Geometric, optical and thermal analysis for solar parabolic trough concentrator efficiency improvement using the Photogrammetry technique under semi-arid climate

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Energy Procedia 157 Energy Procedia 00(2019) (2017)1050–1060 000–000 www.elsevier.com/locate/procedia

Technologies and Materials for Renewable Energy, Environment and Sustainability, TMREES18, Technologies and Materials for Renewable Energy, and Sustainability, TMREES18, 19–21 September 2018,Environment Athens, Greece 19–21 September 2018, Athens, Greece

Geometric, optical and thermal analysis for solar parabolic trough 15th International Symposium on District Cooling trough Geometric,Theoptical and thermal analysis forHeating solar and parabolic concentrator efficiency improvement using the Photogrammetry concentrator efficiency improvement using the Photogrammetry technique under semi-arid climate Assessing the feasibility of using the heat demand-outdoor technique under semi-arid climate temperature function for a long-term district heat demand forecast Massaab El Ydrissi a,b,*, Hicham Ghennioui a, El Ghali Bennouna b and Abdi Farid a a,b,* a a Massaab El Ydrissi Hicham Ghennioui , El Ghali Bennouna bc and Abdi Farid a,b,c of Signals,,Systems, a Sidi Mohamed b Abdellah Laboratory Components, University, Fez, Morocco I. Andrić *, A. Pinaa, P.andFerrão , J. FournierBen ., B. Lacarrière , O. Le Correc a

Research Institute Solar Energy and New Energies, Rabat, Morocco Laboratory of Signals, Systems, andin Components, Sidi Mohamed Ben Abdellah University, Fez, Morocco b IN+ Center for Innovation, Technology PolicyinResearch - Instituto Superior Técnico, Av. Morocco Rovisco Pais 1, 1049-001 Lisbon, Portugal Researchand Institute Solar Energy and New Energies, Rabat, b Veolia Recherche & Innovation, 291 Avenue Dreyfous Daniel, 78520 Limay, France c Abstract Département Systèmes Énergétiques et Environnement - IMT Atlantique, 4 rue Alfred Kastler, 44300 Nantes, France a

b

a

Abstract The investment of renewable energy, especially the solar energy, seems to be the real alternative and the potential solutions for the fuelofenergy due energy, to its pollutant andthelimited source. seems Therefore, performance the main criteriafor to The classical investment renewable especially solar energy, to bethe thecost real and alternative and theare potential solutions Abstract assess a solar fuel power plant.due Thetopurpose of this and worklimited is to evaluate optical and of aare solar Trough the classical energy its pollutant source. the Therefore, the thermal cost andefficiencies performance theParabolic main criteria to Concentrated (PTC) plant. installed the Green Energy research platform Benguerir, Morocco. order to improve the assess a solar power Theinpurpose of this workPark is to(GEP) evaluate the optical and in thermal efficiencies of aIn solar Parabolic Trough Districtefficiency heating networks arein commonly addressed the literature as one of of in theBenguerir, most effective solutions the optical of installed the system, an Green opticalEnergy qualification is necessary the difficulties of handling theforglasses and the Concentrated (PTC) the Parkin(GEP) researchbecause platform Morocco. In order todecreasing improve greenhouse gas emissions from the optical building sector. an These systems require are returned throughand the the heat deformations from design. In thisqualification sense, experimental study high was carried out which using the robust optical efficiency ofthe theideal system, an is necessary because of investments the difficulties of handling thePhotogrammetry glasses sales. Due tofrom the the changed climate conditions andanbuilding renovation heat demand future could measurement technique to perform thethis geometrical and optical errors of the solarout concentrating system. Slopedecrease, error, deformations ideal design. In sense, experimental studypolicies, was carried using inthetherobust Photogrammetry prolonging the investment return period. misalignment and receiver position has beenand identified analyzed. Moreover, the intercept system. factor andSlope the optical measurement error, technique to perform the error geometrical opticaland errors of the solar concentrating error, The main of scope this paper is according to assess the using measurements theand heatanalyzed. demandgiven –Moreover, outdoor temperature function for heat demand efficiency the ofPTC to feasibility the by the Photogrammetry were misalignment error, and system receiver position error hasexperimental beenofidentified the intercept factor technique and the optical forecast. The district Alvalade, locatedtoof inthe Lisbon was used as a case study. The district is consisted of 665 determined. theof thermal efficiency the PTC(Portugal), according to results obtained weather conditions climate of efficiency ofFinally, the PTC system according experimental measurements given byand thethe Photogrammetry technique were buildings that vary in both construction period and typology. Three weather scenarios (low, medium, high) and three district Benguerir extracted an accurate meteorological station have been performed and analyzed. The results obtainedclimate show the determined.city Finally, the by thermal efficiency of the PTC according to results obtained and the weather conditions of renovation scenarios were developed (shallow, intermediate, deep). Toperformed estimate the obtained heat demand relevant impact of the optical efficiency on the thermal energy the plant performance. Benguerir city extracted by an accurate meteorological station and have been anderror, analyzed. The results obtainedvalues show were the compared withof results from aefficiency dynamic heat demand developed and validated by the authors. relevant impact the optical on the thermalmodel, energypreviously and the plant performance. results showed that when only weatherLtd. change is considered, the margin of error could be acceptable for some applications ©The 2018 The Authors. Published by Elsevier ©(the 2019 The by Ltd. inAuthors. annual demand was lower all weather scenarios considered). However, after introducing renovation This iserror an open accessPublished article under the CCthan BY-NC-ND (https://creativecommons.org/licenses/by-nc-nd/4.0/) © 2018 The Authors. Published by Elsevier Elsevier Ltd.20% for license This is an open accessvalue article under theupCC BY-NC-ND license on (https://creativecommons.org/licenses/by-nc-nd/4.0/) scenarios, the error increased to 59.5% (depending the weather and renovation considered). Selection under responsibility of the scientific of Technologies andscenarios Materialscombination for Renewable Energy, This is an and openpeer-review access article under the CC BY-NC-ND license committee (https://creativecommons.org/licenses/by-nc-nd/4.0/) Selection andofpeer-review under responsibility of the scientific committee of3.8% Technologies and Materials for Renewable Energy, The value slope coefficient increased on average within the range of up to 8% per decade, that corresponds to the Environment and Sustainability, TMREES18. Selection and and peer-review under TMREES18. responsibility of the scientific committee of Technologies and Materials for Renewable Energy, Environment Sustainability, decrease in the number of heating hours of 22-139h during the heating season (depending on the combination of weather and Environment and Sustainability, TMREES18. renovation scenarios considered). On the other hand, function intercept increased for 7.8-12.7% per decade (depending on the Keywords: Photorgrammetry; Optical efficiency; Slope errors ; Intercept factor; Solar concentrator ; Thermal efficiency. coupled scenarios). The values suggested could be used to modify the function parameters for the scenarios considered, and Keywords: Photorgrammetry; Optical efficiency; Slope errors ; Intercept factor; Solar concentrator ; Thermal efficiency. improve the accuracy of heat demand estimations. * Corresponding author.E-mail address: [email protected]

* Corresponding author.E-mail address: [email protected] © 2017 The Authors. Published by Elsevier Ltd. Peer-review under responsibility of the Scientific Committee of The 15th International Symposium on District Heating and Cooling. 1876-6102 © 2018 The Authors. Published by Elsevier Ltd. Keywords: Heat demand; Forecast; Climate change license (https://creativecommons.org/licenses/by-nc-nd/4.0/) This is an open access under the CC BY-NC-ND 1876-6102 © 2018 Thearticle Authors. Published by Elsevier Ltd. Selection under responsibility of the scientific of Technologies and Materials for Renewable Energy, Environment This is an and openpeer-review access article under the CC BY-NC-ND licensecommittee (https://creativecommons.org/licenses/by-nc-nd/4.0/) and Sustainability, TMREES18. Selection and peer-review under responsibility of the scientific committee of Technologies and Materials for Renewable Energy, Environment and Sustainability, TMREES18. 1876-6102 © 2017 The Authors. Published by Elsevier Ltd. 1876-6102 © 2019 The Authors. Published by Elsevier Ltd. Peer-review under responsibility of the Scientific Committee of The 15th International Symposium on District Heating and Cooling. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/) Selection and peer-review under responsibility of the scientific committee of Technologies and Materials for Renewable Energy, Environment and Sustainability, TMREES18. 10.1016/j.egypro.2018.11.272

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1. Introduction Renewable energy generation is becoming more dominant recently due to the limited fossil fuels source and to the impact of the dioxide emissions on the global climate change. The solar energy is a clean, affordable and abundant source to cover the big electrical demands of the society and the industrial sector. In this sense, the Concentrated Solar Power (CSP) technology is the most promising candidate to provide the majority of this renewable energy sources which widely used in many applications such as the electrical production, solar desalination, solar cooling, hot water supply, and others applications [1–3]. The solar collectors can produce a high temperature (up 400 °C) reached high thermal efficiency especially in the countries with a high solar irradiation level as Morocco [4,5]. The main commercially CSP technologies are separated into two kinds: the line focus technology as the Parabolic Trough Collectors (PTC) and the Linear Fresnel Collectors (LFC). The second kind is the point focus technology presented by the parabolic dish and central receiver tower [6–8]. Moreover, the PTC technology is the most used for heating the HTF at high temperature (over 400°C) and also for others applications that require medium tempeture [100 to 250°C] such as cooling, evaporating and cooking. The principal idea of this technology is to collect the sunlight received in aperture area of the collector and then concentrate the parallel solar radiation on the focal line which a tube absorber is located. The heat energy of the HTF circulate inside the receiver will then converted to thermal energy and finally to electrical energy. The thermal efficiency of a solar concentrator is affected by several parameters leading to significant optical losses and then reducing the thermal energy reached by the receiver. Moreover, the investigations and analyzes of the geometric parameters and the optical proprieties of the materials composing the collector are important for evaluating the geometric concentration ration and characterizing the optical losses of the mirrors used. Furthermore, while the solar concentrators are located in the open field and exposed to real strong conditions, the wind effects, tracking errors and soiling phenomena also have an impact on the thermal efficiency of the solar collectors and then on the whole power plant efficiency since the solar field constitute up 60% of the total investment part of the plant. According to the literature, the wind effect on the thermal efficiency was studied by Hachicha et al [9], the influence of the design parameters and the manufacturing factors on the technical performance of the PTC was analyzed by Clark [10]. In additions, some optical studies have been proposed, including optical errors and their effect on the optical and thermal energy losses. Binotti et al.[11] proposed the FirstOPTIC tool to evaluate and simulate the impact of the geometric and optical performance of a PTC system. However, the various optical studies give only an optical simulation using the ray tracing algorithms or models and not taking into account the real imperfections and aberrations of the mirrors used. For this, the necessity of a robust technique such as the photogrammetry or the deflectometry technique is important to experimentally calculate the real slope errors and deviations from the ideal design. A few of studies in this sense have been carried out, El Ydrissi et al.[12] proposed a geometric and optical study of a PTC system using the Deflectometry technique, in which the optical errors were determined and analyzed giving their impact on the thermal efficiency. The main objectives of this work are the geometric and optical efficiency study of a solar parabolic trough collector installed and assembled at the GEP research platform in Benguerir, Morocco. The accurate photogrammetry measurements technique was used to experimentally calculate and identify the slope errors and the deformations from the ideal design. These results are then used to determine the intercept factor and the optical efficiency of the system taking into account the real imperfections of the mirrors used to compose the collector. Moreover, the DNI data extracted by an accurate meteorological station installed at the research platform is used to analyze and evaluate the thermal energy of the system.

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Nomenclature

L 

  

 f

D0

cl

K

𝐴𝐴�� 𝑋𝑋����� 𝑛𝑛������� 𝑛𝑛������ 𝑛𝑛�����

VSHOT FirstOPTIC NREL GEP HTF PTC LFC CSP DNI

Length of the collector Reflectivity of the mirror Transmittance of the receiver glass envelope Absorptance of the absorber tube Intercept factor Rim angle Focal length Aperture width Cleanliness factor Incident Angle Modifier or IAM Net collecting surface Availability of the solar field Optical endloss efficiency Efficiency from mutual shadowing Optical efficiency for perpendicular sun on the collector Video Scanning Hartmann Optical Tester First-principle OPTical Intercept Calculation National Renewable Energy Laboratory Green Energy Park Heat Transfer Fluid Parabolic Trough Collectors Linear Fresnel Collectors Concentrated Solar Power Direct Normal Irradiation

2. Geometric analysis of Parabolic Trough Concentrator A parabolic trough collector was installed, assembled and tested at the GEP platform research in Benguerir city, Morocco. The GEP has several CSP projects installed on the site: 1MWe solar power plant based on Fresnel technology with thermal storage, test loop system based on parabolic trough collector for testing and characterizing different HTF, and various other projects such as hybrid applications. The idea to develop a PTC with important geometrical parameters in order to improve the geometric concentration ratio was done. The proposed parabolic trough collector has a focal line equal to 2.75m , an aperture area 16.886m 2 and 0.208m 2 for receiver area. The geometric concentration ratio corresponding to the ratio of the aperture area and the receiver area is 81 . The PTC is composed of four facets, each facet having a geometric dimension equal to 3230  1000 mm and mounted on strong structures able of supporting the weight load of these long mirrors and prohibiting the handling of the glass (see Fig. 2). Especially, the exposed collector with a large aperture area is more affected by the wind loads and may affect the accuracy of the sun tracking unit. So, the collector has to be constructed in such a way to avoid the important geometrical deviations from the ideal shape design that causes optical efficiency losses. Therefore, a preliminary study of the geometric of the parabola is important to reach the geometric concentration ratio and to define the shape of the parabola and length of the module desired. The main geometric parameters of a PTC are as follows (Fig. 1):

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   

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The collector length ( L) . The focal length ( f ) which present the distance between the vertex of the parabola and the focal point. The rim angle ( ) described by the angle between the optical axis and the line connecting the focus to edge of the parabola. The aperture width ( D0 ) is the distance between one rim and the other which describe the opening of the parabola.

Fig.1. The geometric parameters of a parabolic trough collector.

These geometrical parabolic trough parameters are necessary to characterize the form, size and the section of the parabolic trough. A small rim angles require a longer focal length and make a flat trough, contrariwise to a large rim angles that make a curved cross-section with a small focal length, generally the parabola with a large rim angles reach high level of concentration related to the parabola with a longer focal length which the beam spared is important. The mathematical equation of the parabola is presented bellow and the geometric parameters of the PTC studied are mentioned in Table 1. z

1 2 y 4f

(1) Table 1. The geometric parameters of the PTC. Parameter

Quantity

Unit

Length module

2.61

Focal length

2.75

Aperture width

6.47

Facet dimension

3230*1000

Number of facets used

4

m m m mm --

3. Optical evaluation of Parabolic Trough Concentrator 3.1. The optical proprieties The optical proprieties of the mirrors used and the tube absorber are very important for increasing the concentration ratio and reaching a high level of tempeture inside the tube absorber in order to increase the reflectivity of the mirrors and to reduce the thermal losses on the tube absorber. Nevertheless, by choosing an

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appropriate geometric parameters and structure design, the optical proprieties remain the most determining parameter for optical efficiency and intercept factor which represents the percentage of the radiation reflected by the concentrator and that reaches the absorber. In CSP applications, reflectivity is the main appropriate mirror materials which indicate the fraction of incident solar radiation reflected by the mirror. In general, there are two different kinds of reflection: the first one is the specular reflection, which means that incoming radiation in one direction will be reflected by the surface or the mirror into a single outgoing direction. The other kind is the diffuse reflection representing a broad range of directions reflected when a light reaches the surface in one direction. In solar concentrators systems, only the specular reflectivity is interesting since the directions of reflected sunlight should be defined. On the other hand, the choice of the tube absorber diameter and the optical properties of the glass tube are also significant, an optimization study to find the appropriate absorber diameter is necessary in order to achieve a high average intercept factor minimizing the thermal energy losses produced by convective and conductive heat loss. The studied PTC assembled at the GEP platform research is under test for evaluating its optical efficiency, the PTC is covered with high reflectivity values of the glass used up 96 % and adequate optical proprieties of the absorber tube and the glass covering it. The Fig. 2 shows the PTC studied composed of four parabolic facets mounted on a solid structures supporting their weight loads and minimizing the geometrical deviations.

Fig. 2. The parabolic trough collector assembled at the GEP

The optical efficiency is strongly affected by the optical errors due to the manufacturing and the installation errors, the difficulties in handling the glass and make a parabola form are a challenging task and require a high precision equipment. Small deviations from the ideal design can have a large impact on the intercept factor reducing the ratio of the concentrated sunlight on the tube receiver. According to the literature, the overall optical error can be expressed by the summation of the specularity error, slope error, and misalignment error called also shape error (Equation 2) [13]. The specularity error is referred to the quality of the glass used or exactly to the degree of which the collected rays respect to the law of reflection. The slope errors are directly linked to the manufacturing errors and to the local ripples or the aberrations on the mirrors. Moreover, the shape errors are generally caused by the misalignment of the facets that compose the collector, the geometrical deformations of the structures due to the wind, mirrors and tube weight loads are the main sources of shape error, especially at the operation time where the climates conditions are strong. In additions, others errors also affect the optical efficiency such as the tube receiver position error, the tracking error, and the soiling phenomena. In this work, we only consider the optical errors since the mirrors under test are clean and no tracking errors are counted.



opt

2 

spec

2 

slope

2 

shape

2

(2)

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3.2. Photogrammetry quality tests The performance of solar concentrating collectors is strongly sensitive to the optical errors. The geometric precision of the reflectors, the quality of the mirrors used, the tube receiver placement, and the support structures have a significant impact on the concentrator efficiency and thus on the overall performance of the collector’s plant. Therefore, the necessity of a tool to measure the slope errors with adequate precision is important, especially any small deviation from the ideal design can lead to important optical losses. In this sense, a variety of practical techniques have been proposed: The VSHOT system developed by the Sandia and the NREL laboratories using a laser beam scanner and a camera to record the images of the mirror under test, then the software calculates the slope errors and the deviations from the ideal design[14]. As the implementation of the VSHOT for large surface still difficult, the deflectometry technique proposed by the German Aerospace Center (DLR) by Ulmer et al [15] is a robust technique for measuring rapidly the slope errors based on the fringe reflection theory which usually used in the automobile sector to evaluate the specular surfaces. Moreover, the arrangements difficulties when changing the type of reflector to be qualified can be exceeded by using the robust photogrammetry technique developed by Shortis and Johnston[16]. This technique uses the image processing algorithms with which the collector is covered by a various number of marks to locate the mirrors and supports positions and then determine the slope errors. The main advantages of this later are the possibilities of outdoor utilization in the field and the facilities to adapt rapidly the arrangements for different types of reflectors. In this work, the photogrammetry technique was used to asses and evaluate the optical quality of the PTC under test in order to determine the slope deviations and the surfaces deformations from the ideal design. The method is based on the implementation of many flat retro-reflecting targets and specialized adapters on the mirror supports, mirror panels and on the other control points (Fig. 3). Then, the use of a high-definition camera with self-calibration allow the registration of the 3D coordinate of these object points in several images taken from different shooting positions. Therefore, the collector’s specifications will be added to the inputs of the software algorithms and then automatically calculate deviations of the actual mirror shape (interpolated between measurement points) to the design mirror shape. After the measurement objects are prepared with the measurement targets, the photogrammetric measurement process takes between 3 to 5 min to achieve the necessary accuracy. The Fig. 4 presents the Photogrammetry setup of the PTC under evaluation, the four facets were covered by the coded and Non-coded targets in order to evaluate the geometric precision and the panel orientation of the collector. In addition, the scale of the pictures taken by the camera cannot be determined from the image as it not contains objects of known size. So, including the scale bars of known length in the scene is important and facilitates to detect automatically the camera locations and orientations when the photogrammetric measurements are processed.

Fig.. 3. Collector targeting: Non-Coded targets (Left) and Coded targets (Right).

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Generally, the reflective behavior of the concentrating mirrors and the absence of the natural points are the main problematic and cause to use the targets points arranged on a concentrator surface. These targets are automatically detected by the photogrammetric software during the evaluation work. As each mirror is mounted to the collector structure at a certain number of points, small deviations and angle errors in these mirror support positions can change strongly the mirror panel orientation and thus lead to significant losses of the light intercepted on the absorber. For that, usually on each mirror mounting point position a Non-coded target is stuck. Moreover, the others targets are distributed over the mirror allowing the identification by the software and ensuring greater precision.

Fig.. 4. The Photogrammetry setup: The PTC under test (Left) The retro-reflective targets captured by the camera (Right).

After the targets preparations that take an important care and time, the photogrammetric measurements are processed then by capturing several images in different positions and different viewing using an automatic rotary arm mounted at the top of the collector and capture about 80 images. Therefore, the software calculates the panel angle deviation and the slope deviations in X, Y and Z directions. The Fig. 5 shows the distribution of the slope errors on the collector surface, the green areas denote that no deviation from the ideal design is presented, so all the incoming rays will be concentrated on the center of the tube absorber. Furthermore, the positive sign defined by the red color indicate that the collected rays will be passed above the focal line and below the focal line for the negative value denoted by the blue areas. It may be noted that a negative deviation is presented on the edges of the left facets, and a positive deviation is located on the edges of the right mirrors, thus the RMS slope errors of the tested mirrors is 4.1 mrad. In practical, slightly slope deviations were located on the center of the mirrors contrariwise on the edges of the collector’s facets whish significant negative and positive deviations were observed. Using these results, the performance and the geometric precision of the concentrator could be improved by readjusting the collector assembly on the structure. Therefore, using the open source ray tracing software SOLTRACE based on the MonteCarlo algorithms developed by the NREL [17], the intercept factor is determined and equal to 0.67 which represents the ratio of the energy concentrated on the tube absorber and the total energy captured by the mirrors. Furthermore, the optical efficiency for perpendicular sun on the collector corresponding to the maximum performance that can be reached by the collector is expressed as the product of reflectivity of the mirrors, the transmittance of the receiver glass envelope, the absorptance of the absorber tube, and the overall intercept factor. n   . . . opt , 0

(3)

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Fig.. 5. Distribution of the slope deviations in y direction on the reflector surface.

4. Thermal analysis of the Parabolic Trough Concentrator In the last section, the slope errors were calculated using the robust photogrammetric measurements, the real imperfections and the shape orientation of the mirrors that compose the PTC are identified and calculated. The quality tests of the PTC under evaluation was repeated several times which the geometric precision and the collector structures are readjusted on each time to improve its performance and looking for the adequate geometrical parameters orientation. Once this later were done, the optical efficiency was performed using the Equation 3 taking into account the reflectivity value of the mirrors, the intercept factor, and the product transmittance/absorptance of the tube absorber. In this sense, the thermal energy of the studied PTC can be expressed by the Equation 4, where the main variables are the optical efficiency, the incidence angle modifier, the surface of the collector, and the DNI of the site which the concentrator will be installed. On the other hand, the DNI data used in this study is extracted by an accurate meteorological station installed at the GEP research platform. The meteorological station on this site measures the solar flux, ambient temperature, humidity, atmospheric pressure, wind speed, and direction. Indeed, the left part of Fig. 6 shows the monthly average variation of DNI data of one-year of Benguerir city which Mars, April and June have the maximum solar potential of the year. As the incidence angle modifier was calculated, the daily variation of thermal energy of the studied PTC is determined and presented in the Fig. 7, and also the monthly variation of its thermal energy is performed in the right side of the Fig. 6. Q  n .n .n .DNI .K . A .cl.x inc opt , 0 shadow endloss SF field where the n , n , x , and cl are supposed equal to 1. shadow endloss field

(4)

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Fig.. 6. The average monthly variation of the Direct Normal Irradiation of BENGUERIR city (Left) and the monthly thermal energy produced by the studied PTC (Right).

Fig.. 7. The daily variation of thermal energy produced by the studied PTC.

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5. Conclusion A parabolic trough collector installed at the Green Energy Park research platform (Benguerir, Morocco) was studied. The optical evaluation of the PTC using the photogrammetry technique were performed. Moreover, the main procedures of 3D processing and image capturing are presented. The optical analysis and the readjustments of the results obtained by the photogrammetric measurements are leading to identify the slope errors of the real imperfections of the mirrors used and determine the angles orientation deviations of the structure from the ideal shape of the PTC studied. Therefore, thermal performance analysis of the PTC was presented which the thermal energy was calculated according to the total optical error, the angle incidence modifier and the DNI data of one-year of Benguerir city extracted by an accurate meteorological station. The main relevance and results are the following: 

The optical evaluation of the PTC studied was carried out by the experimental photogrammetric measurements which the real imperfections and aberrations of the mirrors composing the PTC were determined, as well as the angles deviations errors of the panels orientations with respect to the ideal shape of the trough.



The most intense slope errors were located in the edges of the trough, with a maximum value of 12 mrad and an RMS slope errors value of 4.1 mrad characterized the most part of the collector’s mirrors surface. Then, the intercept factor determined was 0.67 and the optical efficiency of the PTC was 0,515 at normal incidence.



The thermal evaluation of the parabolic trough collector was analyzed and performed according to the photogrammetric measurements of the slope deviations of the mirrors and the optical efficiency obtained. The one-year DNI data are used in this evaluation for analyzing the thermal efficiency of this collector under real conditions of Benguerir site. Moreover, some recommendations for the quality enhancement of the PTC were suggested such as the revision and readjustments of some mirrors, the tube absorber alignment and the glass envelope diameter.

References [1]

Krüger D, Pandian Y, Hennecke K, Schmitz M. Parabolic trough collector testing in the frame of the REACt project. Desalination 2008;220:612–8. [2] Fernández-García A, Zarza E, Valenzuela L, Pérez M. Parabolic-trough solar collectors and their applications. Renewable and Sustainable Energy Reviews 2010;14:1695–721. [3] Pitz-Paal R. Concentrating solar power. Future Energy, Elsevier; 2008, p. 171–92. [4] Nfaoui H, Sayigh A. Study of direct solar radiation in Ouarzazate (Morocco). Sustainability in Energy and Buildings: Research Advances ISSN 2054-3743 2012:36. [5] Ouammi A, Zejli D, Dagdougui H, Benchrifa R. Artificial neural network analysis of Moroccan solar potential. Renewable and Sustainable Energy Reviews 2012;16:4876–89. [6] Günther M, Joemann M, Csambor S, Guizani A, Krüger D, Hirsch T. Parabolic trough technology. Advanced CSP Teaching Materials 2011. [7] Xie W, Dai Y, Wang R, Sumathy K. Concentrated solar energy applications using Fresnel lenses: A review. Renewable and Sustainable Energy Reviews 2011;15:2588–606. [8] Coelho B, Varga S, Oliveira A, Mendes A. Optimization of an atmospheric air volumetric central receiver system: Impact of solar multiple, storage capacity and control strategy. Renewable Energy 2014;63:392–401. [9] Amine Hachicha A, Rodríguez Pérez IM, Lehmkuhl Barba O, Oliva Llena A. On the CFD&HT of the flow around a parabolic trough solar collector under real working conditions, 2013, p. 1379–90. [10] Clark JA. An analysis of the technical and economic performance of a parabolic trough concentrator for solar industrial process heat application. International Journal of Heat and Mass Transfer 1982;25:1427–38. [11] Binotti M, Zhu G, Gray A, Manzolini G, Silva P. Geometric analysis of three-dimensional effects of parabolic

1060

Massaab El Ydrissi et al. / Energy Procedia 157 (2019) 1050–1060 EL Ydrissi. M / Energy Procedia 00 (2018) 000–000

11

trough collectors. Solar Energy 2013;88:88–96. [12] El Ydrissi M, Ghennioui H, Abdi F. Geometric and Optical Efficiency Study for Solar Parabolic Trough Concentrator Using the Deflectometry Technique, Springer; 2018, p. 647–55. [13] Arancibia-Bulnes CA, Peña-Cruz MI, Mutuberría A, Díaz-Uribe R, Sánchez-González M. A survey of methods for the evaluation of reflective solar concentrator optics. Renewable and Sustainable Energy Reviews 2017;69:673–84. [14] Jones SA, Neal DR, Gruetzner JK, Houser RM, Edgar RM, Wendelin TJ. VSHOT: a tool for characterizing large, imprecise reflectors. Sandia National Labs., Albuquerque, NM (United States); 1996. [15] Ulmer S, März T, Prahl C, Reinalter W, Belhomme B. Automated high resolution measurement of heliostat slope errors. Solar Energy 2011;85:681–7. [16] Shortis M, Johnston G. Photogrammetry: an available surface characterization tool for solar concentrators, part II: assessment of surfaces. Journal of Solar Energy Engineering 1997;119:286–91. [17] Wendelin T. SolTRACE: a new optical modeling tool for concentrating solar optics, 2003, p. 253–60.