CN109902961A - The multi-scale filtering method and system filtered for power signal in Energy Decomposition - Google Patents
The multi-scale filtering method and system filtered for power signal in Energy Decomposition Download PDFInfo
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Abstract
The invention discloses a kind of multi-scale filtering method and system filtered for power signal in Energy Decomposition, the projection having compared with fractional value are deleted by the way that suitable threshold value is arranged, so as to filter out noise in generating function domain.The ambient noise in power signal can be effective filtered out using multi-scale filtering method and system of the present invention, the especially noise (containing impulsive noise) of non-stationary non-gaussian type, filtering method is simple and has faster calculating speed, solves the problems, such as that existing power signal filter is poor to the noise filtering effect of non-stationary non-gaussian type.
Description
Technical field
The present invention relates to power signal technical field of filtering, filter more particularly to one kind for power signal in Energy Decomposition
The multi-scale filtering method and system of wave.
Background technique
With the development of smart grid, the analysis of household electricity load is become more and more important.Pass through point of power load
Analysis, domestic consumer can obtain the power information of each electric appliance and the fining inventory of the electricity charge in time；Power department can obtain
More detailed user power utilization information is obtained, and the accuracy of electro-load forecast can be improved, provides overall planning for power department
Foundation.Meanwhile using the power information of each electric appliance, would know that the electricity consumption behavior of user, this for family's energy consumption assessment and
The research of Energy Saving Strategy has directive significance.
The Energy Decomposition of power grid refers to that the performance number that will be read at ammeter is decomposed into performance number consumed by single load.It is negative
Load switch event refers to the movement opening load (electrical equipment) power switch or turning off the power switch.Load switch event detection
At the time of being a step mostly important in Energy Decomposition, should detect event, while also can determine that event occurs.But
The precision of switch events detection is affected by noise in power signal (power sequence), especially with non-linear electric appliance
Using and it is universal (such as fruit juice mixer, coffee machine and soy bean milk making machine etc. using motor), occur in ambient noise more and more
The instantaneous power of impulsive noise, this noise like is very big, shows more apparent non-stationary and non-Gaussian feature, further shadow
Event detection accuracy is rung.It therefore, is a very important step in switch events detection, common power to power signal filtering
Signal noise removing method is low-pass filter and median filter.However, common low-pass filter and median filter exist
It is difficult to reach ideal filter effect in the strong noise environment of the non-stationary and non-gaussian that are more and more obvious, has seriously affected switch
The detection of event.
Summary of the invention
The object of the present invention is to provide a kind of multi-scale filtering method filtered for power signal in Energy Decomposition and it is
System, to solve the problems, such as that existing power signal filter is poor to the noise filtering effect of non-stationary non-gaussian type.
To achieve the above object, the present invention provides following schemes:
A kind of multi-scale filtering method filtered for power signal in Energy Decomposition, which comprises
Obtain the power signal sequence of actual measurement；
The power signal sequence is converted into matrix form, generates power signal matrix；
According to the power signal matrix original generating function matrix；
Projection matrix of the power signal under generating function is sought according to the power signal matrix and the generating function matrix；
The element in the projection matrix is filtered according to preset threshold, generates filtered power signal square
Battle array；
It is filtered power signal sequence by the filtered power signal matrix conversion.
Optionally, described according to the power signal matrix original generating function matrix, it specifically includes:
The Discrete Fourier Transform of basic function is sought according to the power signal matrix；
The discrete value of basic function is sought according to the Discrete Fourier Transform of the basic function；
The discrete value of generating function is sought according to the discrete value of the basic function；
The discrete value of the generating function is converted into matrix form, original generating function matrix.
Optionally, described that power signal is sought under generating function according to the power signal matrix and the generating function matrix
Projection matrix, specifically include:
The power signal matrix and the generating function matrix are done into point multiplication operation, obtain power signal under generating function
Projection matrix.
Optionally, described that the element in the projection matrix is filtered according to preset threshold, after generating filtering
Power signal matrix, specifically include:
Judge the element that the i-th row jth arranges in the projection matrixWhether it is less than the preset threshold, obtains the
One judging result；
If first judging result is the elementLess than the preset threshold, the element is enabledNew matrix after generating threshold decision；
The filtered power signal matrix is generated according to the new matrix after the threshold decision.
Optionally, the new matrix according to after the threshold decision generates the filtered power signal matrix, tool
Body includes:
Using formulaBy the i-th row in the new matrix after the threshold decision
The element of jth columnBe converted to the element P that the i-th row jth arranges in the filtered power signal matrixij, generate institute
State filtered power signal matrix P1=[Pij]。
A kind of multi-scale filtering system filtered for power signal in Energy Decomposition, the system comprises:
Measured data obtains module, for obtaining the power signal sequence of actual measurement；
Matrix conversion module generates power signal matrix for the power signal sequence to be converted to matrix form；
Generating function matrix generation module, for according to the power signal matrix original generating function matrix；
Projection matrix seeks module, for seeking power signal according to the power signal matrix and the generating function matrix
Projection matrix under generating function；
Matrix filter module is generated for being filtered according to preset threshold to the element in the projection matrix
Filtered power signal matrix；
Signal conversion module, for being filtered power signal sequence by the filtered power signal matrix conversion
Column.
Optionally, the generating function matrix generation module specifically includes:
Discrete Fourier transform unit, the discrete Fourier for seeking basic function according to the power signal matrix become
It changes；
Inverse-Fourier transform unit, for seeking the discrete of basic function according to the Discrete Fourier Transform of the basic function
Value；
Generating function discrete value seeks unit, for seeking the discrete value of generating function according to the discrete value of the basic function；
Generating function matrix conversion unit, for the discrete value of the generating function to be converted to matrix form, original generating function
Matrix.
Optionally, the projection matrix is sought module and is specifically included:
Projection matrix seeks unit, for the power signal matrix and the generating function matrix to be done point multiplication operation, obtains
To projection matrix of the power signal under generating function.
Optionally, the matrix filter module specifically includes:
Threshold decision unit, for judging the element of the i-th row jth column in the projection matrixWhether it is less than
The preset threshold obtains the first judging result；
New matrix generation unit, if being the element for first judging resultIt is default less than described
Threshold value enables the elementNew matrix after generating threshold decision；
Power signal matrix generation unit after filtering, for generating the filtering according to the new matrix after the threshold decision
Power signal matrix afterwards.
Optionally, power signal matrix generation unit specifically includes after the filtering:
Power signal matrix generates subelement after filtering, for using formula
The element that i-th row jth in new matrix after the threshold decision is arrangedBe converted to the filtered power signal
The element P that the i-th row jth arranges in matrixij, generate the filtered power signal matrix P1=[Pij]。
The specific embodiment provided according to the present invention, the invention discloses following technical effects:
The present invention provides a kind of multi-scale filtering method and system filtered for power signal in Energy Decomposition, by setting
It sets suitable threshold value and deletes the projection having compared with fractional value, so as to filter out noise in generating function domain.Using present invention side
Method and system can effective filter out the noise of the ambient noise in power signal, especially non-stationary non-gaussian type (containing arteries and veins
Rush noise), filtering method is simple and has faster calculating speed.
Detailed description of the invention
It in order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, below will be to institute in embodiment
Attached drawing to be used is needed to be briefly described, it should be apparent that, the accompanying drawings in the following description is only some implementations of the invention
Example, for those of ordinary skill in the art, without any creative labor, can also be according to these attached drawings
Obtain other attached drawings.
Fig. 1 is the flow chart of the multi-scale filtering method filtered provided by the present invention for power signal in Energy Decomposition；
Fig. 2 is the implementation process of the multi-scale filtering method filtered provided by the present invention for power signal in Energy Decomposition
Schematic diagram；
Fig. 3 is the data sectional and matrix arrangement schematic diagram of power signal matrix provided by the invention；
Fig. 4 is the structural representation of the multi-scale filtering system filtered provided by the present invention for power signal in Energy Decomposition
Figure.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
The object of the present invention is to provide a kind of multi-scale filtering method filtered for power signal in Energy Decomposition and it is
System, to solve the problems, such as that existing power signal filter is poor to the noise filtering effect of non-stationary non-gaussian type.
In order to make the foregoing objectives, features and advantages of the present invention clearer and more comprehensible, with reference to the accompanying drawing and specific real
Applying mode, the present invention is described in further detail.
Fig. 1 is the flow chart of the multi-scale filtering method filtered provided by the present invention for power signal in Energy Decomposition,
Fig. 2 is the implementation process schematic diagram of the multi-scale filtering method filtered provided by the present invention for power signal in Energy Decomposition.
Referring to Fig. 1 and Fig. 2, the multi-scale filtering method filtered provided by the present invention for power signal in Energy Decomposition specifically includes:
Step 101: obtaining the power signal sequence of actual measurement.
Obtain the power signal sequence { P of actual measurement1,P2,...PN, Pk(1≤k≤N) is indicated in the power signal sequence
K-th actual measurement power signal, N be power signal sequence length.
Step 102: the power signal sequence being converted into matrix form, generates power signal matrix.
By the power signal sequence { P1,P2,...PNIn power signal data be segmented, and by the number after segmentation
According to a power signal matrix P is rearranged for, specifically include:
(1) by the power signal sequence { P1,P2,...PNIn all data be divided into NRSection, under normal circumstances, NR=
256 or 512 or 1024.
(2) be segmented according to data precedence: every section contains NCA data.Wherein symbolIn expression
It is rounded.Such asThe purpose for the arrangement is that data all in power signal sequence is made to be involved in fortune
It calculates, does not give up data.
(3) if N < NR×NC, then by insufficient part zero padding, i.e., N is filled into final stage data endR×NCIt is N number of
Zero, the data after segmentation after supplying are NR×NCIt is a.
(4) by the N after segmentationR×NCA data are rearranged for the form of matrix, and one piece of data is a line, therefore the function
Rate signal matrix P shares NRRow, NCColumn.Data sectional and matrix arrangement mode as shown in figure 3, the power signal matrix P
One row element is the power signal sequence { P1,P2,...PNIn the 1st to NCA power signal data { P1,P2,
...PNC, and so on, the power signal matrix P shares NRRow, NCColumn data.
Step 103: according to the power signal matrix original generating function matrix.
The step 103 is specifically included according to the power signal matrix original generating function matrix:
1) Discrete Fourier Transform of basic function is sought according to the power signal matrix.
Basic functionDiscrete Fourier TransformIt is as follows:
Wherein:
Z indicates all integers
K is the element in set Z, i.e., all integers.
2) discrete value of basic function is sought according to the Discrete Fourier Transform of the basic function.
Defined functionInverse-Fourier transform be basic function.In the present invention, function is first sought
Then its inverse-Fourier transform is sought again, and is defined as basic function
The discrete value of basic function is sought according to the Discrete Fourier Transform of the basic function:
Wherein IFFT (Inverse Fast Fourier Transform) indicates inverse Fourier transform or inverse-Fourier
Transformation, parameterAs in formula (1)
3) discrete value of generating function is sought according to the discrete value of the basic function.
The discrete value ψ of generating function is sought using following formula (3)lmij:
Wherein
4) discrete value of the generating function is converted into matrix form, original generating function matrix.
By the discrete value ψ of generating functionlmijBe converted to matrix form:
Wherein generating function matrix ΓlmThe i-th row jth column element be ψlmij。
Step 104: power signal is sought under generating function according to the power signal matrix and the generating function matrix
Projection matrix.
The power signal matrix and the generating function matrix are done into point multiplication operation, obtain power signal under generating function
Projection matrix:
WhereinFor projection of the power signal under generating function.
Step 105: the element in the projection matrix being filtered according to preset threshold, generates filtered function
Rate signal matrix.It specifically includes:
1. calculating threshold value λlm:
Wherein median [ψlmij] indicate that variable l and m are fixed, the ψ in the case where i j takes all valueslmijIntermediate value.
2. traversing the projection matrixIn all elements, and judge the projection matrixIn the i-th row jth column
ElementWhether the preset threshold is less than, ifAny one of element be less than preset threshold λlm, then
Enabling this element is 0.New matrix after obtaining threshold decision after so handlingNew matrixThe i-th row jth column
Element representation is
According to the new matrix after the threshold decisionGenerate the filtered power signal matrix P1:
WhereinFor the new matrix after the threshold decisionIn the i-th row jth column element, PijFor the filter
Power signal matrix P after wave1In the i-th row jth column element.
Step 106: being filtered power signal sequence by the filtered power signal matrix conversion.
By the filtered power signal matrix P1The first row data as first segment, the 2nd row data are as second
Section, and so on, last line data connect these sections as final stage in sequence, and intercept the N number of of front
Data form a data sequence, this data sequence is exactly the power signal filtered out after ambient noise (especially flash noise)
Sequence, i.e., the described filtered power signal sequence.
Projection of the power signal (showing as jump function) in multiple dimensioned generating function is larger, and ambient noise (contains pulse
Noise) projection in multiple dimensioned generating function is smaller, and according to this difference, multi-scale filtering algorithm provided by the invention is by setting
It sets suitable threshold value and deletes the projection having compared with fractional value, so as to filter out noise in generating function domain.Therefore this hair is used
Bright multi-scale filtering method can effective filter out the ambient noise in power signal, especially non-stationary non-gaussian type
Noise (contains impulsive noise), and has faster calculating speed, and structure is simple.
Based on multi-scale filtering method provided by the invention, the present invention also provides one kind for power signal in Energy Decomposition
The multi-scale filtering system of filtering.Fig. 4 is the multi-scale filtering filtered provided by the present invention for power signal in Energy Decomposition
The structural schematic diagram of system, referring to fig. 4, the system comprises:
Measured data obtains module 401, for obtaining the power signal sequence of actual measurement；
Matrix conversion module 402 generates power signal square for the power signal sequence to be converted to matrix form
Battle array；
Generating function matrix generation module 403, for according to the power signal matrix original generating function matrix；
Projection matrix seeks module 404, for seeking power according to the power signal matrix and the generating function matrix
Projection matrix of the signal under generating function；
Matrix filter module 405, it is raw for being filtered according to preset threshold to the element in the projection matrix
At filtered power signal matrix；
Signal conversion module 406, for being filtered power signal by the filtered power signal matrix conversion
Sequence.
Wherein, the generating function matrix generation module 403 specifically includes:
Discrete Fourier transform unit, the discrete Fourier for seeking basic function according to the power signal matrix become
It changes；
Inverse-Fourier transform unit, for seeking the discrete of basic function according to the Discrete Fourier Transform of the basic function
Value；
Generating function discrete value seeks unit, for seeking the discrete value of generating function according to the discrete value of the basic function；
Generating function matrix conversion unit, for the discrete value of the generating function to be converted to matrix form, original generating function
Matrix.
The projection matrix is sought module 404 and is specifically included:
Projection matrix seeks unit, for the power signal matrix and the generating function matrix to be done point multiplication operation, obtains
To projection matrix of the power signal under generating function.
The matrix filter module 405 specifically includes:
Threshold decision unit, for judging the element of the i-th row jth column in the projection matrixWhether it is less than
The preset threshold obtains the first judging result；
New matrix generation unit, if being the element for first judging resultIt is default less than described
Threshold value enables the elementNew matrix after generating threshold decision；
Power signal matrix generation unit after filtering, for generating the filtering according to the new matrix after the threshold decision
Power signal matrix afterwards.
Power signal matrix generation unit specifically includes after the filtering:
Power signal matrix generates subelement after filtering, for using formulaIt will
The element that the i-th row jth arranges in new matrix after the threshold decisionBe converted to the filtered power signal square
The element P of i-th row jth column in battle arrayij, generate the filtered power signal matrix P1=[Pij]。
Each embodiment in this specification is described in a progressive manner, the highlights of each of the examples are with other
The difference of embodiment, the same or similar parts in each embodiment may refer to each other.For system disclosed in embodiment
For, since it is corresponded to the methods disclosed in the examples, so being described relatively simple, related place is said referring to method part
It is bright.
Used herein a specific example illustrates the principle and implementation of the invention, and above embodiments are said
It is bright to be merely used to help understand method and its core concept of the invention；At the same time, for those skilled in the art, foundation
Thought of the invention, there will be changes in the specific implementation manner and application range.In conclusion the content of the present specification is not
It is interpreted as limitation of the present invention.
Claims (10)
1. the multi-scale filtering method for power signal filtering in Energy Decomposition, which is characterized in that the described method includes:
Obtain the power signal sequence of actual measurement；
The power signal sequence is converted into matrix form, generates power signal matrix；
According to the power signal matrix original generating function matrix；
Projection matrix of the power signal under generating function is sought according to the power signal matrix and the generating function matrix；
The element in the projection matrix is filtered according to preset threshold, generates filtered power signal matrix；
It is filtered power signal sequence by the filtered power signal matrix conversion.
2. the multi-scale filtering method according to claim 1 for power signal filtering in Energy Decomposition, feature exist
In, it is described according to the power signal matrix original generating function matrix, it specifically includes:
The Discrete Fourier Transform of basic function is sought according to the power signal matrix；
The discrete value of basic function is sought according to the Discrete Fourier Transform of the basic function；
The discrete value of generating function is sought according to the discrete value of the basic function；
The discrete value of the generating function is converted into matrix form, original generating function matrix.
3. the multi-scale filtering method according to claim 1 for power signal filtering in Energy Decomposition, feature exist
In, it is described that projection matrix of the power signal under generating function is sought according to the power signal matrix and the generating function matrix,
It specifically includes:
The power signal matrix and the generating function matrix are done into point multiplication operation, obtain projection of the power signal under generating function
Matrix.
4. the multi-scale filtering method according to claim 1 for power signal filtering in Energy Decomposition, feature exist
In, it is described that the element in the projection matrix is filtered according to preset threshold, generate filtered power signal square
Battle array, specifically includes:
Judge the element that the i-th row jth arranges in the projection matrixWhether it is less than the preset threshold, obtains first and sentence
Disconnected result；
If first judging result is the elementLess than the preset threshold, the element is enabled
New matrix after generating threshold decision；
The filtered power signal matrix is generated according to the new matrix after the threshold decision.
5. the multi-scale filtering method according to claim 4 for power signal filtering in Energy Decomposition, feature exist
In, the new matrix according to after the threshold decision generates the filtered power signal matrix, it specifically includes:
Using formulaI-th row jth in new matrix after the threshold decision is arranged
ElementBe converted to the element P that the i-th row jth arranges in the filtered power signal matrixij, generate the filtering
Power signal matrix P afterwards1=[Pij]。
6. the multi-scale filtering system for power signal filtering in Energy Decomposition, which is characterized in that the system comprises:
Measured data obtains module, for obtaining the power signal sequence of actual measurement；
Matrix conversion module generates power signal matrix for the power signal sequence to be converted to matrix form；
Generating function matrix generation module, for according to the power signal matrix original generating function matrix；
Projection matrix seeks module, for seeking power signal in mother according to the power signal matrix and the generating function matrix
Projection matrix under function；
Matrix filter module generates filtering for being filtered according to preset threshold to the element in the projection matrix
Power signal matrix afterwards；
Signal conversion module, for being filtered power signal sequence by the filtered power signal matrix conversion.
7. the multi-scale filtering system according to claim 6 for power signal filtering in Energy Decomposition, feature exist
In the generating function matrix generation module specifically includes:
Discrete Fourier transform unit, for seeking the Discrete Fourier Transform of basic function according to the power signal matrix；
Inverse-Fourier transform unit, for seeking the discrete value of basic function according to the Discrete Fourier Transform of the basic function；
Generating function discrete value seeks unit, for seeking the discrete value of generating function according to the discrete value of the basic function；
Generating function matrix conversion unit, for the discrete value of the generating function to be converted to matrix form, original generating function matrix.
8. the multi-scale filtering system according to claim 6 for power signal filtering in Energy Decomposition, feature exist
In the projection matrix is sought module and specifically included:
Projection matrix seeks unit, for the power signal matrix and the generating function matrix to be done point multiplication operation, obtains function
Projection matrix of the rate signal under generating function.
9. the multi-scale filtering system according to claim 6 for power signal filtering in Energy Decomposition, feature exist
In the matrix filter module specifically includes:
Threshold decision unit, for judging the element of the i-th row jth column in the projection matrixWhether it is less than described pre-
If threshold value, the first judging result is obtained；
New matrix generation unit, if being the element for first judging resultLess than the preset threshold,
Enable the elementNew matrix after generating threshold decision；
Power signal matrix generation unit after filtering, it is described filtered for being generated according to the new matrix after the threshold decision
Power signal matrix.
10. the multi-scale filtering system according to claim 9 for power signal filtering in Energy Decomposition, feature exist
In power signal matrix generation unit specifically includes after the filtering:
Power signal matrix generates subelement after filtering, for using formulaIt will
The element that the i-th row jth arranges in new matrix after the threshold decisionBe converted to the filtered power signal square
The element P of i-th row jth column in battle arrayij, generate the filtered power signal matrix P1=[Pij]。
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| CN110299933A (en) * | 2019-06-29 | 2019-10-01 | 广东石油化工学院 | A kind of PLC signal filtering method and system based on signal expression |
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| CN108918927A (en) * | 2018-08-24 | 2018-11-30 | 广东石油化工学院 | Power signal filtering method and system in a kind of Energy Decomposition |
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| US6343111B1 (en) * | 2000-09-07 | 2002-01-29 | General Electric Company | Dual energy decomposition using automatically determined cancellation parameters |
| CN108918927A (en) * | 2018-08-24 | 2018-11-30 | 广东石油化工学院 | Power signal filtering method and system in a kind of Energy Decomposition |
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