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DIURNAL VARIATIONS OF THE AMBIENT TEMPERATURE 933<br />

Gdm (0)<br />

Ddm (0)<br />

Ghm (0)<br />

Dhm (0)<br />

Bhm (0) = Ghm (0) − Dhm (0)<br />

Dhm (b, a); bhm (b, a); Rhm (b, a)<br />

Equation<br />

(20.18)<br />

(20.23−20.26)<br />

(20.28, 20.29)<br />

(20.32−20.38)<br />

w s<br />

Gdm (b, a) = ∑ Ghm (b, a)<br />

−w s<br />

Figure 20.16 Diagram explaining the calculation of the daily irradiation on an inclined surface<br />

G dm (β, α) from the corresponding horizontal value G dm (0)<br />

D dm (50) = 633 Wh/m 2 ; B dm (50) = 2990 Wh/m 2 ; R dm (50) = 66 Wh/m 2<br />

G dm (50) = 3689 Wh/m 2<br />

It is worth mentioning that a more detailed calculation, following the procedure outlined in<br />

Figure 20.16, would lead to G dm (50) = 3956 Wh/m 2 . That means the error associated to<br />

equation (20.40) is below 8%. This difference is mainly due to the different consideration<br />

of the diffuse radiance distribution.<br />

20.6 DIURNAL VARIATIONS OF THE AMBIENT<br />

TEMPERATURE<br />

The behaviour of the photovoltaic modules depends, to some extent, on the ambient<br />

temperature. Just as it is for solar radiation, sometimes it is necessary to determine how<br />

this parameter varies throughout the day. The data available as a starting point for this<br />

calculation are, in general, the maximum and minimum temperature of the day, T aM and<br />

T am , respectively.<br />

A model that is simple but, nevertheless, gives a good fit to the experimental values<br />

is obtained from the fact that the temperature evolves in a similar manner to the global<br />

radiation but with a delay of about 2 h. This fact allows the following three principles to<br />

be deduced<br />

• T am occurs at sunrise (ω = ω S ).<br />

• T aM occurs two hours after midday (ω = 30 ◦ ).<br />

• Between these two times, the ambient temperature develops according to two semi<br />

cycles of a cosine function: one from dawn to midday, and the other between midday<br />

and sunrise of the following day.

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