CN103091616A - New analytic method for extracting solar battery parameters - Google Patents
New analytic method for extracting solar battery parameters Download PDFInfo
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- CN103091616A CN103091616A CN2013100321629A CN201310032162A CN103091616A CN 103091616 A CN103091616 A CN 103091616A CN 2013100321629 A CN2013100321629 A CN 2013100321629A CN 201310032162 A CN201310032162 A CN 201310032162A CN 103091616 A CN103091616 A CN 103091616A
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Abstract
The invention discloses a new analytic method for extracting solar battery parameters. The method is mainly used for the technical field of energy. According to the new analytic method for extracting the solar battery parameters, three boundary conditions that a solar battery photo-generated current is much larger than a reverse saturation current, solar battery parallel resistance is much larger than series resistance, and the solar battery photo-generated current is similarly equal to a negative short-circuit current are used, a first-order differential derivation equation and a second-order differential derivation equation of a solar battery current output equation are simplified, five closed algebraic equation sets are built, and five electrical parameters which are the solar battery photo-generated current, the reverse saturation current, an ideal factor, the parallel resistance and the series resistance are analyzed and drawn. The new analytic method for extracting the solar battery parameters has the advantages that the five parameters of the solar battery can be efficiently and accurately extracted through single volt-ampere characteristic curve of the solar battery under illumination.
Description
Technical field:
The present invention relates to the extractive technique field of solar cell parameter, be specifically related to a kind of analytic method of new extraction solar cell parameter.
Background technology:
The solar cell parameter (refers to photogenerated current, reverse saturation current, ideal factor, parallel resistance and resistance in series) extractive technique obtains photovoltaic field broad research, because these parameters are to weigh the important evidence of solar cell quality, be the specific targets of weighing its electricity conversion.But the solar cell electric current output equation that comprises above parameter is a transcendental equation, can't resolve and obtain each parameter.In order to address this problem, people put forward various solar cell parameter extracting methods [(Cha Jun etc., solar energy journal, 2007.28(9): 992), (Liu Feng etc., photoelectron # laser, 2010.21 (8): 1181), (Chunfu Zhang, et al. Journal of applied physics, 2011.110:064504), (F.J. Toledo, et al., Renewable Energy, 2012.43:83)].The target that all methods are pursued is efficiently and accurately to extract the solar cell parameter.
So at this, we propose a kind of analytic method of new extraction solar cell parameter; At first the method utilizes the solar cell photogenerated current much larger than reverse saturation current, the solar cell parallel resistance is approximately equal to 3 boundary conditions of negative short-circuit current much larger than resistance in series and solar cell photogenerated current, the single order differential differentiate equation of abbreviation solar cell electric current output equation and second-order differential differentiate equation; Secondly, set up 5 sealing Algebraic Equation set, comprise solar cell electric current output equation under short-circuit conditions, solar cell electric current output equation under open circuit situation, the single order differential differentiate equation of solar cell electric current output equation under short-circuit conditions, the single order differential differentiate equation of solar cell electric current output equation under open circuit situation, and the second-order differential differentiate equation of the solar cell electric current output equation under free voltage; At last, according to the solar cell volt-ampere characteristic of measuring under illumination, adopt above system of equations to resolve and extract solar cell photogenerated current, reverse saturation current, ideal factor, 5 electrical parameters of parallel resistance and resistance in series.
Summary of the invention:
The new method that the purpose of this invention is to provide a kind of solar cell parameter extraction, it relies on solar cell wall scroll volt-ampere characteristic under illumination, realizes efficiently and accurately extracting the solar cell parameter.
The present invention is achieved by the following technical solutions, and method step is:
(1) utilize the solar cell photogenerated current much larger than reverse saturation current, the solar cell parallel resistance is approximately equal to 3 boundary conditions of negative short-circuit current much larger than resistance in series and solar cell photogenerated current, the single order differential differentiate equation of abbreviation solar cell electric current output equation and second-order differential differentiate equation;
(2) set up 5 sealing Algebraic Equation set, comprise solar cell electric current output equation under short-circuit conditions, solar cell electric current output equation under open circuit situation, the single order differential differentiate equation of solar cell electric current output equation under short-circuit conditions, the single order differential differentiate equation of solar cell electric current output equation under open circuit situation, and the second-order differential differentiate equation of the solar cell electric current output equation under free voltage;
(3) according to the solar cell volt-ampere characteristic of measuring under illumination, adopt above-mentioned system of equations to resolve and extract solar cell photogenerated current, reverse saturation current, ideal factor, 5 electrical parameters of parallel resistance and resistance in series, and obtain computing time;
(4) with above-mentioned 5 electrical parameter substitution solar cell electric current output equations, the volt-ampere characteristic under overall match illumination obtains error of fitting.
In described step (1), in the single order differential differentiate equation of abbreviation solar cell electric current output equation and second-order differential differentiate equation process, utilized the solar cell photogenerated current much larger than reverse saturation current, the solar cell parallel resistance is approximately equal to 3 boundary conditions of negative short-circuit current much larger than resistance in series and solar cell photogenerated current.
In described step (2), 5 sealing Algebraic Equation set comprise the second-order differential differentiate equation of the solar cell electric current output equation under free voltage.
In described step (4), the volt-ampere characteristic under overall match illumination can obtain error of fitting.
Much larger than reverse saturation current, the solar cell parallel resistance is approximately equal to 3 boundary conditions of negative short-circuit current much larger than resistance in series and solar cell photogenerated current according to the solar cell photogenerated current, and 5 sealing Algebraic Equation set are:
(5)
Wherein equation (1) is solar cell electric current output equation under short-circuit conditions, equation (2) is solar cell electric current output equation under open circuit situation, equation (3) is the single order differential differentiate equation of solar cell electric current output equation under short-circuit conditions, equation (4) is the single order differential differentiate equation of solar cell electric current output equation under open circuit situation, and equation (5) is the second-order differential differentiate equation of the solar cell electric current output equation under free voltage.
In above formula
The solar cell short-circuit current,
The solar cell photogenerated current,
The solar cell reverse saturation current,
Solar cell series connection resistance,
The solar cell ideal factor,
Thermal voltage constant under the solar cell room temperature,
The solar cell parallel resistance,
Solar batteries,
The single order differential differentiate value of (when output voltage is zero) solar cell voltage to electric current under short-circuit conditions,
The single order differential differentiate value of (when output current is zero) solar cell voltage to electric current under open circuit situation,
The second-order differential differentiate value of solar cell voltage to electric current under a certain fixed voltage,
The single order differential differentiate value of solar cell voltage to electric current under top fixed voltage,
Solar cell electric current under top fixed voltage,
It is top fixed voltage.
by above (1), (2), (3), (4), (5) 5 Closure equation groups, we are according to volt-ampere characteristic and numerical differentiation feature thereof under the solar cell illumination of measuring, can obtain the solar cell short-circuit current, solar batteries, the single order differential differentiate value of solar cell voltage to electric current under short-circuit conditions, the single order differential differentiate value of solar cell voltage to electric current under open circuit situation, the second-order differential differentiate value of solar cell voltage to electric current under a certain fixed voltage, the single order differential differentiate value of solar cell voltage to electric current under same fixed voltage, and solar cell electric current under top fixed voltage, parse the solar cell photogenerated current, reverse saturation current, ideal factor, 5 electrical parameters of parallel resistance and resistance in series, and obtain computing time.5 parameter substitution solar cell electric current output equations of the solar cell that extracts, the volt-ampere characteristic under overall match illumination obtains error of fitting.
Method of the present invention and traditional solar cell parameter extracting method relatively have following characteristics: 1, at the solar cell photogenerated current much larger than reverse saturation current, the solar cell parallel resistance is approximately equal under 3 boundary conditions of negative short-circuit current much larger than resistance in series and solar cell photogenerated current, the single order differential differentiate equation of abbreviation solar cell electric current output equation and second-order differential differentiate equation; 2, the method has speed and the higher characteristics of precision.
The present invention provides an effective approach for present solar cell parameter extraction.
Description of drawings
Fig. 1 measures and match solar cell volt-ampere characteristics of figure under 342 lux illumination.
Embodiment
The present invention is a kind of method that only relies on wall scroll volt-ampere characteristic match extraction solar cell parameter under illumination.
As an example, we utilize wall scroll volt-ampere characteristic under the method measurement and the illumination of match solar cell.Test and fitting result are as shown in Figure 1; Fig. 1 is volt-ampere characteristics of figure under measurement of the present invention and the illumination of match solar cell.Concrete operations are that the method for at first utilizing common making alive to survey electric current is measured the dark volt-ampere characteristic of solar cell, and obtains the numerical differentiation feature; Secondly, sharp contents extraction solar cell parameter of the present invention; At last, adopt volt-ampere characteristic under the illumination of solar cell electric current output equation match solar cell.Measure and fitting result from Fig. 1, can find out identical fine.The solar cell photogenerated current that extracts is
Ampere, reverse saturation current is
Ampere, ideal factor is 0.842, and parallel resistance is 75187 ohm, and resistance in series is 10.163 ohm.Error is 2.34%, and be 0.179 second computing time.Can find out that from error of fitting error is very little, 5 parameters precisions that namely extract are higher; Can find out that from computing time the time is very short, the speed of namely extracting 5 parameters is very fast.
Above example illustrates that the solar cell parameter extracting method that we propose is correct.The method will obtain certain popularization in the middle of the research of present solar cell parameter extraction technology.
The above; only be the embodiment in the present invention, but protection scope of the present invention is not limited to this, anyly is familiar with the people of this technology in the disclosed technical scope of the present invention; the conversion that can expect easily or replacement, all should be encompassed in of the present invention comprise scope within.Therefore, protection scope of the present invention should be as the criterion with the protection domain of claims.
Claims (3)
1. the analytic method of a new extraction solar cell parameter, is characterized in that, comprises the steps:
(1) utilize the solar cell photogenerated current much larger than reverse saturation current, the solar cell parallel resistance is approximately equal to 3 boundary conditions of negative short-circuit current much larger than resistance in series and solar cell photogenerated current, the single order differential differentiate equation of abbreviation solar cell electric current output equation and second-order differential differentiate equation;
(2) set up 5 sealing Algebraic Equation set, comprise solar cell electric current output equation under short-circuit conditions, solar cell electric current output equation under open circuit situation, the single order differential differentiate equation of solar cell electric current output equation under short-circuit conditions, the single order differential differentiate equation of solar cell electric current output equation under open circuit situation, and the second-order differential differentiate equation of the solar cell electric current output equation under free voltage;
(3) according to the solar cell volt-ampere characteristic of measuring under illumination, adopt above-mentioned system of equations to resolve and extract the solar cell photogenerated current, reverse saturation current, ideal factor, 5 electrical parameters of parallel resistance and resistance in series, and obtain computing time;
With above-mentioned 5 electrical parameter substitution solar cell electric current output equations, the volt-ampere characteristic under overall match illumination obtains error of fitting.
2. the analytic method of a kind of new extraction solar cell parameter claimed in claim 1, it is characterized in that, in step (1), in the single order differential differentiate equation of abbreviation solar cell electric current output equation and second-order differential differentiate equation process, utilized the solar cell photogenerated current much larger than reverse saturation current, the solar cell parallel resistance is approximately equal to 3 boundary conditions of negative short-circuit current much larger than resistance in series and solar cell photogenerated current.
3. the analytic method of a kind of new extraction solar cell parameter claimed in claim 1, is characterized in that, in step (2), 5 sealing Algebraic Equation set comprise the second-order differential differentiate equation of the solar cell electric current output equation under free voltage.
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Cited By (4)
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CN103364704A (en) * | 2013-06-26 | 2013-10-23 | 常州天合光能有限公司 | Method for predicting open-circuit voltages of polycrystalline silicon chips |
CN103942438A (en) * | 2014-04-24 | 2014-07-23 | 河海大学常州校区 | Parameter extraction method of silicon cell photovoltaic assembly five-parameter model |
CN108509736A (en) * | 2018-04-09 | 2018-09-07 | 中国计量大学 | A kind of photovoltaic module parameter extracting method for fault diagnosis |
CN111259320A (en) * | 2020-01-14 | 2020-06-09 | 武汉轻工大学 | Calculation method, device and equipment for equation set derivation and storage medium |
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Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
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CN103364704A (en) * | 2013-06-26 | 2013-10-23 | 常州天合光能有限公司 | Method for predicting open-circuit voltages of polycrystalline silicon chips |
CN103364704B (en) * | 2013-06-26 | 2015-10-28 | 常州天合光能有限公司 | A kind of Forecasting Methodology of polysilicon chip open circuit voltage |
CN103942438A (en) * | 2014-04-24 | 2014-07-23 | 河海大学常州校区 | Parameter extraction method of silicon cell photovoltaic assembly five-parameter model |
CN108509736A (en) * | 2018-04-09 | 2018-09-07 | 中国计量大学 | A kind of photovoltaic module parameter extracting method for fault diagnosis |
CN108509736B (en) * | 2018-04-09 | 2021-11-23 | 中国计量大学 | Photovoltaic module parameter extraction method for fault diagnosis |
CN111259320A (en) * | 2020-01-14 | 2020-06-09 | 武汉轻工大学 | Calculation method, device and equipment for equation set derivation and storage medium |
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