Abstract

The fraction of power reaching the collector of a truncated cylindrical compound parabolic concentrator, out of the total power arriving at its entry aperture in a given direction, is calculated without ray tracing for all directions.

© 1983 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. Winston, X. X. Hinterberger, Sol. Energy 17, 255 (1975).
    [CrossRef]
  2. A. Luque, Sol. Cells 3, 355 (1981).
    [CrossRef]
  3. W. T. Welford, R. Winston, Optics of Non-Imaging Concentrators (Academic, New York, 1978), pp. 136 and 20.
  4. R. E. Jones, J. Opt. Soc. Am. 67, 1594 (1977).
    [CrossRef]
  5. J. C. Minano, A. Luque, Sol. Cells 8, 297 (1983).
    [CrossRef]

1983

J. C. Minano, A. Luque, Sol. Cells 8, 297 (1983).
[CrossRef]

1981

A. Luque, Sol. Cells 3, 355 (1981).
[CrossRef]

1977

1975

R. Winston, X. X. Hinterberger, Sol. Energy 17, 255 (1975).
[CrossRef]

Hinterberger, X. X.

R. Winston, X. X. Hinterberger, Sol. Energy 17, 255 (1975).
[CrossRef]

Jones, R. E.

Luque, A.

J. C. Minano, A. Luque, Sol. Cells 8, 297 (1983).
[CrossRef]

A. Luque, Sol. Cells 3, 355 (1981).
[CrossRef]

Minano, J. C.

J. C. Minano, A. Luque, Sol. Cells 8, 297 (1983).
[CrossRef]

Welford, W. T.

W. T. Welford, R. Winston, Optics of Non-Imaging Concentrators (Academic, New York, 1978), pp. 136 and 20.

Winston, R.

R. Winston, X. X. Hinterberger, Sol. Energy 17, 255 (1975).
[CrossRef]

W. T. Welford, R. Winston, Optics of Non-Imaging Concentrators (Academic, New York, 1978), pp. 136 and 20.

J. Opt. Soc. Am.

Sol. Cells

J. C. Minano, A. Luque, Sol. Cells 8, 297 (1983).
[CrossRef]

A. Luque, Sol. Cells 3, 355 (1981).
[CrossRef]

Sol. Energy

R. Winston, X. X. Hinterberger, Sol. Energy 17, 255 (1975).
[CrossRef]

Other

W. T. Welford, R. Winston, Optics of Non-Imaging Concentrators (Academic, New York, 1978), pp. 136 and 20.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Cross-sectional concentrator shape of the two CPCs: (a) monofacial collector; (b) bifacial collector. The portion of concentrator that disappears with the truncation is represented by dashed lines

Fig. 2
Fig. 2

Fraction of power reaching the collector out of the total power arriving at the entry aperture in the direction q = cosϕ [i.e., directional intercept factor α(q)] in a CPC designed for a bifacial collector; ϕa = 20° and t = 0.245.

Fig. 3
Fig. 3

Directional intercept factor of a CPC with bifacial collector αd(p,q) for all possible directions of rays coming from the upper hemisphere of the entry aperture; ϕa = 20°, t = 0.647. The concentrator is filled with a transparent medium of index of refraction n =1.5.

Equations (18)

Equations on this page are rendered with MathJax. Learn more.

if q sin ϕ a , then α ( q ) = 1 .
if sin ϕ a < q sin ϕ m , then α ( q ) = A B ¯ A e = [ 1 q ( 1 q 2 ) 1 / 2 tan ϕ m ] × ( 1 + sin ϕ a ) sin ϕ m [ 2 sin ϕ m + cos ( ϕ m ϕ a ) 1 ] .
If sin ϕ m q 1 , then α ( q ) = 0 .
α ( q ) = α ( q ) ;
α ( q ) = A B ¯ A e = 1 2 [ 1 q ( 1 q 2 ) 1 / 2 tan ϕ m ] .
( monofacial case ) t = h h = 2 cos ϕ m sin 2 ϕ a [ 1 cos ( ϕ m + ϕ a ) ] cos ϕ a ;
( bifacial case ) t = h h = 1 + 2 cos ϕ m 1 cos ( ϕ m + ϕ a ) 1 + cos ϕ a sin 2 ϕ a .
( monofacial case ) C g = 2 sin ϕ m + cos ( ϕ m ϕ a ) 1 1 cos ( ϕ m + ϕ a ) ;
( bifacial case ) C g = 4 sin ϕ m 1 cos ( ϕ m + ϕ a ) .
E = D dydq = A e α ( q ) d q ,
α ( p , q ) = α ( O , q / ( 1 p 2 ) 1 / 2 ) .
α d ( p , q ) = α ( O , q / ( n 2 p 2 ) 1 / 2 ) .
ρ ( ϕ ) = 2 f 1 sin ( ϕ ϕ a ) ,
( monofacial case ) ρ ( O ) = A c ,
( bifacial case ) ρ ( π / 2 + ϕ a ) = A c .
A B ¯ = ρ ( π 2 ϕ m ) cos ϕ m [ tan ϕ m q ( 1 q 2 ) 1 / 2 ] ,
( monofacial case ) A e = 2 [ ρ ( π 2 ϕ m ) sin ϕ m 1 2 ρ ( O ) ] ,
( bifacial case ) A e = 2 ρ ( π 2 ϕ m ) sin ϕ m .

Metrics