Abstract

A theoretical study of a new approach for a solar simulator design capable of testing solar collectors is described. The technique involved in this design requires that the source have rotational symmetry and employs a 2-D approach in the calculation of the irradiance in the image plane. Reflecting surfaces to be used with two different types of light source are computed to illustrate practical applications of this method.

© 1980 Optical Society of America

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References

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  1. R. E. Bartera et al., Appl. Opt. 9, 1068 (1970).
    [CrossRef] [PubMed]
  2. A. J. Decker, J. L. Pollack, NASA 1972 TMX-68042.
  3. R. Liebmann, Appl. Opt. 7, 315 (1968).
    [CrossRef] [PubMed]
  4. J. A. Feroli, J. Env. Sci. 28 (July/August1977).
  5. K. Yass et al., NASA 1974 TM-X-3059.
  6. E. J. G. Beeson, Light. Res. Technol. 10, 164 (1978).
    [CrossRef]
  7. ASHRAE Standard, The American Society of Heating, Refrigerating and Air-Conditioning Engineers, 93-77, ANSI B1981-1977.
  8. I. Powell, Appl. Opt. 17, 3361 (1978).
    [CrossRef] [PubMed]

1978 (2)

E. J. G. Beeson, Light. Res. Technol. 10, 164 (1978).
[CrossRef]

I. Powell, Appl. Opt. 17, 3361 (1978).
[CrossRef] [PubMed]

1977 (1)

J. A. Feroli, J. Env. Sci. 28 (July/August1977).

1970 (1)

1968 (1)

Bartera, R. E.

Beeson, E. J. G.

E. J. G. Beeson, Light. Res. Technol. 10, 164 (1978).
[CrossRef]

Decker, A. J.

A. J. Decker, J. L. Pollack, NASA 1972 TMX-68042.

Feroli, J. A.

J. A. Feroli, J. Env. Sci. 28 (July/August1977).

Liebmann, R.

Pollack, J. L.

A. J. Decker, J. L. Pollack, NASA 1972 TMX-68042.

Powell, I.

Yass, K.

K. Yass et al., NASA 1974 TM-X-3059.

Appl. Opt. (3)

J. Env. Sci. (1)

J. A. Feroli, J. Env. Sci. 28 (July/August1977).

Light. Res. Technol. (1)

E. J. G. Beeson, Light. Res. Technol. 10, 164 (1978).
[CrossRef]

Other (3)

ASHRAE Standard, The American Society of Heating, Refrigerating and Air-Conditioning Engineers, 93-77, ANSI B1981-1977.

K. Yass et al., NASA 1974 TM-X-3059.

A. J. Decker, J. L. Pollack, NASA 1972 TMX-68042.

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Figures (10)

Fig. 1
Fig. 1

Reflector and source assembly.

Fig. 2
Fig. 2

Slice through the reflector and target plane.

Fig. 3
Fig. 3

Collecting functions associated with each box.

Fig. 4
Fig. 4

A comparison of the irradiance at the image plane of a parabolic reflector calculated with program and analytically.

Fig. 5
Fig. 5

Initial and final irradiance at target plane for source A.

Fig. 6
Fig. 6

Initial and final irradiance at target plane for source B.

Fig. 7
Fig. 7

Irradiance as a result of a 2.5-mm shift in source A.

Fig. 8
Fig. 8

Irradiance as a result of a 10-mm shift in source B.

Fig. 9
Fig. 9

Schematic of the solar simulator assembly.

Fig. 10
Fig. 10

Relationship between cross section of reflector to that of target area.

Tables (2)

Tables Icon

Table I System Parameters for Computer Input

Tables Icon

Table II Surface Shape (Measurements In cm)

Equations (6)

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W ( θ ) = I ( θ ) sin θ .
E ( i ) = ( 2 i - 1 ) / N 2 for ( i = 1 , 2 , , N ) ,
E ( i ) = ( 2 i - 1 ) / 100 ,             i = 1 , 2 , , 10 , E ( 11 ) = 0.
z = c ρ 2 1 + [ 1 - ( 1 + Q ) c 2 ρ 2 ] 1 / 2 + a 1 P 2 + a 2 P 3 + a 3 P 4 + a 4 P 5 ,
z = c ρ 2 1 + [ 1 - ( 1 + Q ) c 2 ρ 2 ] 1 / 2 + a 1 P 2 + a 2 P 3 + a 3 P 4 + a 4 P 5 + b 1 ( P - P 1 ) 2 + b 2 ( P - P 2 ) 4 ,
ψ i ( η ) = 1 2 { cos { [ η - ( i - 1 / 2 ) Δ ] π Δ } + 1 , ψ i - 1 ( η ) = 1 - ψ i ( η ) ψ j ( η ) = 0 for j i or i - 1 } for ( i - 3 2 ) Δ < η ( i - 1 2 ) Δ , ψ i + 1 ( η ) = 1 - ψ i ( η ) ψ j ( η ) = 0 for j i or i + 1 } for ( i - 1 2 ) Δ < η ( i + 1 2 ) Δ . If η 1 2 Δ ψ 1 ( η ) = 1 ψ j ( η ) = 0             for j 1. If η > ( N + 1 2 ) ψ N + 1 ( η ) = 1 ψ j ( η ) = 0             for j N + 1 ,

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