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Design and Implementation of On-board Electrical Power ... - OUFTI-1

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Figure 3.6: The equivalent circuit <strong>of</strong> a solar cell (Picture from Wikipedia).With,[ ] ) qVjI D = I 0(exp − 1nkTI 0 = K 1 T 3 exp( ) −EgkTV [V ] : Output voltageI [A] : Output currentI L [A] : Photogenerated currentI D [A] : Diode currentI 0 [A] : Reverse saturation currentV j [V ] : Voltage across diodeq [As] : Electric chargek [J/K] : Boltzmann constantT [K] : Temperaturen - : Diode ideality factorK 1 [A/(cm 2 K 3 )] : Manufacturer’s thermal constantE g [J] : Forbidden b<strong>and</strong> energyThe third equation is the Shockley ideal diode equation.3.2.4 Matlab modelBased on this model, the SwissCube team has written a Matlab program to compute the I-Vcurve <strong>of</strong> a 26.6% efficiency solar cell, as a function <strong>of</strong> temperature <strong>and</strong> insolation [15]. Withthe help <strong>of</strong> parameters given by Azurspace, this code has been adapted to the 3G 30% solarcells in [3]. Some minor mistakes were corrected (i.e. value <strong>of</strong> the short circuit current) <strong>and</strong>now the code can be used to obtain <strong>and</strong> display an approximation <strong>of</strong> the I-V curve <strong>of</strong> our solarcells. Figures 3.7 <strong>and</strong> 3.8 show I-V <strong>and</strong> P-V curves for temperatures from -35 ◦ C to +45 ◦ C(minimum <strong>and</strong> maximum temperatures on solar panels according to thermal simulations),under a full insolation (G = G nom = 1, 350W/m 2 )24

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