The fixed mirror solar concentrator (FMSC) is a mobile focus concentrator whose design emerged in the 1970s in an effort to reduce electricity production costs in solar thermal power plants. This geometry has not yet been analyzed with 3D ray-tracing procedures. The geometry of FMSC is defined using three parameters: the number of mirrors N, the ratio of focal length and reflector width F/W, and the intercept factor γ (in order to represent different receiver widths). For the analysis, a 3D ray-tracing code that allows the characterization of solar concentrators was developed. A standard evacuated tube was used as a receiver. The geometric concentration ratio, the optical efficiency, and the transversal and longitudinal incidence angle modifier (IAM) curves for different values of design parameters were calculated. High concentrations imply low F/W values and for high efficiencies, large intercept factor values are required. Increasing the F/W ratio has a positive effect on the transversal IAM, yet a negative one for the longitudinal IAM. Increasing the number of mirrors has a negative effect on both IAM curves due to the self-shadowing between the adjacent steps. Increasing the intercept factor only has a significant positive effect on the longitudinal IAM. The goodness of the IAM factorization approach was analyzed, and it was found that it can be used as long as a new correction factor to account for the focus displacement is introduced. The results presented in this paper provide information, in form of curves, regarding the optical behavior of the FMSC in terms of different design parameters in order to know the possibility to use the FMSC in medium range temperature applications.

References

References
1.
Bokhoven
,
T.
,
Cotton
,
N.
,
Dru¨ck
,
H.
,
Pilgaard
,
O.
,
Stryi-Hipp
,
G.
,
Weiss
,
W.
, and
Wittwer
,
V.
, 2006, “
Solar Thermal Vision 2030
,” ESTTP, Brussels, Belgium. Available at: http://esttp.org/cms/upload/pdf/Solar_Thermal_Vision_2030_080118_final_.pdfhttp://esttp.org/cms/upload/pdf/Solar_Thermal_Vision_2030_080118_final_.pdf
2.
Schweiger
,
H.
,
Mendes
,
J. F.
,
Benz
,
N.
,
Hennecke
,
K.
,
Prieto
,
G.
,
Cusí
,
M.
, and
Gonçalves
,
H.
, 2000, “
The Potential of Solar Heat in Industrial Processes
,”
A State of the Art Review for Spain and Portugal, Book of Proceedings, Eurosun
,
Copenhagen
, June 19–22.
3.
Weiss
,
W.
, and
Rommel
,
M.
, eds., 2008, “
Process Heat Collectors: State of the Art Within Task 33/IV
,” Technical Report, IEA SHC-Task 33 and SolarPACES-Task IV.,
4.
Winston
,
R.
, 2001, “
Solar Concentrators
,”
Solar Energy—The State of The Art: ISES Position Papers
,
J.
Gordon
, ed.,
James & James Ltd.
,
London
.
5.
Russel
,
J. L.
,
DePlomb
,
E. P.
, and
Bansal
R. K.
, 1974,
Principles of the Fixed Mirror Solar Concentrator
,
2nd ed.
,
General Atomic Co.
,
San Diego, CA
, Report No. GA-A12903.
6.
Steward
,
W. G.
, and
Kreith
,
F.
, 1975, “
Stationary Concentrating Reflector Cum Tracking Absorber of a Solar Energy Collector: Optical Design Characteristics
,”
Appl. Opt.
,
14
(
7
), pp.
1509
1512
.
7.
Kreider
,
J. F.
, 1975, “
Thermal Performance Analysis of the Stationary Reflector/Tracking Absorber (SRTA) Solar Concentrator
,”
ASME J. Heat Transfer
,
97
(
3
), pp.
451
456
.
8.
Bar-Lev
,
A.
,
Waks
,
S.
, and
Grossman
,
G.
, 1983, “
Analysis of a Combined Thermal-Photovoltaic Solar System Based on the Spherical Reflector/Tracking Absorber Concentrator
,”
ASME J. Sol. Energy Eng.
,
105
, pp.
322
328
.
9.
Gee
,
R.
, 2004, “
Solar Powering of High Efficiency Absorption Chiller
,”
Solar Cooling, LLC, Prepared for the U.S. Department of Energy, Goldenfield Office
, Final Report No. DE-FC36-96GO1015M002.
10.
Martínez
,
V.
,
Pujol
,
R.
, and
Moià
,
A
, 2008, “
Innovative Fixed Mirror Solar Concentrator for Process Heat
,”
1st International Congress on Heating, Cooling, and Buildings, Eurosun 2008
, Vol.
80
.
11.
Pujol
,
R.
,
Alomar
,
M.
,
Moià
,
A.
, and
Martínez
,
V.
, 2010, “
Development Status of Concentrating Collector With Stationary Reflector (CCStaR)
,” International Congress on Heating, Cooling, and Buildings, Eurosun 2010.
12.
Martínez
,
V.
,
Moià
,
A.
, and
Pujol
,
R.
, 2011, “
Design Improvements and Evaluation of the New CCStaR Collector
,” ISES Solar World Congress 2011.
13.
Pujol
,
R.
,
Martínez
,
V.
,
Moià
,
A.
, and
Schwiger
,
H.
, 2006, “
Analysis of Stationary Fresnel Like Concentrator With Tracking Absorber
,”
SolarPACES: 13th International Symposium on Concentrated Solar Power and Chemical Energy Technologies
,
Sevilla
,
Spain
, A7-P3, ISBN: 84-7834-519-1.
14.
Martínez
,
V.
,
Pujol
,
R.
,
Moià
,
A.
, and
Schwiger
,
H.
, 2006, “
Analysis of a Stationary Parabolic Linear Concentrator With Tracking Absorber
,”
SolarPACES: 13th International Symposium on Concentrated Solar Power and Chemical Energy Technologies
,
Sevilla
,
Spain
, A7-P4, ISBN: 84-7834-519-1.
15.
McIntire
,
W. R.
, 1982, “
Factored Approximation for Biaxial Incident Angle Modifiers
,”
Sol. Energy
,
29
, pp.
315
322
.
16.
Riba
,
C.
,
Martínez
,
V.
,
Pujol
,
R.
,
Moià
,
A.
,
Paz
,
H.
,
Martínez
,
D.
, and
Schweiger
,
H.
, 2007, “
Dispositivo concentrador-captador de energía solar
,” Tecnología Solar Concentradora, S.L., Spain Patent No. 200703464.
17.
Kumar
,
R.
, 1974, “
Thoretical Analysis of Fixed Mirror Solar Concentrator
,” Master’s thesis, Arizona State University, Phoenix, AZ.
18.
Russell
,
J. L.
, Jr.
, 1976, “
Principles of the Fixed Mirror Concentrator
,”
Optics in Solar Energy Utilization, Vol. 85, SPIE
,
General Atomic Company
,
San Diego, CA
.
19.
Nicolás
,
R. O.
, and
Durán
,
J. C.
, 1980, “
Generalization of the Two-Dimensional Optical Analysis of Cylindrical Concentrators
,”
Sol. Energy
,
25
, pp.
21
31
.
20.
Durán
,
J. C.
, and
Nicolás
,
R. O.
, 1985, “
Development and Applications of a Two-Dimensional Optical Analysis of Non-Perfect Cylindrical Concentrators
,”
Sol. Energy
,
34
, pp.
257
269
.
21.
Antonova
,
R. A.
, and
Tarnizhevskii
,
B. V.
, 1986, “
A Facet Concentrator of Solar Energy With Fixed Reflector and Mobile Thermal Collector
,”
Geliotekhnika
,
22
(
2
), pp.
21
25
.
22.
Duffie
,
J. A.
, and
Beckman
,
W. A.
, 1980,
Solar Engineering of Thermal Processes
,
Wiley Interscience
,
New York
.
23.
Buie
,
D.
, 2004, “
Optical Considerations in Solar Concentrating Systems
,” Ph.D. thesis, University of Sydney, Sydney, Australia.
24.
Johnston
,
G.
, 1995, “
On the Analysis of Surface Error Distributions on Concentrated Solar Collectors
,”
ASME J. Sol. Energy Eng.
,
117
, pp.
294
296
.
25.
Pettit
,
R. B.
,
Vititoe
,
C. N.
, and
Biggs
,
F.
, 1983, “
Simplified Calculational Procedure for Determining the Amount of Intercepts Sunlight in an Imaging Solar Concentrator
,”
ASME J. Sol. Energy Eng.
,
105
, pp.
101
107
.
26.
Hecht
,
E.
, and
Zajac
,
A.
, 1986,
Optica
,
Addison-Wesley
,
Reading, MA.
27.
Rönnelid
,
M.
, 1998, “
Optical Design of Stationary Solar Concentrators for High Latitudes
,”
Doctoral dissertation, Faculty of Science and Technology
,
Uppsala University
,
Uppsala, Sweden
.
28.
Eberly
,
D. H.
, 2001,
3D Game Engine Design: A Practical Approach to Real-Time Computer Graphics
,
Morgan Kaufmann Publishers
,
San Francisco, CA
.
29.
Buie
,
D.
, 2005, “
Corrigendum to ‘The Effective Size of the Solar Cone for Solar Concentrating System
,’”
Sol. Energy
,
79
, pp.
568
570
.
30.
Badescu
,
V.
, 1994, “
Different Tracking Error Distributions and Their Effects on the Long-Term Performances of Parabolic Dish Solar Power Systems
,”
Int. J. Sol. Energy
,
14
, pp.
203
216
.
31.
Lüpfert
,
E.
,
Pottler
,
K.
,
Ulmer
,
S.
,
Riffelmann
,
K. J.
,
Neumann
,
A.
, and
Schiricke
,
B.
, 2007, “
Parabolic Trough Optical Performance Analysis Techniques
,”
ASME J. Sol. Energy Eng.
,
129
, pp.
147
152
.
32.
Riffelmann
,
K.-J.
,
Neumann
,
A.
, and
Ulmer
,
S.
, 2066, “
Performance Enhancement of Parabolic Trough Collectors by Solar Flux Measurement in the Focal Region
,”
Sol. Energy
,
80
, pp.
1303
1313
.
33.
Tesfamichael
,
T.
, and
Wäckelgård
,
E.
, 2000, “
Angular Solar Absorptance and Incident Angle Modifier of Selective Absorbers for Solar Thermal Collectors
,”
Sol. Energy
,
68
, pp.
335
341
.
34.
Neumann
,
A.
,
Witzke
,
A.
,
Jones
,
S.
, and
Schmitt
,
G.
, 2002, “
Representative Terrestrial Solar Brightness Profiles
,”
ASME J. Sol. Energy Eng.
,
124
, pp.
198
204
.
35.
Rönnelid
,
M.
,
Perers
,
B.
, and
Karlsson
,
B.
, 1997, “
On the Factorisation of Incidence Angle Modifiers for CPC Collectors
,”
Sol. Energy
,
59
, pp.
281
286
.
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