CN115201563A - Multi-harmonic source positioning method and system based on joint entropy - Google Patents
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Abstract
The invention discloses a multi-harmonic source positioning method and a multi-harmonic source positioning system based on joint entropy, which comprises the following steps: acquiring the number of harmonic sources in the system and harmonic voltages of each measurement node; obtaining harmonic times and each harmonic current estimation value of each harmonic source through a harmonic voltage and harmonic state model of each measurement node; constructing a joint entropy matrix between harmonics with different times and harmonic sources according to harmonic voltage and harmonic times of each measurement node in the system and each harmonic current estimation value of each harmonic source based on a joint entropy method; collecting the joint entropy matrixes between all harmonics with different times and harmonic sources to obtain a joint entropy matrix set; and obtaining a harmonic source positioning result by combining the entropy matrix set, the harmonic times, the number of harmonic sources and the number of measurement nodes. The harmonic sources can be located without the need for prior knowledge of the system harmonic impedance and topology.
Description
Technical Field
The invention relates to the technical field of harmonic source positioning, in particular to a multi-harmonic source positioning method and system based on joint entropy.
Background
The statements in this section merely provide background information related to the present disclosure and may not necessarily constitute prior art.
With the large-scale use of photovoltaic inverters, electric vehicle charging piles, novel nonlinear household loads and the like based on power electronic device source loads, the harmonic level in a power system is deteriorated, the background harmonic content is obviously increased, and the mutual influence among harmonic sources is also increased. If the harmonic injection amount of the system exceeds a certain range, some power electronic devices cannot work normally, and even equipment is accelerated to age. In addition, too many harmonics will also result in increased harmonic losses in the system. In order to reduce the harm caused by harmonic waves and improve the power quality, the accurate estimation of the position of a harmonic source is a primary task, and effective reference information can be provided for power quality control work such as harmonic control, filter installation site selection and the like.
At present, harmonic source positioning methods are classified into two types, namely equivalent circuit model-based harmonic state estimation methods. The positioning method based on the equivalent circuit model is based on a Thevenin or Noton equivalent circuit analysis method, and is combined with a power direction method, a critical impedance method and a voltage-current ratio method to determine the position of a harmonic source; the active power direction method has proved to be unable to be used to accurately locate the leading harmonic source from the system or user side, and the critical impedance method of reactive power detects the position of the harmonic source, in this method, it is assumed that the impedances of the system and user side are known, but these two impedances are difficult to obtain in practice, so the concepts of voltage-to-current ratio difference and current-to-voltage ratio difference are proposed to be used to locate the leading harmonic voltage and harmonic current source respectively, however, when there are multiple harmonic sources in the system, it is necessary to perform equivalent modeling and one-by-one analysis on each node in the system, because there are multiple harmonic sources in the actual power grid, and the grid parameters and topology changes, there may be misjudgment when locating the harmonic source, resulting in limited use of this kind of method.
Disclosure of Invention
In order to solve the problems, the invention provides a multi-harmonic source positioning method and system based on joint entropy, which can realize harmonic source positioning only by acquiring the number of harmonic sources in the system and harmonic voltages of various measurement nodes and analyzing harmonic voltage data without knowing power grid parameters and topological structures of the system in advance, and are easy to use in an actual power grid.
In order to achieve the purpose, the invention adopts the following technical scheme:
in a first aspect, a method for positioning a multi-harmonic source based on joint entropy is provided, including:
acquiring the number of harmonic sources in the system and harmonic voltages of each measurement node;
obtaining harmonic times and each harmonic current estimation value of each harmonic source through the harmonic voltage and harmonic state model of each measurement node;
constructing a joint entropy matrix between harmonics with different times and harmonic sources according to harmonic voltage and harmonic times of each measurement node in the system and each harmonic current estimation value of each harmonic source based on a joint entropy method;
collecting the joint entropy matrixes between the harmonic waves of different times and the harmonic wave sources to obtain a joint entropy matrix set;
and obtaining a harmonic source positioning result by combining the entropy matrix set, the harmonic times, the number of harmonic sources and the number of measurement nodes.
In a second aspect, a joint entropy based multiple harmonic source positioning system is provided, including:
the data acquisition module is used for acquiring the number of harmonic sources in the system and the harmonic voltage of each measurement node;
the harmonic current estimation value acquisition module is used for acquiring harmonic times and each harmonic current estimation value of each harmonic source through the harmonic voltage and harmonic state model of each measurement node;
the joint entropy matrix acquisition module is used for constructing a joint entropy matrix between harmonic waves of different times and the harmonic sources according to the harmonic voltage and the harmonic times of each measurement node in the system and each harmonic current estimation value of each harmonic source based on a joint entropy method;
the joint entropy matrix set acquisition module is used for collecting joint entropy matrixes between all harmonics with different times and harmonic sources to obtain a joint entropy matrix set;
and the harmonic source positioning module is used for obtaining a harmonic source positioning result through the joint entropy matrix set, the harmonic times, the number of the harmonic sources and the number of the measurement nodes.
In a third aspect, an electronic device is provided, which includes a memory and a processor, and computer instructions stored in the memory and executed on the processor, where the computer instructions, when executed by the processor, perform the steps of a joint entropy-based multi-harmonic source location method.
In a fourth aspect, a computer-readable storage medium is provided for storing computer instructions, which when executed by a processor, perform the steps of a joint entropy based multi-harmonic source localization method.
Compared with the prior art, the invention has the following beneficial effects:
1. the invention provides a harmonic source positioning method based on joint entropy aiming at a power system containing multiple harmonic sources, which can realize accurate and rapid positioning of the multiple harmonic sources by acquiring the number of the harmonic sources in the system and harmonic voltages of various measurement nodes and analyzing harmonic voltage data without knowing the harmonic impedance and the topological structure of the system in advance.
Advantages of additional aspects of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention.
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The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate embodiments of the application and, together with the description, serve to explain the application and are not intended to limit the application.
FIG. 1 is a flow chart of the method disclosed in example 1;
FIG. 2 is a test chart for verifying the validity and accuracy of the method disclosed in example 1;
fig. 3 is a diagram showing the results of two harmonic sources positioned by the method disclosed in embodiment 1 when injecting harmonics at different times.
The specific implementation mode is as follows:
the invention is further described with reference to the following figures and examples.
It should be noted that the following detailed description is exemplary and is intended to provide further explanation of the disclosure. 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 application 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 example embodiments according to the present application. 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.
Example 1
In this embodiment, a method for locating a multi-harmonic source based on joint entropy is disclosed, as shown in fig. 1, including:
s1: and acquiring the number of harmonic sources in the system and the harmonic voltage of each measurement node.
S2: obtaining harmonic times and each harmonic current estimation value of each harmonic source through a harmonic voltage and harmonic state model of each measurement node, and the method specifically comprises the following steps: preprocessing the harmonic voltage of each measurement node to obtain the preprocessed voltage of each measurement node;
and obtaining the harmonic times and each harmonic current estimation value of each harmonic source according to the voltage and harmonic state model after pretreatment of each measurement node.
The harmonic frequency is determined according to the voltage of each measurement node after pretreatment.
And preprocessing the harmonic voltage of each measurement node by adopting a moving average filtering method.
The construction process of the harmonic state model comprises the following steps:
for the h harmonic, establishing a harmonic state equation, wherein the specific expression is (1):
wherein,
an estimated h-th harmonic current value representing the j-th harmonic source,
for obtaining the h-th harmonic voltage, Z, of the i-th measurement node ij The harmonic impedance between the jth harmonic source and the ith measurement node is represented by h, the harmonic frequency is represented by h, the number of the measurement nodes is represented by i =1,2, …, N; j denotes the number of harmonic sources, j =1,2, …, M.
In order to estimate a harmonic current matrix, obtaining a harmonic current estimation value matrix, converting a harmonic state equation (1) to obtain a harmonic state model, wherein the specific expression is (2):
wherein,
and
respectively an obtained harmonic voltage matrix, a harmonic current estimation value matrix and a separation coefficient matrix.
And substituting the harmonic voltage of each measurement node into the harmonic state model (2), analyzing based on an iteration method, and obtaining a harmonic current estimation value matrix, wherein the iteration expression is as follows:
wherein W is a preprocessed voltage data matrix after moving average filtering, f is a nonlinear function, k is the number of iterations, and Y k Is the separation coefficient matrix for the kth iteration.
S3: based on a joint entropy method, constructing a joint entropy matrix between harmonics with different times and harmonic sources according to harmonic voltages and harmonic times of each measurement node in a system and each harmonic current estimation value of each harmonic source, and specifically comprising the following steps:
obtaining the amplitude of the harmonic voltage of each measurement node and the amplitude of each harmonic current estimation value of each harmonic source;
combining the amplitude of the harmonic voltage of each measurement node and the amplitude of each harmonic current estimation value of each harmonic source to form a variable set;
and constructing a joint entropy matrix between the harmonic waves of different times and the harmonic wave source according to the variable set.
Aiming at the h-th harmonic current estimated value of the jth harmonic source and the harmonic voltage of the ith measuring node, obtaining the amplitude value of the h-th harmonic current estimated value of the jth harmonic source
Amplitude V of harmonic voltage with ith measurement node i And constitute a variable set of
Constructing the joint entropy expressed as formula (4):
wherein
Is the joint probability distribution value of the variable set, and L is the variable length. For simplicity of expression (4), its joint entropy value can be expressed as:
by joint entropy values
Form h harmonic and harmonicThe joint entropy matrix between the wave sources is of formula (5):
s4: and collecting the joint entropy matrixes between the harmonic waves of different times and the harmonic wave sources to obtain a joint entropy matrix set.
For all the harmonics of the order considered in the system, the set of joint entropy matrices formed is S 1 ，S 2 ，…，S H The method is as follows:
s5: and analyzing the joint entropy matrix set, the harmonic times, the harmonic source number and the measurement node number through a multi-harmonic source positioning algorithm to obtain a harmonic source positioning result, wherein when the joint entropy values of all the joint entropy matrices corresponding to a certain measurement node are smaller than a set value, the node is the harmonic source positioning result.
The method specifically comprises the following steps:
1) To a set of joint entropy matrices { S 1 ，S 2 ，…，S H Input in the (b): s 1 ，S 2 ，…，S H ，M，N，H。
2) And (3) circulation 1: suppose i =1, …, M
3) And (3) circulation 2: suppose j =1, …, N
4) And (3) circulation: suppose H =1, …, H
5) If all harmonic times are combined with entropy
Are all less than a set threshold lambda thr If the node is the ith node, determining the ith node as a high-probability harmonic source injection node; otherwise, the node is low-probability harmonic injection.
6) Loop 3 is ended.
7) And 4, circulation: suppose H =1, …, H-1
8) If all harmonic times are combined with entropy
Are all less than a set threshold lambda thr If so, determining the ith node as a medium probability harmonic source injection node; otherwise, the node is injected into the harmonic wave with low probability
9) Loop 4 is ended.
10 End cycles 1 and 2.
11 Output high probability harmonic source injection node dataset K HS The results are located for the harmonic source.
The multi-harmonic source positioning method based on joint entropy disclosed by the embodiment is verified. The single-line wiring diagram shown in fig. 2 is constructed, three different harmonic sources of office class, residential class and commercial class are selected and respectively connected to the nodes 9, 20 and 36, and in order to verify that the method provided by the embodiment can accurately locate the harmonic sources under the harmonic time-varying condition, the three harmonic sources are selected as harmonic injection systems at two different times, and the harmonic spectrums are shown in the following table.
At the two different moments, the joint entropy calculated based on the method for positioning the harmonic source provided by the present invention can accurately position the harmonic sources of three different nodes in the system, namely nodes 9, 20 and 36, and the calculation result of the joint entropy is shown in fig. 3, where (a) in fig. 3 is a value where the harmonic is 12: positioning results of harmonic sources injected into the system at 00 hours; in fig. 3, (b) shows that the harmonic is 18: and positioning the result of the harmonic source injected into the system at 00 hours.
Therefore, the method for positioning the multiple harmonic sources based on the joint entropy can realize accurate and rapid positioning of the multiple harmonic sources by only using the measured harmonic voltage as an input quantity under the condition that the harmonic impedance and the topological structure of a system are not required to be known in advance, and can also find the position of an unknown harmonic source in the power system.
Example 2
In this embodiment, a joint entropy based multi-harmonic source positioning system is disclosed, which includes:
the data acquisition module is used for acquiring the number of harmonic sources in the system and the harmonic voltage of each measurement node;
the harmonic current estimation value acquisition module is used for acquiring the harmonic times and each harmonic current estimation value of each harmonic source through the harmonic voltage and harmonic state model of each measurement node;
the joint entropy matrix acquisition module is used for constructing a joint entropy matrix between harmonic waves of different times and the harmonic sources according to the harmonic voltage and the harmonic times of each measurement node in the system and each harmonic current estimation value of each harmonic source based on a joint entropy method;
the joint entropy matrix set acquisition module is used for collecting joint entropy matrixes between all harmonics with different times and harmonic sources to obtain a joint entropy matrix set;
and the harmonic source positioning module is used for obtaining a harmonic source positioning result through the joint entropy matrix set, the harmonic times, the number of the harmonic sources and the number of the measurement nodes.
Example 3
In this embodiment, an electronic device is disclosed, which comprises a memory and a processor, and computer instructions stored in the memory and executed on the processor, wherein when the computer instructions are executed by the processor, the steps of the joint entropy-based multi-harmonic source positioning method disclosed in embodiment 1 are completed.
Example 4
In this embodiment, a computer-readable storage medium is disclosed for storing computer instructions that, when executed by a processor, perform the steps described in a joint entropy based multi-harmonic source localization method disclosed in embodiment 1.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting the same, and although the present invention is described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: modifications and equivalents may be made to the embodiments of the invention without departing from the spirit and scope of the invention, which is to be covered by the claims.
Claims (10)
1. A multi-harmonic source positioning method based on joint entropy is characterized by comprising the following steps:
acquiring the number of harmonic sources in the system and harmonic voltages of each measurement node;
obtaining harmonic times and each harmonic current estimation value of each harmonic source through a harmonic voltage and harmonic state model of each measurement node;
constructing a joint entropy matrix between harmonics with different times and harmonic sources according to harmonic voltage and harmonic times of each measurement node in the system and each harmonic current estimation value of each harmonic source based on a joint entropy method;
collecting the joint entropy matrixes between all harmonics with different times and harmonic sources to obtain a joint entropy matrix set;
and obtaining a harmonic source positioning result through the joint entropy matrix set, the harmonic times, the number of the harmonic sources and the number of the measurement nodes.
2. The joint entropy-based multi-harmonic source positioning method according to claim 1, wherein harmonic voltages of the measurement nodes are preprocessed to obtain preprocessed voltages of the measurement nodes;
and obtaining the harmonic times and each harmonic current estimation value of each harmonic source according to the voltage and harmonic state model after pretreatment of each measurement node.
3. The method as claimed in claim 1, wherein the harmonic frequency and each harmonic current estimation value of each harmonic source are obtained based on an iterative principal component analysis method based on a harmonic voltage and harmonic state model of each measurement node.
4. The joint entropy-based multi-harmonic source positioning method of claim 1, wherein the harmonic state model is constructed by:
for the h harmonic, establishing a harmonic state equation, wherein the specific expression is (1):
wherein,
an estimated value of the h harmonic current characterizing the j harmonic source,
for obtaining the h-th harmonic voltage, Z, of the i-th measurement node ij The harmonic impedance between the jth harmonic source and the ith measurement node is represented by h, the harmonic frequency is represented by h, the number of the measurement nodes is represented by i =1,2, …, N; j represents the number of harmonic sources, j =1,2, …, M;
converting the harmonic state equation (1) to obtain a harmonic state model, wherein the specific expression is (2):
wherein,
and
respectively an obtained harmonic voltage matrix, a harmonic current estimation value matrix and a separation coefficient matrix.
5. The method for locating the multi-harmonic source based on the joint entropy as claimed in claim 1, wherein the construction process of the joint entropy matrix between the harmonic source of different times and the harmonic source is as follows:
obtaining the amplitude of the harmonic voltage of each measurement node and the amplitude of each harmonic current estimation value of each harmonic source;
combining the amplitude of the harmonic voltage of each measurement node and the amplitude of each harmonic current estimation value of each harmonic source to form a variable set;
and constructing a joint entropy matrix between the harmonic waves of different times and the harmonic wave source according to the variable set.
6. A joint entropy based multi-harmonic source localization method according to claim 1, wherein the obtained joint entropy matrix set { S } 1 ，S 2 ，…，S H The method is as follows:
7. The method as claimed in claim 1, wherein when the joint entropy values of all joint entropy matrices corresponding to a certain measurement node are smaller than a set value, the node is a harmonic source positioning result.
8. A joint entropy based multi-harmonic source localization system, comprising:
the data acquisition module is used for acquiring the number of harmonic sources in the system and the harmonic voltage of each measurement node;
the harmonic current estimation value acquisition module is used for acquiring harmonic times and each harmonic current estimation value of each harmonic source through the harmonic voltage and harmonic state model of each measurement node;
the joint entropy matrix acquisition module is used for constructing a joint entropy matrix between harmonic waves of different times and harmonic sources according to the harmonic voltage and the harmonic times of each measurement node in the system and each harmonic current estimation value of each harmonic source based on a joint entropy method;
the joint entropy matrix set acquisition module is used for collecting joint entropy matrixes between all harmonics with different times and harmonic sources to obtain a joint entropy matrix set;
and the harmonic source positioning module is used for obtaining a harmonic source positioning result through the joint entropy matrix set, the harmonic times, the number of the harmonic sources and the number of the measurement nodes.
9. An electronic device comprising a memory and a processor, and computer instructions stored on the memory and executed on the processor, wherein the computer instructions, when executed by the processor, perform the steps of a joint entropy based multiple harmonic source localization method of any one of claims 1-7.
10. A computer readable storage medium storing computer instructions which, when executed by a processor, perform the steps of a joint entropy based multi-harmonic source localization method of any one of claims 1 to 7.
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