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Specific series resistance evaluation using photoluminescence signal of Si solar cells

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Abstract

A new method is introduced to evaluate the specific series resistance distribution of solar cells using photoluminescence images under both short circuit and open circuit conditions. An experiment was perfomed to confirm that method is insensitive to the illumination intensity distribution and valid for different illumination levels.

©2012 Optical Society of America

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Figures (6)

Fig. 1
Fig. 1 Equivalent circuit of a solar cell.
Fig. 2
Fig. 2 Experimental setup.
Fig. 3
Fig. 3 The transmission spectrum of the filter for the CCD.
Fig. 4
Fig. 4 (a) Laser illumination pattern on the sample. (b) The intensity distribution along the dashed line in (a). The intensity distribution over the illumination area has a variation as large as 40%.
Fig. 5
Fig. 5 (a) Calculated photovoltage distribution of the solar cell sample, (b) The photovoltage profile along the red dashed line in (a).
Fig. 6
Fig. 6 Using the proposed method, the specific series resistance distribution of a solar cell can be calculated under an average illumination intensity of (a) 0.82 W/cm2 and (b) 0.67 W/cm2. (c) is the result of (a) divided by (b).

Equations (14)

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i= i s ( e q V D η ideal kT 1 ),
i s =qA( D np τ p n0 + D pn τ n p0 ),
i term = i ph i s [ e q( V term i term R s ) ηkT 1 ] V term i term R s R sh .
i term R s = j term R ss ,
j term = j s ( e V term j term R ss η ideal V T 1 ),
j s =q( D np τ p n0 + D pn τ n p0 ),
V term = 1 η ideal V T ln( j term j s +1 )+ j term R ss .
η PL ( x,y )= I PL_int ( x,y ) I illu_int ( x,y ) h ν illu h ν PL = I PL_int ( x,y ) I illu_ext ( x,y )[ 1 R illu ( x,y ) ] h ν illu h ν PL ,
I PL_ext ( x,y )= I PL_int ( x,y )[ 1 R PL ( x,y ) ] η opt ( x,y ),
n ˙ tot ( x,y )=G( x,y )= I illu_int ( x,y ) h ν illu W ,
n ˙ PL,oc ( x,y )= η PL ( x,y )G( x,y ) n ˙ PL,sc ( x,y ) η PL ( x,y )[ G( x,y ) n ˙ i ( x,y ) ]
I PL_int ( x,y )= n ˙ PL ( x,y )h ν PL W
η i ( x,y ) n ˙ i ( x,y ) G( x,y ) =1 n ˙ PL,sc ( x,y ) n ˙ PL,oc ( x,y ) =1 I PL_ext,sc ( x,y ) I PL_ext,oc ( x,y ) .
j sc ( x,y )= i sc A tot η i ( x,y ) x,y η i ( x,y )dxdy ,
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