CN104166718B - A kind of bad data detection and identification method suitable for bulk power grid - Google Patents

A kind of bad data detection and identification method suitable for bulk power grid Download PDF

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CN104166718B
CN104166718B CN201410407189.6A CN201410407189A CN104166718B CN 104166718 B CN104166718 B CN 104166718B CN 201410407189 A CN201410407189 A CN 201410407189A CN 104166718 B CN104166718 B CN 104166718B
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data
suspicious
sus
association
bad
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CN104166718A (en
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赵昆
窦成龙
颜磊
邹昱
徐杰
张印
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
State Grid Liaoning Electric Power Co Ltd
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
State Grid Liaoning Electric Power Co Ltd
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F16/00Information retrieval; Database structures therefor; File system structures therefor
    • G06F16/90Details of database functions independent of the retrieved data types
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Abstract

The present invention relates to a kind of bad data detection and identification method suitable for bulk power grid, methods described is used in during Power system state estimation;It the described method comprises the following steps:Detection bad data simultaneously determines suspicious data collection therein;Determine the association suspicious data collection that the suspicious data is concentrated;Determine the bad data that suspicious data is concentrated;Delete the bad data that the suspicious data is concentrated.The present invention can be widely used in current net provincial power network and nationwide integrated power grid, and can adapt to following scale grid line analysis demand, can fast and accurately reject the bad data in measurement information, improve precision of state estimation.

Description

A kind of bad data detection and identification method suitable for bulk power grid
Technical field:
The present invention relates to a kind of bad data detection and identification method, it is more particularly to a kind of suitable for the bad of bulk power grid Data Detection and discrimination method.
Background technology:
Power system state estimation is the important component of modern energy management systems, and its metric data is largely originated In SCADA system, information is in addition to containing normal measurement noise, it is also possible to contain bad data.The presence of bad data, will Cause estimated result to be contaminated, or even be allowed to serious distortion.The detection of bad data and identification are Power system state estimations One of critical function, its object is to exclude to measure a small amount of bad data accidentally occurred in sampled data, to improve state The reliability of estimation.
Power system state estimation is that data precision is improved using the redundancy of real-time measurement system, excludes random disturbances Caused error message, and then the running status of estimation or forecasting system.Raw data detection based on state estimation is with distinguishing The method of knowledge mainly has residual error search method, Non quadratic criteria method, zero residual error method and estimation identification method.These methods will mainly add Power residual error or residual value are used as characteristic value, it is assumed that it obeys a certain probability distribution, and true according to certain level of confidence A fixed threshold value, carries out hypothesis testing.Find after suspicious measurement data, it is excluded from measurement data or reduces its power Value, obtains new state estimation.Shortcoming that may be present in above detection and identification method:It is possible that residual contamination and residual error Phenomenon is flooded, so as to cause missing inspection or flase drop, the effect of identification is influenceed, further influences estimation effect.Because algorithm is using non- Need to carry out multiple state estimation in linear residual equation, identification process, therefore amount of calculation is greatly, and state estimation has to real-time Certain requirement, should not be used as online real-time estimation method.In addition using linearisation residual equation, residual sensitivity matrix is utilized Submatrix calculate the estimate of measurement, because sensitivity matrix is the full battle array of higher-dimension, therefore this method amount of calculation is still very big. In addition, in the case of there are multiple bad datas, the phenomenon for the identification that makes often to make a mistake in this way.For various Defect in method, state estimate also occurs in that many improved research branches.
Traditional detection, using weighted residual rw or residual rn as bad data recognition method, obtains suspicious with discrimination method After metric data collection, its weights is reduced one by one or is directly rejected from metric data, then re-starts state estimation, so circulation Untill meeting the condition of convergence.The shortcoming of such method is that amount of calculation is very big, and calculating speed is slow;If defining detection number of times, Easily there is residual contamination again and residual error floods phenomenon, cause missing inspection or miss detection, influence identification effect.Especially measuring number According to few, and data value is inaccurate, it is insecure in the case of (such as in power distribution network), it is more tight that residual contamination and residual error flood phenomenon Weight.
Power system state estimation has at home and abroad developed decades, and bad data detection and identification research also never Stagnate, but still without the effective ways for proposing a good detection and identification bad data, it is proposed that one kind is applied to bulk power grid Bad data detection and identification method to overcome drawbacks described above.
The content of the invention:
It is an object of the invention to provide a kind of bad data detection and identification method suitable for bulk power grid, this method is extensive Applied to current net provincial power network and nationwide integrated power grid, and following scale grid line analysis demand is can adapt to, can be quickly accurate The true bad data rejected in measurement information, improves precision of state estimation.
To achieve the above object, the present invention uses following technical scheme:A kind of raw data detection suitable for bulk power grid With discrimination method, methods described is used in during Power system state estimation;It the described method comprises the following steps:
(1) the suspicious data collection SUS of the whole network is determined;
(2) the association suspicious data collection sus [n] that the suspicious data is concentrated is determined;
(3) bad data in identification association suspicious data collection sus [n].
The present invention provides a kind of bad data detection and identification method suitable for bulk power grid, the determination of the step (1) Process is:
(1-1) carries out the state estimation of the whole network;
(1-2) passes through rnDetection method determines suspicious data collection SUS;
The rnThe detection process of detection method is:
In formula, H0It is not suspicious metric data, H for i-th of metric data1It is suspicious measurement number for i-th of metric data According to;rN,iFor i-th of standardized residual,For the threshold value of i-th of standardized residual.
The present invention provides a kind of bad data detection and identification method suitable for bulk power grid, the door of the standardized residual Threshold value is determined by following steps:
Define W and WNRespectively m × m ranks residual sensitivity matrix and the sensitivity matrix of m × m rank standardized residuals, then Have
Standardized residual rNFor:
rN=WNv (3)
Wherein, diagonal matrix D=diag [WR], R are the weight matrix corresponding with measurement, and v is the m dimensions containing bad data Error vector;
Under the conditions of normal measure, there is standardized residual rNCovariance matrix be:
Wherein, E represents expectation function, rN,zFor the standardized residual of all measurements, therefore have
Probability of false detection P is taken so working ase=0.005, take the threshold value of the standardized residualFor
The present invention provides a kind of bad data detection and identification method suitable for bulk power grid, the determination of the step (2) Process is:
The search of (2-1) incidence matrix;
(2-2) ultimately forms association suspicious data collection.
The present invention provides a kind of bad data detection and identification method suitable for bulk power grid, and the step (2-1) is in electricity In Force system state estimation, the association suspicious data search procedure based on Jacobian matrix is:
Step (2-1-1):The number n for setting association suspicious data collection is 1;
Step (2-1-2):Newly-built n-th of association suspicious data collection sus [n];
Step (2-1-3):Whether be empty, if not being idle running step (2-1- if judging all suspicious data collection SUS of the whole network 4), if sky, then search procedure terminates;
Step (2-1-4):The maximum data of standardized residual are taken out from SUS, it is assumed that for i-th of data, then count this Reject, and be added in sus [n] according to from SUS;
Step (2-1-5):The nonzero element searched in the row element of Jacobian matrix i-th, and record these nonzero elements Row number, forms set LOR;
Step (2-1-6):Take out row number successively from LOR, and search for the corresponding row of Jacobian matrix, record non-in each row The line number of 0 element, forms set ROW;
Step (2-1-7):Judge whether the corresponding data of line number belong to set SUS in ROW successively, if there is belonging to collection SUS data are closed, then all data for belonging to set SUS are added in association suspicious data collection sus [n], while these The data for belonging to set SUS are rejected from SUS, are gone to step (2-1-8);If there is no the data for belonging to set SUS, then n-th Individual suspicious measurement collection sus [n] formation of association is finished, and performs n=n+1, and go to step (2-1-2);
Step (2-1-8):Take out in step (2-1-7) and belong to the set SUS corresponding line number of data, and search for Jacobi Non-zero element in matrix correspondence row element, records row number where non-zero element, forms LOR, go to step (2-1-6);
8 steps more than, form n association suspicious data collection of the step (2-2).
The present invention provides a kind of bad data detection and identification method suitable for bulk power grid, according to the suspicious number of association Each sus [n] weighted residual quadratic sum J (x) is calculated according to collection sus [n]:
J (x)=[z-h (x)]TR-1[z-h(x)] (7)
Wherein, z is association suspicious data, and R is corresponding diagonal weight matrix, and h (x) is the calculating letter for associating suspicious data Number.
The present invention provides a kind of bad data detection and identification method suitable for bulk power grid, and the step (3) is by double Layer bad data recognition method determines bad data.
The present invention provides a kind of bad data detection and identification method suitable for bulk power grid, and the double-deck bad data is distinguished Knowledge method process is:
Step (8-1):Set current association to be processed is suspicious to measure collection sequence number k=1;
Step (8-2):K-th of association suspicious data collection is taken out, the weighted residual square of all data in this set is calculated Be designated as J (x);
Step (8-3):Take out k-th of association suspicious data and concentrate the data sus that standardized residual is maximum and is not identified [k, i], it is quick to correct state estimation factor table and quickly delete the suspicious data sus based on Givens orthogonal row converter techniques [k,i];
Step (8-4):The weighted residual that all data in suspicious data collection sus [k] are associated described in rapid solving is put down Side and J ' (x);
Step (8-5):Whether recognize the suspicious data is bad data;
If the suspicious data sus [k, i] is bad data, and goes to step (8-6);If the suspicious data sus [k, i] is no It is bad data, recovers the suspicious data sus [k, i] into association suspicious data collection sus [k], put identification mark, and pass through The quick modifying factor sublist of Givnes orthogonal row converter techniques, then goes to step (8-3);
Step (8-6):The identification association suspicious data concentrates whether also there is bad data;
If the association suspicious data is concentrated without bad data, continue next association suspicious data set analysis, perform k =k+1, and go to step (8-7), k is association suspicious data collection number;If the association suspicious data, which is concentrated, also has bad data, Identification need to be continued, gone to step (8-3);
Step (8-7):Judge whether k is more than n, if it is, bad data recognition process terminates;If it is not, then turning Step (8-2).
The present invention provides a kind of bad data detection and identification method suitable for bulk power grid, and the step (8-5) passes through Following formula judges whether bad data:
| J (x)-J ' (x) | > ε1, ε1For threshold value,;If inequality is set up, the data are bad data, if inequality Invalid, then bad data is not present in the data;
The step (8-6) judges the association suspicious data concentrates whether also there is bad data by following formula:
J ' (x) < ε2, ε2For threshold value;If inequality is set up, the association suspicious data is concentrated without bad data; If inequality is invalid, the association suspicious data, which is concentrated, also has bad data.
The present invention provides a kind of bad data detection and identification method suitable for bulk power grid, completes detection and was recognizing The data respective weights of the Power system state estimation are modified, gone forward side by side by Cheng Hou according to the bad data picked out Row iteratively faster is calculated, and obtains the accurate Power system state estimation data section.
With immediate prior art ratio, the present invention, which provides technical scheme, has following excellent effect
1st, the present invention is the important component of power state estimation, is requisite measure and the pass for improving precision of state estimation Key technology;
2nd, the present invention can fast and accurately reject the larger bad data of error, can while bad data is accurately positioned Avoid unnecessary search;
3rd, the present invention can improve raw data detection identification sensitivity and the degree of accuracy, and the final state estimation that improves calculates essence Degree;
4th, the present invention has than wide application prospect, is widely used in current net provincial power network and nationwide integrated power grid, And can adapt to following scale grid line analysis demand;
5th, the present invention can further lift intelligent grid dispatching technique and support system in the Demonstration Application of scheduling institutions at different levels Accuracy and calculating speed that state estimation of uniting is calculated, the becoming more meticulous of comprehensive support intelligent grids at different levels scheduling, lean and one The ability of bodyization running;
6th, the present invention can effectively improve the real-time that ultra-large powernet analysis is calculated, and be extra-high voltage bulk power grid Safety, high-quality and economical operation provide strong technical support;
7th, the present invention enables dispatcher to track operation of power networks state in time by accurate status estimated result, finds different Normal operation conditions simultaneously makes control decision, it is to avoid fault spread, further lifting intelligent grid supporting system technology technology Level and operation stability, further lifting dispatching of power netwoks are controlled the ability of bulk power grid;
8th, the present invention ensures safe and stable bulk power grid, high-quality, economical operation, to lifting electrical power services quality and guarantee society The stable development of meeting has important realistic meaning.
Brief description of the drawings
Fig. 1 is straightforward procedure flow chart of the invention;
Fig. 2 is specific method flow chart of the invention.
Embodiment
With reference to embodiment, the invention will be described in further detail.
Embodiment 1:
As shown in Figure 1-2, a kind of bad data detection and identification method suitable for bulk power grid of invention of this example, the side Method is used in during Power system state estimation;It the described method comprises the following steps:
(1) the suspicious data collection SUS of the whole network is determined;
(2) the association suspicious data collection sus [n] that the suspicious data is concentrated is determined;
(3) bad data in identification association suspicious data collection sus [n].
The determination process of the step (1) is:
(1-1) carries out the state estimation of the whole network.
(1-2)rnDetection method determines suspicious data collection SUS
The step (1-1) is done the state estimation an of the whole network by original measurement.
The rnThe detection process of detection method is:
In formula, H0It is not suspicious metric data, H for i-th of metric data1It is suspicious measurement number for i-th of metric data According to;rN,iFor i-th of standardized residual,For the threshold value of i-th of standardized residual.
The threshold value of the standardized residual is determined by following steps:
Define W and WNRespectively m × m ranks residual sensitivity matrix and the sensitivity matrix of m × m rank standardized residuals, then Have
Standardized residual rNFor:
rN=WNv (3)
Wherein, diagonal matrix D=diag [WR], R are the weight matrix corresponding with measurement, and v is the m dimensions containing bad data Error vector;
Therefore, under the conditions of normal measure, there is standardized residual rNCovariance matrix be:
Wherein, E represents expectation function, rN,zFor the standardized residual of all measurements, therefore have
Probability of false detection P is taken so working ase=0.005, take the threshold value of the standardized residualFor
The determination process of the step (2) is:
The search of (2-1) incidence matrix;
(2-2) ultimately forms association suspicious data collection.
The step (2-1) is in Power system state estimation, and the association suspicious data based on Jacobian matrix was searched for Cheng Wei:
Step (2-1-1):The number n for setting association suspicious data collection is 1;
Step (2-1-2):Newly-built n-th of association suspicious data collection sus [n];
Step (2-1-3):Whether be empty, if not being idle running step (2-1- if judging all suspicious data collection SUS of the whole network 4), if sky, then search procedure terminates;
Step (2-1-4):The maximum data of standardized residual are taken out from SUS, it is assumed that for i-th of data, then count this Reject, and be added in sus [n] according to from SUS;
Step (2-1-5):The nonzero element searched in the row element of Jacobian matrix i-th, and record these nonzero elements Row number, forms set LOR;
Step (2-1-6):Take out row number successively from LOR, and search for the corresponding row of Jacobian matrix, record non-in each row The line number of 0 element, forms set ROW;
Step (2-1-7):Judge whether the corresponding data of line number belong to set SUS in ROW successively, if there is belonging to collection SUS data are closed, then all data for belonging to set SUS are added in association suspicious data collection sus [n], while these The data for belonging to set SUS are rejected from SUS, are gone to step (2-1-8);If there is no the data for belonging to set SUS, then n-th Individual suspicious measurement collection sus [n] formation of association is finished, and performs n=n+1, and go to step (2-1-2);
Step (2-1-8):Take out in step (2-1-7) and belong to the set SUS corresponding line number of data, and search for Jacobi Non-zero element in matrix correspondence row element, records row number where non-zero element, forms LOR, go to step (2-1-6);
8 steps more than, form n association suspicious data collection of the step (2-2).
Each sus [n] weighted residual quadratic sum J (x) is calculated according to the association suspicious data collection sus [n]:
J (x)=[z-h (x)]TR-1[z-h(x)] (7)
Wherein, z is association suspicious data, and R is corresponding diagonal weight matrix, and h (x) is the calculating letter for associating suspicious data Number.
The double-deck bad data recognition method process is:
Step (8-1):Set current association to be processed is suspicious to measure collection sequence number k=1;
Step (8-2):K-th of association suspicious data collection is taken out, the weighted residual square of all data in this set is calculated Be designated as J (x);
Step (8-3):Take out k-th of association suspicious data and concentrate the data sus that standardized residual is maximum and is not identified [k, i], it is quick to correct state estimation factor table and quickly delete the suspicious data sus based on Givens orthogonal row converter techniques [k,i];
Step (8-4):The weighted residual that all data in suspicious data collection sus [k] are associated described in rapid solving is put down Side and J ' (x);
Step (8-5):Whether recognize the suspicious data is bad data;
If the suspicious data sus [k, i] is bad data, and goes to step (8-6);If the suspicious data sus [k, i] is no It is bad data, recovers the suspicious data sus [k, i] into association suspicious data collection sus [k], put identification mark, and pass through The quick modifying factor sublist of Givnes orthogonal row converter techniques, then goes to step (8-3);
Step (8-6):The identification association suspicious data concentrates whether also there is bad data;
If the association suspicious data is concentrated without bad data, continue next association suspicious data set analysis, perform k =k+1, and go to step (8-7), k is the suspicious collection number of association;, need to be after if the association suspicious data is concentrated and also there is bad data Continuous identification, goes to step (8-3);
Step (8-7):Judge whether k is more than n, if it is, bad data recognition process terminates;If it is not, then turning Step (8-2).
The step (8-5) judges whether bad data by following formula:
| J (x)-J ' (x) | > ε1, ε1For threshold value,;If inequality is set up, the data are bad data, if inequality Invalid, then bad data is not present in the data;
The step (8-6) judges the association suspicious data concentrates whether also there is bad data by following formula:
J ' (x) < ε2, ε2For threshold value;If inequality is set up, the association suspicious data is concentrated without bad data; If inequality is invalid, the association suspicious data, which is concentrated, also has bad data.
After detection and identification process is completed, according to the bad data picked out to the Power system state estimation Data respective weights are modified, and carry out iteratively faster calculating, are obtained the accurate Power system state estimation data and are broken Face.
Using suspicious measurement Fast search technique is associated, bad data recognition scope is reduced, bad data identification speed is improved Degree and sensitivity;By many related double-deck identification techniques of bad data, many related bad data recognition accuracys are substantially increased And precision, finally give the accurate Power system state estimation data section.
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, institute The those of ordinary skill in category field with reference to above-described embodiment although should be understood:Still can be to embodiment of the invention Modify or equivalent substitution, these any modifications or equivalent substitution without departing from spirit and scope of the invention, in Shen Within claims of the invention that please be pending.

Claims (8)

1. a kind of bad data detection and identification method suitable for bulk power grid, methods described is used in Power system state estimation During;It is characterized in that:It the described method comprises the following steps:
(1) the suspicious data collection SUS of the whole network is determined;
(2) the association suspicious data collection sus [n] that the suspicious data is concentrated is determined;
(3) bad data in identification association suspicious data collection sus [n];
The determination process of the step (2) is:
The search of (2-1) incidence matrix;
(2-2) ultimately forms association suspicious data collection;
The step (2-1) is in Power system state estimation, and the association suspicious data search procedure based on Jacobian matrix is:
Step (2-1-1):The number n for setting association suspicious data collection is 1;
Step (2-1-2):Newly-built n-th of association suspicious data collection sus [n];
Step (2-1-3):Whether be empty, if not being idle running step (2-1-4), such as if judging all suspicious data collection SUS of the whole network Fruit is sky, then search procedure terminates;
Step (2-1-4):The maximum data of standardized residual are taken out from SUS, it is assumed that for i-th of data, then by the data from Reject, and be added in sus [n] in SUS;
Step (2-1-5):The nonzero element searched in the row element of Jacobian matrix i-th, and record the row number of these nonzero elements, Form set LOR;
Step (2-1-6):Take out row number successively from LOR, and search for the corresponding row of Jacobian matrix, record non-zero member in each row The line number of element, forms set ROW;
Step (2-1-7):Judge whether the corresponding data of line number belong to set SUS in ROW successively, if there is belonging to set SUS data, then be added to all data for belonging to set SUS in association suspicious data collection sus [n], while these are belonged to Reject, go to step (2-1-8) from SUS in set SUS data;If there is no the data for belonging to set SUS, then n-th Suspicious measurement collection sus [n] formation of association is finished, and performs n=n+1, and go to step (2-1-2);
Step (2-1-8):Take out in step (2-1-7) and belong to the set SUS corresponding line number of data, and search for Jacobian matrix Non-zero element in correspondence row element, records row number where non-zero element, forms LOR, goes to step (2-1-6);
8 steps more than, form n association suspicious data collection of the step (2-2).
2. a kind of bad data detection and identification method suitable for bulk power grid as claimed in claim 1, it is characterised in that:Institute The determination process for stating step (1) is:
(1-1) carries out the state estimation of the whole network;
(1-2) passes through rnDetection method determines suspicious data collection SUS;
The rnThe detection process of detection method is:
In formula, H0It is not suspicious metric data, H for i-th of metric data1It is suspicious metric data for i-th of metric data;rN,i For i-th of standardized residual, r 'N,iFor the threshold value of i-th of standardized residual.
3. a kind of bad data detection and identification method suitable for bulk power grid as claimed in claim 2, it is characterised in that: The threshold value of the standardized residual is determined by following steps:
Define W and WNRespectively m × m ranks residual sensitivity matrix and the sensitivity matrix of m × m rank standardized residuals, then have
Standardized residual rNFor:
rN=WNv (3)
Wherein, diagonal matrix D=diag [WR], R are the weight matrix corresponding with measurement, and v is the m dimension errors containing bad data Vector;
Under the conditions of normal measure, there is standardized residual rNCovariance matrix be:
Wherein, E represents expectation function, rN,zFor the standardized residual of all measurements, therefore have
Probability of false detection P is taken so working ase=0.005, take the threshold value r of the standardized residualN,iFor
r′N,i=2.81 (i=1,2 ..., m) (6).
4. a kind of bad data detection and identification method suitable for bulk power grid as claimed in claim 1, it is characterised in that:Root Each sus [n] weighted residual quadratic sum J (x) is calculated according to the association suspicious data collection sus [n]:
J (x)=[z-h (x)]TR-1[z-h(x)] (7)
Wherein, z is association suspicious data, and R is corresponding diagonal weight matrix, and h (x) is the calculating function for associating suspicious data.
5. a kind of bad data detection and identification method suitable for bulk power grid as claimed in claim 4, it is characterised in that:Institute State step (3) and bad data is determined by double-deck bad data recognition method.
6. a kind of bad data detection and identification method suitable for bulk power grid as claimed in claim 5, it is characterised in that:Institute Stating double-deck bad data recognition method process is:
Step (8-1):Set current association to be processed is suspicious to measure collection sequence number k=1;
Step (8-2):K-th of association suspicious data collection is taken out, the weighted residual quadratic sum of all data in this set, note is calculated For J (x);
Step (8-3):Take out data sus that k-th of association suspicious data concentrate standardized residual maximum and be not identified [k, I], based on Givens orthogonal row converter techniques, quick amendment state estimation factor table and quickly delete the suspicious data sus [k, i];
Step (8-4):The weighted residual quadratic sum of all data in suspicious data collection sus [k] is associated described in rapid solving J′(x);
Step (8-5):Whether recognize the suspicious data is bad data;
If the suspicious data sus [k, i] is bad data, and goes to step (8-6);If the suspicious data sus [k, i] is not bad Data, recover the suspicious data sus [k, i] into association suspicious data collection sus [k], put identification mark, and pass through The quick modifying factor sublist of Givnes orthogonal row converter techniques, then goes to step (8-3);
Step (8-6):The identification association suspicious data concentrates whether also there is bad data;
If the association suspicious data is concentrated without bad data, continue next association suspicious data set analysis, perform k=k+ 1, and go to step (8-7), k is association suspicious data collection number;, need to be after if the association suspicious data is concentrated and also there is bad data Continuous identification, goes to step (8-3);
Step (8-7):Judge whether k is more than n, if it is, bad data recognition process terminates;If it is not, then going to step (8-2)。
7. a kind of bad data detection and identification method suitable for bulk power grid as claimed in claim 6, it is characterised in that:Institute State step (8-5) and bad data is judged whether by following formula:
| J (x)-J ' (x) | > ε1, ε1For threshold value;If inequality set up, the data be bad data, if inequality not into Vertical, then bad data is not present in the data;
The step (8-6) judges the association suspicious data concentrates whether also there is bad data by following formula:
J ' (x) < ε2, ε2For threshold value;If inequality is set up, the association suspicious data is concentrated without bad data;If no Equation is invalid, then the association suspicious data, which is concentrated, also has bad data.
8. a kind of bad data detection and identification method suitable for bulk power grid as claimed in claim 1, it is characterised in that: Detection is completed with after identification process, being weighed according to the bad data picked out to the data correspondence of the Power system state estimation It is modified again, and carries out iteratively faster calculating, obtains the accurate Power system state estimation data section.
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