CN112507560B - Modeling method and system for segmented photovoltaic array equivalent aggregation model - Google Patents
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Abstract
The application relates to a modeling method and a system for a segmented photovoltaic array equivalent aggregation model, comprising the following steps: s1: according to technical parameters of the photovoltaic array, establishing a photovoltaic cell engineering mathematical model under normal illumination conditions; s2: monitoring illumination conditions of the photovoltaic array in real time, and determining illumination intensity variation of each photovoltaic cell in the photovoltaic array; s3: correcting a photovoltaic cell engineering mathematical model of the photovoltaic array according to the illumination intensity variation; s4: sequencing the change amount of the illumination intensity of the photovoltaic cells in each photovoltaic group string, and establishing a photovoltaic cell equivalent model of each photovoltaic group string; s5: and aggregating the photovoltaic cell equivalent models of each photovoltaic group string to finally generate an equivalent aggregation model of the whole photovoltaic array so as to determine the specific working state of each photovoltaic cell in the photovoltaic array. When the correction of the photovoltaic parameters is considered, only the illumination intensity variation is required to be focused, and the method is suitable for the photovoltaic systems under different scale levels.
Description
Technical Field
The application relates to a modeling method and system for a segmented photovoltaic array equivalent aggregation model, and belongs to the technical field of photovoltaic energy.
Background
Photovoltaic has the outstanding advantages of energy renewable property, environmental friendliness and the like, is considered as one of main clean energy sources for replacing fossil fuels in the future, and has been widely studied and applied at present. Because the photovoltaic grid connection is a complex system integrating a photovoltaic array and a related power electronic grid-connected converter, the photovoltaic array is more complex in structure formed by combining a plurality of photovoltaic cells in series-parallel connection, and direct analysis is inconvenient, and therefore, the related equivalent modeling research is necessary to develop a photovoltaic model.
However, current research on photovoltaic modeling often uses a photovoltaic power generation system as a whole to analyze, and more focuses on a typical grid-connected scenario of a large photovoltaic power station. The integrated analysis is helpful to further simplify the equivalent model, but the problem of misalignment of the equivalent model under the working condition of a complex system, such as the illumination condition of local shadow shielding, also exists. In addition, as the distribution technology is continuously evolving, the direct current distribution network is gradually becoming a hot spot of current research, and occasions where the photovoltaic is connected into the power network in a distributed mode are gradually increased, so that higher requirements are also put on the accuracy of a photovoltaic model. Obviously, the existing integral modeling method taking a photovoltaic power generation system as a basic unit cannot meet the requirement of photovoltaic access to a direct-current power distribution network on one hand, and on the other hand, high-precision equivalent output characteristics are difficult to obtain.
Disclosure of Invention
Aiming at the problems, the application aims to provide a modeling method and a system for a segmented photovoltaic array equivalent aggregation model, which only need to pay attention to a single variable of illumination intensity variation when the correction of photovoltaic parameters is considered, bring a certain convenience to actual monitoring work, realize specific working states of each photovoltaic cell in the photovoltaic array and are suitable for modeling of photovoltaic power generation systems under different scale levels.
In order to achieve the above purpose, the present application adopts the following technical scheme: a modeling method of a segmented photovoltaic array equivalent aggregation model comprises the following steps: s1: according to technical parameters of the photovoltaic array, establishing a photovoltaic cell engineering mathematical model under normal illumination conditions; s2: monitoring illumination conditions of the photovoltaic array in real time, and determining illumination intensity variation of each photovoltaic cell in the photovoltaic array; s3: correcting a photovoltaic cell engineering mathematical model of the photovoltaic array according to the illumination intensity variation; s4: sequencing the change amount of the illumination intensity of the photovoltaic cells in each photovoltaic group string, and establishing a photovoltaic cell equivalent model of each photovoltaic group string; s5: and aggregating the photovoltaic cell equivalent models of each photovoltaic group string to finally generate an equivalent aggregation model of the whole photovoltaic array so as to determine the specific working state of each photovoltaic cell in the photovoltaic array.
Further, the technical parameters of the photovoltaic array in step S1 include: photovoltaic cell short circuit current I sc_ref Open circuit voltage U oc_ref Maximum power point current I m_ref Maximum power point voltage U m_ref Maximum power point power P m_ref 。
Further, the mathematical model of the photovoltaic cell engineering under the normal illumination condition in step S1 is as follows:
wherein I is cell_ref U and U cell_ref Respectively, photovoltaic cells under normal illumination conditionsThe lower output current and output voltage; c (C) 1 And C 2 Is an intermediate variable in the calculation process.
Further, the process of correcting the photovoltaic cell engineering mathematical model of the photovoltaic array in step S3 includes the following steps: correcting the short-circuit current of the photovoltaic cell according to the change condition of the illumination condition; and correcting the open-circuit voltage of the photovoltaic cell according to the change condition of the illumination condition, and establishing an engineering mathematical model of the corrected photovoltaic cell according to the corrected short-circuit current and the corrected open-circuit voltage.
Further, the engineering mathematical model of the modified photovoltaic cell is:
wherein I is ij And U ij Respectively the actual output current and the output voltage of the ith photovoltaic cell in the jth group of photovoltaic group strings in the optical needle array under any illumination condition, F I (ΔG ij ) F is the correction coefficient of short-circuit current U (ΔG ij ) As correction factor of open circuit voltage, ΔG ij Refers to the illumination intensity variation value of the ith photovoltaic cell in the jth group of photovoltaic group strings in the light needle array.
Further, the correction equation of the short-circuit current of the photovoltaic cell is:
wherein I is scij G is short-circuit current of the ith photovoltaic cell in the jth group of photovoltaic string in the optical needle array under any illumination condition ref G is the illumination intensity under normal conditions ij For the intensity of illumination actually experienced by the photovoltaic cell ΔG ij The corresponding illumination intensity variation is obtained; a is a calculation coefficient, K is an illumination intensity influence coefficient, deltaT is a working temperature variation of the photovoltaic cell, deltaT ij =KG ref ΔG ij ,F I (ΔG ij ) Is the correction coefficient of the short-circuit current;
the correction equation for the open circuit voltage of the photovoltaic cell is:
U ocij =U oc_ref (1-cΔT ij )(1+bΔG ij )
=U oc_ref [-bcKG ref Δ 2 G ij +(b-cKG ref )ΔG ij +1]
=F U (ΔG ij )U oc_ref
wherein U is ocij For the open-circuit voltage of the ith photovoltaic cell in the jth group of photovoltaic group strings in the optical needle array under any illumination condition, b and c are calculation coefficients, F U (ΔG ij ) Is a correction factor for the open circuit voltage.
Further, the process of establishing the photovoltaic cell equivalent model of each photovoltaic group string in the step 4 is as follows: s4.1 pairs of N in the j-th group of photovoltaic strings s The magnitude of the illumination intensity variation of each photovoltaic cell is sequenced, and N in the photovoltaic group string of the j group is determined s Actual short circuit current values for the individual photovoltaic cells; s4.2, carrying out the size of each photovoltaic cell according to the actual short-circuit current value, and establishing an equivalent output model of the j-th group of photovoltaic group strings; and S4.3, completing the equivalent output models of all the photovoltaic group strings according to the equivalent output model of the j-th group photovoltaic group string.
Further, the formula of the equivalent output model of the j-th group of photovoltaic strings in step S4.2 is:
wherein I is string_j And U string_j The actual equivalent output current and the actual equivalent output voltage of the j-th group of photovoltaic strings under any lighting condition are respectively.
Further, the formula of the equivalent aggregation model of the whole photovoltaic array in step S5 is:
wherein I is out And U out Respectively the actual output current and the output voltage of the photovoltaic array under any illumination condition, N p Is the string number of the photovoltaic string.
The application also discloses a segmented photovoltaic array equivalent aggregation model modeling system, which comprises: the normal illumination modeling module is used for establishing a photovoltaic cell engineering mathematical model under normal illumination conditions according to technical parameters of the photovoltaic array; the illumination monitoring module is used for monitoring illumination conditions of the photovoltaic array in real time and determining illumination intensity variation of each photovoltaic cell in the photovoltaic array; the model correction module is used for correcting the photovoltaic cell engineering mathematical model of the photovoltaic array according to the illumination intensity variation; the group string equivalent modeling module is used for sequencing the illumination intensity variation of the photovoltaic cells in each photovoltaic group string and establishing a photovoltaic cell equivalent model of each photovoltaic group string; and the array equivalent modeling module is used for aggregating the photovoltaic cell equivalent models of each photovoltaic group string to finally generate an equivalent aggregation model of the whole photovoltaic array so as to determine the specific working state of each photovoltaic cell in the photovoltaic array.
Due to the adoption of the technical scheme, the application has the following advantages: aiming at a typical photovoltaic array structure, the application only needs to pay attention to a single variable of illumination intensity variation when the correction of photovoltaic parameters is considered, brings a certain convenience for actual monitoring work, realizes the specific working state of each photovoltaic cell in the photovoltaic array, and is suitable for modeling of photovoltaic power generation systems under different scale orders. On the basis of guaranteeing the accuracy of the output external characteristics, the established equivalent aggregation model greatly shortens the calculation time, saves the calculation cost, has generality and can be effectively applied to various complex working conditions.
Drawings
FIG. 1 is a flow chart of a method of modeling a segmented photovoltaic array equivalent aggregate model in accordance with an embodiment of the present application;
FIG. 2 is a block diagram of a typical photovoltaic array in accordance with one embodiment of the present application;
fig. 3 is an equivalent circuit diagram of a photovoltaic cell in a photovoltaic array in an embodiment of the present application.
Detailed Description
The present application will be described in detail with reference to specific examples thereof in order to better understand the technical direction of the present application by those skilled in the art. It should be understood, however, that the detailed description is presented only to provide a better understanding of the application, and should not be taken to limit the application. In the description of the present application, it is to be understood that the terminology used is for the purpose of description only and is not to be interpreted as indicating or implying relative importance.
Example 1
The embodiment discloses a modeling method of a segmented photovoltaic array equivalent aggregation model, as shown in fig. 1, comprising the following steps:
s1: and establishing a photovoltaic cell engineering mathematical model under normal illumination according to the technical parameters of the photovoltaic array.
Technical parameters of the photovoltaic array include: photovoltaic cell short circuit current I sc_ref Open circuit voltage U oc_ref Maximum power point current I m_ref Maximum power point voltage U m_ref Maximum power point power P m_ref 。
The mathematical model of the photovoltaic cell engineering under the normal illumination condition is as follows:
wherein I is cell_ref U and U cell_ref Respectively outputting current and voltage of the photovoltaic cell under normal illumination conditions; c (C) 1 And C 2 Is an intermediate variable in the calculation process.
S2: monitoring illumination conditions of the photovoltaic array in real time, and determining illumination intensity variation delta G of each photovoltaic cell in the photovoltaic array ij 。ΔG ij Refers to the illumination intensity variation value of the ith photovoltaic cell in the jth group of photovoltaic group strings in the light needle array, i=1, 2, … and N s ,j=1,2,…,N p ,ΔG ij And is less than or equal to 0. FIG. 2 is a block diagram of a typical photovoltaic array according to the present embodimentAs shown in fig. 2, the photovoltaic array in the present embodiment is composed of N p Each photovoltaic group string is formed by connecting N in parallel s The photovoltaic cells are connected in series, and each photovoltaic cell is provided with an anti-parallel bypass diode. Meanwhile, diodes are connected in series on the branches of each group of photovoltaic strings so as to prevent the problem of reverse current generated by voltage difference between the branches. FIG. 3 is an equivalent circuit diagram of a photovoltaic cell in a photovoltaic array, as shown in FIG. 3, comprising an ideal power source I L An ideal power supply I, a diode Id, a parallel resistor Rsh and a series resistor Rs L The resistor Rs is connected in series and becomes an output end of the photovoltaic cell; a diode Id and a parallel resistor Rsh are connected with the ideal power supply I in turn L And are connected in parallel. R is R L Is the load resistance. The parallel resistor Rsh is designed based on the recombination of carriers and the surface leakage current along the edge of the cell, and the series resistor Rs is an equivalent series resistor obtained by recombination of the surface resistor of the diffusion top region, the cell body resistor, the ohmic resistor between the upper electrode and the lower electrode, and the like.
S3: and correcting the photovoltaic cell engineering mathematical model of the photovoltaic array according to the illumination intensity variation.
The process of correcting the photovoltaic cell engineering mathematical model of the photovoltaic array in the step S3 comprises the following steps: correcting the short-circuit current of the photovoltaic cell according to the change condition of the illumination condition; the correction equation for the short-circuit current of the photovoltaic cell is:
wherein I is scij G is short-circuit current of the ith photovoltaic cell in the jth group of photovoltaic string in the optical needle array under any illumination condition ref G is the illumination intensity under normal conditions ij For the intensity of illumination actually experienced by the photovoltaic cell ΔG ij The corresponding illumination intensity variation is obtained; a is a calculation coefficient, K is an illumination intensity influence coefficient, deltaT is a working temperature variation of the photovoltaic cell, deltaT ij =KG ref ΔG ij ,F I (ΔG ij ) Is the correction factor for the short-circuit current.
According to the change condition of illumination conditions, correcting the open-circuit voltage of the photovoltaic cell, wherein a correction equation of the open-circuit voltage of the photovoltaic cell is as follows:
U ocij =U oc_ref (1-cΔT ij )(1+bΔG ij )
=U oc_ref [-bcKG ref Δ 2 G ij +(b-cKG ref )ΔG ij +1]
=F U (ΔG ij )U oc_ref
wherein U is ocij For the open-circuit voltage of the ith photovoltaic cell in the jth group of photovoltaic group strings in the optical needle array under any illumination condition, b and c are calculation coefficients, F U (ΔG ij ) Is a correction factor for the open circuit voltage.
And establishing an engineering mathematical model of the modified photovoltaic cell according to the modified short-circuit current and the modified open-circuit voltage. The engineering mathematical model of the modified photovoltaic cell is as follows:
wherein I is ij And U ij Respectively the actual output current and the output voltage of the ith photovoltaic cell in the jth group of photovoltaic group strings in the optical needle array under any illumination condition, F I (ΔG ij ) F is the correction coefficient of short-circuit current U (ΔG ij ) As correction factor of open circuit voltage, ΔG ij Refers to the illumination intensity variation value of the ith photovoltaic cell in the jth group of photovoltaic group strings in the light needle array.
S4: and sequencing the change amount of the illumination intensity of the photovoltaic cells in each photovoltaic group string, and establishing a photovoltaic cell equivalent model of each photovoltaic group string.
The process of establishing the photovoltaic cell equivalent model of each photovoltaic group string is as follows:
s4.1 pairs of N in the j-th group of photovoltaic strings s The magnitude of the illumination intensity variation of each photovoltaic cell is sequenced, and the j-th photovoltaic group is determinedIn-string N s Actual short circuit current values for the individual photovoltaic cells;
s4.2, according to the actual short-circuit current value, the size of each photovoltaic cell is carried out, an equivalent output model of the j-th group of photovoltaic strings is established, and I is assumed sc_ref =I sc0j ≥I sc1j ≥…I scij ≥…≥I scNsj >0; wherein I is scij Short circuit current for the ith photovoltaic cell in the jth group of photovoltaic string.
The formula of the equivalent output model of the j-th group of photovoltaic string in the step S4.2 is as follows:
wherein I is string_j And U string_j The actual equivalent output current and the actual equivalent output voltage of the j-th group of photovoltaic strings under any lighting condition are respectively.
And S4.3, completing the equivalent output models of all the photovoltaic group strings according to the equivalent output model of the j-th group photovoltaic group string.
S5: and aggregating the photovoltaic cell equivalent models of each photovoltaic group string to finally generate an equivalent aggregation model of the whole photovoltaic array so as to determine the specific working state of each photovoltaic cell in the photovoltaic array.
The formula of the equivalent aggregation model of the whole photovoltaic array is as follows:
wherein I is out And U out Respectively the actual output current and the output voltage of the photovoltaic array under any illumination condition, N p Is the string number of the photovoltaic string.
In the segmented photovoltaic array equivalent aggregation modeling process, the illumination intensity change condition of each photovoltaic cell needs to be monitored in real time according to the actual application condition, and the photovoltaic cells, the photovoltaic group strings and the equivalent output models of the photovoltaic arrays are synchronously corrected so as to ensure the accuracy of the external output characteristics of the photovoltaic array aggregation models.
Aiming at a typical photovoltaic array structure, the application provides a modeling method based on a segmented photovoltaic array equivalent aggregation model, and the method only needs to pay attention to a single variable of illumination intensity variation when considering photovoltaic parameter correction, thereby bringing a certain convenience to actual monitoring work, realizing specific working states of each photovoltaic cell in the photovoltaic array, and being suitable for modeling of photovoltaic power generation systems under different scale levels. On the basis of guaranteeing the accuracy of the output external characteristics, the established equivalent aggregation model greatly shortens the calculation time, saves the calculation cost, has generality and can be effectively applied to various complex working conditions.
Example two
Based on the same inventive concept, the embodiment provides a segmented photovoltaic array equivalent aggregation model modeling system, which comprises:
the normal illumination modeling module is used for establishing a photovoltaic cell engineering mathematical model under normal illumination conditions according to technical parameters of the photovoltaic array;
the illumination monitoring module is used for monitoring illumination conditions of the photovoltaic array in real time and determining illumination intensity variation of each photovoltaic cell in the photovoltaic array;
the model correction module is used for correcting the photovoltaic cell engineering mathematical model of the photovoltaic array according to the illumination intensity variation;
the group string equivalent modeling module is used for sequencing the illumination intensity variation of the photovoltaic cells in each photovoltaic group string and establishing a photovoltaic cell equivalent model of each photovoltaic group string;
and the array equivalent modeling module is used for aggregating the photovoltaic cell equivalent models of each photovoltaic group string to finally generate an equivalent aggregation model of the whole photovoltaic array so as to determine the specific working state of each photovoltaic cell in the photovoltaic array.
Finally, it should be noted that: the above embodiments are only for illustrating the technical aspects of the present application and not for limiting the same, and although the present application has been described in detail with reference to the above embodiments, it should be understood by those of ordinary skill in the art that: modifications and equivalents may be made to the specific embodiments of the application without departing from the spirit and scope of the application, which is intended to be covered by the claims. The foregoing is merely illustrative of the present application, and the present application is not limited thereto, and any person skilled in the art will readily appreciate variations or alternatives within the scope of the present application. Therefore, the protection scope of the application is subject to the protection scope of the claims.
Claims (9)
1. The modeling method of the segmented photovoltaic array equivalent aggregation model is characterized by comprising the following steps of:
s1: according to technical parameters of the photovoltaic array, establishing a photovoltaic cell engineering mathematical model under normal illumination conditions;
s2: monitoring illumination conditions of the photovoltaic array in real time, and determining illumination intensity variation of each photovoltaic cell in the photovoltaic array;
s3: obtaining corrected short-circuit current and open-circuit voltage of the photovoltaic cell according to the illumination intensity variation, and obtaining corrected photovoltaic cell engineering mathematical model according to the corrected short-circuit current and open-circuit voltage of the photovoltaic cell;
s4: sequencing the change amount of the illumination intensity of the photovoltaic cells in each photovoltaic group string, and establishing a photovoltaic cell equivalent model of each photovoltaic group string according to the corrected short-circuit current and open-circuit voltage of the photovoltaic cells;
s5: and aggregating the photovoltaic cell equivalent models of each photovoltaic group string to finally generate an equivalent aggregation model of the whole photovoltaic array so as to determine the specific working state of each photovoltaic cell in the photovoltaic array.
2. The modeling method of the segmented photovoltaic array equivalent aggregation model according to claim 1, wherein the technical parameters of the photovoltaic array in step S1 include: photovoltaic cell short circuit current I sc_ref Open circuit voltage U oc_ref Maximum power point current I m_ref Maximum power point voltage U m_ref Maximum power point power P m_ref 。
3. The modeling method of the segmented photovoltaic array equivalent aggregate model according to claim 2, wherein the mathematical model of the photovoltaic cell engineering under the normal illumination condition in the step S1 is:
wherein I is cell_ref U and U cell_ref Respectively outputting current and voltage of the photovoltaic cell under normal illumination conditions; c (C) 1 And C 2 Is an intermediate variable in the calculation process.
4. The modeling method of a photovoltaic array equivalent aggregate model according to claim 3, wherein the modified engineering mathematical model of the photovoltaic cell is:
wherein I is ij And U ij Respectively the actual output current and the output voltage of the ith photovoltaic cell in the jth group of photovoltaic string in the photovoltaic array under any illumination condition, F I (ΔG ij ) F is the correction coefficient of short-circuit current U (ΔG ij ) As correction factor of open circuit voltage, ΔG ij Refers to the illumination intensity variation value of the ith photovoltaic cell in the jth group of photovoltaic string in the photovoltaic array.
5. The modeling method of a photovoltaic array equivalent aggregation model according to claim 3, wherein the correction equation of the short-circuit current of the photovoltaic cell is:
wherein I is scij G is short-circuit current of the ith photovoltaic cell in the jth group of photovoltaic string in the photovoltaic array under any illumination condition ref G is the illumination intensity under normal conditions ij For the intensity of illumination actually experienced by the photovoltaic cell ΔG ij The corresponding illumination intensity variation is obtained; a is a calculation coefficient, K is an illumination intensity influence coefficient, and DeltaT ij Delta T is the change in operating temperature of the photovoltaic cell ij =KG ref ΔG ij ,F I (ΔG ij ) Is the correction coefficient of the short-circuit current;
the correction equation of the open circuit voltage of the photovoltaic cell is as follows:
U ocij =U oc_ref (1-cΔT ij )(1+bΔG ij )
=U oc_ref [-bcKG ref Δ 2 G ij +(b-cKG ref )ΔG ij +1]
=F U (ΔG ij )U oc_ref
wherein U is ocij For the open-circuit voltage of the ith photovoltaic cell in the jth group of photovoltaic string in the photovoltaic array under any illumination condition, b and c are calculation coefficients, F U (ΔG ij ) Is a correction factor for the open circuit voltage.
6. The modeling method of a photovoltaic array equivalent aggregation model according to claim 5, wherein the process of establishing the photovoltaic cell equivalent model of each photovoltaic string in step 4 is as follows:
s4.1 pairs of N in the j-th group of photovoltaic strings s The magnitude of the change of the illumination intensity of each photovoltaic cell is sequenced, and N in the photovoltaic group string of the j group is determined s Actual short circuit current values for the individual photovoltaic cells;
s4.2, calculating the actual equivalent output current and output voltage of each photovoltaic cell according to the actual short-circuit current value, and establishing an equivalent output model of the j-th group of photovoltaic strings according to the corrected short-circuit current and open-circuit voltage of the photovoltaic cells;
and S4.3, completing the equivalent output models of all the photovoltaic group strings according to the equivalent output model of the j-th group photovoltaic group string.
7. The modeling method of a photovoltaic array equivalent aggregation model according to claim 6, wherein the equation of the equivalent output model of the j-th group of photovoltaic strings in step S4.2 is:
wherein I is string_j And U string_j The actual equivalent output current and the actual equivalent output voltage of the j-th group of photovoltaic strings under any lighting condition are respectively.
8. The modeling method of an equivalent aggregate model of a photovoltaic array according to claim 7, wherein the formula of the equivalent aggregate model of the entire photovoltaic array in step S5 is:
wherein I is out And U out Respectively the actual output current and the output voltage of the photovoltaic array under any illumination condition, N p Is the string number of the photovoltaic string.
9. A segmented photovoltaic array equivalent aggregate model modeling system, comprising:
the normal illumination modeling module is used for establishing a photovoltaic cell engineering mathematical model under normal illumination conditions according to technical parameters of the photovoltaic array;
the illumination monitoring module is used for monitoring illumination conditions of the photovoltaic array in real time and determining illumination intensity variation of each photovoltaic cell in the photovoltaic array;
the model correction module is used for obtaining corrected short-circuit current and open-circuit voltage of the photovoltaic cell according to the illumination intensity variation, and obtaining corrected photovoltaic cell engineering mathematical model according to the corrected short-circuit current and open-circuit voltage of the photovoltaic cell;
the group string equivalent modeling module is used for sequencing the illumination intensity variation of the photovoltaic cells in each photovoltaic group string and establishing a photovoltaic cell equivalent model of each photovoltaic group string according to the corrected short circuit current and open circuit voltage of the photovoltaic cells;
and the array equivalent modeling module is used for aggregating the photovoltaic cell equivalent models of each photovoltaic group string to finally generate an equivalent aggregation model of the whole photovoltaic array so as to determine the specific working state of each photovoltaic cell in the photovoltaic array.
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