CN110896218A - Harmonic modeling method and system for establishing collective residential load - Google Patents
Harmonic modeling method and system for establishing collective residential load Download PDFInfo
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- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
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Abstract
The invention discloses a harmonic modeling method and a harmonic modeling system for establishing an integrated residential load, which are used for acquiring measured voltage and current data of the integrated residential load; establishing a principal component harmonic coupling matrix model of the household appliance load based on the actually measured voltage and current data; and calculating parameters of a principal component harmonic coupling matrix model based on an improved least square method to obtain a harmonic model of the collective residential load. Aiming at the collective residential load, the provided principal component harmonic coupling matrix model calculates fewer model parameters compared with a complete harmonic coupling matrix model, can embody the coupling relation between each harmonic compared with a constant current source model, and can obtain the principal component harmonic coupling matrix model parameters only by taking the voltage and the current of the collective residential load as input.
Description
Technical Field
The invention belongs to the technical field of load harmonic modeling, and particularly relates to a harmonic modeling method and system for establishing collective residential load.
Background
The statements in this section merely provide background information related to the present disclosure and may not necessarily constitute prior art.
At present, the total electricity consumption of families in the world can reach 8.2 trillion kilowatt-hours every year, and accounts for about 40 percent of the total electricity consumption of the whole society. With the development of economy and the improvement of the living standard of residents, the total electricity consumption of the residents in China is promoted year by year, and the total electricity consumption accounts for 20 percent of the total electricity consumption of the society by 2030. According to the us energy consumption survey report in 2015, it is known that the household appliances with high power consumption in the residential load are expanded from the original only 4 categories to 26 categories, wherein most of the newly counted household appliance loads have nonlinear loads such as power electronic devices, harmonic current distortion of the household appliance loads is very serious, and the total harmonic distortion rate of most of the current can reach 130%. The access of a large number of nonlinear household loads leads to the harmonic content in a resident low-voltage distribution network exceeding the standard, so that the safe and economic operation capacity of the power grid is reduced. Therefore, in order to accurately evaluate and analyze the influence of the access of the collective residential load on the residential distribution network, it is necessary to establish an accurate harmonic model for the collective residential load.
The inventor finds in research that the current harmonic modeling methods related to the collective residential load can be divided into a bottom-up based modeling method and a measured data based modeling method.
The application number is 'application number 201811258954.7', the patent name is 'a method for establishing a household appliance load harmonic model based on measured data', the method mainly aims at single household appliance load and belongs to different technical concepts from collective residential load, the collective residential load is a generalized collective residential load obtained by mixing a plurality of different household appliance loads, compared with the single household appliance load, the collective residential load has the characteristics of randomness and time variation, and therefore model parameters have the characteristics of randomness and time variation.
A detailed electric model and a starting model thereof need to be established for a single household appliance load based on a bottom-up method, and then a harmonic model of collective resident loads is obtained through random aggregation. The precision of the method depends on the precision of the selected electrical model and the opening model, in practice, a constant current source model is adopted by a plurality of household appliance loads, and when the voltage distortion and fluctuation of the model are large, large errors can occur. For the on model, the accuracy depends on the accuracy of the statistical data of the on and off times of the household appliance load. Therefore, the precision of the adopted electric model is low when the method from bottom to top is adopted for modeling the collective resident load, the accuracy of the switch model needs a large amount of accurate statistical data, and the time consumption is long.
Disclosure of Invention
In order to overcome the defects of the prior art, the invention provides a harmonic modeling method for establishing the collective residential load, which is used for carrying out harmonic modeling on the collective residential load by utilizing a modeling method of a principal element harmonic coupling matrix model and solving the problem that the harmonic coupling strength of the collective residential load is lower for some times.
In order to achieve the above object, one or more embodiments of the present invention provide the following technical solutions:
a harmonic modeling method for establishing an aggregate residential load, comprising:
acquiring measured voltage and current data of the collective residential load;
establishing a principal component harmonic coupling matrix model of the household appliance load based on the actually measured voltage and current data;
and calculating parameters of a principal component harmonic coupling matrix model based on an improved least square method to obtain a harmonic model of the collective residential load.
According to the further technical scheme, the acquired data are analyzed by adopting a method of interpolation discrete Fourier transform and Hanning window, and a Hampel filter is adopted to filter abnormal values in the data, so that phasor values of voltage and current of each subharmonic are obtained.
According to the further technical scheme, a principal component harmonic coupling matrix model of the household appliance load is expanded, and parameters of the harmonic coupling matrix model are calculated.
According to the further technical scheme, harmonic coupling matrix model parameters are solved based on an improved least square method, and a main element position matrix is obtained by utilizing criterion selection.
According to the further technical scheme, a principal element harmonic coupling matrix model is obtained according to the current phasor matrix, the harmonic voltage phasor matrix and the main element position matrix.
In the further technical scheme, the improved least square method is used for calculating the parameters of the harmonic coupling matrix model of the principal element, and the specific steps are as follows:
inputting: a current phasor matrix, a harmonic voltage phasor matrix and a main element position matrix;
determining the element to be estimated in the ith row according to the ith row element in the main element position matrix;
calculating harmonic coupling matrix parameters in the ith row based on a least square method;
storing the calculated ith row parameter;
and outputting the parameters of the principal harmonic coupling matrix model.
A harmonic modeling system for establishing an aggregate residential load, comprising:
the data acquisition module is used for acquiring the actually measured voltage and current data of the collective resident load;
the principal component harmonic coupling matrix model building module is used for building a principal component harmonic coupling matrix model of the household appliance load based on actually measured voltage and current data;
and the harmonic model building module of the collective residential load calculates the parameters of the principal element harmonic coupling matrix model based on an improved least square method to obtain the harmonic model of the collective residential load.
The above one or more technical solutions have the following beneficial effects:
aiming at the collective residential load, the provided principal component harmonic coupling matrix model calculates fewer model parameters compared with a complete harmonic coupling matrix model, can embody the coupling relation between each harmonic compared with a constant current source model, and can obtain the principal component harmonic coupling matrix model parameters only by taking the voltage and the current of the collective residential load as input.
The modeling method disclosed by the invention is mainly used for establishing a principal element harmonic coupling admittance matrix model different from a traditional constant current source model, and the model can consider the influence between harmonics with strong coupling, so that the model is more accurate.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, are included to provide a further understanding of the invention, and are incorporated in and constitute a part of this specification, illustrate exemplary embodiments of the invention and together with the description serve to explain the invention and not to limit the invention.
FIG. 1 is a flowchart of a method for establishing a collective residential load principal harmonic coupling matrix model based on measured data according to the present invention;
FIG. 2 is a circuit diagram of an experimental platform for experimental measurements according to the present invention;
3(a) -3 (c) are comparison graphs of current and actual current waveforms reconstructed based on the principal harmonic coupling matrix model and the constant current source model provided by the invention under three different time collective residential loads.
Detailed Description
It is to be understood that the following detailed description is exemplary and is intended to provide further explanation of the invention as claimed. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of exemplary embodiments according to the invention. As used herein, the singular forms "a", "an" and "the" are intended to include the plural forms as well, and it should be understood that when the terms "comprises" and/or "comprising" are used in this specification, they specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof, unless the context clearly indicates otherwise.
The embodiments and features of the embodiments of the present invention may be combined with each other without conflict.
The general idea provided by the invention is as follows:
establishing an experimental measurement platform, carrying out experimental measurement on the load of the collective residents, analyzing the measured data by adopting a method of interpolation discrete Fourier transform and Hanning window, and filtering abnormal values in the measured data by adopting a Hampel filter to obtain phasor values of voltage and current of each subharmonic; based on the coupling strength relationship among the harmonics of the collective residential load, establishing a principal element harmonic coupling matrix model of the collective residential load by reserving elements with strong coupling relationship; actual measurement voltage and current phasor values are selected as input, and principal component harmonic coupling matrix model parameters are calculated based on an improved least square method, so that a principal component harmonic coupling matrix model of the collective residential load is obtained. According to the method, the principal component harmonic coupling matrix model can be established according to the strength of the coupling relation among the harmonics of the collective residential load, and a corresponding model calculation method is provided according to the characteristics of the principal component harmonic coupling matrix model to obtain the principal component harmonic coupling matrix model of the collective residential load.
Example one
The embodiment discloses a harmonic modeling method for establishing collective residential load, which can calculate the parameters of a principal harmonic coupling matrix model of the collective residential load by utilizing measured voltage and current data of the collective residential load based on an improved least square method and establish a harmonic model of the collective residential load.
Referring to fig. 1, specifically, the method includes:
(1) establishing an experimental measurement platform to obtain measured voltage and current data of the collective resident load;
(2) establishing a principal component harmonic coupling matrix model of the collective residential load;
(3) and calculating parameters of a principal component harmonic coupling matrix model based on an improved least square method to obtain a harmonic model of the collective residential load.
The main step (1) comprises
An experimental measurement platform is established, a circuit diagram of the experimental measurement platform is shown in fig. 2, a voltage clamp and a current clamp respectively measure power supply voltage and current waveforms of collective resident loads, actual voltage and current data of the voltage clamp and the current clamp are obtained by combining a data acquisition board and data acquisition software LABVIEW and are stored in a notebook computer, then the acquired data are analyzed by adopting a method of interpolation discrete Fourier transform and Hanning window, and a Hampel filter is adopted to filter abnormal values in the data, so that phasor values of voltage and current of each subharmonic are obtained.
The main step (2) comprises
Aiming at the collective residential load, a harmonic coupling matrix model is established, and the specific expression is as follows:
wherein the elements
Characterizing the ith harmonic current phasor value;
characterizing an ith harmonic current source injection phasor value;
characterizing a jth harmonic voltage magnitude; y isijCharacterizing the degree of contribution of the jth harmonic voltage to the ith harmonic current, i, j being 1, 3, …, K; the highest harmonic order of voltage and current is chosen as K.
To calculate the parameters of the harmonic coupling matrix model using the measured voltage and current phasor values, equation (1) needs to be extended to:
in the formula
An ith harmonic current phasor value representing an nth set of measurement data,
a j-th harmonic voltage magnitude value representing an nth set of measurement data.
The compact form of equation (2) is:
wherein
In the form of a matrix of current phasors,
is a row matrix of all 1 s,
is a harmonic voltage phasor matrix.
Based on the least square method, the harmonic coupling matrix model parameters can be solved, and can be expressed as:
where "H" denotes a matrix conjugate transpose.
The main elements in the matrix Y are selected by the criteria in equation (5), which can be expressed as:
wherein the numbers "1" and "0" denote the elements requiring reservation and the elements not requiring reservation, respectively, YsetIs a set threshold. After the selection of the formula (5), a main element position matrix Y consisting of numbers '1' and '0' can be obtainednew。
Wherein the step (3) comprises
For the obtained current phasor matrix
All 1 row matrix
Harmonic voltage phasor matrix
And a principal element position matrix YnewThe obtained principal component harmonic coupling matrix model is as follows:
wherein IsAnd YDFor the principal harmonic coupling matrix model parameters, ". represents a point product.
Equation (1) converts the effect of the fundamental voltage on the model element into a constant current source injection, i.e.
And characterizing the ith harmonic current source injection phasor value. And the expansion is to carry out n times of measurement on the basis of the formula (1) to obtain a formula (2). The reason why this is equivalent to the current source injection value is mainly because the magnitude of each harmonic current is small compared to the fundamental voltage in the collective load, and therefore, it can be equivalent to a constant current source. The magnitude of each harmonic current of a single household appliance load is greatly different from that of the fundamental voltage, so that only a completely coupled model, namely a harmonic coupling matrix model, can be adopted.
The equations (1) - (3) are mainly to calculate the initial model parameters, and then the main elements in the matrix Y are retained through the equation (5), and the secondary elements in the matrix Y are removed, so as to obtain a new harmonic model, i.e. a principal component harmonic coupling matrix model, which is expressed as the equation (6). The reason for this is that, in the case of ignoring the secondary elements, the overall modeling accuracy is not affected, and meanwhile, the elements in the matrix Y can be reduced, thereby saving time for subsequent large-scale modeling and improving the modeling efficiency.
And then calculating parameters of a principal component harmonic coupling matrix model based on an improved least square method, wherein the specific steps are as follows:
1) inputting: i, V, Ynew。
2) And (3) circulation: let i be 1, …, K.
3) According to YnewThe element of row i in (a) determines the element of row i that needs to be evaluated.
4) And calculating the harmonic coupling matrix parameters in the ith row based on a least square method.
5) And storing the calculated ith row parameter.
6) The loop is ended.
7) Output principal component harmonic coupling matrix model parameter IsAnd YD。
After the principal element harmonic coupling matrix model parameters of the residential load are obtained, the principal element harmonic coupling matrix model parameters can be applied to harmonic load flow calculation, resonance analysis and harmonic responsibility division.
In order to verify the harmonic model provided by the invention, a constant current source model is adopted as a comparative modeling method, and for errors between the amplitude and the phase angle of each harmonic current of the reconstructed current and the actual current, which adopt a principal harmonic coupling matrix model and the constant current source model, under three different time points of the collective residential load, the errors are shown in table 1:
TABLE 1
The comparison results of the current waveform reconstructed by the harmonic modeling method and the constant current source model and the actually measured current waveform of the collective residential load at the three different times are shown in fig. 3(a) -3 (c).
Example two
The present embodiment aims to provide a computing device, including a memory, a processor, and a computer program stored on the memory and executable on the processor, wherein the processor executes the program to implement the following steps, including:
acquiring measured voltage and current data of the collective residential load;
establishing a principal component harmonic coupling matrix model of the household appliance load based on the actually measured voltage and current data;
and calculating parameters of a principal component harmonic coupling matrix model based on an improved least square method to obtain a harmonic model of the collective residential load.
EXAMPLE III
An object of the present embodiment is to provide a computer-readable storage medium.
A computer-readable storage medium, on which a computer program is stored which, when executed by a processor, performs the steps of:
acquiring measured voltage and current data of the collective residential load;
establishing a principal component harmonic coupling matrix model of the household appliance load based on the actually measured voltage and current data;
and calculating parameters of a principal component harmonic coupling matrix model based on an improved least square method to obtain a harmonic model of the collective residential load.
Example four
A harmonic modeling system for establishing an aggregate residential load, comprising:
the data acquisition module is used for acquiring the actually measured voltage and current data of the collective resident load;
the principal component harmonic coupling matrix model building module is used for building a principal component harmonic coupling matrix model of the household appliance load based on actually measured voltage and current data;
and the harmonic model building module of the collective residential load calculates the parameters of the principal element harmonic coupling matrix model based on an improved least square method to obtain the harmonic model of the collective residential load.
The steps involved in the apparatuses of the above second, third and fourth embodiments correspond to the first embodiment of the method, and the detailed description thereof can be found in the relevant description of the first embodiment. The term "computer-readable storage medium" should be taken to include a single medium or multiple media containing one or more sets of instructions; it should also be understood to include any medium that is capable of storing, encoding or carrying a set of instructions for execution by a processor and that cause the processor to perform any of the methods of the present invention.
Those skilled in the art will appreciate that the modules or steps of the present invention described above can be implemented using general purpose computer means, or alternatively, they can be implemented using program code that is executable by computing means, such that they are stored in memory means for execution by the computing means, or they are separately fabricated into individual integrated circuit modules, or multiple modules or steps of them are fabricated into a single integrated circuit module. The present invention is not limited to any specific combination of hardware and software.
The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention, and various modifications and changes may be made by those skilled in the art. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Although the embodiments of the present invention have been described with reference to the accompanying drawings, it is not intended to limit the scope of the present invention, and it should be understood by those skilled in the art that various modifications and variations can be made without inventive efforts by those skilled in the art based on the technical solution of the present invention.
Claims (9)
1. A harmonic modeling method for establishing collective residential loads, comprising:
acquiring measured voltage and current data of the collective residential load;
establishing a principal component harmonic coupling matrix model of the household appliance load based on the actually measured voltage and current data;
and calculating parameters of a principal component harmonic coupling matrix model based on an improved least square method to obtain a harmonic model of the collective residential load.
2. A harmonic modeling method for building collective population loads as defined in claim 1, characterized in that the collected data is analyzed by interpolation discrete fourier transform plus hanning window, and the abnormal values are filtered by Hampel filter to obtain the phasor values of the voltage and current of each subharmonic.
3. The harmonic modeling method for building collective residential loads as claimed in claim 1, wherein the principal harmonic coupling matrix model of the household appliance load is extended and the parameters of the harmonic coupling matrix model are calculated.
4. A harmonic modeling method for building collective population loads as claimed in claim 1, characterized in that the harmonic coupling matrix model parameters are solved based on the improved least squares method, and the principal element position matrix is obtained by the criterion selection.
5. The harmonic modeling method for building collective residential loads as claimed in claim 1, wherein the principal harmonic coupling matrix model is obtained from a current phasor matrix, a harmonic voltage phasor matrix, and a principal element position matrix.
6. A harmonic modeling method for building collective population loads as defined in claim 1, wherein the improved least squares method calculates principal component harmonic coupling matrix model parameters by the following steps:
inputting: a current phasor matrix, a harmonic voltage phasor matrix and a main element position matrix;
determining the element to be estimated in the ith row according to the ith row element in the main element position matrix;
calculating harmonic coupling matrix parameters in the ith row based on a least square method;
storing the calculated ith row parameter;
and outputting the parameters of the principal harmonic coupling matrix model.
7. A harmonic modeling system for establishing collective residential loads, comprising:
the data acquisition module is used for acquiring the actually measured voltage and current data of the collective resident load;
the principal component harmonic coupling matrix model building module is used for building a principal component harmonic coupling matrix model of the household appliance load based on actually measured voltage and current data;
and the harmonic model building module of the collective residential load calculates the parameters of the principal element harmonic coupling matrix model based on an improved least square method to obtain the harmonic model of the collective residential load.
8. A computing device comprising a memory, a processor, and a computer program stored on the memory and executable on the processor, wherein the processor executes the program to perform steps comprising:
acquiring measured voltage and current data of the collective residential load;
establishing a principal component harmonic coupling matrix model of the household appliance load based on the actually measured voltage and current data;
and calculating parameters of a principal component harmonic coupling matrix model based on an improved least square method to obtain a harmonic model of the collective residential load.
9. A computer-readable storage medium, having a computer program stored thereon, the program, when executed by a processor, performing the steps of:
acquiring measured voltage and current data of the collective residential load;
establishing a principal component harmonic coupling matrix model of the household appliance load based on the actually measured voltage and current data;
and calculating parameters of a principal component harmonic coupling matrix model based on an improved least square method to obtain a harmonic model of the collective residential load.
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