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Technical Application Papers No.10 Photovoltaic plants - ABB

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2.8.2 Temperature of the modules<br />

Contrary to the previous case, when the temperature of<br />

the modules increases, the produced current remains<br />

practically unchanged, whereas the voltage decreases<br />

and with it there is a reduction in the performances of<br />

the panels in terms of produced electric power (Figure<br />

2.12).<br />

Figure 2.12<br />

3<br />

2<br />

1<br />

0<br />

The variation in the no-load voltage V oc of a PV module<br />

with respect to the standard conditions V oc,stc , as a<br />

function of the operating temperature of the cells T cell ,<br />

is expressed by the following formula (Guidelines CEI<br />

82-25, II ed.):<br />

where:<br />

β is the variation coefficient of the voltage according to<br />

temperature and depends on the typology of PV module<br />

(usually -2.2 mV/°C/cell for crystalline silicon modules and<br />

about -1.5 ÷ -1.8 mV/°C/cell for thin film modules);<br />

N s is the number of cells in series in the module.<br />

Therefore, to avoid an excessive reduction in the performances,<br />

it is opportune to keep under control the service<br />

temperature trying to give the panels good ventilation<br />

to limit the temperature variation on them. In this way<br />

it is possible to reduce the loss of energy owing to the<br />

temperature (in comparison with the temperature of 25°C<br />

under standard conditions) to a value around 7% 7 .<br />

7 The reduction in efficiency when the temperature increases can be estimated as 0.4<br />

to 0.6 for each °C.<br />

E = 1000 W/m 2<br />

0.2 0.4 0.6<br />

20<br />

40<br />

60<br />

80<br />

100<br />

Voltage<br />

V oc (T) = V oc,stc - N S . β . (25-T cel ) [2.13]<br />

2.8.3 Shading<br />

Taking into consideration the area occupied by the modules<br />

of a PV plant, part of them (one or more cells) may<br />

be shaded by trees, fallen leaves, chimneys, clouds or<br />

by PV panels installed nearby.<br />

In case of shading, a PV cell consisting in a junction<br />

P-N stops producing energy and becomes a passive<br />

load. This cell behaves as a diode which blocks the<br />

current produced by the other cells connected in series<br />

thus jeopardizing the whole production of the module.<br />

Moreover the diode is subject to the voltage of the other<br />

cells which may cause the perforation of the junction<br />

due to localized overheating (hot spot) and damages to<br />

the module.<br />

In order to avoid that one or more shaded cells thwart the<br />

production of a whole string, some diodes which by-pass<br />

the shaded or damaged part of module are inserted at<br />

the module level. Thus the functioning of the module is<br />

guaranteed even if with reduced efficiency. In theory it<br />

would be necessary to insert a by-pass diode in parallel<br />

to each single cell, but this would be too onerous for the<br />

ratio costs/benefits. Therefore 2÷4 by-pass diodes are<br />

usually installed for each module (Figure 2.13).<br />

Figure 2.13<br />

+<br />

Solar radiation<br />

By-pass diode<br />

Shadow<br />

I I<br />

<strong>Photovoltaic</strong> <strong>plants</strong><br />

–<br />

25<br />

2 Energy production

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