CN107798353A - A kind of batch process monitoring data processing method - Google Patents

A kind of batch process monitoring data processing method Download PDF

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CN107798353A
CN107798353A CN201711134478.3A CN201711134478A CN107798353A CN 107798353 A CN107798353 A CN 107798353A CN 201711134478 A CN201711134478 A CN 201711134478A CN 107798353 A CN107798353 A CN 107798353A
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CN107798353B (en
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郭润夏
张娜
王佳琦
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Tianjin Ruichi Aviation Technology Co ltd
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Civil Aviation University of China
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Abstract

The present invention relates to Control Science and Engineering field, especially a kind of batch process monitoring data processing method, comprise the following steps:A. improved affine propagation clustering algorithm is used, b. designs similarity is successively decreased scanning algorithm, and c. determines outlier and misclassified gene and separately designs solution;Improved affine propagation clustering algorithm can more accurately disclose the Mode-switch process between each sub-period of batch process, similarity is successively decreased the trend that scanning algorithm can further reflect that mode changes over time inside each sub-period, determine outlier and misclassified gene and respectively solution method corresponding to proposition, improve the degree of accuracy of statistical modeling, algorithm small scale, computing are simple, are easy to Project Realization.

Description

A kind of batch process monitoring data processing method
Technical field
The present invention relates to Control Science and Engineering field, especially a kind of batch process monitoring data processing method.
Background technology
For a long time, as active demand of the market to more categories, small lot and high value added product, Batch Process turn into The main modes of production of many industrial circles.But the complexity of Batch Process can inevitably lead to the reliable of production The appearance of property and safety problem.In order to more accurately capture the mechanism of batch process to improve monitoring performance, supervised in time with this Potential safety problem is controlled, sphere of learning has carried out in-depth study to batch process, and proposes many data and drive Dynamic multivariate statistical analysis method.For example, typical PCA and least square method and their extension form are all Through being widely used.However, these traditional methods, which are substantially all, assumes that the variation tendency of whole batch process is Smoothly, therefore to whole batch process single model is established.Thus since, the correlation of process will be hidden, and be entered And weaken the performance of on-line monitoring so that the risk that the on-line monitoring of batch process is subject to report by mistake and failed to report.
In view of the particularity of batch process, single model can not truly react the variation tendency of whole process, Related researcher has also been proposed the thought of divided stages, entirely will be entered according to the difference of procedural correlation batch production process One step is divided into independent sub-stage, then again to model corresponding to the foundation of each sub-stage.In the research of divided stages thought Cheng Zhong, Zhao Chunhui et al. propose K mean cluster algorithm, and Qi Yongsheng et al. proposes Fuzzy C-Means Cluster Algorithm.But this Two methods all limitation of various degrees when carrying out divided stages.K mean cluster is entered to initial cluster center Randomness is bigger and more sensitive to noise and outlier during row selection, and this will cause cluster result unstable, clusters matter Amount is therefore limited.And fuzzy C-means clustering is a kind of local search algorithm, it needs the artificial number for determining cluster centre, and And its iterative search is easily absorbed in locally optimal solution, therefore cluster result is often unsatisfactory.It is in fact, multiple for one Miscellaneous batch process, it is difficult to the number of cluster centre is accurately estimated in no priori or in the case of having no experience, because This Accurate Model for being unfavorable for realizing batch process and monitoring.
The content of the invention
The technical problems to be solved by the invention are to overcome the deficiencies in the prior art, there is provided a kind of algorithm scale Small, computing is simple, is easy to the batch process monitoring data processing method of Project Realization.
The present invention is to be achieved by the following technical programs:
A kind of batch process monitoring data processing method, it is characterised in that comprise the following steps:
A. data are divided into advance using improved affine propagation clustering algorithm;
B. design similarity successively decrease scanning algorithm carry out period of the day from 11 p.m. to 1 a.m segment data carefully divide, judge the property of each sub-period, really Sub-period stablizes sub-period or transition sub-period, or determines both when existing concurrently with steady component and transition portion Separation;
C. outlier and misclassified gene are determined, outlier is rejected before off-line modeling, misclassified gene is divided from current Place sub-period takes out and puts back to sub-period where former sample sequence.
Further, the input data similarity formula in the step a in improved affine propagation clustering algorithm is:
In formula, s (i, k) is the input data similarity of improved affine propagation clustering algorithm, Ci(q, r) and Ck(q, r) table Show monitoring data any two timeslice matrix XiAnd XkCovariance matrix, J is the dimension of covariance matrix.
Further, similarity successively decreases scanning algorithm when implementing scanning in the step b, scans obtained sample every time Average similarity formula is:
In formula, m represents period of the day from 11 p.m. to 1 a.m segment number, and n represents scanning times, and k represents sample number,Represent m-th of sub-period The average similarity of n-th scanning,The quantity of the sample obtained in being scanned from m-th of sub-period n-th is represented,Represent The similarity of m-th of sub-period, k-th of sample,
To m-th of period of the day from 11 p.m. to 1 a.m, the distribution situation of the average similarity obtained according to scanning, with Current Scan step scan knot After beam, implement tolerance scanning, i.e., tried again scanning with the step-length in the tolerance less than Current Scan step-length, swept afterwards The process of retouching terminates, and scans, puts down when m-th of sub-period experienced n' scanning and finally implement tolerance altogether in addition to tolerating and scanning Equal similarity variation tendency is present
Wherein, n and n' refers both to scanning times and n'> n, now, two kinds of situations as shown in formula (4) be present:
For case 1, the sample in region before steady component is scanned by n-th forms, and transition portion is by positioned at n-th It is secondary scanning tolerance scan between region sample into;
For case 2, the sample in region before steady component is still scanned by n-th forms, transition portion then by positioned at N-th scan and (n-1) ' secondary scanning between region sample into,
Wherein,It is the average similarity of tolerance scanning,
When meeting n' βmLm≤Lmax,m, and exist
I.e. when average similarity is continuous equal three times, n-th ' the secondary end of scan no longer carries out tolerance scanning, steady component By sweep radius (n'-2) βmLmWithin sample composition, the remaining sample point not scanned is considered as outlier,
When meeting n' βmLm≥Lmaxm, and exist
I.e. when the equal situation of any average similarity does not occur in whole sweep phase, then whole sub-period can be with It is considered as stable sub-period,
In formula, m is period of the day from 11 p.m. to 1 a.m segment number, βmFor step factor, βm∈ [0.5,1], LmIt is the cluster centre of m-th of sub-period The distance of the sample of cluster centre, L are only second to similaritymax,mBe m-th of sub-period cluster centre it is farthest to the sub-period The distance of sample, as include the maximum radius of all samples of m-th of sub-period.
Further, in the step c after the end of scan, scanned when having been carried out tolerance, and (n' β be presentmLm)tol< Lmax,m, then tolerate that the remaining sample beyond sweep radius is outlier, (n' βmLm)tolIt is the tolerance scanning half of m-th of sub-period Footpath,
When the end of scan, shown in the average similarity such as formula (5) of sample, occur continuous equal three times and n' β be presentmLm< Lmax,m, then the remaining sample not scanned is also considered as outlier,
Outlier constitutes threat to the Accurate Model of nominal situation down-sampled data, is removed before off-line modeling,
In the step c, carefully divided through step b period of the day from 11 p.m. to 1 a.m segment data, the sub-period that some samples occur not is them Sub-period corresponding to sample data sequence, these samples are referred to as misclassified gene,
The sub-period that sub-period where misclassified gene from current division is taken out and put back to where former sample sequence.
The beneficial effects of the invention are as follows:
(1) improved affine propagation clustering algorithm can more accurately disclose the mould between each sub-period of batch process State handoff procedure;
(2) similarity scanning algorithm of successively decreasing can further reflect that what mode inside each sub-period changed over time becomes Gesture;
(3) outlier and misclassified gene and respectively solution method corresponding to proposition are determined, improves the accurate of statistical modeling Degree;
(4) algorithm small scale, computing are simple, are easy to Project Realization.
Brief description of the drawings
Fig. 1 is batch process monitoring data processing method flow chart provided by the invention.
Fig. 2 is that the original monitoring data of batch process pre-processes schematic diagram.
Fig. 3 is that monitoring data divides implementing procedure figure in advance.
Fig. 4 is that similarity is successively decreased scanning algorithm implementation principle figure.
Fig. 5 is sub-period carefully Different Results figure caused by division.
Fig. 6 is the schematic diagram for determining and handling misclassified gene.
Fig. 7 is off-line modeling and on-line monitoring flow chart.
Fig. 8 (a) is that monitoring data divides design sketch in advance.
Fig. 8 (b) is that sub-period carefully divides design sketch.
Fig. 9 is traditional affine propagation clustering algorithm effect figure.
Figure 10 (a) is the T of method provided by the present invention under normal batch2Monitoring effect figure.
Figure 10 (b) is the SPE monitoring effect figures of method provided by the present invention under normal batch.
Figure 11 (a) is the T of the multidirectional principal component analytical method of tradition under normal batch2Monitoring effect figure.
Figure 11 (b) is the SPE monitoring effect figures of the multidirectional principal component analytical method of tradition under normal batch.
Figure 12 (a) is the T of method provided by the present invention2Failure monitoring design sketch.
Figure 12 (b) is the SPE failure monitoring design sketch of method provided by the present invention.
Figure 13 (a) is the T of the multidirectional principal component analytical method of tradition2Failure monitoring design sketch.
Figure 13 (b) is the SPE failure monitoring design sketch of the multidirectional principal component analytical method of tradition.
Embodiment
In order that those skilled in the art more fully understand technical scheme, below in conjunction with the accompanying drawings and most The present invention is described in further detail for good embodiment.
As shown in figure 1, batch process monitoring data division provided by the invention and statistical modeling method include entering in order Capable the following steps:
(1) data are carried out using improved affine propagation clustering algorithm to divide in advance;
Division needs to do original sampling data pretreatment as shown in Figure 2 first described data in advance, i.e., by original three Dimension monitoring data X (I × J × K) deploys along time shaft, obtains K timeslice matrix Xk(I × J), k=1,2 ..., K, then will Xk(I × J) standardization, centralization, obtain covariance matrix C corresponding to each timeslice successivelyk(J×J)。
Wherein, I represents batch, and J represents variable, and K represents the sampling time.
Described improved affine propagation clustering algorithm is to set the similarity of the input data of affine propagation clustering algorithm It is calculated as shown in formula (1):
In formula, s (i, k) is the input data similarity of improved affine propagation clustering algorithm, Ci(q, r) and Ck(q, r) table Show monitoring data any two timeslice matrix XiAnd XkCovariance matrix, J is the dimension of covariance matrix.
The described process divided in advance using improved affine propagation clustering algorithm progress data is as shown in Figure 3, it is assumed that institute State algorithm and monitoring data is divided into M sub-period altogether.The similarity of input data is calculated by formula (1).It is noted that formula (1) i ≠ k in, therefore, the similarity matrix diagonal entry s (k, k) of input is vacancy, then sets Λ (k)=s (k, k), Λ (k) represent deviation degree and value is identical.Λ (k) initial value is set to Λ0(k)=min (s (i, k)).
Shown in information transmission and rule of iteration such as formula (2)-(6):
rt(i, k)=(1- λ) × rt(i,k)+λ×rt-1(i,k) (5)
at(i, k)=(1- λ) × at(i,k)+λ×at-1(i,k) (6)
Wherein, t is iterations, and λ represents the concussion factor, and r (i, k) represents XkAs XiCluster centre evidence, a (i, K) X is referred toiSelect XkAppropriate level as its cluster centre.S (i, k'), a (i, k') and r (i', k) are samples in iterative process The renewal of this generation.Optimum cluster result can be obtained by Adaptive adjusting algorithm parameter, realize pre- stroke to monitoring data Point, obtain each cluster centre and corresponding sub-period.
(2) design similarity successively decrease scanning algorithm carry out period of the day from 11 p.m. to 1 a.m segment data carefully divide;
Described similarity successively decreases scanning algorithm as shown in figure 4, its principle is:
Pre- division is done to monitoring data using the method described in step (1), the result is that whole batch process data are drawn It is divided into different sub-periods.In order to further disclose the variation tendency of each sub-period built-in variable correlation, similarity is designed Scanning algorithm of successively decreasing investigates each sub-period, that is, does sub-period and carefully divide, and then judges the property of each sub-period, that is, determines every Individual sub-period stablizes sub-period or transition sub-period, or determines both when existing concurrently with steady component and transition portion Separation.Described similarity successively decreases scanning algorithm when doing sub-period and carefully dividing, by scanning and sub-period property determination two It is grouped into.
The successively decrease scanning theory of scanning algorithm of described similarity is:
Generally, sampled data is nearer apart from cluster centre, and similarity is higher, and correlation is stronger, and variance is smaller, turns into stable Partial possibility is bigger, based on this principle, illustrates that similarity is successively decreased scanning algorithm by taking m-th of sub-period as an example.M-th of son of note The cluster centre of period is Em, with EmFor the center of circle, EmThe distance L of the farthest sample data included to the sub-periodmax,mFor maximum Bound radius, thus form a circle for including all sample datas of the sub-period.In the sub-period, cluster centre is corresponding Sample point be self similarity, namely circle EmIt is interior, the sample that a similarity is only second to cluster centre is found out, is denoted as Am, and will EmAnd AmThe distance between be designated as Lm, then β is definedmLmm∈ [0.5,1] is with respect to fixed length scanning step, βmFor step factor.It is right In circle Em, cluster centre EmIt is set to the starting point of scanning, βmLmIt is set to unit sweep radius, namely the radius of first scan, it is later every Secondary scanning, sweep radius all increase a unit sweep radius.Each end of scan, record sample corresponding to Current Scan number The average similarity of data, is denoted as:
In formula, m represents period of the day from 11 p.m. to 1 a.m segment number, and n represents scanning times, and k represents sample number,Represent m-th of sub-period The average similarity of n-th scanning,The quantity of the sample obtained in being scanned from m-th of sub-period n-th is represented,Represent The similarity of m-th of sub-period, k-th of sample,
When the average similarity for finding adjacent twice sweep first is equal, it is designated asContinue to scan on, until Occur the equal situation of the average similarity of adjacent twice sweep for the second time, be designated asTolerance is now done to sweep Retouch.Tolerance factor α (α≤min { β are setILIIILII,…,βmLm,…,βMLM), and be added to Current Scan radius, i.e., The sweep radius of tolerance scanning is (n' βmLm)tol=n' βmLm+ α, the tolerance end of scan mean the scanning knot of whole sub-period Beam.
Illustrate that similarity is successively decreased scanning theory in conjunction with Fig. 4.In Fig. 4, stain and ash point represent different samples, βmTemporarily When value be 1.When with sweep radius 3LmWhen carrying out the 3rd scanning, any new sample is not scanned, and now existContinue to scan on until occurringThen tolerance scanning is done.Two dashdotted circle is enclosed It is tolerance region in region, the remainder beyond this region will be scanned no longer.Meanwhile if occur in scanning process continuous Scanning result is equal three times, i.e.,Scanning also terminates.
The successively decrease sub-period property determination principle of scanning algorithm of described similarity is:
According to scanning situation, each sub-period can further determine that out steady component and transition portion.Occur when first time When adjacent twice sweep result is equal, currently the variation tendency of scanning area sample is relatively more steady and correlation is of a relatively high, These samples can be considered as stablizing sample, collectively form a steady component.When adjacent second of the phase of twice sweep result of appearance Deng when, if it by sweep radius is (n' β to be situations such as this phasemLm)tol=n' βmLm+ α tolerance scanning then will come what is changed Transition portion is defined as by between sweep radius n βmLm(n' βmLm)tolBetween region sample composition;If such case
Condition with change is that sweep radius meets (n' βmLm)tol′> n' βmLm+ C α, C are arbitrary constants, then transition portion By sweep radius n βmLm(n'-1) βmLmBetween region include sample composition.Do not swept in Fig. 4, during the 5th end of scan Retouch any new sample and presenceIt is (5L then to implement sweep radiusm)tol=5Lm+ α tolerance is swept Retouch, and scan to a sample point, in tolerance region.After tolerating the end of scan, positioned at sweep radius 2LmWithin The sample composition steady component that stain represents.Sweep radius 2LmWhat the point into the region between tolerance sweep radius n' represented Sample collectively constitutes transition portion.If tolerance scanning does not obtain any new sample point, transition portion is only by scanning half Footpath 2LmAnd 4LmBetween sample into.The sample that two Grey Points represent in Fig. 4 is described further below.
Assuming that m-th of sub-period experienced n' scanning and finally implement tolerance scanning altogether in addition to tolerating and scanning, then If average similarity variation tendency is present
Wherein, n and n' refers both to scanning times and n'> n.Now, two kinds of situations as shown in formula (9) be present.For feelings Condition 1, the sample in region before steady component is scanned by n-th form, and transition portion positioned at n-th by scanning and tolerating scanning Between region sample into;For situation 2, the sample in region before steady component is still scanned by n-th forms, mistake Cross part then by positioned at n-th scanning (n-1) ' secondary scanning between region sample into.
Wherein,It is the average similarity of tolerance scanning.Meanwhile if average similarity variation tendency is expressed Shown in formula such as formula (10) and (11), i.e., when average similarity is continuous equal three times, n-th ' the secondary end of scan is no longer held Bear scanning, steady component is by sweep radius (n'-2) βmLmWithin sample composition, the remaining sample point not scanned be considered as from Group's point;Or when the equal situation of any average similarity does not occur in whole sweep phase, illustrate the similar of m-th sub-period Degree distribution is steady smooth, then whole sub-period can be considered as stable sub-period.
When meeting n' βmLm≤Lmax,m, and exist
Or work as and meet n' βmLm≥Lmax,m, and exist
Wherein, m is period of the day from 11 p.m. to 1 a.m segment number, βmFor step factor, βm∈ [0.5,1], LmIt is the cluster centre of m-th of sub-period The distance of the sample of cluster centre, L are only second to similaritymax,mBe m-th of sub-period cluster centre it is farthest to the sub-period The distance of sample, as include the maximum radius of all samples of m-th of sub-period.
The similarity successively decreases scanning algorithm when carefully being divided to sub-period, steady component and transition part in division result Five kinds of situations as shown in Figure 5 be present in the distribution divided:
1. transition portion occurs over just the starting position of sub-period.
2. transition portion occurs over just the end position of sub-period.
3. transition portion occurs in the beginning and end position of sub-period simultaneously.
4. whole sub-period is transition portion.After the end of scan, if it find that fall into the sample of stability region Quantity very little, is not enough to form independent steady component, then these stable sample points are included into current transition portion.
5. whole sub-period is steady component.If the quantity for falling into the sample of transitional region is few enough, structure is not enough to Into independent transition portion, then these transition samples are included into current steady component, or cluster result is good enough so that sweep There is not transition portion in the result retouched, the sub-period forms independent stable sub-period.
(3) outlier and misclassified gene are determined and separately designs its corresponding solution method;
The determination of described outlier and solution method are:
After the end of scan, if having been carried out tolerance scanning, and (n' β be presentmLm)tol< Lmax,m, then sweep radius is tolerated Remaining sample in addition is outlier.Wherein, (n' βmLm)tolIt is the tolerance sweep radius of m-th of sub-period.If the end of scan When, shown in the average similarity such as formula (10) of sample, occur continuous equal three times and n' β be presentmLm< Lmax,m, then do not scan To remaining sample be also considered as outlier.With reference to Fig. 4, the sector scanning radius position for the sample appearance that one of Grey Point represents In tolerance sweep radius (5Lm+ α) and maximum boundary radius Lmax,mBetween, then the sample point is identified as outlier.Another ash Color dot is apart from cluster centre EmFarthest point, is not also scanned, is considered as outlier.Because outlier is to nominal situation down-sampling The Accurate Model of data constitutes threat, therefore should be removed before off-line modeling.
Determination and the solution method of described misclassified gene are as shown in fig. 6, its concrete principle is:
Under normal circumstances, cluster result generally meets sample sequence.Because being compared with given sampled point, difference compared with Small sampled point is typically situated near given sampled point, and sample sequence is sufficiently spaced-apart the similar of two remote sampled points Degree is very low, and in most cases, they are the same sub-periods for not appearing in cluster, but is also occurred indivedual anti- Reason condition.Divided, the sub-period that some sample points occur not is sub-period corresponding to their sample sequence, then by these Sample point is referred to as misclassified gene.With reference to Fig. 6, illustrate by taking the monitoring data with four sub-periods as an example what be misclassified gene and How misclassified gene is handled.Fig. 6 shows any two misclassified gene, is designated as A respectivelyIII,I,AIII,IV.For sampled point AIII,I, it belongs to sub-period III according to sample sequence originally, but appears in sub-period I after cluster.Son is appeared in compared to it Interval I II situation, it is unusual, therefore referred to as misclassified gene.Sampled point AIII,IVAnd same situation.Due to all Monitoring data be all the batch process picked up under nominal situation, it is therefore necessary to by the son where misclassified gene from current division The sub-period that period takes out and put back to where former sample sequence.Presence in view of indivedual misclassified genes does not interfere with sub-period Thin division result, then the division of current sub-period and the atom period where it will not be changed by returning to the misclassified gene of atom period As a result, a sample under nominal situation is only corresponded to.The Fault Identification for being easy to batch process is so done, and then reduces failure Rate of false alarm.
(4) off-line modeling and on-line monitoring method are designed;
Described off-line modeling and on-line monitoring process is as shown in fig. 7, described off-line modeling is:
If m-th of subdivision includes kmIndividual timeslice, then these timeslices formed a three-dimensional matriceIt is deployed by variable direction, forms a two-dimensional matrixBy data processing, It can establish such as the analysis model of formula (12)-(16):
Wherein, TmAnd PmPrincipal component matrix and load matrix, t are represented respectivelymIt is score vector, EmRepresent residual matrix, em It is residual vector,And SPEmIt is statistic, SmIt is TmDiagonal matrix.
Described on-line monitoring is:
After off-line modeling completion, described on-line monitoring is realized according to the following steps, and then determine real-time sampling number According to whether unusual:
1. determine which subdivision is present sample data belong to;
2. standardize present sample data;
3. calculate T2With SPE statistics;
4. judge T2Whether transfinited with SPE statistics:If new statistic does not transfinite, production process is normal;Such as Fruit is transfinited, then triggers alarm and show that production process is abnormal.
(5) simulation result
In order to verify the validity of the batch process monitoring data division and statistical modeling method, the present invention uses steering wheel Platform carries out confirmatory experiment.The amplitude and frequency of this experiment current loop control are respectively set to 1.0A, 1.00HZ.It is real for protection Test for the sake of platform, this tests the data of 10 batches acquired altogether under nominal situation, 6 variables and 246 sampled points, shape Into monitoring data matrix X (10 × 6 × 246)
Fig. 8 is monitoring data division design sketch.In Fig. 8 (a), divided in advance by data, the running status of steering wheel can divide For 6 sub-periods, Fig. 8 (b) is the result that sub-period carefully divides.Fig. 9 is to use traditional affine propagation clustering algorithm implementing monitoring The contrast experiment of data division.Can be seen that improved affine propagation clustering algorithm from Fig. 8 (a) and Fig. 9 has good property Can, the monitoring data variation characteristic more suitable for disclosing complicated batch process.
The result divided according to data implements monitoring strategies, and does contrast in fact with the multidirectional principal component analytical method of tradition Test, experimental result is as shown in Figure 10 and Figure 11.From experimental result, divided and counted by the batch process monitoring data Modeling method, whole flight course is divided into different sub-periods, and each sub-period is further identified and divided, Steady component and transition portion are determined, and then improves the precision of data monitoring.Moreover, pass through contrast, the batch process Monitoring data divides and statistical modeling method is substantially better than the multidirectional principal component analytical method of tradition.
Further to verify the failure monitoring ability of the batch process monitoring data division and statistical modeling method, by one The sample that the sample sequence that kind of steering wheel fault type adds to a monitoring data batch at random is 109th-227th, described in implementation Algorithm and the failure monitoring for contrasting algorithm.It can be seen from Figure 12 (b) the SPE statistical values of the algorithm to added failure very Sensitivity, just transfinited since first fault sample.By contrast, in Figure 13 (b), divide when with the multidirectional principal component of tradition When analysis method does failure monitoring, SPE values just transfinite after two fault samples are postponed, and go out among fault sample sequence Failing to report phenomenon is showed, this explanation multidirectional principal component analytical method of tradition is to failure monitoring and insensitive.Pass through pair of two kinds of algorithms Understand that performance of the algorithm in batch process fault diagnosis is gratifying than experiment.
The preferred embodiments of the present invention are the foregoing is only, are not intended to limit the invention, for the skill of this area For art personnel, the present invention can have various modifications and variations.Within the spirit and principles of the invention, that is made any repaiies Change, equivalent substitution, improvement etc., should be included in the scope of the protection.

Claims (4)

1. a kind of batch process monitoring data processing method, it is characterised in that comprise the following steps:
A. data are divided into advance using improved affine propagation clustering algorithm;
B. design similarity successively decrease scanning algorithm carry out period of the day from 11 p.m. to 1 a.m segment data carefully divide, the property of each sub-period is judged, it is determined that sub Period stablizes sub-period or transition sub-period, or determines both points when existing concurrently with steady component and transition portion Boundary's point;
C. outlier and misclassified gene are determined, outlier is rejected before off-line modeling, by where misclassified gene from current division Sub-period takes out and puts back to sub-period where former sample sequence.
2. a kind of batch process monitoring data processing method according to claim 1, it is characterised in that in the step a Input data similarity formula in improved affine propagation clustering algorithm is:
<mrow> <mi>s</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>,</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>=</mo> <mo>-</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>q</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>J</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>r</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>J</mi> </munderover> <mo>|</mo> <msub> <mi>C</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>q</mi> <mo>,</mo> <mi>r</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>C</mi> <mi>k</mi> </msub> <mrow> <mo>(</mo> <mi>q</mi> <mo>,</mo> <mi>r</mi> <mo>)</mo> </mrow> <mo>|</mo> </mrow> <msup> <mi>J</mi> <mn>2</mn> </msup> </mfrac> <mo>,</mo> <mrow> <mo>(</mo> <mi>i</mi> <mo>,</mo> <mi>k</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>K</mi> <mi> </mi> <mi>a</mi> <mi>n</mi> <mi>d</mi> <mi> </mi> <mi>i</mi> <mo>&amp;NotEqual;</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
In formula, s (i, k) is the input data similarity of improved affine propagation clustering algorithm, Ci(q, r) and Ck(q, r) represents prison Control data any two timeslice matrix XiAnd XkCovariance matrix, J is the dimension of covariance matrix.
A kind of 3. batch process monitoring data processing method according to claim 1 or 2, it is characterised in that the step b Middle similarity successively decrease scanning algorithm implement scanning when, the average similarity formula for scanning obtained sample every time is:
<mrow> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mi>n</mi> </msubsup> <mo>=</mo> <mfrac> <mn>1</mn> <msubsup> <mi>N</mi> <mi>m</mi> <mi>n</mi> </msubsup> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <msubsup> <mi>N</mi> <mi>m</mi> <mi>n</mi> </msubsup> </munderover> <msubsup> <mi>S</mi> <mi>m</mi> <mi>k</mi> </msubsup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>
In formula, m represents period of the day from 11 p.m. to 1 a.m segment number, and n represents scanning times, and k represents sample number,Represent m-th of sub-period n-th The average similarity of scanning,The quantity of the sample obtained in being scanned from m-th of sub-period n-th is represented,Represent m-th The similarity of k-th of sample of sub-period,
To m-th of period of the day from 11 p.m. to 1 a.m, the distribution situation of the average similarity obtained according to scanning, it is being terminated with Current Scan step scan Afterwards, implement tolerance scanning, i.e., tried again scanning with the step-length in the tolerance less than Current Scan step-length, it is scanned afterwards Journey terminates, and is scanned when m-th of sub-period experienced n' scanning and finally implement tolerance altogether in addition to tolerating and scanning, average phase Exist like degree variation tendency
<mrow> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mn>1</mn> </msubsup> <mo>&gt;</mo> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mn>2</mn> </msubsup> <mo>&gt;</mo> <mn>...</mn> <mo>&gt;</mo> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>=</mo> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mi>n</mi> </msubsup> <mo>&gt;</mo> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mrow> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msubsup> <mn>...</mn> <mo>&gt;</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mi>n</mi> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
Wherein, n and n' refers both to scanning times and n'> n, now, two kinds of situations as shown in formula (4) be present:
For case 1, the sample in region before steady component is scanned by n-th forms, and transition portion positioned at n-th by sweeping Retouch and tolerate scanning between region sample into;
For case 2, the sample in region before steady component is still scanned by n-th forms, and transition portion is then by positioned at n-th It is secondary scanning (n-1) ' secondary scanning between region sample into,
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mi>n</mi> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>&gt;</mo> <msup> <mrow> <mo>(</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mi>n</mi> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>)</mo> </mrow> <mrow> <mi>t</mi> <mi>o</mi> <mi>l</mi> </mrow> </msup> <mo>,</mo> </mrow> </mtd> <mtd> <mrow> <mi>c</mi> <mi>a</mi> <mi>s</mi> <mi>e</mi> <mn>1</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mi>n</mi> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <msup> <mrow> <mo>(</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mi>n</mi> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>)</mo> </mrow> <mrow> <mi>t</mi> <mi>o</mi> <mi>l</mi> </mrow> </msup> <mo>.</mo> </mrow> </mtd> <mtd> <mrow> <mi>c</mi> <mi>a</mi> <mi>s</mi> <mi>e</mi> <mn>2</mn> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
Wherein,It is the average similarity of tolerance scanning,
When meeting n' βmLm≤Lmax,m, and exist
<mrow> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mn>1</mn> </msubsup> <mo>&gt;</mo> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mn>2</mn> </msubsup> <mo>&gt;</mo> <mn>...</mn> <mo>&gt;</mo> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>&gt;</mo> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mi>n</mi> </msubsup> <mo>&gt;</mo> <mn>...</mn> <mo>&gt;</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>2</mn> </mrow> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mi>n</mi> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
I.e. when average similarity is continuous equal three times, n-th ' the secondary end of scan no longer carries out tolerance scanning, and steady component is by sweeping Retouch radius (n'-2) βmLmWithin sample composition, the remaining sample point not scanned is considered as outlier;
When meeting n' βmLm≥Lmax,m, and exist
<mrow> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mn>1</mn> </msubsup> <mo>&gt;</mo> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mn>2</mn> </msubsup> <mo>&gt;</mo> <mo>...</mo> <mo>&gt;</mo> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>&gt;</mo> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mi>n</mi> </msubsup> <mo>&gt;</mo> <mo>...</mo> <mo>&gt;</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>2</mn> </mrow> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>&gt;</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>&gt;</mo> <msup> <msubsup> <mi>S</mi> <mrow> <mi>a</mi> <mi>v</mi> <mi>e</mi> <mo>,</mo> <mi>m</mi> </mrow> <mi>n</mi> </msubsup> <mo>&amp;prime;</mo> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
I.e. when the equal situation of any average similarity does not occur in whole sweep phase, then whole sub-period can be considered as Stable sub-period;
In formula, m is period of the day from 11 p.m. to 1 a.m segment number, βmFor step factor, βm∈ [0.5,1], LmIt is the cluster centre of m-th of sub-period to phase The distance of the sample of cluster centre, L are only second to like degreemax,mIt is the cluster centre of m-th of sub-period to the farthest sample of the sub-period Distance, as include the maximum radius of all samples of m-th of sub-period.
4. a kind of batch process monitoring data processing method according to claim 3, it is characterised in that in the step c After the end of scan, scanned when having been carried out tolerance, and (n' β be presentmLm)tol< Lmax,m, then the remaining sample beyond sweep radius is tolerated This is outlier, (n' βmLm)tolIt is the tolerance sweep radius of m-th of sub-period,
When the end of scan, shown in the average similarity such as formula (5) of sample, occur continuous equal three times and n' β be presentmLm< Lmax,m, then the remaining sample not scanned is also considered as outlier,
Outlier constitutes threat to the Accurate Model of nominal situation down-sampled data, is removed before off-line modeling,
In the step c, carefully divided through step b period of the day from 11 p.m. to 1 a.m segment data, the sub-period that some samples occur not is their sampling Sub-period corresponding to data sequence, these samples are referred to as misclassified gene,
The sub-period that sub-period where misclassified gene from current division is taken out and put back to where former sample sequence.
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