CN109492244A - Improved photovoltaic battery mathematical model - Google Patents

Improved photovoltaic battery mathematical model Download PDF

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Publication number
CN109492244A
CN109492244A CN201811085025.0A CN201811085025A CN109492244A CN 109492244 A CN109492244 A CN 109492244A CN 201811085025 A CN201811085025 A CN 201811085025A CN 109492244 A CN109492244 A CN 109492244A
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photovoltaic cell
photovoltaic
ref
voltage
illumination
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佟尧
李丹
苏显贺
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Datang Northeast Electric Power Test and Research Institute Co Ltd
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Datang Northeast Electric Power Test and Research Institute Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Photovoltaic Devices (AREA)

Abstract

The present invention relates to a kind of improved photovoltaic battery mathematical models, pass through the improved photovoltaic battery mathematical model, improve the precision of model, the model can be not only used for the modeling and simulating of photovoltaic cell or photovoltaic array under uniform illumination condition, more it is applicable to the modeling and simulating of the photovoltaic array under the conditions of local shades, the intensity of illumination and temperature of its each piece of single battery are arbitrarily adjustable, and applicability is wider.

Description

Improved photovoltaic battery mathematical model
Technical field
The invention belongs to photovoltaic power generation simulation study field more particularly to a kind of improved photovoltaic battery mathematical models.
Background technique
In photovoltaic generating system, in order to improve the voltage and power of photo-voltaic power supply output, photovoltaic cell can be gone here and there Compose in parallel photovoltaic array, area is larger, due to external environment the influence most of the time all in local shades under the conditions of, So as to cause hot spot effect, output power is greatly reduced, it is serious also to cause permanent lesion to photovoltaic cell.For This forms the multi-peak output characteristics of photovoltaic array to the series-parallel diode of photovoltaic array under the conditions of local shades.It is original Engineering photovoltaic battery mathematical model the output characteristics of the photovoltaic cell under uniform illumination condition can only be depicted, can not embody Actual condition, limitation are larger.
Summary of the invention
The object of the present invention is to provide a kind of improved photovoltaic battery mathematical models, to improve model accuracy.
The present invention provides a kind of improved photovoltaic battery mathematical model, the mathematical model is as follows:
Wherein, Uoc.ref、Isc.ref、Um.refAnd Im.ref, respectively in intensity of illumination Sref=1000W/m2, temperature tref=25 Open-circuit voltage, short circuit current, maximum power point voltage and the maximum power point electric current of photovoltaic cell under DEG C standard environment;A is with c The penalty coefficient of electric current and voltage versus temperature, b are penalty coefficient of the voltage to intensity of illumination;
I is that photovoltaic cell exports electric current;ISCFor photovoltaic cell short circuit current;C1、C2For the middle coefficient of setting;U is light Lie prostrate cell output voltage;UOCFor photovoltaic cell open-circuit voltage;RsFor photovoltaic cell equivalent series resistance;RshIt is equivalent for photovoltaic cell Parallel resistance;
Δ U is the proportionality coefficient of photovoltaic cell open-circuit voltage under photovoltaic cell open-circuit voltage and standard environment;T is photovoltaic electric Pond temperature;S is intensity of illumination;Δ I is the ratio system of photovoltaic cell short circuit current under photovoltaic cell short circuit current and standard environment Number;UmFor maximum power of photovoltaic cell point output voltage;ImElectric current is exported for maximum power of photovoltaic cell point.
Further, photovoltaic cell simulation model is built using the mathematical model;Wherein, in photovoltaic cell simulation model Intensity of illumination and temperature are arbitrarily adjustable.
Further, physical structure is built using the photovoltaic cell simulation model, for simulating photovoltaic array;Wherein, light The intensity of illumination and temperature of any single battery are arbitrarily adjustable in photovoltaic array.
According to the above aspect of the present invention, improving the precision of model, which not only may be used by improved photovoltaic battery mathematical model With the modeling and simulating for photovoltaic cell or photovoltaic array under uniform illumination condition, more it is applicable under the conditions of local shades The modeling and simulating of photovoltaic array, the intensity of illumination and temperature of each piece of single battery are arbitrarily adjustable, and applicability is wider.
The above description is only an overview of the technical scheme of the present invention, in order to better understand the technical means of the present invention, And can be implemented in accordance with the contents of the specification, the following is a detailed description of the preferred embodiments of the present invention and the accompanying drawings.
Detailed description of the invention
Fig. 1 is the schematic diagram for the photovoltaic cell simulation model built using the present invention;
Fig. 2 is the schematic diagram that photovoltaic array is simulated using photovoltaic cell simulation model.
Specific embodiment
With reference to the accompanying drawings and examples, specific embodiments of the present invention will be described in further detail.Implement below Example is not intended to limit the scope of the invention for illustrating the present invention.
A kind of improved photovoltaic battery mathematical model is present embodiments provided, the mathematical model is as follows:
Wherein, Uoc.ref、Isc.ref、Um.refAnd Im.ref, respectively in intensity of illumination Sref=1000W/m2, temperature tref=25 Open-circuit voltage, short circuit current, maximum power point voltage and the maximum power point electric current of photovoltaic cell under DEG C standard environment;A is with c The penalty coefficient of electric current and voltage versus temperature, b are penalty coefficient of the voltage to intensity of illumination;
I is that photovoltaic cell exports electric current;ISCFor photovoltaic cell short circuit current;C1、C2For the middle coefficient of setting;U is light Lie prostrate cell output voltage;UOCFor photovoltaic cell open-circuit voltage;RsFor photovoltaic cell equivalent series resistance;RshIt is equivalent for photovoltaic cell Parallel resistance;
Δ U is the proportionality coefficient of photovoltaic cell open-circuit voltage under photovoltaic cell open-circuit voltage and standard environment;T is photovoltaic electric Pond temperature;S is intensity of illumination;Δ I is the ratio system of photovoltaic cell short circuit current under photovoltaic cell short circuit current and standard environment Number;UmFor maximum power of photovoltaic cell point output voltage;ImElectric current is exported for maximum power of photovoltaic cell point.
Join shown in Fig. 1, photovoltaic cell simulation model can be built in Matlab/simlink using the mathematical model;Its In, the intensity of illumination and temperature in photovoltaic cell simulation model are arbitrarily adjustable.
Above-mentioned photovoltaic cell simulation model is encapsulated, carry out series-parallel and diode (building physical structure) is added Emulation photovoltaic array model, 4 × 4 photovoltaic array models (as shown in Figure 2), even the large-sized photovoltaic power supply of photovoltaic plant, often The intensity of illumination and temperature of block photovoltaic cell are still adjustable, analog local shades situation, from carrying out a large amount of theory analysis Building mathematical model is derived, it is more simple and clear, and do not increase required parameter, it is easy to accomplish.
Improved photovoltaic battery mathematical model provided in this embodiment, improves the precision of model, which not only can be with For the modeling and simulating of photovoltaic cell or photovoltaic array under uniform illumination condition, the light being more applicable under the conditions of local shades The modeling and simulating of photovoltaic array, the intensity of illumination and temperature of each piece of single battery are arbitrarily adjustable, and applicability is wider.
The above is only a preferred embodiment of the present invention, it is not intended to restrict the invention, it is noted that for this skill For the those of ordinary skill in art field, without departing from the technical principles of the invention, can also make it is several improvement and Modification, these improvements and modifications also should be regarded as protection scope of the present invention.

Claims (3)

1. a kind of improved photovoltaic battery mathematical model, which is characterized in that the mathematical model is as follows:
Wherein, Uoc.ref、Isc.ref、Um.refAnd Im.ref, respectively in intensity of illumination Sref=1000W/m2, temperature tref=25 DEG C of marks The open-circuit voltage of photovoltaic cell, short circuit current, maximum power point voltage and maximum power point electric current under quasi;A and c is electric current With the penalty coefficient of voltage versus temperature, b is penalty coefficient of the voltage to intensity of illumination;
I is that photovoltaic cell exports electric current;ISCFor photovoltaic cell short circuit current;C1、C2For the middle coefficient of setting;U is photovoltaic cell Output voltage;UOCFor photovoltaic cell open-circuit voltage;RsFor photovoltaic cell equivalent series resistance;RshFor photovoltaic cell equivalent parallel electricity Resistance;
Δ U is the proportionality coefficient of photovoltaic cell open-circuit voltage under photovoltaic cell open-circuit voltage and standard environment;T is photovoltaic cell temperature Degree;S is intensity of illumination;Δ I is the proportionality coefficient of photovoltaic cell short circuit current under photovoltaic cell short circuit current and standard environment;Um For maximum power of photovoltaic cell point output voltage;ImElectric current is exported for maximum power of photovoltaic cell point.
2. improved photovoltaic battery mathematical model according to claim 1, which is characterized in that taken using the mathematical model Build photovoltaic cell simulation model;Wherein, the intensity of illumination in the photovoltaic cell simulation model and temperature are arbitrarily adjustable.
3. improved photovoltaic battery mathematical model according to claim 2, which is characterized in that imitative using the photovoltaic cell True mode builds physical structure, for simulating photovoltaic array;Wherein, in photovoltaic array any single battery intensity of illumination and temperature Degree is any adjustable.
CN201811085025.0A 2018-09-17 2018-09-17 Improved photovoltaic battery mathematical model Pending CN109492244A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112507560A (en) * 2020-12-15 2021-03-16 国网经济技术研究院有限公司 Segmented photovoltaic array equivalent polymerization model modeling method and system

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106779374A (en) * 2016-12-05 2017-05-31 南通大学 Photovoltaic generation transmits peak power energy storage Optimization Modeling method
CN107463742A (en) * 2017-08-01 2017-12-12 河海大学常州校区 A kind of modeling method for photovoltaic module exception degradation failure

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106779374A (en) * 2016-12-05 2017-05-31 南通大学 Photovoltaic generation transmits peak power energy storage Optimization Modeling method
CN107463742A (en) * 2017-08-01 2017-12-12 河海大学常州校区 A kind of modeling method for photovoltaic module exception degradation failure

Non-Patent Citations (1)

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Title
颜景斌 等: ""局部阴影条件下光伏电池建模与输出特性仿真"", 《电源技术》 *

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112507560A (en) * 2020-12-15 2021-03-16 国网经济技术研究院有限公司 Segmented photovoltaic array equivalent polymerization model modeling method and system
CN112507560B (en) * 2020-12-15 2023-09-12 国网经济技术研究院有限公司 Modeling method and system for segmented photovoltaic array equivalent aggregation model

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Application publication date: 20190319