchpin between the concentrator and the power block, and it has significant influence on the performance
of the entire CSP system. In view of this, a lot of research a ention has been given to the development of solar receivers. In this chapter, broad concepts about CSP technology are introduced. Section 1.1.1 provides a general sustainability context of electricity generation. It is argued that production of electricity from renewable energy is a promising sustainable pathway for development, and solar radiation has enormous potential for sustainable electricity generation. Major technologies for solar-to-electric conversion are photovoltaic (Section 1.1.2) and CSP (Section 1.1.3).
In a CSP system, the concentration of solar radiation is achieved through the utilization of a concentrator (Section 1.2). Concentrated solar radiation is incident on a solar receiver, which transforms it to heat. Therefore, a solar receiver is one of the most critical components of a CSP system, and it is introduced in Section 1.3. It is also a well-known fact that solar radiation is an intermi ent resource, which results in relatively low capacity factors of solar technologies. So, thermal storage and backup heating are required to enhance the dispatchability of electricity. Particularly, thermal storage is an outstanding advantage of CSP over other generation technologies that are based on intermi ent renewable energy resources. Therefore, the concepts of thermal storage and backup heating are presented in Section 1.4. Heat produced by the receiver is transferred to the power block to generate electricity. In this vein, the concepts of the power block are examined in Section 1.5. Energy efficiency is an important metric for assessing the performance of electricity generation technologies. So, Section 1.6 deals with system efficiency. Finally, the various types of the CSP technology are presented in the last section of this chapter (Section 1.7).
1.1.1. Sustainable production of electricity
Electricity can be generated from different primary energy sources by using a variety of energy conversion technologies. So, there are different competing technologies in the electricity market (Kim et al., 2019), and technologies with lower costs are most preferred from an affordability standpoint. At present, most of the electricity is globally
generated by thermal power plants, and these plants are predominantly driven by fossil fuels (coal, oil, and natural gas), as shown in Fig. 1.1 (International Energy Agency, 2020). Overdependence on fossil fuels is contributing to environmental degradation, and climate change is the major environmental challenge of the 21st century. It has been established that anthropogenic activities are generating greenhouse gases (GHGs) that account for most of the rise in ambient air temperature (Saikku et al., 2008). The burning of fossil fuels is significantly contributing to climate change through the emission of carbon dioxide (major GHG) and other substances (IPCC, 2007). Consequently, the goal of augmenting access to electricity is also linked to climate change policies (van Vuuren et al., 2012) that aim at achieving a balance between anthropogenic emissions by sources and removals by sinks of GHGs by the second half of the 21st century at the global level, including decarbonization of the electricity sector. In this connection, it is argued that carbon-neutral electricity can compete against the largest carbon emi er (coal power) if its generation costs fall below approximately 0.08USD/kWh (International Renewable Energy Agency, 2013). Moreover, fossil fuels are depletable, which poses insecurity to the energy system. It has also been reported that the dominance of a single energy source and system is ultimately unsustainable even if it may be perfect at one time (Li, 2005). In contrast, renewable energy has low intensity of carbon emissions and replenishes itself by natural mechanisms. Consequently, it is perceived as a more sustainable option for developing the electricity sector.

FIGURE 1.1 Global production of electricity by primary energy. Drawn by author using data from International Energy Agency. (2020).
Among the available renewable energy resources in the world, solar radiation has the greatest potential for electricity generation (Pillot et al., 2019), and the major technologies for converting solar energy to electricity are photovoltaic (PV) and CSP.
1.1.2. Photovoltaic technology
A photovoltaic (PV) technology directly converts solar radiation to electricity by using the principle of photoelectric effect (Khan & Arsalan, 2016). The basic building block of the PV system is a solar cell (Fig. 1.2), which is made up of p-type and n-type semiconductor
materials (Tyagi et al., 2013). Incident solar radiation comprises discrete energy packets called photons, and each photon contains energy that depends on the frequency of the radiation. The n-type layer absorbs part of the incident photons, resulting in the creation of excess electrons that flow through the external circuit to the p-type electrode. Thus, conventional current flows from the p-type electrode through the external circuit to the n-type electrode. A group of cells are interconnected to form a module, and modules are assembled to produce an array. The efficiency of PV modules can vary between 10% and 30% (Aberoumand et al., 2018).
To mitigate the intermi ency of the solar resource, PV systems can be integrated with storage ba eries. Thus, many microgrid projects based on PV farms have lately been developed, but only a limited number of them possess large-scale energy storage systems because of the high cost of ba eries (Cen et al., 2018). Due to these constraints, it is perceived that increasing onsite consumption of PVgenerated electricity will become important to preserve the stability of the grid when the global PV market exceeds 76GW (Akbari et al., 2019). Nonetheless, the demand profile of electricity may not match that of the fluctuating supply from PV power plants without storage. In contrast, the development of CSP with thermal storage has already a ained large-scale commercial production of electricity.
FIGURE 1.2 Schematic representation of a solar cell with an external electric load.
1.1.3. Concentrating solar power
Solar radiation can be converted to solar thermal power by using a suitable technology, and the use of solar thermal energy to generate electricity is known as solar thermal power generation. The concentrating solar power (CSP) technolgy generates electricity by utilizing heat from solar radiation (Dowling et al., 2017). A basic CSP system comprises a solar field and a power block, and the solar field is made up of a concentrator and a receiver (Fig. 1.3). The receiver
converts concentrated solar radiation to heat. Part of this heat is transferred to the engine, while a fraction of it may be stored and utilized later during the night (or when the level of insolation is low). It is also possible to integrate a CSP power plant with a backup heater in order to enhance the capacity factor of the plant (see Section 1.4). Research is still going on to improve the performance of the CSP system.
Technology is developed in stages from conceptualization of the idea to commercialization, and the degree of maturity increases with stage number. Technology maturity is a good indicator of the closeness of a technology to commercial application (Selman & Chen, 2012). In this context, CSP is a matured technology, with commercial power plants operating in different parts of the world. The weighted average levelized cost of CSP-based electricity dropped from 0.346 USD/kWh in 2010 to 0.182 USD/kWh in 2019 and predicted to decline further to 0.075 USD/kWh for projects commissioned in 2021 (International Renewable Energy Agency, 2020b). These data show that CSP is currently uncompetitive with coal (0.080 USD/kWh), but it is expected to a ain parity with this fossil fuel in future. Nevertheless, CSP is competitive with other fossil-fuel technologies such as gas turbines and diesel generators at present (Labordena et al., 2017). In this vein, the global cumulative capacity of the CSP technology has been increasing over the past decade, reaching a level of 6289MW in 2019 as shown in Fig. 1.4 that is based on data from (International Renewable Energy Agency, 2020a).

FIGURE 1.3 Components of a basic concentrating solar power system.
1.2. Concentrator
A concentrator is an optical device that focuses solar radiation from the sun onto a small area of the receiver. It is made up of a set of reflecting mirrors (or lenses). The plane opening of the concentrator through which solar radiation passes is referred to as an aperture. In this vein, the aperture of a point concentrator is characterized by the diameter of the opening, while the aperture of a linear concentrator is characterized by the width of the opening.
FIGURE 1.4 World cumulative capacity of concentrating solar power. Drawn by author using data from International Renewable Energy Agency (2020a).
1.2.1. Classification of concentrators
Concentrators are classified into imaging and nonimaging categories. In imaging systems, parallel rays from the sun are focused on a line or point. Linear concentrators such as the parabolic trough and linear Fresnel reflector (LFR) are imaging concentrators that focus solar radiation on a line. Linear imaging concentrators with parabolic cross section are exploited in applications requiring intermediate concentration ratios and temperatures. Circular concentrators such as the parabolic dish and solar tower (ST) are imaging concentrators that focus solar radiation on a point, and these systems are utilized in applications that require high concentration ratios and temperatures.
On the other hand, nonimaging concentrators do not form an image of the sun, and they have a low concentration ratio. Consequently, they are not suitable for use in industrial applications that require a high range of temperature such as driving engine
cycles to generate electricity. These concentrators can operate seasonally or annually with negligible need of tracking. In addition, nonimaging concentrators can reflect to the receiver all of the incident solar radiation on the aperture across ranges of incidence angles within broad limits (Duffie & Beckman, 2013). The acceptance angle of the concentrator is defined by these limits. Even the diffuse radiation within these angles contributes to the input solar energy to the collector because all the radiation incident within the acceptance angle is reflected to the receiver. A compound parabolic concentrator is an example of nonimaging concentrators. This system can harness both beam and diffuse components of solar radiation, and it can be operated without sun tracking.
1.2.2. Concentration ratio
The concentration ratio of a concentrator (Cr) can be defined in two ways (Ameer & Shahad, 2017). The first definition is based on the geometry of the concentrator, and it is therefore called the geometric or area concentration ratio, while the second definition is based on the radiation intensity, and it is known as the intensity or flux concentration. The area concentration (Cr,area) is the ratio of the effective area of the aperture to the surface area of the absorber:
(1.1)
The upper limit of Cr,area depends on the number of dimensions of concentration. A two-dimensional (linear) concentrator such as a parabolic trough focuses radiation on a line, while a threedimensional concentrator such as a parabolic dish focuses radiation on a point. There is an upper limit of the concentration ratio, and this limit is derived from the second law of thermodynamics applied to the radiative heat exchange between the sun and the receiver (Rabl, 1976). Suppose a circular concentrator with aperture area (Aap) focuses radiation from the sun of radius (r) onto a receiver area (Arec) as shown in Fig. 1.5. The concentrator is located at distance R from the sun that subtends an angle 2θs on the concentrator.
FIGURE 1.5 Schematic representation of sun at a temperature Ts and distance R from a concentrator with aperture area Aap and receiver area Arec. Adapted from Rabl (1976).
Assuming the concentrator is perfect, then the aperture intercepts a proportion of the radiation emi ed by the sun. For approximate analysis, the sun can be assumed to be a blackbody at a temperature T=Ts: