Bifacial concentration on VMJ cell
VMJ cells requires uniform intensity for proper operation. Cells are 9mm x 9mm square and 0.05cm thick. It consist of 40 junctions producing about 23 volts.
The intensity of the light on each junction becomes fairly uniform when the energy at the front and the back focus are combined at very high concentration level . 50% of the light fall on the front of the cell. The rest is reflected to the back of the cell with a mirror.
The cell will be cooled by immersing it in circulating deionised water in a sealed container. Because of the high voltage, electrolysis of the water will be observed.
Concentration with 395 mm lens
run 'fresnelx w395 g395 l330 e99.99 s40 r21 c20:4.5 c38:4.5' first to calculate the concentration levels
fresnelx w395 g395 l330 s40 r21 11564.6 2420.6 v.225
777.37W/m2 refractive index at 589.2nm(1.492) m(20), eff(99.990%)
SunHalfAngle(0.26657o)
Total input energy 121 Watts
Acrylic Fresnel Lens Width 395mm x 0.405mm, Area 0.16m2,
Focal Length 330mm (f/0.835), 395 grooves
Slice Radius Power Tot Tot QEff Ix Ax Area UV BlueGreen Red NIR IR
390 492 622 760 1110 4000
mm W W % % mm2 % % % % % %
Cell 1 Concentration Level 1564.6x, distance from lens 321.7mm, 0.97f
, radius 5.6mm
0 0.2 8.3 8 7 48 66939 66939 0 3 4 0 0 53 40
1 0.5 7.8 16 13 54 21020 32501 0 4 4 0 0 59 33
2 0.7 5.4 21 18 59 8703 19280 1 6 6 0 1 66 21
3 0.9 5.1 27 22 62 5896 13425 1 7 8 0 3 69 12
4 1.1 4.8 31 26 59 4310 10143 1 9 11 0 10 60 11
5 1.4 4.7 36 30 55 3444 8096 2 10 18 0 17 45 10
6 1.6 6.8 43 35 51 4226 7070 2 5 34 7 21 25 8
7 1.8 8.5 51 42 53 4570 6484 2 1 26 16 32 16 9
8 2.0 7.6 59 49 53 3614 5881 3 1 22 17 35 16 10
9 2.3 7.1 66 54 53 3006 5335 3 1 20 18 35 16 10
10 2.5 6.6 73 60 53 2525 4847 3 1 18 20 34 17 10
11 2.7 6.1 79 65 52 2159 4418 4 1 17 22 33 17 11
12 2.9 5.7 84 70 52 1841 4037 4 1 15 25 31 17 11
13 3.2 5.3 90 74 52 1588 3699 4 1 14 27 29 17 12
14 3.4 5.0 95 78 52 1384 3401 5 1 12 30 28 18 12
15 3.6 4.7 99 82 52 1214 3136 5 1 10 33 25 19 12
16 3.8 4.4 104 85 52 1073 2901 5 1 9 40 19 19 12
17 4.1 4.1 108 89 53 945 2689 6 1 8 44 16 20 11
18 4.3 3.9 112 92 53 843 2500 6 1 6 44 17 21 11
19 4.5 3.6 115 95 53 755 2330 6 1 4 44 17 22 11
run 'fresnelx w395 g395 l330 s40 r21 11493.911 29109.688' to calculate the radius and placement of the mirror. 9109.688 = (330 / (330 - (345.453 + 321.462) / 2)) ^ 2
Tracking Error
Visualisation of tracking error from 0 to 1 degree in step of 0.02 degree. The image at the top right corner is the reflection of the back of the absorber. The average concentration level over both surfaces is 914 = 395 * 395 * 0.95 / (2 * 9 * 9)
Concentration with 420 mm lens
run 'fresnelx w420 g700 l330 e99.99 s40 r21 c20:4.5 c37:4.5' first to calculate the concentration levels
fresnelx w420 g700 l330 s40 r21 11937 2346.1 v.225
777.37W/m2 refractive index at 589.2nm(1.492) m(20), eff(99.990%)
SunHalfAngle(0.26657o)
Total input energy 137 Watts
Acrylic Fresnel Lens Width 420mm x 0.248mm, Area 0.18m2,
Focal Length 330mm (f/0.786), 700 grooves
Slice Radius Power Tot Tot QEff Ix Ax Area UV BlueGreen Red NIR IR
390 492 622 760 1110 4000
mm W W % % mm2 % % % % % %
Cell 1 Concentration Level 1937.0x, distance from lens 322.5mm, 0.98f,
radius 5.4mm
0 0.2 6.6 7 5 24 53539 53539 0 5 7 0 0 24 64
1 0.5 6.0 13 9 36 16293 25605 0 5 8 0 0 37 50
2 0.7 5.7 18 13 51 9243 16515 1 6 9 0 0 53 32
3 0.9 5.8 24 18 71 6754 12245 1 7 11 0 1 74 8
4 1.1 5.3 30 22 66 4791 9561 1 8 15 0 1 68 8
5 1.4 5.3 35 25 61 3884 7827 2 8 23 0 3 60 7
6 1.6 8.1 43 31 55 5062 7093 2 4 35 7 8 41 6
7 1.8 10.0 53 39 55 5394 6695 2 1 25 16 16 35 8
8 2.0 8.9 62 45 55 4245 6181 3 1 21 17 21 32 8
9 2.3 8.2 70 51 55 3487 5669 3 1 19 17 26 28 9
10 2.5 7.5 78 57 55 2896 5188 3 1 17 18 37 18 9
11 2.7 7.0 85 62 55 2465 4753 4 1 15 19 39 17 10
12 2.9 6.5 91 66 54 2110 4362 4 1 13 20 39 17 10
13 3.2 6.1 97 71 54 1834 4014 4 1 11 22 38 17 10
14 3.4 5.7 103 75 54 1602 3703 5 1 10 24 37 18 11
15 3.6 5.4 108 79 53 1405 3425 5 1 8 26 36 18 11
16 3.8 5.0 113 83 53 1237 3175 5 1 7 29 34 19 12
17 4.1 4.8 118 86 53 1098 2951 6 1 5 31 32 19 12
18 4.3 4.5 123 89 54 976 2748 6 1 4 34 30 20 11
19 4.5 4.2 127 93 54 868 2565 6 1 2 37 27 21 11
Cost Calculations
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Last updated: Sun, 24 Jan 2021 22:06:00 GMT |