2012
DOI: 10.1002/pip.2301
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Fast and reliable calculation of the two‐diode model without simplifications

Abstract: An algorithm to calculate the current in the two‐diode equivalent circuit of a solar cell is described and characterized in detail. It enables fitting measured current–voltage characteristics with hundreds of voltage points and six fit parameters at practically instantaneous speeds and can handle thousands of voltage points within a few seconds, without simplifications of the two‐diode model. This performance enables routine two‐diode model parameter extraction at in‐line speeds, which may help to enhance cell… Show more

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Cited by 80 publications
(45 citation statements)
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“…In case of the single‐diode model, methods to determine the model parameters from the limited information provided by manufacturer's data sheets have already been developed, but require the solution of high‐dimensional nonlinear equation systems. Here, we focus our investigations on the double‐diode model, since for conventional silicon cells, it provides better accuracy in fitting measured data, especially in the vicinity of the maximum power point . A first scheme for the double diode parameter extraction relying solely on data points available from cell data sheets (short circuit current, open circuit voltage, current and voltage at maximum power point) was presented by Ref., but suffers from some impracticalities and incompleteness of the analysis.…”
Section: Introductionmentioning
confidence: 99%
“…In case of the single‐diode model, methods to determine the model parameters from the limited information provided by manufacturer's data sheets have already been developed, but require the solution of high‐dimensional nonlinear equation systems. Here, we focus our investigations on the double‐diode model, since for conventional silicon cells, it provides better accuracy in fitting measured data, especially in the vicinity of the maximum power point . A first scheme for the double diode parameter extraction relying solely on data points available from cell data sheets (short circuit current, open circuit voltage, current and voltage at maximum power point) was presented by Ref., but suffers from some impracticalities and incompleteness of the analysis.…”
Section: Introductionmentioning
confidence: 99%
“…The used system is developed and constructed by the calibration laboratory (CalLab) of the Fraunhofer Institute for Solar Energy Systems Freiburg and has a measurement precision of +/− 1% relative as it is given in the specification of the system. The I–V curves allow the calculation of typical cell parameters ( J SC , V OC , FF and η ) as well as the extraction of the two‐diode model values ( J PH , J 01 , J 02 , R S and R P ) according to the following equation: J=JPHV+JRnormalSRPJ01eq()V+JRSkBT1J02eq()V+JRSn2kBT1…”
Section: Methodsmentioning
confidence: 99%
“…Typical industrial type mc‐Si solar cells as described in Section 2.1 were taken for the investigation in this work. The solar cells were characterised by illuminated I–V curve measurements to estimate cell parameters ( J SC , V OC , FF and η ) followed by the calculation of two‐diode model values ( J PH , J 01 , J 02 , R S and R P ) . Also, the first EL images for the ratio image calculation (Section 2.2) were taken at this stage.…”
Section: Methodsmentioning
confidence: 99%
“…As a result, the equivalent circuit of the solar cell is described at different levels of approximation. The two-diode model (Fig 1a) is basically the most complex and accurate in the engineering literature [4]. The photocurrent I L is produced by a current source, primarily depending on solar irradiance.…”
Section: Introductionmentioning
confidence: 99%