CN108918930A - Power signal self-adapting reconstruction method in a kind of load decomposition - Google Patents

Power signal self-adapting reconstruction method in a kind of load decomposition Download PDF

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CN108918930A
CN108918930A CN201811055290.4A CN201811055290A CN108918930A CN 108918930 A CN108918930 A CN 108918930A CN 201811055290 A CN201811055290 A CN 201811055290A CN 108918930 A CN108918930 A CN 108918930A
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power
power signal
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signal sequence
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CN108918930B (en
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翟明岳
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Guangdong University of Petrochemical Technology
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    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R11/00Electromechanical arrangements for measuring time integral of electric power or current, e.g. of consumption

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Abstract

The present invention provides power signal self-adapting reconstruction method in a kind of load decomposition, can reconstruct the power signal sequence for generating not missing data.The method includes:Power signal sequence is acquired, power matrix is converted into;According to the power matrix being converted to, transformation operator matrix is constructed;Construct calculation matrix;Determine reconstruction weights, according to the calculation matrix of obtained transformation operator matrix, reconstruction weights and building, iteration updates power matrix, until current iteration number is equal to the length of power signal sequence;Currently available power matrix is converted, the power signal sequence of not missing data is generated.The present invention relates to power domains.

Description

Power signal self-adapting reconstruction method in a kind of load decomposition
Technical field
The present invention relates to power domain, power signal self-adapting reconstruction method in a kind of load decomposition is particularly related to.
Background technique
Load decomposition (is referred to as:Energy Decomposition) it is that the performance number that will be read at ammeter is decomposed into single load and is disappeared The performance number of consumption, as shown in Figure 1, wherein the data in Fig. 1 are analogue data, non-measured data.
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.
Current power load decomposition is broadly divided into two methods of intrusive load decomposition and non-intrusion type load decomposition.It is non-to invade Enter formula load decomposition method not needing that monitoring device is installed in the power inside equipment of load, it is only necessary to total according to power load Information can be obtained the information on load of each electrical equipment.Non-intrusion type load decomposition method has less investment, convenient to use etc. Feature, therefore, this method are suitable for the decomposition of family's load electricity consumption.
For power data used in non-intrusion type load decomposition method from the reading of intelligent electric meter, intelligent electric meter is general It is mounted at household electricity service wire, to detect total electricity used in domestic consumer.Since load decomposition belongs to typical owe Determine problem (i.e.:Equation number is far smaller than the number of known variables), so the completeness of data seems especially in load decomposition It is important.But the real data from intelligent electric meter may have missing (for example, intelligent electric meter failure, communication failure, data receiver Plant failure etc. will cause the missing of data), there are the data of missing that can further deteriorate the solution of underdetermined problem, causes to bear Lotus decomposition result has biggish error.
Summary of the invention
The technical problem to be solved in the present invention is to provide power signal self-adapting reconstruction methods in a kind of load decomposition, with solution Certainly present in the prior art the problem of intelligent electric meter shortage of data.
In order to solve the above technical problems, the embodiment of the present invention provides power signal self-adapting reconstruction side in a kind of load decomposition Method, including:
Power signal sequence is acquired, power matrix is converted into;
According to the power matrix being converted to, transformation operator matrix is constructed;
Construct calculation matrix;
Determine reconstruction weights, according to the calculation matrix of obtained transformation operator matrix, reconstruction weights and building, iteration updates Power matrix, until current iteration number is equal to the length of power signal sequence;
Currently available power matrix is converted, the power signal sequence of not missing data is generated.
Further, the acquisition power signal sequence, being converted into power matrix includes:
Acquire power signal sequence pori=[P1,P2,…,PN], wherein N is the length of power signal sequence;
According to the precedence of power signal sequence, power signal sequence is divided into NRSection, every section contains NCA data,Wherein, symbolIt is rounded in expression;
If N<NR×NC, then by the insufficient part zero padding of final stage;
It is the form of matrix by the data permutation after segmentation, one piece of data is a line, obtains power matrix
Further, the power matrix that the basis is converted to, building transformation operator matrix include:
By power matrixBe converted to 2D signal;
Determine the signal transformation operator of 2D signal;
It translates the signals into operator and is converted to matrix form, obtain transformation operator matrix.
Further, the 2D signal obtained after conversion is:
nr=1,2 ..., NR
nc=1,2 ..., NC
Wherein,Indicate 2D signal,Indicate power matrixN-thrRow, n-thcColumn element.
Further, signal transformation operator is expressed as:
Wherein,Indicate signal transformation operator,Indicate parameter;ForDomain In weighting function, independent variable isForWeighting function in domain, independent variable areSubscript i indicates imaginary number Unit.
Further, transformation operator matrix is expressed as:
Wherein, D indicates transformation operator matrix;FormulaIt indicates in transformation operator matrix D, N-thrRow, n-thcThe element of column isD is NR×NCTie up matrix.
Further, the form of the calculation matrix of building is:
Wherein, R indicates calculation matrix;I is unit matrix;0 is null matrix.
Further, the determining reconstruction weights, according to the measurement of obtained transformation operator matrix, reconstruction weights and building Matrix, iteration update power matrix, until the length that current iteration number is equal to power signal sequence includes:
Power matrix is updated by power matrix iterative formula iteration, until current iteration number is equal to power signal sequence Length N when terminate iteration, obtain the power matrix of not missing dataWherein, power matrix iterative formula table It is shown as:
Wherein,Indicate the power matrix that kth time iteration obtains;Indicate the power matrix that -1 iteration of kth obtains;α is indicated Reconstruction weights;Indicate threshold operator;It indicates to matrix In all elements carry out threshold operation;xijRepresenting matrixThe i-th row, jth column element;σmax It indicatesThe maximum value of middle all elements absolute value;σminIt indicatesThe minimum value of middle all elements absolute value.
Further, described to convert currently available power matrix, generate the power signal of not missing data Sequence includes:
The matrix P that will be obtainedrecThe first row data as first segment, the second row data as second segment, and so on, Last line data connect these sections as final stage in sequence, and intercept one number of N number of data composition of front According to sequence, this data sequence is exactly the power signal sequence of not missing data.
Above-mentioned technical proposal of the invention has the beneficial effect that:
In above scheme, power signal sequence is acquired, power matrix is converted into;According to the power square being converted to Battle array constructs transformation operator matrix;Construct calculation matrix;Reconstruction weights are determined, according to obtained transformation operator matrix, reconstruction weights With the calculation matrix of building, iteration updates power matrix, until current iteration number is equal to the length of power signal sequence;It will work as Before obtained power matrix converted, the power signal sequence of not missing data is generated, so that intelligent electric meter be reconfigured quickly Data solve the problems, such as intelligent electric meter shortage of data.
Detailed description of the invention
Fig. 1 is load decomposition diagram;
Fig. 2 is the flow diagram of power signal self-adapting reconstruction method in load decomposition provided in an embodiment of the present invention;
Fig. 3 is the detailed process signal of power signal self-adapting reconstruction method in load decomposition provided in an embodiment of the present invention Figure;
Fig. 4 is data sectional provided in an embodiment of the present invention and matrix arrangement schematic diagram.
Specific embodiment
To keep the technical problem to be solved in the present invention, technical solution and advantage clearer, below in conjunction with attached drawing and tool Body embodiment is described in detail.
It is adaptive to provide power signal in a kind of load decomposition aiming at the problem that existing intelligent electric meter shortage of data by the present invention Answer reconstructing method.
As shown in Fig. 2, power signal self-adapting reconstruction method in load decomposition provided in an embodiment of the present invention, including:
S101 acquires power signal sequence, is converted into power matrix;
S102 constructs transformation operator matrix according to the power matrix being converted to;
S103 constructs calculation matrix;
S104 determines reconstruction weights, according to the calculation matrix of obtained transformation operator matrix, reconstruction weights and building, repeatedly In generation, updates power matrix, until current iteration number is equal to the length of power signal sequence;
S105 converts currently available power matrix, generates the power signal sequence of not missing data.
Power signal self-adapting reconstruction method in load decomposition described in the embodiment of the present invention acquires power signal sequence, It is converted into power matrix;According to the power matrix being converted to, transformation operator matrix is constructed;Construct calculation matrix;It determines Reconstruction weights, according to the calculation matrix of obtained transformation operator matrix, reconstruction weights and building, iteration updates power matrix, directly It is equal to the length of power signal sequence to current iteration number;Currently available power matrix is converted, is generated without lacking The power signal sequence for losing data solves the problems, such as intelligent electric meter shortage of data so that intelligent electric meter data be reconfigured quickly.
Power signal self-adapting reconstruction method in load decomposition described in embodiment for a better understanding of the present invention, to it It is described in detail, as shown in figure 3, power signal self-adapting reconstruction method can specifically include following step in the load decomposition Suddenly:
A1 acquires power signal sequence
Acquire power signal sequence pori=[P1,P2,…,PN], wherein N is the length of power signal sequence, wherein function Rate signal sequence is alternatively referred to as power data sequence.
A2, by power signal sequence pori=[P1,P2,…,PN] carry out segmentation and be by the data permutation after segmentation One power matrix P, data sectional and matrix arrangement are as shown in Figure 4.
Power signal sequence is divided into N according to the precedence of power signal sequence by A21RSection, every section contains NCNumber According to,Wherein, symbolIt is rounded in expression, for example,The purpose for the arrangement is that all Data be involved in operation, do not give up data.
Under normal circumstances, NR=256 or 512 or 1024, in practical applications, NRValue determined by practical application scene.
A22, if N<NR×NC, then by the insufficient part zero padding of final stage.
Data permutation after segmentation is the form of matrix by A23, and one piece of data is a line, so power matrix P is total There is NRRow, NCColumn, power matrix P can be expressed as
A3, by power matrixBe converted to 2D signal
nr=1,2 ..., NR
nc=1,2 ..., NC
Wherein,Indicate 2D signal,Indicate power matrixN-thrRow, n-thcColumn element.
A4 determines 2D signalSignal transformation operator
Signal transformation operatorIt is expressed as:
Wherein,Indicate parameter;ForWeighting function in domain, independent variable areGeneral feelings It can choose Gaussian function under condition;ForWeighting function in domain, independent variable areSubscript i indicates imaginary number list Position.
A5 constructs transformation operator matrix D
Translate the signals into operatorBe converted to matrix form:
Wherein,It indicates in transformation operator matrix D, n-thrRow, n-thcThe element of column isTherefore, matrix D NR×NCTie up matrix.
A6 constructs calculation matrix R
The general type of calculation matrix R can be expressed as:
Wherein, I is unit matrix, indicates the section of not shortage of data;0 is null matrix, indicates the section of shortage of data.
In the present embodiment, the value of calculation matrix is determined by power matrix, it is assumed that the 2nd row the 3rd arranges in power matrix Data have missing, then in calculation matrix the 3rd column element of the 2nd row be 0, be otherwise 1.
A7, interative computation
Assuming that currently carry out kth time iteration, the power matrix obtained in k times isIn upper primary (i.e. kth -1 time) institute Obtained power matrix isK=1,2 ..., N, and order matrix
A71 determines power matrix
It determines reconstruction weights, according to the calculation matrix of obtained transformation operator matrix, reconstruction weights and building, updates power MatrixFor:
Wherein, α indicates reconstruction weights,Threshold operator is indicated, for carrying out threshold value to the data in bracket Operation;It indicates to matrix(wherein, productA matrix) in all elements carry out threshold operation, threshold operation is to matrixIn element one by one carry out;xijRepresenting matrix The i-th row, jth column element;σmaxIt indicatesThe maximum value of middle all elements absolute value;σminIt indicatesMiddle all elements absolute value Minimum value.
A72, judges whether current iteration number is equal to the length N of power signal sequence, if k=N, iteration ends, Obtain the power matrix of not missing dataEnter step A8;Otherwise, k=k+1 return step A71 continues iteration.
A8 rearranges data, by the power matrix P of obtained not missing datarecPower signal sequence is converted to, Obtain the power signal sequence of not missing data
The matrix P that will be obtainedrecThe first row data as first segment, the second row data as second segment, and so on, Last line data connect these sections as final stage in sequence, and intercept one number of N number of data composition of front According to sequence, this data sequence is exactly the power signal sequence of not missing data, as required.
Power signal self-adapting reconstruction method in load decomposition described in the embodiment of the present invention can effectively restore missing Power signal.If 20% of the power signal sequence deletion of acquisition no more than total data, the signal sequence that this algorithm is restored, Its error is no more than 3.5%.And power signal self-adapting reconstruction method is adopted in the load decomposition as described in the embodiment of the present invention With iterative manner, calculate simple and quick.
It should be noted that, in this document, relational terms such as first and second and the like are used merely to a reality Body or operation are distinguished with another entity or operation, are deposited without necessarily requiring or implying between these entities or operation In any actual relationship or order or sequence.
The above is a preferred embodiment of the present invention, it is noted that for those skilled in the art For, without departing from the principles of the present invention, several improvements and modifications can also be made, these improvements and modifications It should be regarded as protection scope of the present invention.

Claims (9)

1. power signal self-adapting reconstruction method in a kind of load decomposition, which is characterized in that including:
Power signal sequence is acquired, power matrix is converted into;
According to the power matrix being converted to, transformation operator matrix is constructed;
Construct calculation matrix;
Determine reconstruction weights, according to the calculation matrix of obtained transformation operator matrix, reconstruction weights and building, iteration updates power Matrix, until current iteration number is equal to the length of power signal sequence;
Currently available power matrix is converted, the power signal sequence of not missing data is generated.
2. power signal self-adapting reconstruction method in load decomposition according to claim 1, which is characterized in that the acquisition Power signal sequence, being converted into power matrix includes:
Acquire power signal sequence pori=[P1,P2,…,PN], wherein N is the length of power signal sequence;
According to the precedence of power signal sequence, power signal sequence is divided into NRSection, every section contains NCA data,Wherein, symbolIt is rounded in expression;
If N<NR×NC, then by the insufficient part zero padding of final stage;
It is the form of matrix by the data permutation after segmentation, one piece of data is a line, obtains power matrix
3. power signal self-adapting reconstruction method in load decomposition according to claim 2, which is characterized in that the basis The power matrix being converted to, building transformation operator matrix include:
By power matrixBe converted to 2D signal;
Determine the signal transformation operator of 2D signal;
It translates the signals into operator and is converted to matrix form, obtain transformation operator matrix.
4. power signal self-adapting reconstruction method in load decomposition according to claim 3, which is characterized in that after conversion To 2D signal be:
nr=1,2 ..., NR
nc=1,2 ..., NC
Wherein,Indicate 2D signal,Indicate power matrixN-thrRow, n-thcColumn element.
5. power signal self-adapting reconstruction method in load decomposition according to claim 4, which is characterized in that signal transformation Operator representation is:
Wherein,Indicate signal transformation operator,Indicate parameter;ForIn domain Weighting function, independent variable are ForWeighting function in domain, independent variable areSubscript i indicates imaginary number list Position.
6. power signal self-adapting reconstruction method in load decomposition according to claim 5, which is characterized in that transformation operator Matrix is expressed as:
Wherein, D indicates transformation operator matrix;FormulaIt indicates in transformation operator matrix D, n-thr Row, n-thcThe element of column isD is NR×NCTie up matrix.
7. power signal self-adapting reconstruction method in load decomposition according to claim 6, which is characterized in that the survey of building The form of moment matrix is:
Wherein, R indicates calculation matrix;I is unit matrix;0 is null matrix.
8. power signal self-adapting reconstruction method in load decomposition according to claim 7, which is characterized in that the determination Reconstruction weights, according to the calculation matrix of obtained transformation operator matrix, reconstruction weights and building, iteration updates power matrix, directly To current iteration number be equal to power signal sequence length include:
Power matrix is updated by power matrix iterative formula iteration, until current iteration number is equal to the length of power signal sequence Iteration is terminated when spending N, obtains the power matrix of not missing dataWherein, power matrix iterative formula is expressed as:
Wherein,Indicate the power matrix that kth time iteration obtains;Indicate the power matrix that -1 iteration of kth obtains;α indicates weight Structure weight;Indicate threshold operator;It indicates to matrix In all elements carry out threshold operation;xijRepresenting matrixThe i-th row, jth column element; σmaxIt indicatesThe maximum value of middle all elements absolute value;σminIt indicatesThe minimum value of middle all elements absolute value.
9. power signal self-adapting reconstruction method in load decomposition according to claim 8, which is characterized in that described to work as Before obtained power matrix converted, the power signal sequence for generating not missing data includes:
The matrix P that will be obtainedrecThe first row data as first segment, the second row data as second segment, and so on, finally Data line connects these sections as final stage in sequence, and the N number of data for intercepting front form a data sequence Column, this data sequence is exactly the power signal sequence of not missing data.
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