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Lets consider a solar cell as an ideal pn-junction, for simplicities sake even without the current contributions from the space charge region, but with a built in series resistance Rser and a shunt resistance Rshunt | |||||||
| We have the following equivalent circuit diagram (also defining what is meant by a shunt resistance). See also the "Solar Cell Primer" in a basic module | ||||||||
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The shunt resistance takes into account that the huge area of the pn-junction of a solar cell might have weak points (locally, e.g. at the edge) which short-circuit the junction somewhat. These defects are summarily described by a shunt resistor. | |||||||
| The constant current source mimics the current generated in the junction by light. it simply defines a current value Iphot (not to be mixed up with the terminal current I) that is given by the light and added (with a negative sign) to the junction current, i.e. Ijunct = Idiode(U) Iphot. Iphot thus simply moves the total characteristics of the diode downwards on the current scale. | ||||||||
| Take the following schematic curve of I-U-characteristics as a reference and for the definition of the following terms | ||||||||
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The fill factor is the relation between the area of the yellow rectangle to the pinkish area under the characteristics. | |||||||
| Derive the complete current-voltage relationship. | ||||||||
| Discuss qualitatively the influence of the two resistors with particular respect to: | ||||||||
| The open-circuit voltage UOC | ||||||||
| the short-circuit current ISC | ||||||||
| The fill factor FF (the degree of "rectangularism" of the characteristics). | ||||||||
| The efficiency h which is proportional to UOC, ISC, and FF, i.e. | ||||||||
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| Link to the solution |
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© H. Föll