CN104237805A - Method for extracting solar cell parameters based on analytic equation - Google Patents
Method for extracting solar cell parameters based on analytic equation Download PDFInfo
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- CN104237805A CN104237805A CN201410526836.5A CN201410526836A CN104237805A CN 104237805 A CN104237805 A CN 104237805A CN 201410526836 A CN201410526836 A CN 201410526836A CN 104237805 A CN104237805 A CN 104237805A
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Abstract
The invention discloses a method for extracting solar cell parameters based on an analytic equation. The method includes: firstly, simplifying a five-parameter current output equation of a solar cell to a current output analytic equation including an ideal factor, parallel resistance and series resistance according to solar cell short-circuit and open-circuit points, and acquiring a photo-generated current and reverse saturation current analytical expression; secondly, simplifying a first-order differential derivation equation of the five-parameter current output equation by making use the fact that photo-generated current of the solar cell is far larger than three boundary conditions such as reverse saturation current; thirdly, solving three parameter values of the ideal factor, parallel resistance and series resistance by combining experimental data of the solar cell at the short-circuit, open-circuit and maximum power points; finally, substituting the three parameter values into the photo-generated current and reverse saturation current analytical expression to obtain photo-generated current and reverse saturation current values. The method has the technical advantage that the five parameters of the solar cell can be extracted highly precisely through a single volt-ampere characteristic curve of the solar cell 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 based on analytic equation extraction solar cell photogenerated current, reverse saturation current, ideal factor, parallel resistance and resistance in series 5 electrical parameter methods, the method can be used for energy technology field.
Background technology
Solar cell 5 parameter model (comprising: photogenerated current, reverse saturation current, ideal factor, parallel resistance and resistance in series 5 electrical parameters), has taken into account simplicity and accuracy, has been widely used; But the feature of this model is that non-linear solution multiparameter difficulty is large.A lot of scholar proposes various method and solves this problem [(Gao Jinhui etc., protecting electrical power system and control, 2012.40(9): 131) for this reason; (Liu Feng etc.; photoelectron # laser, 2010.21 (8): 1181), (Xiao Wenbo etc.; photoelectron # laser; 2013.24 (10): 1889), (Peng, Lele et al.; Journal of Power Sources, 2013.227:131)].The target that all methods are pursued is high-precision extraction solar cell 5 electrical parameters.
So, at this, we propose a kind of method extracting solar cell parameter based on analytic equation, the method is first according to solar cell short-circuit current point and open-circuit voltage point, solar cell 5 parameter electric current output equation is reduced to only containing ideal factor, parallel resistance and resistance in series 3 parameter electric current export analytic equation, and obtain photogenerated current and reverse saturation current analytical expression; Then, solar cell photogenerated current is utilized to be approximately equal to short-circuit current 3 boundary conditions much larger than reverse saturation current, solar cell parallel resistance much larger than resistance in series and solar cell photogenerated current, by the first differential differentiate equation abbreviation of solar cell 5 parameter electric current output equation; Secondly, in conjunction with the experimental data of slope and maximum power point electric current and voltage under solar cell in a short-circuit situation slope, open circuit situation, set up the closed Algebraic Equation set solving solar cell ideal factor, parallel resistance and resistance in series 3 electrical parameters, thus solve ideal factor, parallel resistance and series impedance; Finally, above-mentioned 3 electrical parameter values are substituted into photogenerated current and reverse saturation current analytical expression, obtains photogenerated current and reverse saturation current value.5 of above-mentioned acquisition electrical parameters are substituted into solar cell 5 parameter electric current output equation, the volt-ampere characteristic under overall matching illumination, obtains electric current root-mean-square error.
Summary of the invention
The object of this invention is to provide a kind of method extracting solar cell parameter based on analytic equation, solar cell wall scroll volt-ampere characteristic under its dependence illumination, realizes extraction solar cell 5 electrical parameters of degree of precision.
The present invention is achieved by the following technical solutions, and a kind of method extracting solar cell parameter based on analytic equation, is characterized in that method step is:
(1) according to short-circuit current point and open-circuit voltage point, be only export analytic equation containing 3 parameter electric currents of ideal factor, parallel resistance and resistance in series by solar cell 5 parameter electric current output equation abbreviation, and obtain photogenerated current and reverse saturation current analytical expression;
(2) solar cell photogenerated current is utilized to be approximately equal to short-circuit current 3 boundary conditions much larger than reverse saturation current, solar cell parallel resistance much larger than resistance in series and solar cell photogenerated current, by the first differential differentiate equation abbreviation of solar cell 5 parameter electric current output equation;
(3) in conjunction with the experimental data of slope and maximum power point electric current and voltage under solar cell in a short-circuit situation slope, open circuit situation, set up the closed Algebraic Equation set solving solar cell ideal factor, parallel resistance and resistance in series 3 electrical parameters, thus solve ideal factor, parallel resistance and series impedance;
(4) above-mentioned ideal factor, parallel resistance and series impedance are substituted into photogenerated current and reverse saturation current analytical expression, obtain photogenerated current and reverse saturation current value;
(5) above-mentioned 5 electrical parameters are substituted into solar cell 5 parameter electric current output equation, the volt-ampere characteristic under overall matching illumination, obtains electric current root-mean-square error.
In step of the present invention (1), be short-circuit current value and open-circuit voltage values are updated in solar cell 5 parameter electric current output equation, obtain solar cell 3 parameter electric current and export analytic equation, and obtain photogenerated current and reverse saturation current analytical expression.
In step of the present invention (2), utilize solar cell photogenerated current to be approximately equal to short-circuit current 3 boundary conditions much larger than reverse saturation current, solar cell parallel resistance much larger than resistance in series and solar cell photogenerated current, by the first differential differentiate equation abbreviation of solar cell 5 parameter electric current output equation.
In step of the present invention (3), utilize the solar cell experimental data of slope and maximum power point electric current and voltage under slope, open circuit situation in a short-circuit situation, set up the closed Algebraic Equation set solving solar cell ideal factor, parallel resistance and resistance in series 3 electrical parameters, thus solve ideal factor, parallel resistance and series impedance.
In step of the present invention (4), be that the ideal factor, parallel resistance and the series impedance that obtain in step (3) are substituted into photogenerated current and reverse saturation current analytical expression, obtain photogenerated current and reverse saturation current value.
In step of the present invention (5), be that above-mentioned 5 electrical parameters are substituted into solar cell 5 parameter electric current output equation, the solar cell volt-ampere characteristic under overall matching illumination, obtains electric current root-mean-square error.
Solar cell 5 parameter electric current output equation of the present invention is:
(1)
According to short-circuit current point and open-circuit voltage point, solar cell 5 parameter electric current output equation is reduced to solar cell 3 parameter electric current and exports analytic equation, and obtain photogenerated current and reverse saturation current analytical expression; Be respectively:
(2)
(3)
(4)
Utilize solar cell photogenerated current to be approximately equal to short-circuit current 3 boundary conditions much larger than reverse saturation current, solar cell parallel resistance much larger than resistance in series and solar cell photogenerated current, the first differential differentiate equation of solar cell 5 parameter electric current output equation is in a short-circuit situation:
(5)
Utilize solar cell photogenerated current to be approximately equal to short-circuit current 3 boundary conditions much larger than reverse saturation current, solar cell parallel resistance much larger than resistance in series and solar cell photogenerated current, the first differential differentiate equation of solar cell 5 parameter electric current output equation is in the case of an open circuit:
(6)
Solar cell is substituted into solar cell 3 parameter electric current in maximum power point place current/voltage value and exports analytic equation, can obtain:
(7)
In above formula,
ifor cell output current,
i ph for photogenerated current,
i 0 for reverse saturation current,
vfor cell output voltage,
r s for resistance in series,
nfor ideal factor,
v th for thermal voltage constant,
r sh for parallel resistance.
for solar cell short-circuit current,
for solar batteries;
for the first differential differentiate value (under short-circuit conditions slope) of (when output voltage is zero) solar cell voltage verses current under short-circuit conditions;
for the first differential differentiate value (under open circuit situation slope) of (when output current is zero) voltage verses current under open circuit situation;
for the voltage at solar cell maximum power point place,
for the electric current at solar cell maximum power point place.
By above (5), (6), (7) 3 Closure equation groups, we are according to volt-ampere characteristic and numerical differentiation feature thereof under the solar cell illumination of measuring, first differential differentiate value, solar cell short-circuit current, solar batteries, the voltage at solar cell maximum power point place, the electric current at solar cell maximum power point place of solar cell voltage verses current under the first differential differentiate value of solar cell voltage verses current under short-circuit conditions, open circuit situation can be obtained, parse solar cell ideal factor, parallel resistance and resistance in series 3 electrical parameter values.The result drawn is substituted in formula (3) and (4), obtains solar cell photogenerated current and reverse saturation current value.The solar cell extracted 5 parameters are substituted into solar cell 5 parameter electric current output equation, and the solar cell volt-ampere characteristic under overall matching illumination, obtains electric current root-mean-square error.
Method of the present invention compares with traditional solar cell parameter extracting method following characteristics: 1, according to short-circuit current point and open-circuit voltage point, is only to export analytic equation containing 3 parameter electric currents of ideal factor, parallel resistance and resistance in series by solar cell 5 parameter electric current output equation abbreviation; 2, utilize solar cell photogenerated current much larger than reverse saturation current, solar cell parallel resistance is approximately equal to short-circuit current 3 boundary conditions much larger than resistance in series and solar cell photogenerated current, by first differential differentiate equation (the i.e. slope equation) abbreviation of solar cell 5 parameter electric current output equation; 3, the method has the higher feature of precision.
The method of solar cell 5 electrical parameters is extracted, for current solar cell parameter extraction provides an effective approach while the invention provides a kind of degree of precision.
Accompanying drawing explanation
Fig. 1 is measurement of the present invention and matching single solar cell volt-ampere characteristics of figure.
Embodiment
The present invention is a kind of method that under only dependence illumination, solar cell wall scroll volt-ampere characteristic extracts battery parameter.
As an example, we utilize the method to measure and wall scroll volt-ampere characteristic under the illumination of matching solar cell.Measurement 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 matching solar cell.Concrete operations are, the method first utilizing common making alive to survey electric current measures volt-ampere characteristic under solar cell illumination, and obtains numerical differentiation feature; Secondly, sharp contents extraction solar cell parameter of the present invention; Finally, volt-ampere characteristic under the illumination of employing solar cell 5 parameter electric current output equation matching solar cell.Measure and fitting result from Fig. 1, can find out and coincide very well.The solar cell photogenerated current extracted is 0.7617 ampere, and reverse saturation current is 3.2090 × 10
-7ampere, ideal factor is 1.4832, and parallel resistance is 53.7118 ohm, and resistance in series is 0.0364 ohm.Electric current root-mean-square error is 0.0018 ampere.Can find out that error is very little from electric current root-mean-square error, 5 the electrical parameter precision namely extracted are higher.
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 current solar cell parameter extraction technology.
The above; be only the embodiment in the present invention, but protection scope of the present invention is not limited thereto, any people being familiar with this technology is in the technical scope disclosed by the present invention; the conversion that can expect easily or replacement, all should be encompassed in of the present invention comprising within scope.Therefore, protection scope of the present invention should be as the criterion with the protection domain of claims.
Claims (4)
1. extract a method for solar cell parameter based on analytic equation, it is characterized in that method step is as follows:
(1) according to short-circuit current point and open-circuit voltage point, solar cell 5 parameter electric current output equation is reduced to and only exports analytic equation containing 3 parameter electric currents of ideal factor, parallel resistance and resistance in series, and obtain photogenerated current and reverse saturation current analytical expression;
(2) solar cell photogenerated current is utilized to be approximately equal to short-circuit current 3 boundary conditions much larger than reverse saturation current, solar cell parallel resistance much larger than resistance in series and solar cell photogenerated current, by the first differential differentiate equation abbreviation of solar cell 5 parameter electric current output equation;
(3) in conjunction with the experimental data of slope and maximum power point electric current and voltage under solar cell in a short-circuit situation slope, open circuit situation, set up the closed Algebraic Equation set solving solar cell ideal factor, parallel resistance and resistance in series 3 electrical parameters, thus solve ideal factor, parallel resistance and series impedance;
(4) above-mentioned ideal factor, parallel resistance and series impedance are substituted into photogenerated current and reverse saturation current analytical expression, obtain photogenerated current and reverse saturation current value;
(5) above-mentioned 5 electrical parameters are substituted into solar cell 5 parameter electric current output equation, the volt-ampere characteristic under overall matching illumination, obtains electric current root-mean-square error.
2. one according to claim 1 extracts solar cell parametric technique based on analytic equation, it is characterized in that, in described step (1), utilizes short-circuit current point and open-circuit voltage point, and abbreviation 5 parameter electric current output equation is that 3 parameter electric currents export analytic equation.
3. one according to claim 1 extracts solar cell parametric technique based on analytic equation, it is characterized in that, in described step (2), photogenerated current is utilized to be approximately equal to short-circuit current 3 boundary conditions much larger than reverse saturation current, solar cell parallel resistance much larger than resistance in series and solar cell photogenerated current, by the first differential differentiate equation abbreviation of 5 parameter electric current output equations.
4. one according to claim 1 extracts solar cell parametric technique based on analytic equation, it is characterized in that: in described step (3), in conjunction with the experimental data of slope and maximum power point electric current and voltage under solar cell in a short-circuit situation slope, open circuit situation, set up the closed Algebraic Equation set solving and set up and solve solar cell ideal factor, parallel resistance and resistance in series 3 electrical parameters.
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| CN108280287A (en) * | 2018-01-20 | 2018-07-13 | 长安大学 | A kind of method of solar cell parameter extraction |
| CN108763645A (en) * | 2018-04-24 | 2018-11-06 | 南京信息职业技术学院 | Model parameter solving algorithm of photovoltaic module 5 parameter model |
| CN108804774A (en) * | 2018-05-22 | 2018-11-13 | 河海大学常州校区 | A method of based on electrochemical impedance spectroscopy test analysis solar cell ideal factor |
| CN111898077A (en) * | 2020-06-30 | 2020-11-06 | 中电科仪器仪表(安徽)有限公司 | Method for obtaining resistance value of parallel resistor of solar cell |
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Application publication date: 20141224 |