2. Solar Cell: The short-circuit current of a silicon p-n solar cell at room tem

Question

2. Solar Cell: The short-circuit current of a silicon p-n solar cell at room temperature isIpoto 100 mA. The technological parameters ofthe cell are A, 4cmr ND 5x10 6cm' ?,-380cmr Vs1,-10? and filling acto1 (a) Derive the equation for the open-circuit voltage, Voe, and calculate Voc (b) Calculate the maximum power that can be obtained from this cell. What load resistance RL is needed to extract this power? (c) How many cells, operating at the maximum power, have to be connected in series to obtain a voltage of 12 V? How many 12-V cells have to be connected in parallel so that the maximum power is 5.7 W?

Explanation / Answer

Ans: A.Voc=(nKT/q)ln(Isc/Io+1), n=1(for ideal diode factor), thermal voltage=KT/q=0.0259v, Isc=100mA, Io=4*10-11A=Reverse saturation current

Voc=1*0.0259*ln(100*10-3/4*10-11+1)=0.56v

B.Pmax=VocIsc=0.56*100*10-3=0.056W

Load resistance=Voc2/Pmax=0.562/0.056=5.6 ohm

C.At Pmax, Number of cell=12v/o.56v=21.42 required to get 12v

Number of 12v cell required to get 5.7w=5.7/0.056=101.78

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