CN108880469A - A kind of method of solar battery parameter extraction - Google Patents
A kind of method of solar battery parameter extraction Download PDFInfo
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- CN108880469A CN108880469A CN201810359475.8A CN201810359475A CN108880469A CN 108880469 A CN108880469 A CN 108880469A CN 201810359475 A CN201810359475 A CN 201810359475A CN 108880469 A CN108880469 A CN 108880469A
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- 238000000034 method Methods 0.000 title claims abstract description 19
- 238000000605 extraction Methods 0.000 title abstract description 4
- 239000000284 extract Substances 0.000 claims abstract description 5
- 239000004065 semiconductor Substances 0.000 claims abstract description 5
- 238000004364 calculation method Methods 0.000 claims description 7
- 239000004576 sand Substances 0.000 claims description 7
- 230000008030 elimination Effects 0.000 claims description 4
- 238000003379 elimination reaction Methods 0.000 claims description 4
- 230000004069 differentiation Effects 0.000 claims description 3
- WCUXLLCKKVVCTQ-UHFFFAOYSA-M Potassium chloride Chemical compound [Cl-].[K+] WCUXLLCKKVVCTQ-UHFFFAOYSA-M 0.000 abstract 1
- XUIMIQQOPSSXEZ-UHFFFAOYSA-N Silicon Chemical compound [Si] XUIMIQQOPSSXEZ-UHFFFAOYSA-N 0.000 description 3
- 238000005286 illumination Methods 0.000 description 3
- 229910052710 silicon Inorganic materials 0.000 description 3
- 239000010703 silicon Substances 0.000 description 3
- 238000011156 evaluation Methods 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 238000010248 power generation Methods 0.000 description 2
- 238000012545 processing Methods 0.000 description 2
- 238000011160 research Methods 0.000 description 2
- 230000007547 defect Effects 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000003912 environmental pollution Methods 0.000 description 1
- 239000002803 fossil fuel Substances 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
Classifications
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02S—GENERATION OF ELECTRIC POWER BY CONVERSION OF INFRARED RADIATION, VISIBLE LIGHT OR ULTRAVIOLET LIGHT, e.g. USING PHOTOVOLTAIC [PV] MODULES
- H02S50/00—Monitoring or testing of PV systems, e.g. load balancing or fault identification
- H02S50/10—Testing of PV devices, e.g. of PV modules or single PV cells
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/50—Photovoltaic [PV] energy
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Abstract
The present invention provides a kind of methods of solar battery parameter extraction, comprise the steps of:1) the current-voltage characteristic equation of ideal single diode solar battery equivalent circuit is obtained according to Kirchhoff's current law (KCL), establishes solar battery list diode model;2) I~V curve of solar battery is measured using semi-conductor test instrument, and I~V curve in single diode model is combined to obtain parameter open-circuit voltage Voc, short circuit current IscTo extract unknown parameter parallel resistance Rsh;3) by introducing provisional parameter Rso、noAnd it carries out successive ignition and calculates to determine unknown parameter series resistance Rs, ideal factor n;4) it is brought into formula deformation by above-mentioned acquired parameter value and seeks unknown parameter photoelectric current Iph, reverse saturation current I0。
Description
Technical Field
The invention belongs to the technical field of solar cell evaluation, and particularly relates to a method for extracting solar cell parameters.
Background
Due to the increasing severity of environmental pollution and the increasing exhaustion of fossil fuels, the research on renewable energy sources is becoming a focus of attention in various countries. Solar energy is called as internationally recognized rational alternative energy due to the advantages of abundant resources, cleanness, no pollution and the like. The core of the photovoltaic power generation system is called as a hot spot of research of scholars at home and abroad. Photovoltaic cells are the core of photovoltaic power generation systems. The appropriate photovoltaic cell model is of great significance to the design and manufacture of photovoltaic testers, and the evaluation of battery systems. However, the existing algorithm has the defect that the parallel resistor RshIt is generally ignored and the use of the "different illumination level method" also makes the extraction parameters erroneous, so that it is necessary to develop a widely applicable method for determining all the parameters of a single IV curve of a solar cell.
Disclosure of Invention
The invention aims to provide a method for extracting solar cell parameters so as to solve the problems.
In order to achieve the purpose, the invention adopts the following technical scheme:
a method for extracting solar cell parameters comprises the following steps:
obtaining an ideal current-voltage characteristic equation of the equivalent circuit of the single-diode solar cell according to the kirchhoff current law, and establishing a solar cell single-diode model;
step two, measuring an I-V curve of the solar cell by using a semiconductor tester, and obtaining parameters by combining the I-V curve in the single diode model: open circuit voltage VocShort-circuit IscTo extract the unknown parameter of the parallel resistor Rsh;
Step three, introducing a temporary parameter Rso、noAnd carrying out multiple iterative calculations to determine the series resistance R of unknown parameterssAnd an ideality factor n;
step four, substituting the obtained parameter values into formula deformation to obtain unknown parameter photocurrent IphAnd reverse saturation current I0。
Further, in the step one, a single diode model is established by a current-voltage characteristic equation of the ideal single diode solar cell equivalent circuit:
wherein: v is a voltage value output by the solar cell in real time and the unit is V; i is the current value output by the solar cell in real time, and the unit is A; i isphThe photo-generated current value of the solar cell is A; i is0Is the reverse saturation current of a diode in the solar cell, and the unit is A; q is an electronic charge; n is an ideal factor of the diode; k is Boltzmann constant; t is the temperature of the solar cell; rsAnd RshRespectively equivalent series resistance and parallel resistance of the solar cell.
Further, the step two of extracting the unknown parameters comprises the following steps:
firstly suppose that
For the differentiation of equation (1) -dV/dI, there are
Let V equal to 0 and I equal to IscAnd dV/dI is applied to the short circuit, then
Let V become VocI is 0, -dV/dI is applied to open circuit, then
Elimination of I by subtracting equation (5) from equation (4)phAnd combining the hypothesis condition (2) to obtain:
combining the formulas (5) and (6) to obtain
Substituting equation (6) into equation (7) and obtaining
Substituting equation (8) into equation (3) yields the following equation
When I is ═ Isc(V ═ 0) to give:
further, in the third step, temporary parameters Rso and n0 are introduced and substituted into the formula (9) to obtain
Wherein,
when delta is less than 1, the formula is obtained
Can makeAboutThe unknown parameters n and Rs are extracted by the slope and the y-axis intercept, and then the loop iteration calculation is continued until Rs is Rs0, n is n0, and | δ | is 0.
Further, the step 4) is obtained by respectively obtaining formulas (6) and (5)
Compared with the prior art, the invention has the following technical effects:
1. the method obtains parameters and extracts an unknown parameter model by obtaining the I-V curve of the solar cell under a certain intensity. AvoidWhen a graphic method is adopted to solve in the traditional method, the parallel resistor R is assumedshThe error is negligible, and the actual error caused by solving is substituted. And in the present invention, inclusion R can be more accurately extractedshAnd determining the parameters of the five solar cells, and determining the IV characteristic equation of the solar cells.
2. The method of constant illumination level is adopted, and the error caused by large temperature difference between two measuring points in the traditional method of different illumination levels is overcome.
Drawings
FIG. 1 is an experimental I-V curve for a silicon solar cell of the present invention;
FIG. 2 isAndasThe function image of (1);
Detailed Description
The invention is further described below with reference to the accompanying drawings:
a method for extracting solar cell parameters comprises the following steps:
obtaining an ideal current-voltage characteristic equation of the equivalent circuit of the single-diode solar cell according to the kirchhoff current law, and establishing a solar cell single-diode model;
step two, measuring the I-V curve of the solar cell by using a semiconductor tester, and combining the I-V curve in the single diode model to obtainObtaining parameters: open circuit voltage VocShort-circuit IscTo extract the unknown parameter of the parallel resistor Rsh;
Step three, introducing a temporary parameter Rso、noAnd carrying out multiple iterative calculations to determine the series resistance R of unknown parameterssAnd an ideality factor n;
step four, substituting the obtained parameter values into formula deformation to obtain unknown parameter photocurrent IphAnd reverse saturation current I0。
In the first step, a single diode model is established by a current-voltage characteristic equation of an ideal single-diode solar cell equivalent circuit:
wherein: v is a voltage value output by the solar cell in real time and the unit is V; i is the current value output by the solar cell in real time, and the unit is A; i isphThe photo-generated current value of the solar cell is A; i is0Is the reverse saturation current of a diode in the solar cell, and the unit is A; q is an electronic charge; n is an ideal factor of the diode; k is Boltzmann constant; t is the temperature of the solar cell; rsAnd RshRespectively equivalent series resistance and parallel resistance of the solar cell.
Extracting unknown parameters in the second step, comprising the following steps:
firstly suppose that
For the differentiation of equation (1) -dV/dI, there are
Let V equal to 0 and I equal to IscAnd dV/dI is applied to the short circuit, then
Let V become VocI is 0, -dV/dI is applied to open circuit, then
Elimination of I by subtracting equation (5) from equation (4)phAnd combining the hypothesis condition (2) to obtain:
combining the formulas (5) and (6) to obtain
Substituting equation (6) into equation (7) and obtaining
Substituting equation (8) into equation (3) yields the following equation
When I is ═ Isc(V ═ 0) to give:
in the third step, temporary parameters Rso and n0 are introduced and substituted into the formula (9) to obtain
Wherein,
when delta is less than 1, the formula is obtained
Can makeAboutExtracting unknown parameters n and R from slope and y-axis interceptsThen, the iterative calculation of the loop is continued until Rs=Rs0,n=n0,|δ|=0。
Step four, obtaining the product by the formulas (6) and (5) respectively
Supposing that a certain silicon solar cell is tested, the I-V curve of the silicon solar cell is measured by a semiconductor tester, and I is extractedscAnd Voc。
Obtaining a current-voltage characteristic equation of an ideal single-diode solar cell equivalent circuit according to kirchhoff current law to establish a single-diode model:
the diode model is processed by differential processing and element elimination processing
From equation (16), fig. 1 is obtained, and the parallel resistance R can be extracted from the slope at V ═ 0sh。
By initially supplying R of formula (17)s0,n0Assigning an initial value of 0 to makeAsThe ideal factor n and the series resistance R can be extracted through the intercept of the slope and the vertical coordinatesAnd performing loop iteration calculation until Rs0=Rs,n0Fig. 2 is made with n and δ 0.
Obtaining I by the formulas (18) and (19)0,IphThe value is obtained.
The extraction algorithm of the present invention is shown and described above. Various changes and modifications may be made to the invention without departing from the spirit and scope of the invention, and such changes and modifications are intended to be within the scope of the invention as claimed.
Claims (5)
1. A method for extracting solar cell parameters is characterized by comprising the following steps:
obtaining an ideal current-voltage characteristic equation of the equivalent circuit of the single-diode solar cell according to the kirchhoff current law, and establishing a solar cell single-diode model;
step two, measuring an I-V curve of the solar cell by using a semiconductor tester, and obtaining parameters by combining the I-V curve in the single diode model: open circuit voltage VocShort-circuit IscTo extract unknown parameters of parallel resistorsRsh;
Step three, introducing a temporary parameter Rso、noAnd carrying out multiple iterative calculations to determine the series resistance R of unknown parameterssAnd an ideality factor n;
step four, substituting the obtained parameter values into formula deformation to obtain unknown parameter photocurrent IphAnd reverse saturation current I0。
2. The method according to claim 1, wherein in the first step, the current-voltage characteristic equation of the ideal single-diode solar cell equivalent circuit establishes a single-diode model:
wherein: v is a voltage value output by the solar cell in real time and the unit is V; i is the current value output by the solar cell in real time, and the unit is A; i isphThe photo-generated current value of the solar cell is A; i is0Is the reverse saturation current of a diode in the solar cell, and the unit is A; q is an electronic charge; n is an ideal factor of the diode; k is Boltzmann constant; t is the temperature of the solar cell; rsAnd RshRespectively equivalent series resistance and parallel resistance of the solar cell.
3. The method for extracting parameters of a solar cell according to claim 1, wherein the step two of extracting unknown parameters comprises the following steps:
firstly suppose that
For the differentiation of equation (1) -dV/dI, there are
Let V equal to 0 and I equal to IscAnd dV/dI is applied to the short circuit, then
Let V become VocI is 0, -dV/dI is applied to open circuit, then
Elimination of I by subtracting equation (5) from equation (4)phAnd combining the hypothesis condition (2) to obtain:
combining the formulas (5) and (6) to obtain
Substituting equation (6) into equation (7) and obtaining
Substituting equation (8) into equation (3) yields the following equation
When I is ═ Isc(V ═ 0) to give:
4. the method of claim 1, comprising the step ofThirdly, introducing a temporary parameter Rso、n0Substituted into formula (9) to obtain
Wherein,
when delta is less than 1, the formula is obtained
Can makeAboutThe unknown parameters n and Rs are extracted by the slope and the y-axis intercept, and then the loop iteration calculation is continued until Rs is Rs0, n is n0, and | δ | is 0.
5. The method for extracting solar cell parameters according to claim 1, wherein the step 4) is obtained by the following equations (6) and (5), respectively
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Cited By (10)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN110086426A (en) * | 2019-04-28 | 2019-08-02 | 西北核技术研究所 | A kind of both ends formula stacking solar cell I-V curve fast acquiring method |
CN110146801A (en) * | 2019-05-13 | 2019-08-20 | 西北核技术研究院 | A kind of solar cell bypass diode parameter lossless detection method |
CN110175380A (en) * | 2019-05-16 | 2019-08-27 | 华东师范大学 | A kind of distributed resistance method for establishing model of solar battery |
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 |
CN112285519A (en) * | 2020-10-26 | 2021-01-29 | 中国科学院上海微系统与信息技术研究所 | Method for measuring series resistance and ideal factor in diode gating array |
CN113033136A (en) * | 2021-02-08 | 2021-06-25 | 山东大学 | Simplified photovoltaic cell physical parameter extraction optimization method and system |
CN114089144A (en) * | 2021-10-08 | 2022-02-25 | 中国电子科技集团公司第十三研究所 | Method and system for measuring diode junction parameters |
CN114491389A (en) * | 2022-01-13 | 2022-05-13 | 南京邮电大学 | Method for extracting and estimating equivalent circuit parameters of solar cell module |
CN114818314A (en) * | 2022-04-22 | 2022-07-29 | 陕西科技大学 | InGaN/GaN multi-quantum well solar cell model parameter extraction method based on dynamic programming |
CN114859228A (en) * | 2022-05-23 | 2022-08-05 | 福建师范大学 | Efficient solar cell real-time diagnosis method based on reliable extraction of equivalent circuit parameters |
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Cited By (14)
Publication number | Priority date | Publication date | Assignee | Title |
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CN110086426A (en) * | 2019-04-28 | 2019-08-02 | 西北核技术研究所 | A kind of both ends formula stacking solar cell I-V curve fast acquiring method |
CN110146801B (en) * | 2019-05-13 | 2021-10-01 | 西北核技术研究院 | Nondestructive testing method for parameters of solar cell bypass diode |
CN110146801A (en) * | 2019-05-13 | 2019-08-20 | 西北核技术研究院 | A kind of solar cell bypass diode parameter lossless detection method |
CN110175380A (en) * | 2019-05-16 | 2019-08-27 | 华东师范大学 | A kind of distributed resistance method for establishing model of solar battery |
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 |
CN112285519A (en) * | 2020-10-26 | 2021-01-29 | 中国科学院上海微系统与信息技术研究所 | Method for measuring series resistance and ideal factor in diode gating array |
CN113033136A (en) * | 2021-02-08 | 2021-06-25 | 山东大学 | Simplified photovoltaic cell physical parameter extraction optimization method and system |
CN113033136B (en) * | 2021-02-08 | 2022-05-31 | 山东大学 | Simplified photovoltaic cell physical parameter extraction optimization method and system |
CN114089144A (en) * | 2021-10-08 | 2022-02-25 | 中国电子科技集团公司第十三研究所 | Method and system for measuring diode junction parameters |
CN114089144B (en) * | 2021-10-08 | 2024-07-23 | 中国电子科技集团公司第十三研究所 | Diode junction parameter measurement method and measurement system |
CN114491389A (en) * | 2022-01-13 | 2022-05-13 | 南京邮电大学 | Method for extracting and estimating equivalent circuit parameters of solar cell module |
CN114491389B (en) * | 2022-01-13 | 2024-07-02 | 南京邮电大学 | Method for extracting and estimating equivalent circuit parameters of solar cell module |
CN114818314A (en) * | 2022-04-22 | 2022-07-29 | 陕西科技大学 | InGaN/GaN multi-quantum well solar cell model parameter extraction method based on dynamic programming |
CN114859228A (en) * | 2022-05-23 | 2022-08-05 | 福建师范大学 | Efficient solar cell real-time diagnosis method based on reliable extraction of equivalent circuit parameters |
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