Abstract

A stochastic optimisation method adapted to illumination and radiative heat transfer problems involving Monte-Carlo ray-tracing is presented. A solar receiver shape optimisation case study illustrates the advantages of the method and its potential: efficient receivers are identified using a moderate computational cost.

© 2015 Optical Society of America

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References

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  • Article Order
  • Year
  • Author
  • Publication
  1. M. F. Modest, Radiative Heat Transfer (University of California, 2003).
  2. J. Holman, Heat transfer, Mechanical engineering series (McGraw-Hill, 1989).
  3. Y. Shuai, X.-L. Xia, and H.-P. Tan, “Radiation performance of dish solar concentrator/cavity receiver systems,” Sol. Energy 82(1), 13–21 (2008).
    [Crossref]
  4. C.-A. Asselineau, E. Abbassi, and J. Pye, “Open cavity receiver geometry influence on radiative losses,” in Proceedings of Solar2014, 52nd Annual Conference of the Australian Solar Energy Society, Solar2014, ed. (Melbourne, 2014).
  5. C.-A. Asselineau, J. Zapata, and J. Pye, “Geometrical shape optimization of a cavity receiver using coupled radiative and hydrodynamic modeling,” in SolarPACES 2014, (Beijing, 2014).
  6. F.-Q. Wang, R.-Y. Lin, B. Liu, H.-P. Tan, and Y. Shuai, “Optical efficiency analysis of cylindrical cavity receiver with bottom surface convex,” Sol. Energy 90, 195–204 (2013).
    [Crossref]
  7. Q.-J. Mao, Y. Shuai, and Y. Yuan, “Study on radiation flux of the receiver with a parabolic solar concentrator system,” Energy Convers. Manage. 84, 1–6 (2014).
    [Crossref]
  8. K. Lovegrove, G. Burgess, and J. Pye, “A new 500m2 paraboloidal dish solar concentrator,” Sol. Energy 85(4), 620–626 (2011).
    [Crossref]
  9. D. Buie, A. Monger, and C. Dey, “Sunshape distributions for terrestrial solar simulations,” Sol. Energy 74(2), 113–122 (2003).
    [Crossref]
  10. C. K. Ho, A. R. Mahoney, A. Ambrosini, M. Bencomo, A. Hall, and T. N. Lambert, “Characterization of Pyromark 2500 paint for high-temperature solar receivers,” J. Sol. Energy Eng. 136(1), 014502(2014).
    [Crossref]
  11. Y. Meller, Tracer package: an open source, object oriented, ray-tracing library in python language, https://github.com/yosefm/tracer , (2013).

2014 (2)

Q.-J. Mao, Y. Shuai, and Y. Yuan, “Study on radiation flux of the receiver with a parabolic solar concentrator system,” Energy Convers. Manage. 84, 1–6 (2014).
[Crossref]

C. K. Ho, A. R. Mahoney, A. Ambrosini, M. Bencomo, A. Hall, and T. N. Lambert, “Characterization of Pyromark 2500 paint for high-temperature solar receivers,” J. Sol. Energy Eng. 136(1), 014502(2014).
[Crossref]

2013 (1)

F.-Q. Wang, R.-Y. Lin, B. Liu, H.-P. Tan, and Y. Shuai, “Optical efficiency analysis of cylindrical cavity receiver with bottom surface convex,” Sol. Energy 90, 195–204 (2013).
[Crossref]

2011 (1)

K. Lovegrove, G. Burgess, and J. Pye, “A new 500m2 paraboloidal dish solar concentrator,” Sol. Energy 85(4), 620–626 (2011).
[Crossref]

2008 (1)

Y. Shuai, X.-L. Xia, and H.-P. Tan, “Radiation performance of dish solar concentrator/cavity receiver systems,” Sol. Energy 82(1), 13–21 (2008).
[Crossref]

2003 (1)

D. Buie, A. Monger, and C. Dey, “Sunshape distributions for terrestrial solar simulations,” Sol. Energy 74(2), 113–122 (2003).
[Crossref]

Ambrosini, A.

C. K. Ho, A. R. Mahoney, A. Ambrosini, M. Bencomo, A. Hall, and T. N. Lambert, “Characterization of Pyromark 2500 paint for high-temperature solar receivers,” J. Sol. Energy Eng. 136(1), 014502(2014).
[Crossref]

Bencomo, M.

C. K. Ho, A. R. Mahoney, A. Ambrosini, M. Bencomo, A. Hall, and T. N. Lambert, “Characterization of Pyromark 2500 paint for high-temperature solar receivers,” J. Sol. Energy Eng. 136(1), 014502(2014).
[Crossref]

Buie, D.

D. Buie, A. Monger, and C. Dey, “Sunshape distributions for terrestrial solar simulations,” Sol. Energy 74(2), 113–122 (2003).
[Crossref]

Burgess, G.

K. Lovegrove, G. Burgess, and J. Pye, “A new 500m2 paraboloidal dish solar concentrator,” Sol. Energy 85(4), 620–626 (2011).
[Crossref]

Dey, C.

D. Buie, A. Monger, and C. Dey, “Sunshape distributions for terrestrial solar simulations,” Sol. Energy 74(2), 113–122 (2003).
[Crossref]

Hall, A.

C. K. Ho, A. R. Mahoney, A. Ambrosini, M. Bencomo, A. Hall, and T. N. Lambert, “Characterization of Pyromark 2500 paint for high-temperature solar receivers,” J. Sol. Energy Eng. 136(1), 014502(2014).
[Crossref]

Ho, C. K.

C. K. Ho, A. R. Mahoney, A. Ambrosini, M. Bencomo, A. Hall, and T. N. Lambert, “Characterization of Pyromark 2500 paint for high-temperature solar receivers,” J. Sol. Energy Eng. 136(1), 014502(2014).
[Crossref]

Lambert, T. N.

C. K. Ho, A. R. Mahoney, A. Ambrosini, M. Bencomo, A. Hall, and T. N. Lambert, “Characterization of Pyromark 2500 paint for high-temperature solar receivers,” J. Sol. Energy Eng. 136(1), 014502(2014).
[Crossref]

Lin, R.-Y.

F.-Q. Wang, R.-Y. Lin, B. Liu, H.-P. Tan, and Y. Shuai, “Optical efficiency analysis of cylindrical cavity receiver with bottom surface convex,” Sol. Energy 90, 195–204 (2013).
[Crossref]

Liu, B.

F.-Q. Wang, R.-Y. Lin, B. Liu, H.-P. Tan, and Y. Shuai, “Optical efficiency analysis of cylindrical cavity receiver with bottom surface convex,” Sol. Energy 90, 195–204 (2013).
[Crossref]

Lovegrove, K.

K. Lovegrove, G. Burgess, and J. Pye, “A new 500m2 paraboloidal dish solar concentrator,” Sol. Energy 85(4), 620–626 (2011).
[Crossref]

Mahoney, A. R.

C. K. Ho, A. R. Mahoney, A. Ambrosini, M. Bencomo, A. Hall, and T. N. Lambert, “Characterization of Pyromark 2500 paint for high-temperature solar receivers,” J. Sol. Energy Eng. 136(1), 014502(2014).
[Crossref]

Mao, Q.-J.

Q.-J. Mao, Y. Shuai, and Y. Yuan, “Study on radiation flux of the receiver with a parabolic solar concentrator system,” Energy Convers. Manage. 84, 1–6 (2014).
[Crossref]

Monger, A.

D. Buie, A. Monger, and C. Dey, “Sunshape distributions for terrestrial solar simulations,” Sol. Energy 74(2), 113–122 (2003).
[Crossref]

Pye, J.

K. Lovegrove, G. Burgess, and J. Pye, “A new 500m2 paraboloidal dish solar concentrator,” Sol. Energy 85(4), 620–626 (2011).
[Crossref]

Shuai, Y.

Q.-J. Mao, Y. Shuai, and Y. Yuan, “Study on radiation flux of the receiver with a parabolic solar concentrator system,” Energy Convers. Manage. 84, 1–6 (2014).
[Crossref]

F.-Q. Wang, R.-Y. Lin, B. Liu, H.-P. Tan, and Y. Shuai, “Optical efficiency analysis of cylindrical cavity receiver with bottom surface convex,” Sol. Energy 90, 195–204 (2013).
[Crossref]

Y. Shuai, X.-L. Xia, and H.-P. Tan, “Radiation performance of dish solar concentrator/cavity receiver systems,” Sol. Energy 82(1), 13–21 (2008).
[Crossref]

Tan, H.-P.

F.-Q. Wang, R.-Y. Lin, B. Liu, H.-P. Tan, and Y. Shuai, “Optical efficiency analysis of cylindrical cavity receiver with bottom surface convex,” Sol. Energy 90, 195–204 (2013).
[Crossref]

Y. Shuai, X.-L. Xia, and H.-P. Tan, “Radiation performance of dish solar concentrator/cavity receiver systems,” Sol. Energy 82(1), 13–21 (2008).
[Crossref]

Wang, F.-Q.

F.-Q. Wang, R.-Y. Lin, B. Liu, H.-P. Tan, and Y. Shuai, “Optical efficiency analysis of cylindrical cavity receiver with bottom surface convex,” Sol. Energy 90, 195–204 (2013).
[Crossref]

Xia, X.-L.

Y. Shuai, X.-L. Xia, and H.-P. Tan, “Radiation performance of dish solar concentrator/cavity receiver systems,” Sol. Energy 82(1), 13–21 (2008).
[Crossref]

Yuan, Y.

Q.-J. Mao, Y. Shuai, and Y. Yuan, “Study on radiation flux of the receiver with a parabolic solar concentrator system,” Energy Convers. Manage. 84, 1–6 (2014).
[Crossref]

Energy Convers. Manage. (1)

Q.-J. Mao, Y. Shuai, and Y. Yuan, “Study on radiation flux of the receiver with a parabolic solar concentrator system,” Energy Convers. Manage. 84, 1–6 (2014).
[Crossref]

J. Sol. Energy Eng. (1)

C. K. Ho, A. R. Mahoney, A. Ambrosini, M. Bencomo, A. Hall, and T. N. Lambert, “Characterization of Pyromark 2500 paint for high-temperature solar receivers,” J. Sol. Energy Eng. 136(1), 014502(2014).
[Crossref]

Sol. Energy (4)

K. Lovegrove, G. Burgess, and J. Pye, “A new 500m2 paraboloidal dish solar concentrator,” Sol. Energy 85(4), 620–626 (2011).
[Crossref]

D. Buie, A. Monger, and C. Dey, “Sunshape distributions for terrestrial solar simulations,” Sol. Energy 74(2), 113–122 (2003).
[Crossref]

Y. Shuai, X.-L. Xia, and H.-P. Tan, “Radiation performance of dish solar concentrator/cavity receiver systems,” Sol. Energy 82(1), 13–21 (2008).
[Crossref]

F.-Q. Wang, R.-Y. Lin, B. Liu, H.-P. Tan, and Y. Shuai, “Optical efficiency analysis of cylindrical cavity receiver with bottom surface convex,” Sol. Energy 90, 195–204 (2013).
[Crossref]

Other (5)

C.-A. Asselineau, E. Abbassi, and J. Pye, “Open cavity receiver geometry influence on radiative losses,” in Proceedings of Solar2014, 52nd Annual Conference of the Australian Solar Energy Society, Solar2014, ed. (Melbourne, 2014).

C.-A. Asselineau, J. Zapata, and J. Pye, “Geometrical shape optimization of a cavity receiver using coupled radiative and hydrodynamic modeling,” in SolarPACES 2014, (Beijing, 2014).

M. F. Modest, Radiative Heat Transfer (University of California, 2003).

J. Holman, Heat transfer, Mechanical engineering series (McGraw-Hill, 1989).

Y. Meller, Tracer package: an open source, object oriented, ray-tracing library in python language, https://github.com/yosefm/tracer , (2013).

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Figures (6)
Fig. 1
Fig. 1 Flowchart of the stochastic optimisation algorithm.

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Fig. 2
Fig. 2 (a) The SG4 dish at the ANU STG facilities, and (b) cross-section of a parametric open cavity receiver model.

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Fig. 3
Fig. 3 The one-dimensional finite difference model used to model the helical heat extraction coil comprising the receiver walls: (a) full cross-section and (b) flow-segment energy balance.

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Fig. 4
Fig. 4 (a) Evolution of population count during optimisation and (b) computational effort spent on the optimisation case study as a function of the number of rays cast for each scene. The brute force simulation time was estimated by multiplying the number of MCRT passes by the average time spent per MCRT pass in the actual optimisation.

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Fig. 5
Fig. 5 Convergence of the presented stochastic optimisation algorithm.

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Fig. 6
Fig. 6 Sensitivity of simulated thermal efficiencies to (a) the aperture radius and (b) the focal plane aperture radius.

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Equations (2)

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M ¯ j, i = ( j−1 ) M ¯ j−1, i + M j, i j  ;       S j, i = ∑ k=1 j ( M k, i − M ¯ k, i ) 2 j−1 ;      I C j,i =3 S j, i
η th, i = Q ˙ th, i Q ˙ sun, i  

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