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european journal of social sciences issn: 1450-2267 - EuroJournals

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European Journal <strong>of</strong> Social Sciences – Volume 5, Number 3 (2007)<br />

Figure 1 (a): PV/T collector with CPC, (b) PV/T collector without CPC<br />

Glass cover Solar cell<br />

Fin<br />

Results and Discussions<br />

The efficiency <strong>of</strong> the combined photovoltaic thermal collector is defined as the sum <strong>of</strong> thermal<br />

efficiency and electrical efficiency as:<br />

η pv / t = ηthermal<br />

+ ηelectrical<br />

The thermal efficiency <strong>of</strong> the collector with CPC and fins is as follows:<br />

η th =<br />

.<br />

m c p ∫ ( T 0 - T i ) dt<br />

A c CR ∫ I tot dt<br />

The electrical efficiency is as follows:<br />

η elect =<br />

∫ τ g I u η pv α pv<br />

'<br />

2 n<br />

' ρ pv ρ g ρ<br />

n<br />

R<br />

P CR d ρ R [ 1 + (<br />

CR<br />

CR ∫ I tot dt<br />

) dt<br />

The thermal efficiency <strong>of</strong> the collector without CPC is as follows:<br />

η th =<br />

.<br />

m c p ∫ ( T 0 - T i<br />

A c ∫ I tot dt<br />

) dt<br />

The electrical efficiency is as follows:<br />

η elect = ∫ τ g I tot η pv α pv P<br />

∫ I tot dt<br />

Where:<br />

I<br />

u<br />

I tot<br />

=<br />

CR<br />

Absorber plate<br />

Air in<br />

Air in<br />

CPC<br />

(a) (a)<br />

Insulator<br />

ηpv is solar cell efficiency which defines as follows:<br />

η = η [ 1 - 0.0045 ( T - T ) ]<br />

pv ref<br />

pav ref<br />

ηref is the reference efficiency <strong>of</strong> the solar cell at Tref = 25 Cº which is 15 %.<br />

Figure 2 show the comparative on the photovoltaic efficiency <strong>of</strong> the collectors with and without<br />

CPC. It can see that the photovoltaic efficiency is quite close between two collectors at flow rates less<br />

than 0.0316 kg/s, but the deviation becomes more pronounced for mass flow rate greater than or equal<br />

0.09 kg/s. the comparative on the thermal and combined efficiency <strong>of</strong> the collectors with and without<br />

121<br />

Fin<br />

Glass cover<br />

Air in<br />

Insulator<br />

(b)<br />

Solar cell<br />

Air in<br />

Absorber plate

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