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Solar panel calclulations and adjustments for North America

Pre calculation of all relevant data for solar panel installation
Attention: For fixed panels, the it is assumed the panel is facing south
Choose what you want to calculate
Solar Declination of the south-facing panel
Azimuth and Altitude angle for all months and hours
Irradiation and flux of solar radiation [w/m2]
Panel options
Fixed panel
One axis tracking system
Two axis tracking system
The slope and orientation of the roof or panel in relation to the south
The pitch of the roof of your house
Orientation in relation to the south

Calculation of the panel slope on south-facing solar panel for latitudeee : 45
Roof slope:
40
Orientation:
south
January February March April May June July August Septembar October November December
Deklination -23.01 -17.52 -8.29 4.02 14.90 22.04 23.12 17.91 7.72 -4.22 -15.36 -22.11
sun height 21.99 27.48 36.71 49.02 59.90 67.04 68.12 62.91 52.72 40.78 29.64 22.89
ideal panel angle * 68.01 62.52 53.29 40.98 30.10 22.96 21.88 27.09 37.28 49.22 60.36 67.11
* ideal panel angle for one axis adjustable panels
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Calculation of Azimuth and Altitude angles January-December from 7 a.m. to 6 p.m
Time AngleJanuaryFebruaryMarchAprilMayJuneJulyAugustSeptemberOctoberNovemberDecember
7 Altitud.
Azimuth.
0
-43.40
0
-43.12
4.54
-43.25
13.42
-44.60
21.02
-47.03
25.78
-49.33
26.49
-49.74
23.06
-47.93
16.05
-45.29
7.50
-43.54
0
-43.08
0
-43.33
8 Altitud.
Azimuth.
2.81
-37.81
7.14
-38.11
14.35
-39.20
23.72
-41.98
31.57
-45.95
36.37
-49.51
37.07
-50.13
33.64
-47.35
26.45
-43.15
17.49
-39.95
8.83
-38.30
3.52
-37.85
9 Altitud.
Azimuth.
10.59
-30.57
15.31
-31.22
23.13
-32.94
33.25
-36.72
41.68
-42.03
46.79
-46.90
47.52
-47.76
43.89
-43.93
36.19
-38.28
26.53
-33.98
17.15
-31.55
11.37
-30.66
10 Altitud.
Azimuth.
16.69
-21.66
21.79
-22.38
30.26
-24.16
41.33
-28.09
50.68
-33.91
56.40
-39.71
57.23
-40.78
53.15
-36.12
44.58
-29.76
33.97
-25.23
23.78
-22.73
17.53
-21.76
11 Altitud.
Azimuth.
20.62
-11.28
26.01
-11.75
35.02
-12.91
46.96
-15.55
57.34
-19.82
63.95
-24.63
64.93
-25.59
60.16
-21.58
50.52
-16.73
38.99
-13.62
28.12
-11.98
21.51
-11.34
12 Altitud.
Azimuth.
21.99
0.00
27.48
0.00
36.71
0.00
49.02
0.00
59.90
0.00
67.04
0.00
68.12
0.00
62.91
0.00
52.72
0.00
40.78
0.00
29.64
0.00
22.89
0.00
13 Altitud.
Azimuth.
20.62
11.28
26.01
11.75
35.02
12.91
46.96
15.55
57.34
19.82
63.95
24.63
64.93
25.59
60.16
21.58
50.52
16.73
38.99
13.62
28.12
11.98
21.51
11.34
14 Altitud.
Azimuth.
16.69
21.66
21.79
22.38
30.26
24.16
41.33
28.09
50.68
33.91
56.40
39.71
57.23
40.78
53.15
36.12
44.58
29.76
33.97
25.23
23.78
22.73
17.53
21.76
15 Altitud.
Azimuth.
10.59
30.57
15.31
31.22
23.13
32.94
33.25
36.72
41.68
42.03
46.79
46.90
47.52
47.76
43.89
43.93
36.19
38.28
26.53
33.98
17.15
31.55
11.37
30.66
16 Altitud.
Azimuth.
2.81
37.81
7.14
38.11
14.35
39.20
23.72
41.98
31.57
45.95
36.37
49.51
37.07
50.13
33.64
47.35
26.45
43.15
17.49
39.95
8.83
38.30
3.52
37.85
17 Altitud.
Azimuth.
0
43.40
0
43.12
4.54
43.25
13.42
44.60
21.02
47.03
25.78
49.33
26.49
49.74
23.06
47.93
16.05
45.29
7.50
43.54
0
43.08
0
43.33
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Extraterrestrial radiation Io. Flux of solar radiation Ib [w/m2]

The flux of solar radiation that reaches the earth`s surface in the form of direct radiation is less than extraterrestrial radiation due to absorption and scattering in the atmosphere.

First day in month: JanuaryFebruaryMarchAprilMayJuneJulyAugustSeptemberOctoberNovemberDecember
Io
Ib
1423.78
851.29
1393.60
900.81
1347.02
930.77
1332.20
929.37
1370.32
906.70
1417.07
880.71
1415.92
866.64
1368.19
867.71
1331.22
877.44
1348.71
880.84
1400.34
864.77
1423.65
840.17
Incident angles of a fixed solar panel for characteristic times and dates
Panel slope: 40 deg.-- Orijentation south south-east 0 deg.
time JanuaryFebruaryMarchAprilMayJuneJulyAugustSeptemberOctoberNovemberDecember
7 67.57 63.93 58.17 51.47 46.86 44.73 44.48 45.87 49.74 55.81 62.54 66.96
8 56.99 53.34 47.75 41.79 38.57 37.78 37.76 38.10 40.44 45.55 51.97 56.38
9 46.78 42.91 37.15 31.69 30.00 30.80 31.04 30.15 30.73 35.01 41.47 46.13
10 37.60 33.26 26.80 21.29 21.47 24.26 24.83 22.42 20.75 24.46 31.64 36.87
11 30.70 25.64 17.69 10.73 13.77 19.13 20.03 15.86 10.68 14.64 23.71 29.86
12 28.01* 22.52* 13.29* 0.98 * 9.90 * 17.04* 18.12* 12.91* 2.72 * 9.22 * 20.36* 27.11*
13 30.70 25.64 17.69 10.73 13.77 19.13 20.03 15.86 10.68 14.64 23.71 29.86
14 37.60 33.26 26.80 21.29 21.47 24.26 24.83 22.42 20.75 24.46 31.64 36.87
15 46.78 42.91 37.15 31.69 30.00 30.80 31.04 30.15 30.73 35.01 41.47 46.13
16 56.99 53.34 47.75 41.79 38.57 37.78 37.76 38.10 40.44 45.55 51.97 56.38
17 67.57 63.93 58.17 51.47 46.86 44.73 44.48 45.87 49.74 55.81 62.54 66.96
Indoor radiation : Direct IBC , Difuse IDC i Reflections I RC
Total radiation for characteristic dates at solar noon [W/m2]
Month JanuaryFebruaryMarchAprilMayJuneJulyAugustSeptemberOctoberNovemberDecember
IBC
I DC
I RC

Σ
751.56
41.68
4.45

797.69
832.14
44.11
3.76

880.00
905.83
45.58
2.17

953.58
929.23
45.51
1.36

976.10
893.20
44.40
3.32

940.91
842.04
43.12
4.44

889.61
823.66
42.44
4.54

870.64
845.76
42.49
3.68

891.93
876.44
42.96
1.95

921.36
869.47
43.13
1.33

913.93
810.72
42.34
3.24

856.31
747.87
41.14
4.24

793.26
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