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SOLAR PANELS IRRADIATION on **** 21 Jan 2017 **** (summertime) | Time
zone: GMT +1 h
Longitude = East 6 deg
0' | Latitude = North 52 deg 0'
House: wall at sunny South side: Height = 2.75 m
Panels: Width = 10.5 | Height(*) = 3 m | area =
31.5 m^2.
(*):
measured along oblique roof, from roof top downwards.
Intrinsic efficiency = 20 %
Shading object: X = 5 m | Y = 7 m | Height = 13 m
shape:
cylinder ; diameter: 1.0 m.
Direction of X-axis w.r.t. South: 3 degr. towards east
Sky clearness = 90 %
fractions (%): diffuse: 7.3 ;
direct: 66.0 ; total: 73.3
----------------------------------------------------------------------------------------
time Altitude Azimuth Irradiation Shadow top on roof Intersect Area in
(h/m) (deg) (deg) efficiency (%) Y-pos (m)
height* (m) with roof? shadow (%)
-------
-------- ------- -------------
--------- -----------
---------- ----------
12: 0 14.5
154.0 76.3 28.1 0.3 9.7 no 6.3
...
1: 0 -56.6 0.0
0.0 0.0 0.0 0.0 no sun 0.0
2: 0 -57.8 0.0
0.0 0.0 0.0 0.0 no sun 0.0
3: 0 -54.9 0.0
0.0 0.0 0.0 0.0 no sun 0.0
4: 0 -48.8 0.0
0.0 0.0 0.0 0.0 no sun 0.0
5: 0 -40.8 0.0
0.0 0.0 0.0 0.0 no sun 0.0
6: 0 -31.9 0.0
0.0 0.0 0.0 0.0 no sun 0.0
7: 0
-22.7 0.0 0.0
0.0 0.0 0.0 no sun 0.0
8: 0 -13.6 0.0
0.0 0.0 0.0 0.0 no sun 0.0
9: 0 -5.0 0.0
0.0 0.0 0.0 0.0 no sun 0.0
10: 0 2.9
128.0 42.9 10.2
-13.8 13.1 no 0.0
11: 0 9.5
140.5 61.9 14.7 -4.7 10.7 no 0.5
12: 0 14.5
154.0 76.3 28.1 0.3 9.7 no 6.3
13: 0 17.5
168.3 85.2 37.0 3.9 9.3 no 8.4
14: 0 18.2
183.2 87.9 39.4 7.0 9.3 no 9.3
15: 0 16.5
197.8 84.3 34.9 10.2 9.6 no 8.3
16: 0 12.6
211.9 74.6 23.7 13.9 10.3 no 0.0
17: 0 6.9
225.0 59.4 14.1 19.2 11.7 no 0.0
18: 0 -0.3 0.0
0.0 0.0 0.0 0.0 no sun 0.0
19: 0 -8.5 0.0
0.0 0.0 0.0 0.0 no sun 0.0
20: 0 -17.3 0.0
0.0 0.0 0.0 0.0 no sun 0.0
21: 0 -26.5 0.0
0.0 0.0 0.0 0.0 no sun 0.0
22: 0 -35.7 0.0
0.0 0.0 0.0 0.0 no sun 0.0
23: 0 -44.2 0.0
0.0 0.0 0.0 0.0 no sun 0.0
24: 0 -51.5 0.0
0.0 0.0 0.0 0.0 no sun 0.0
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Sunrise: 9:31 h |
Sunset: 18:4 h (+/-2';
corrected for atmospheric refraction)
Irradiation efficiency: columns: 1st: direct from
sun;
2nd:
corr. for atmosph. transmission.
Max. elevation (altitude) = 18.22 at 13:46 h
Cumulative irradiance efficiency today = 572.5 %
and corr.
for atmosph. transmission (clear sky) : 202.1 %
(averaged transmission factor:
0.3531)
and also
corrected for shadows = 190.6 %
(correction factor for shadows:
0.9429
and
corrected for (partly) cloudy sky (clearness = 90 %): 174.6 % ;
(correction factor for clouds:
0.9163 (diffusive + direct)
Accumulated energy today =
17.19 kWh (clear skies)
idem
including shadows = 16.21,
idem
including cloudy sky = 14.85,
calculated
with 1350 W/m^2 perpendicular solar extraterrestrial
irradiance
and 20 %
intrinsic (electronic) efficiency.
Efficiency of irradiation = cosine of angle
between the solar ray and
the normal
perpendicular vector on roof (= 100% at perpendicular incidence)
1st/2nd
column: without/with correction for atmospheric air passage.
The
irradiance efficiency is calculated without shadow.
Altitude angle (= elevation = 90 degr. - zenith) measured from local ground level
Shadow spot = intersection point of that sun ray
which crosses (touches) the top
of the
overshadowing object, with the (extended) roof plane (measured along the
roof).
If
Height<0, then intersection in front of the wall.
========================================================================================
RESULTS FOR DAYS
21 OF WHOLE YEAR **** 2017
****
Estimated produced energy output (kWh):
(output of
present day (21) taken as average day over the month,
and
output multiplied with nr. of days in that month.
| --- clear sky --- |
--- with shadows --- | with shadows and clouds
month days
| month per m^2
<day> | month per m^2
<day> | month per m^2
<day>
----- --
| ------- ------ ------ | ------- ------
------ | ------- ------ ------
1 Jan :
31 | 533.0
16.9 17.2 | 502.5
16.0 16.2 | 460.4
14.6 14.9
2 Feb :
28 | 777.6
24.7 27.8 | 735.1
23.3 26.3 | 673.5
21.4 24.1
3 Mar :
31 |
1155.2 36.7 37.3 |
1116.5 35.4 36.0 |
1023.0 32.5 33.0
4 Apr :
30 |
1307.1 41.5 43.6 |
1307.1 41.5 43.6 |
1197.6 38.0 39.9
5 May :
31 |
1418.8 45.0 45.8 |
1418.8 45.0 45.8 |
1299.9 41.3 41.9
6 Jun :
30 |
1382.7 43.9 46.1 |
1382.7 43.9 46.1 |
1266.9 40.2 42.2
7 Jul :
31 |
1418.0 45.0 45.7 |
1418.0 45.0 45.7 |
1299.3 41.2 41.9
8 Aug :
31 |
1349.0 42.8 43.5 |
1349.0 42.8 43.5 |
1236.0 39.2 39.9
9 Sep :
30 |
1122.6 35.6 37.4 |
1091.7 34.7 36.4 |
1000.3 31.8 33.3
10 Oct : 31
| 852.1 27.1
27.5 | 809.1 25.7
26.1 | 741.3 23.5
23.9
11 Nov : 30
| 509.6 16.2
17.0 | 479.0 15.2
16.0 | 438.9 13.9
14.6
12 Dec : 31
| 427.4 13.6
13.8 | 403.6 12.8
13.0 | 369.8 11.7
11.9
----- --
| ------- ------ ------ | ------- ------
------ | ------- ------ ------
Total
365 | 12253.0 389.0
33.6 | 12013.1 381.4 32.9 | 11007.0 349.4
30.2
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(calculated with 1350 W/m^2 perpendicular solar irradiance
(and 20 % intrinsic (electronic) efficiency)
Total yearly cumulative irradiance efficiency
= 257140 %
with
correction for air transmission
144068 %,
and for
shadows: 141247 %, and for
clouds: 129418 %.
(calculated by multiplying each month's cumulative efficiencies on
this day (21)
(times the
number of days in that month, and summing up over all months)
==========================================================================================
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