Research Papers

Optical Analysis of a Two Stage XX Concentrator for Parametric Trough Primary and Tubular Absorber With Application in Solar Thermal Energy Trough Power Plants

[+] Author and Article Information
Juan Pablo Núnez Bootello

Calle Energía Solar, 1,
Seville 41014, Spain
e-mail: jp.nunez@abengoa.com

Henry Price

1250 Simms Street,
Lakewood, CO 80401
e-mail: hank.price@abengoa.com

Manuel Silva Pérez

Group of Thermodynamics
and Renewable Energy,
Department of Energy Engineering,
University of Seville,
Seville 41004, Spain
e-mail: msilva@us.es

Manuel Doblaré Castellano

Calle Energía Solar, 1,
Seville 41014, Spain
e-mail: manuel.doblare@abengoa.com

Manuscript received November 18, 2015; final manuscript received February 24, 2016; published online April 5, 2016. Assoc. Editor: Mary Jane Hale.

J. Sol. Energy Eng 138(4), 041002 (Apr 05, 2016) (6 pages) Paper No: SOL-15-1392; doi: 10.1115/1.4032944 History: Received November 18, 2015; Revised February 24, 2016

A new symmetric nonimaging parametric trough collector (PmTC) for an evacuated circular receiver is proposed having an absorber diameter of 70 mm similar to the LS3/Eurotrough absorber one, and a circular secondary. The optical design method is explained and a sensitivity analysis is conducted with respect to the diameter of the secondary and to the acceptance angle. In the design process, transmission, absorption, and reflection losses are neglected. A secondary mirror radius of 145 mm and an acceptance angle of ±14 mrad were chosen as realistic values. For these values a concentrator geometry having 8.7 m gross aperture and 100% intercept factor for rays impinging on the primary within the referred acceptance angle is obtained producing a net concentration ratio relative to the thermodynamic ideal limit of 0.52 compared to 0.31 for traditional parabolic trough collectors. The new concentrator is composed of a primary discontinuous reflector with two symmetrical portions with parametric geometry, and a central parabolic portion located between the other two. The ensemble secondary receiver can be dressed up with the secondary concentrator manufactured by partially mirroring a diameter adapted glass tube—either internally or externally—or alternatively by means of a commercial evacuated receiver and an independent 145 mm radius arc of circumference external secondary reflector. Monte Carlo ray-tracing results show that only 15% of the rays undergo secondary reflection before arriving to the absorber and a sharp angle transmission curve. The new concentrator is proposed for application in solar thermal energy (STE) trough power plants.

Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.


Fernández-García, A. , Zarza, E. , Valenzuela, L. , and Pérez, M. , 2010, “ Parabolic-Trough Solar Collectors and Their Applications,” Renewable Sustainable Energy Rev., 14(7), pp. 1695–1721. [CrossRef]
Marcotte, P. , and Manning, K. , 2013, “ Development of an Advanced Large-Aperture Parabolic Trough Collector,” Energy Procedia, 49(2014), pp. 145–154.
Winston, R. , Benitez, P. , and Miñano, J. C. , 2005, Non Imaging Optics, Elsevier Academic Press, New York.
Rabl, A. , 1985, Active Solar Collectors and Their Applications, Oxford University Press, Oxford, UK.
Benitez, P. , García, R. , and Miñano, J. C. , 1997, “ Contactless Efficient Two-Stage Solar Concentrator for Tubular Absorber,” Appl. Opt., 36(28), pp. 7119–7124. [CrossRef] [PubMed]
Pereira, M. C. , Gordon, J. M. , Rabl, A. , and Winston, R. , 1991, “ High Concentration Two Stage Optics for Parabolic Trough Solar Collectors With Tubular Absorber and Large Rim Angle,” Sol. Energy, 47(6), pp. 457–466. [CrossRef]
Cannavaro, D. , Chaves, J. , and Collares, M. , 2013, “ New Second-Stage Concentrators (XX SMS) for Parabolic Primaries; Comparison With Conventional Parabolic Trough Concentrators,” Sol. Energy, 92, pp. 98–105. [CrossRef]
Eberle, S. D. , Montgomery, L. L. , and Fitzgerald, J. F. , 1965, “ Macrofocal Conics as Reflector Contours,” J. Opt. Soc. Am., 55(1), pp. 5–11. [CrossRef]
Gee, R. , Cohen, G. , and Winston, R. , 2002, “ A Non Imaging Receiver for Parabolic Trough Concentrating Collectors,” ASME Paper No. SED2002-1062.


Grahic Jump Location
Fig. 1

Macrofocal parabola reflecting one set of edge rays tangentially to the receiver [3]

Grahic Jump Location
Fig. 2

Cross section of the helmet concentrator proposed by Miñano and coworkers [5]

Grahic Jump Location
Fig. 3

Proposed PmTC geometry compared to the LS3/Eurotroughparabola

Grahic Jump Location
Fig. 4

PmTC design method explanation (not at scale)

Grahic Jump Location
Fig. 5

Dependency of the net aperture and the ratio C/Cmax with the glass tube radius and the half angle of acceptance for a fixed receiver radius of 35 mm

Grahic Jump Location
Fig. 6

Angle transmission curve comparison

Grahic Jump Location
Fig. 7

Ray-tracing results of collimated beams having incidence angles of 0.7 deg and 0.1 deg

Grahic Jump Location
Fig. 8

Secondary concentrator manufactured by partially mirroring the glass tube

Grahic Jump Location
Fig. 9

External secondary concentrator and commercial evacuated receiver



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In