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3.2.1 Global
Radiation
Our most important primary source of energy is the sun. Its
radiation regulates the energy budget of the atmosphere. The
total short-wave radiation falling on a horizontal surface is
termed "global radiation."
Global radiation is measured in the units W per m2
or kJ per minute-cm2, both of which indicate an
"energy flux density" or "work density." The
conversions are 1 kJ/min-cm2 = 1.67x105
W/m2 and 41.67 W/m2 = 1 kWh/m2d.
Radiation measurements taken over hours, days, or months are
known as "irradiation" or "energy density"
and correspondingly use the units kJ/cm2 or kWh/m2.
The conversion is 1 kJ/cm2 = 2.78 kWh/m2.
Global radiation deals with the total radiation from both
direct sunlight and diffuse celestial radiation. This difference
is based on the fact that daylight also exists in cases where
the sun is obstructed (e.g. by buildings or by cloudy skies),
thus the diffuse components of the sunlight still exert an
effect in the form of celestial radiation.
The importance of celestial radiation, especially for the
daytime ambient lighting to be discussed in Chapter
3.2.4, results from the cloudiness frequently present at
northerly latitudes. This portion of the global radiation
actually increases under cloudy skies, but only when the sky is
up to 80% covered.
Since diffuse celestial radiation and direct solar radiation
comprise nearly identical proportions of global radiation in
relation to a horizontal surface, an analysis of the energy
budget using only solar radiation would lead to entirely
inaccurate values.
Direct sunlight is at its maximum under clear skies. It can
be approximated by data for the duration of sunshine at a
location. Directly connected with the sunshine, however, is the
appearance of shadow. (The sundial that relies on shadows to
tell time "only keeps track of the sunny hours.") The
considerable patterns of light and shadow resulting from solar
geometry are dealt with in detail in Chapter
3.2.2.
In Stuttgart-Hohenheim the average annual total of global
radiation amounts to 402 kJ/cm2 for the 30-year
period from 1961 to 1990. This corresponds to an average value
of 127 W/m2 or 1,116 kWh/m2 of annual
radiation power.
Figure 3/4 depicts the distribution of average durations
of sunshine and the annual energy supply of the sun on 1 m2
surfaces in the Federal Republic of Germany. The duration of
sunshine here varies between 1,300 and 2,000 annual hours, while
the global radiation varies between 780 and 1,240 kWh/m2.
The values of the global radiation correlate very closely
with the duration of sunshine, as shown in Table 3/1.
This shows the average monthly global radiation totals for
Stuttgart-Hohenheim. The table also shows the average actual (measured)
duration of sunshine in monthly hours relative to the
astronomically possible duration of sunshine. The yearly
variation of actual and astronomically possible durations of
sunshine is the subject of Figure 3/5.
Of interest for energy
analyses related to spatial heating are the radiation patterns
during the home heating period between September and May. From
these, it emerges that the actual duration of sunshine relative
to the astronomically possible duration of sunshine drops
greatly because of cloud cover during the winter months. This
factor is represented by the "probability of sunshine"
(compare with Table 3/1).
|
Month |
Global Radiation
kJ/cm²
|
Duration
of sunshine
(h)
|
Potential
duration of sunshine (h)
|
Probability
of sunshine (%)
|
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January |
11,1 |
64,5 |
267 |
24 |
|
February |
17,0 |
87,4 |
282 |
31 |
|
March |
31,4 |
125,0 |
363 |
34 |
|
April |
42,4 |
156,6 |
405 |
39 |
|
May |
53,4 |
197,7 |
468 |
42 |
|
June |
56,5 |
210,6 |
477 |
44 |
|
July |
58,4 |
236,7 |
481 |
49 |
|
August |
49,6 |
212,1 |
437 |
49 |
|
September |
37,1 |
170,1 |
372 |
46 |
|
Oktober |
23,6 |
130,1 |
329 |
40 |
|
November |
12,3 |
76,8 |
270 |
28 |
|
December |
8,8 |
60,0 |
251 |
24 |
| . |
. |
. |
. |
. |
|
Year |
401,6 |
1727,6 |
4402 |
39 |
Table 3/1: Monthly and
yearly totals of global radiation, measured and astronomically
possible duration of sunshine, and the probability of sunshine
in Stuttgart-Hohenheim (1961-1990); Source: Institute for
Physics, University of Hohenheim
The detailed statistics necessary for the use of solar
technology are found in the comprehensive ATLAS OF EUROPEAN
SOLAR RADIATION (1984), Volume 1 of which relates to horizontal
surfaces and Volume 2 to inclined surfaces. (Figures
3/7 and Figures 3/8 are based on data from Volume 2 of this
atlas.)
Appendix J to the VDI-GUIDELINE 3789, Sheet 2 (1994),
contains instructions for the collection of data about radiation
patterns in Germany, Europe, and non-European regions.
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Fig. 3/3:
Measurement device for global radiation (Solarigraph according
to Robitzsch) |
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Fig. 3/4: Average annual duration
of sunshine and global radiation in the Federal Republic of Germany,
Source: Renewable Energies in Bavaria, Bayerisches Staatsministerium
für Wirtschaft und Verkehr
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Fig. 3/4a: Middle annual solar irradiation
(kWh / m²) in Baden-
Württemberg
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Solar- and wind energy atlas
Baden-Württemberg (LUBW)
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Fig. 3/5: Annual variation of the
potential and actual duration of sunshine in Stuttgart-Hohenheim
(1961-1990), Source: Institute for Physics, University of Hohenheim
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