CN104239650B - One kind extracts solar cell parametric technique based on equation clear - Google Patents
One kind extracts solar cell parametric technique based on equation clear Download PDFInfo
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Abstract
One kind extracts solar cell parametric technique based on equation clear, it is first depending on short circuit current flow point, open-circuit voltage point and Lambertw functions, the parameter electric current output equation of abbreviation solar cell 5 is the electric current output Lambertw equations clear only containing ideal factor, 3 parameters of parallel resistance and series resistance, and obtains photogenerated current and reverse saturation current analytical expression；Using solar cell photogenerated current much larger than 3 boundary conditions such as reverse saturation currents, simplify the first differential derivation equation of 5 parameter electric current output equations；Secondly experimental data of the solar cell at short dot slope and maximum power point is combined, ideal factor, parallel resistance and series impedance is solved；Above-mentioned 3 parameter values are finally substituted into photogenerated current and reverse saturation current analytical expression, photogenerated current and reverse saturation current value is obtained.The solution have the advantages that：By solar cell wall scroll VA characteristic curve under illumination, can degree of precision 5 electrical parameters of extraction solar cell.
Description
Technical field
The present invention relates to the extractive technique field of solar cell parameter, and in particular to one kind extracts the sun based on equation clear
Battery photogenerated current, reverse saturation current, ideal factor, 5 electrical parameter methods of parallel resistance and series resistance, this method can
For energy technology field.
Background technology
Solar cell parameter (referring to photogenerated current, reverse saturation current, ideal factor, parallel resistance and series resistance) is shadow
Ring the key factor of solar cell power characteristic, it is how simple and to be accurately determined these parameters be solar cell research process
In an important step.In order to solve this problem, it has been proposed that carrying out various solar cell the parameter extracting method [(# such as Liu Feng
Light, 2010.21 (8):1181), (Wang Yuling etc., Acta Physica Sinica, 2012.61 (24):248402), (Xiao Wenbo etc., photoelectron #
Laser, 2012.23 (9):1681), (Chunfu Zhang et al., Journal of applied physics,
2011.110：064504)].The target that all methods are pursued is high-precision extraction solar cell parameter.
So, here, it is proposed that a kind of extract solar cell parametric technique based on equation clear, this method be first according to
According to short circuit current flow point, open-circuit voltage point and Lambertw functions, the parameter electric current output equation of abbreviation solar cell 5 is only containing reason
Think the electric current output Lambertw equations clear of the factor, 3 parameters of parallel resistance and series resistance, and obtain photogenerated current and anti-
To saturation current analytical expression；Then, it is in parallel much larger than reverse saturation current, solar cell using solar cell photogenerated current
Resistance is approximately equal to 3 boundary conditions of short circuit current flow much larger than series resistance and solar cell photogenerated current, simplifies sun electricity
The first differential derivation equation of the parameter electric current output equation of pond 5；Secondly, with reference to combine solar cell in a short-circuit situation slope with
And at maximum power point electric current and voltage experimental data, set up and solve solar cell ideal factor, parallel resistance and series electrical
The closing Algebraic Equation set of 3 electrical parameters is hindered, so as to solve ideal factor, parallel resistance and series impedance；Finally, will
Above-mentioned 3 electrical parameter values substitute into photogenerated current and reverse saturation current analytical expression, obtain photogenerated current and reverse saturation
Current value.Above-mentioned 5 electrical parameter values are substituted into the parameter electric current output equation of solar cell 5, the volt-ampere under overall situation fitting illumination
Characteristic curve, obtains electric current root-mean-square error.
The content of the invention
Solar cell parametric technique is extracted based on equation clear it is an object of the invention to provide one kind, it is relied under illumination too
Positive electricity pond wall scroll VA characteristic curve, realizes the extraction solar cell parameter of degree of precision.
The present invention is achieved by the following technical solutions, it is characterised in that method and step is：
(1) according to short circuit current flow point, open-circuit voltage point and Lambertw functions, the parameter electric current of abbreviation solar cell 5 is defeated
It is the electric current output Lambertw equations clear only containing ideal factor, 3 parameters of parallel resistance and series resistance to go out equation, and is obtained
Obtain photogenerated current and reverse saturation current analytical expression；
(2) it is much larger than series connection much larger than reverse saturation current, solar cell parallel resistance using solar cell photogenerated current
Resistance and solar cell photogenerated current are approximately equal to 3 boundary conditions of short circuit current flow, simplify the output of the parameter electric current of solar cell 5
The first differential derivation equation of equation；
(3) combine solar cell in a short-circuit situation at slope and maximum power point electric current and voltage experimental data,
Set up and solve solar cell ideal factor, the closing Algebraic Equation set of 3 electrical parameters of parallel resistance and series resistance, so as to ask
Solve ideal factor, parallel resistance and series impedance；
(4) above-mentioned 3 electrical parameter values are substituted into photogenerated current and reverse saturation current analytical expression, obtains photoproduction electricity
Stream and reverse saturation current value；
(5) above-mentioned 5 electrical parameter values are substituted into the parameter electric current output equation of solar cell 5, under overall situation fitting illumination
VA characteristic curve, obtains electric current root-mean-square error.
In the step (1), set up during 3 parameter solar cell electric currents output equation clear, make use of short circuit current flow
Point, open-circuit voltage point and Lambertw functions.
In the step (2), the first differential derivation equation abbreviation of the parameter electric current output equation of solar cell 5 is to utilize
Solar cell photogenerated current is much larger than series resistance and solar cell much larger than reverse saturation current, solar cell parallel resistance
Photogenerated current is approximately equal to 3 boundary conditions of short circuit current flow.
In the step (3), with reference to the reality of solar cell slope and maximum power point electric current and voltage in a short-circuit situation
Data are tested, sets up and solves solar cell ideal factor, the closing algebraic equation of 3 electrical parameters of parallel resistance and series resistance
Group, solves ideal factor, parallel resistance and series impedance.
In the step (4), obtained ideal factor, parallel resistance and series impedance are updated to photogenerated current and anti-
To saturation current analytical expression, photogenerated current and reverse saturation current value are obtained.
The present invention solar cell electric current output equation be：
According to short circuit current flow point, open-circuit voltage and Lambertw functions, 3 parameter electric currents output Lambertw can be obtained clear
Equation, reverse saturation current and photogenerated current expression formula are：
Series resistance is much larger than much larger than reverse saturation current, solar cell parallel resistance according to solar cell photogenerated current
And solar cell photogenerated current is approximately equal to 3 boundary conditions of short circuit current flow, the parameter electric current of solar cell 5 in a short-circuit situation
The first differential derivation equation of output equation is：
Series resistance is much larger than much larger than reverse saturation current, solar cell parallel resistance according to solar cell photogenerated current
And solar cell photogenerated current is approximately equal to the parameter of solar cell 5 at 3 boundary conditions of short circuit current flow, maximum power point extreme value
The first differential derivation equation of electric current output equation is：
3 parameter electric currents export Lambertw equations clear at maximum power point extreme value：
In above formula, I is cell output current, IphFor photogenerated current, I0For reverse saturation current, V exports for battery
Voltage, RsFor series resistance, n is ideal factor, VthFor thermal voltage constant, RshFor parallel resistance .IscFor solar cell short circuit electricity
Stream, VocFor solar batteries；For solar cell voltage verses current (when output voltage is zero) under short-circuit conditions
First differential derivation value (i.e. slope under short-circuit conditions)；VmFor the voltage at solar cell maximum power point, ImFor solar cell
Electric current at maximum power point
(5), (6), (7) 3 Closure equation groups more than, we are bent according to C-V characteristic under the solar cell illumination of measurement
Line and its numerical differentiation feature, can obtain first differential derivation value, the sun electricity of solar cell voltage verses current under short-circuit conditions
Pond short circuit current flow, solar batteries, the voltage at solar cell maximum power point, at solar cell maximum power point
Electric current, parses solar cell ideal factor, 3 electrical parameter values of parallel resistance and series resistance.The result drawn is substituted into
In formula (3) and (4), solar cell photogenerated current and reverse saturation current value are obtained.5 parameters of the solar cell extracted
The parameter electric current output equation of solar cell 5 is substituted into, the solar cell VA characteristic curve under overall situation fitting illumination obtains electric current equal
Square error.
The method of the present invention is compared with traditional solar cell parameter extracting method following characteristics：1st, using according to short circuit
Current point, open-circuit voltage and Lambertw functions, are reduced to 3 parameter electric currents defeated by the parameter electric current output equation of solar cell 5
Go out Lambertw equations clear；2nd, reverse saturation current, solar cell parallel resistance are much larger than using solar cell photogenerated current
3 boundary conditions of short circuit current flow are approximately equal to much larger than series resistance and solar cell photogenerated current, by the parameter of solar cell 5
First differential derivation equation (i.e. slope) abbreviation of electric current output equation；3rd, this method has the characteristics of precision is higher.
It is current solar cell ginseng the invention provides a kind of method that 5 parameters of battery are extracted while degree of precision
Number, which is extracted, provides an effective approach.
Brief description of the drawings
Fig. 1 is measurement and is fitted many body solar cell volt-ampere characteristics of figure.
Embodiment
The present invention is a kind of method for only relying on solar cell wall scroll VA characteristic curve extraction battery parameter under illumination.
As an example, we are measured and are fitted wall scroll C-V characteristic under solar cell illumination using this method.Test
It is as shown in Figure 1 with fitting result；Fig. 1 is volt-ampere characteristics of figure under present invention measurement and fitting solar cell illumination.Concrete operations are,
VA characteristic curve under the method measurement solar cell illumination of electric current is surveyed first with common making alive, and obtains numerical differentiation
Feature；Secondly, sharp present invention extracts solar cell parameter；Finally, it is fitted using the parameter electric current output equation of solar cell 5
VA characteristic curve under solar cell illumination.From Fig. 1 measurements and fitting result, it can be seen that coincide fine.The sun extracted
Battery photogenerated current is 1.0321 amperes, and reverse saturation current is 1.9335 × 10-6 amperes, and ideal factor is 46.5424, and
It is 554.8327 ohm to join resistance, and series resistance is 1.3424 ohm.Electric current root-mean-square error is 0.0073 ampere.From root mean square
Error can be seen that error very little, that is, 5 parameters precisions extracted are higher.
Above example illustrate it is proposed that solar cell parameter extracting method be correct.This method will be at present too
Certain popularization is obtained among the research of positive electricity pond parameter extraction technology.
It is described above, it is only the embodiment in the present invention, but protection scope of the present invention is not limited thereto, and appoints
What be familiar with the people of the technology disclosed herein technical scope in, the conversion or replacement that can be readily occurred in should all be covered
Within the scope of the present invention.Therefore, protection scope of the present invention should be defined by the protection domain of claims.
Claims (1)
1. one kind extracts solar cell parametric technique based on equation clear, it is characterised in that comprise the following steps：
(1) according to short circuit current flow point, open-circuit voltage point and Lambertw functions, the parameter electric current output side of abbreviation solar cell 5
Journey is the electric current output Lambertw equations clear only containing ideal factor, 3 parameters of parallel resistance and series resistance, and obtains light
Raw electric current and reverse saturation current analytical expression；Lambertw equations clear, photogenerated current and reverse saturation current resolution table
It is respectively up to formula：
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In above formula, I is cell output current, IphFor photogenerated current, I0For reverse saturation current, V is cell output voltage,
RsFor series resistance, n is ideal factor, VthFor thermal voltage constant, RshFor parallel resistance；IscFor solar cell short circuit current flow, V∝
For solar batteries；For the first differential derivation value of solar cell voltage verses current under short-circuit conditions；VmFor
Voltage at solar cell maximum power point, ImFor the electric current at solar cell maximum power point；
(3) above-mentioned 3 electrical parameter values are substituted into photogenerated current and reverse saturation current analytical expression, obtain photogenerated current and
Reverse saturation current value；
(4) above-mentioned 5 electrical parameter values are substituted into the parameter electric current output equation of solar cell 5, the volt-ampere under overall situation fitting illumination
Characteristic curve, obtains electric current root-mean-square error.
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