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COMPONENTS FOR PV SYSTEMS 793<br />

In stand-alone systems, the fundamental difference in operating behaviour as compared<br />

to grid-connected systems is due to the storage battery. As stand-alone systems<br />

generally have to achieve a certain, pre-determined solar fraction within a given operating<br />

period, the decisive time within that period for the system sizing is the one during<br />

which the radiation level is lowest. The optimal tilt angle depends not only on the radiation<br />

characteristic but also on the system itself. Figure 17.36 shows the optimal tilt angle, for<br />

which the solar generator area is minimal for the relevant pre-determined solar fraction,<br />

and the corresponding solar generator power.<br />

Whereas in summer, the storage capacity does not have any effect on the optimal<br />

tilt angle (solid line), a dependence can be observed in winter (dotted line); higher solar<br />

fractions lead to less steep inclinations, particularly for small storage capacities. The<br />

explanation for this difference is the variation in the daily radiation in winter. If the<br />

storage capacity is small, sunny days lead to surpluses, so that the available radiation<br />

cannot be fully used. Thus, on overcast days, the (weak) diffuse radiation must be used<br />

optimally, with a less steep slope (smaller tilt angle) as a result.<br />

17.3.6 Energy-saving Domestic Appliances<br />

On average, a four-person household in Germany consumes about 3500 kWh electricity<br />

per year, if electricity is used neither for space heating nor for water heating. In order to<br />

meet this demand, for example, with a grid-connected photovoltaic system, about 4-kW<br />

rated power, that is, a module area of about 40 m 2 , would be needed in Southern Germany.<br />

With a module price of about 4 ¤ per watt of rated power, the solar modules alone would<br />

cost ¤16 000. In view of these high investment costs, the potential for saving energy with<br />

the appliances used in the household should be exploited as far as possible, rather than<br />

investing in a large system.<br />

C<br />

FhG-ISE<br />

90<br />

80<br />

70<br />

June<br />

December<br />

300<br />

250<br />

June<br />

December<br />

Optimum tilt angle<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

F sol = 0.75<br />

F sol = 0.98<br />

F sol = 0.98<br />

2 4 6 8 10 12 14 16<br />

Storage capacity<br />

[days]<br />

Power<br />

[W]<br />

200<br />

150<br />

100<br />

50<br />

0<br />

F sol = 98%<br />

F sol = 98%<br />

F sol = 75%<br />

2 4 6 8 10 12 14 16<br />

Storage capacity<br />

[days]<br />

Figure 17.36 Optimal tilt angle for minimising the solar generator size and corresponding values<br />

of the solar generator power as a function of the storage capacity

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