CN107784015A - A kind of Data Reduction method based on the online historical data of power system - Google Patents

A kind of Data Reduction method based on the online historical data of power system Download PDF

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CN107784015A
CN107784015A CN201610771830.3A CN201610771830A CN107784015A CN 107784015 A CN107784015 A CN 107784015A CN 201610771830 A CN201610771830 A CN 201610771830A CN 107784015 A CN107784015 A CN 107784015A
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戴红阳
于之虹
张军
史东宇
杨超平
鲁广明
张爽
黄彦浩
高峰
邱健
田蓓
李伟
马军
严剑峰
马天东
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
State Grid Ningxia Electric Power Co Ltd
Electric Power Research Institute of State Grid Ningxia Electric Power Co Ltd
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China Electric Power Research Institute Co Ltd CEPRI
State Grid Ningxia Electric Power Co Ltd
Electric Power Research Institute of State Grid Ningxia Electric Power Co Ltd
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Abstract

The invention provides a kind of Data Reduction method based on the online historical data of power system, the method includes:I, raw data set is generated according to online historical data;II, feature extraction is carried out to raw data set;III, screening sample is carried out to raw data set.Technical scheme provided by the invention from the horizontal and vertical of data set while can carry out Data Reduction, especially in terms of screening sample, can screen out influences the noise sample of classification, and can screens out does not have contributive redundant samples to classification, therefore while classification accuracy is kept, space filling rate is greatly reduced again.

Description

A kind of Data Reduction method based on the online historical data of power system
Technical field
The invention belongs to power system big data analysis technical field, in particular to one kind is gone through online based on power system The Data Reduction method of history data.
Background technology
With gradually forming for alternating current-direct current series-parallel connection bulk power grid general layout, the complexity more and more higher of power network, this gives power system Safe and stable operation adds difficulty.Based on this case, it is necessary to constantly extend on-line security and stability analysis function, constantly meet The technical need that bulk power grid fast development works management and running.
For big system in line computation, the historical data scale of construction accumulated is extremely huge, and elapses can also over time It is quick to produce.Substantial amounts of management and running data are have accumulated before regulation and control centraleses at different levels, a safety on line was carried out every 15 minutes Stability analysis, the data of calculating and the data volume of result can be annual enough of about 1G, the data volume about 96G of daily 96 points The huge data volume of TB magnitudes can be reached.Made under the conditions of existing software and hardware of these data and quick sentence stability analysis and show By the way of so can not simply taking " all use ", it is necessary to take into account " big " and " fast " both sides feature.The processing of big data Thought and technology provide technical support for the analysis of a large amount of online historical datas.
Therefore need to provide a kind of data to the deficiency of research in terms of online historical data processing for current power system The data preprocessing method of yojan reduces the time of data training, improves data and dig to reduce data scale, reduce memory space The efficiency of pick;Remove the noise data in data, improve data classification accuracy.
The content of the invention
For a large amount of online historical datas, the invention provides a kind of data based on the online historical data of power system about Simple method implementation method.
A kind of Data Reduction method based on the online historical data of power system, it is characterised in that methods described includes:
I, raw data set is generated according to online historical data;
II, feature extraction is carried out to raw data set;
III, screening sample is carried out to raw data set.
Further, historical data includes described in the step I:Power network shape as the attribute variable of analyze data collection The critical clearing time of state variable and class variable as analyze data collection.
Further, the electric network state variable includes the quantity of state and electrical quantity of static device, by region or plant stand Statistic.
Further, feature extraction includes described in the step II:Extraction to class variable it is moderate related and with On feature of the attribute variable as subsequent analysis, remove weak related and unrelated attribute variable, using shown in following formula Pearson correlation coefficient γA,BCarry out feature extraction:
Wherein:
The number of n-tuple;
aiNumerical value of-tuple the i on A;
biNumerical value of-tuple the i on B;
A-A average;
B-B average;
σA- A standard deviation;
σB- B standard deviation.
Further, the screening of sample includes described in the step III:
(1) repeatability screening;
(2) screening sample based on SVM algorithm;
(3) screening sample based on nearest sample pair.
Further, the step (1) includes:Identical sample is deleted, only retains one of sample.
Further, the step (2) includes:
Sample classification training is carried out with SVM algorithm, the classification function being shown below:
Wherein, sgn is sign function, and K is kernel function, and a and b are the parameters obtained by training, xiAnd yiRespectively support to Amount and its classification (yi=1 or -1), x is sample to be discriminated;
Kernel function K is shown below:
Wherein, σ is parameter.
Further, the screening sample based on SVM algorithm includes:
Training sample by SVM methods, is obtained hyperplane by (4-1);
(4-2) inputs training sample as sample to be sorted, obtains classification results;
(4-3) deletes the sample of classification error in training sample;
(4-4) repeats above step, until the sample of no classification error.
Further, the sample recently is shown to being defined as follows:
It is β that the nearest samples of distance sample α, which are calculated, using Euclidean distance formula, if sample β nearest sample is α, Then sample α and sample β nearest sample pair each other.
Further, the screening based on nearest sample pair includes:
(5-1) calculates the nearest sample x ' of each sample x in data set S, labeled as nearest sample;
The nearest sample of all samples in (5-2) mark S;
(5-3) finds the sample of all samples pair nearest each other in S;
(5-4) judges whether each sample centering classification is identical, if identical, deletes one of sample;If differing, Then two samples are all deleted;
The S that (5-5) is obtained is data set after compressing.
With immediate prior art ratio, technical scheme provided by the invention has following excellent effect:
1st, algorithm of the invention embodies the characteristics of carrying out analysis work using the online historical data of magnanimity.In order to improve meter The complexity of calculation to big measure feature and sample, it is necessary to effectively be screened, to reach the more accurate purpose of data analysis faster.
2nd, the present invention from the horizontal and vertical of data set while can carry out Data Reduction, especially in terms of screening sample, Can screen out influences the noise sample of classification, and and can screens out does not have contributive redundant samples to classification, is keeping classification accuracy While, greatly reduce space filling rate.
Brief description of the drawings
Fig. 1 is that correlation coefficient threshold of the present invention chooses contrast.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, the present invention is carried out below further Describe in detail.
The method of the invention generates according to following steps:
Step 1, the online historical data of magnanimity is chosen, generate raw data set.
The main attribute variable for choosing electric network state variable as analyze data collection, including under static state each equipment quantity of state And electrical quantity, and the statistic carried out by region or plant stand.Why equipment variables static state under are selected, and main cause is uncommon Hope to shorten as much as possible and sentence the steady time, if the variable in selection transient process, need the temporary steady emulation meter of a period of time after all Calculate, can so reduce and sentence steady speed.Because the relation between static variable and stabilization of power grids degree there is no clear and definite final conclusion, because This, this problem more widely chooses static variable, the electric network state mainly included as far as possible on the premise of computing capability allows Amount and statistic are as shown in table 1.
The electric network state amount of table 1 and statistic list
Class variable of the critical clearing time (CCT, critical clearing time) as analyze data collection is chosen, Critical clearing time represents the stable and unstable border of system, occurs to specify the stabilization of failure available for power system is characterized Degree, critical clearing time is bigger, represents that the short trouble is smaller to systematic influence, system is more stable.If critical excision Time is less than normal operating time of protection, then illustrates that the failure can cause system unstability, i.e. system has potential safety hazard.
All samples for choosing certain month 2015 ultimately generate 2484 samples, each sample bag as raw data set Include 9815 attribute variables.
Step 2, feature extraction is carried out using coefficient correlation.
Coefficient correlation is used to investigate the degree of correlation between two things (we term it variable in data).It is most normal Method is to calculate Pearson correlation coefficient, and calculation formula is as follows.
In formula:
The number of n-tuple;
aiNumerical value of-tuple the i on A;
biNumerical value of-tuple the i on B;
- A average;
- B average;
σA- A standard deviation;
σB- B standard deviation.
Coefficient correlation value between -1 to+1, more than 0 interval scale, two sequence positive correlations, i.e. A values with the increase of B values and Increase, numerical value is closer to+1, then degree of correlation is stronger;Otherwise it is less than 0 interval scale, two sequence negative correlation, closer to -1, Then degree of correlation is stronger;It is uncorrelated equal to 0 interval scale, two sequences.
The critical clearing time after certain line fault is chosen as class variable, calculates all properties variable and class variable Coefficient correlation.
Extract to the variable that class variable is moderate related and attribute variable of the above is as subsequent analysis, remove weak phase Close and unrelated attribute variable.Contrast separately below using coefficient correlation as 0.4,0.5 and 0.6 as threshold value when, variable number with And the situation of classification accuracy is as shown in Figure 1.As can be seen that as the increase of correlation coefficient threshold, the number of attribute variable are anxious Reduce sharply less, but classification accuracy situation of change is more complicated.Finally draw, it is relatively fewer and classification is accurate with attribute variable's number Rate is up to target, and extraction coefficient correlation is the attribute variable of 0.5 and the above, and final 574 attribute variables of extraction carry out follow-up Analysis.
Step 3, the data set obtained according to step 2, carry out the repeatability screening of first time sample.
The operation of power system is present periodically, and this periodicity is relatively stable in a short time, and drawing over time Long, system operation mode inevitably produces increasing difference.Raw data set is after feature extraction, due to attribute Variable greatly reduces, it may appear that the situation that differences between samples disappear, the feature for causing sample similar in the time to include are identical. At this moment, it is necessary to carry out carrying out repeated screening to sample, a reservation is selected in identical sample, and by remaining identical sample All delete.
Step 4, the data set obtained according to step 3, second of screening sample is carried out using SVM algorithm.
Sample classification training is carried out using SVM algorithm, final classification function can be write:
Wherein, sgn is that for the final classification for determining sample, (the positive and negative of such as result of calculation corresponds respectively to sign function Two classification results), K is kernel function, and α and b are the parameters obtained by training, xiAnd yiFor supporting vector and its classification (yi=1 Or -1), x is sample to be discriminated.
Kernel function K uses Gaussian form (RBF):
σ therein is parameter.
In the training process, in addition to it need to specify the parameter of kernel function, generally also need to specify a coefficient of relaxation c, i.e., The degree for allowing classification to malfunction, for strengthening SVM generalization ability.
Need it is clear that, in hands-on model, if based on the data analysis tool of maturation, such as R language or Matlab, its disaggregated model training function provided are usually constructed with default parameters.For SVM, usual σ value be characterized to The inverse of amount, c are often taken as 1.
Screening sample method based on SVM algorithm is:
(1) using training sample S training SVM, hyperplane is obtained;
(2) inputted training sample S as classification samples, obtain classification results R;
(3) sample of classification error is deleted from S;
(4) repeat step (1)-(3), untill no misclassification sample.
This method flow is the continuous process for removing sample, and this method can be used for removing noise sample so that classification boundaries Become apparent from.
Step 5, the data set obtained according to step 4, using nearest sample to carrying out third time screening sample.
The present invention proposes the concept of nearest sample pair, is defined as:For a sample a in data set, using Euclidean away from From formula, the nearest samples of distance a (being set to b) are calculated, if b nearest sample is also a, claim a and b nearest samples pair each other.
Screening sample method based on nearest sample pair is:
(1) the nearest sample x ' of each sample x in data set S is calculated, labeled as nearest sample;
(2) next sample in S is continued with, turns to step (1), until the sample in S is all labeled;
(3) S is traveled through, finds all samples nearest each other in S;
(4) whether each sample centering classification searched out in judgment step (3) is identical, if identical, by any one Sample is deleted;If differing, two samples are all deleted;
(5) S obtained is data set after compressing.
This method can be used for removing noise sample, can also remove the sample of redundancy in class.
Sample calculation analysis is as follows:
Data set of the initial data after feature extraction is described as follows:
Sample number Characteristic (after screening) Classification number
2484 574 9
80% sample is randomly selected in each classification respectively as training set, remaining sample is as test set.And There is provided 10 kinds of random numbers, try to achieve the final result averaged after result as this method.Following table gives screening sample side The implementation effect of method, classification accuracy and space filling rate before and after screening sample are compared for, it is as shown in the table.
It can be drawn by upper table, the data set after the algorithm process is more former on classification accuracy and storage compression ratio Beginning sample set is obviously improved.Improved while classification accuracy is kept and averagely store compression ratio more than 35%, and completely protected The data distribution characteristics of original sample collection are stayed, compromise is obtained on classification accuracy and storage compression ratio.
Finally it should be noted that:The above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof, to the greatest extent The present invention is described in detail with reference to above-described embodiment for pipe, those of ordinary skills in the art should understand that:Still The embodiment of the present invention can be modified or equivalent substitution, and without departing from any of spirit and scope of the invention Modification or equivalent substitution, it all should cover among scope of the presently claimed invention.

Claims (10)

  1. A kind of 1. Data Reduction method based on the online historical data of power system, it is characterised in that methods described includes:
    I, raw data set is generated according to online historical data;
    II, feature extraction is carried out to raw data set;
    III, screening sample is carried out to raw data set.
  2. A kind of 2. Data Reduction method based on the online historical data of power system as claimed in claim 1, it is characterised in that Historical data includes described in the step I:As the electric network state variable of the attribute variable of analyze data collection and as analysis The critical clearing time of the class variable of data set.
  3. A kind of 3. Data Reduction method based on the online historical data of power system as claimed in claim 2, it is characterised in that The electric network state variable includes the quantity of state and electrical quantity of static device, by region or the statistic of plant stand.
  4. A kind of 4. Data Reduction method based on the online historical data of power system as claimed in claim 1, it is characterised in that Feature extraction includes described in the step II:Utilize the Pearson correlation coefficient γ shown in following formulaA,BCarry out feature extraction:
    <mrow> <msub> <mi>&amp;gamma;</mi> <mrow> <mi>A</mi> <mo>,</mo> <mi>B</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </msubsup> <mrow> <mo>(</mo> <msub> <mi>a</mi> <mi>i</mi> </msub> <mo>-</mo> <mover> <mi>A</mi> <mo>&amp;OverBar;</mo> </mover> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <msub> <mi>b</mi> <mi>i</mi> </msub> <mo>-</mo> <mover> <mi>B</mi> <mo>&amp;OverBar;</mo> </mover> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>n&amp;sigma;</mi> <mi>A</mi> </msub> <msub> <mi>&amp;sigma;</mi> <mi>B</mi> </msub> </mrow> </mfrac> </mrow>
    Wherein:
    The number of n-tuple;
    aiNumerical value of-tuple the i on A;
    biNumerical value of-tuple the i on B;
    - A average;
    - B average;
    σA- A standard deviation;
    σB- B standard deviation.
  5. A kind of 5. Data Reduction method based on the online historical data of power system as claimed in claim 1, it is characterised in that The screening of sample includes described in the step III:
    (1) repeatability screening;
    (2) screening sample based on SVM algorithm;
    (3) screening sample based on nearest sample pair.
  6. A kind of 6. Data Reduction method based on the online historical data of power system as claimed in claim 5, it is characterised in that The step (1) includes:Identical sample is deleted, only retains one of sample.
  7. A kind of 7. Data Reduction method based on the online historical data of power system as claimed in claim 5, it is characterised in that The step (2) includes:
    Sample classification training is carried out with SVM algorithm, the classification function being shown below:
    <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>sgn</mi> <mo>{</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>ay</mi> <mi>i</mi> </msub> <mi>K</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>&amp;CenterDot;</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>+</mo> <mi>b</mi> <mo>}</mo> </mrow>
    Wherein, sgn is sign function, and K is kernel function, and a and b are the parameters obtained by training, xiAnd yiRespectively supporting vector and Its (y that classifiesi=1 or -1), x is sample to be discriminated;
    Kernel function K is shown below:
    <mrow> <mi>K</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mi>exp</mi> <mrow> <mo>(</mo> <mo>-</mo> <mfrac> <mrow> <mo>|</mo> <mo>|</mo> <mi>x</mi> <mo>-</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>|</mo> <msup> <mo>|</mo> <mn>2</mn> </msup> </mrow> <msup> <mi>&amp;sigma;</mi> <mn>2</mn> </msup> </mfrac> <mo>)</mo> </mrow> </mrow>
    Wherein, σ is parameter.
  8. A kind of 8. Data Reduction method based on the online historical data of power system as claimed in claim 7, it is characterised in that The screening sample based on SVM algorithm includes:
    Training sample by SVM methods, is obtained hyperplane by (4-1);
    (4-2) inputs training sample as sample to be sorted, obtains classification results;
    (4-3) deletes the sample of classification error in training sample;
    (4-4) repeats above step, until the sample of no classification error.
  9. A kind of 9. Data Reduction method based on the online historical data of power system as claimed in claim 5, it is characterised in that The sample recently is shown to being defined as follows:
    It is β that the nearest samples of distance sample α, which are calculated, using Euclidean distance formula, if sample β nearest sample is α, sample This α and sample β nearest sample pair each other.
  10. 10. a kind of Data Reduction method based on the online historical data of power system as claimed in claim 9, its feature exist In the screening based on nearest sample pair includes:
    (5-1) calculates the nearest sample x ' of each sample x in data set S, labeled as nearest sample;
    The nearest sample of all samples in (5-2) mark S;
    (5-3) finds the sample of all samples pair nearest each other in S;
    (5-4) judges whether each sample centering classification is identical, if identical, deletes one of sample;, will if differing Two samples are all deleted;
    The S that (5-5) is obtained is data set after compressing.
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