CN113781758A - Variable collaborative dynamic alarm threshold optimization method for high-end coal-fired power generation equipment - Google Patents

Variable collaborative dynamic alarm threshold optimization method for high-end coal-fired power generation equipment Download PDF

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CN113781758A
CN113781758A CN202111043133.3A CN202111043133A CN113781758A CN 113781758 A CN113781758 A CN 113781758A CN 202111043133 A CN202111043133 A CN 202111043133A CN 113781758 A CN113781758 A CN 113781758A
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alarm threshold
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赵春晖
赵诣
李清毅
王文海
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Zhejiang University ZJU
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    • GPHYSICS
    • G08SIGNALLING
    • G08BSIGNALLING OR CALLING SYSTEMS; ORDER TELEGRAPHS; ALARM SYSTEMS
    • G08B29/00Checking or monitoring of signalling or alarm systems; Prevention or correction of operating errors, e.g. preventing unauthorised operation
    • G08B29/18Prevention or correction of operating errors
    • G08B29/185Signal analysis techniques for reducing or preventing false alarms or for enhancing the reliability of the system
    • GPHYSICS
    • G08SIGNALLING
    • G08BSIGNALLING OR CALLING SYSTEMS; ORDER TELEGRAPHS; ALARM SYSTEMS
    • G08B29/00Checking or monitoring of signalling or alarm systems; Prevention or correction of operating errors, e.g. preventing unauthorised operation
    • G08B29/18Prevention or correction of operating errors
    • G08B29/20Calibration, including self-calibrating arrangements
    • G08B29/24Self-calibration, e.g. compensating for environmental drift or ageing of components

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Abstract

The invention discloses a variable collaborative dynamic alarm threshold optimization method for high-end coal-fired power generation equipment. The invention considers the variable collaborative dynamic alarm threshold optimization under the non-steady variable working condition operation aiming at the coal mill equipment in the high-end coal-fired power generation process. The historical normal data of the non-stationary process is divided into a plurality of working conditions (including a stationary state and a transition process) by means of a time sequence segmentation and ordered clustering method, and each working condition is mathematically represented by a multivariate Gaussian distribution model. And during online, classifying the current data to the working condition according to a sequential segmentation and sequential clustering method, and selecting a multivariate Gaussian model of the current working condition so as to design a threshold value according to the conditional probability. The method can meet the requirement of accurate alarm under the full working condition, and has great significance for ensuring the safe operation of the process and the safety of personnel.

Description

Variable collaborative dynamic alarm threshold optimization method for high-end coal-fired power generation equipment
Technical Field
The invention belongs to the field of alarm management in a non-stable high-end coal-fired power generation process, and particularly relates to a variable collaborative dynamic alarm threshold optimization method.
Background
The alarm system plays an important role in safe and efficient operation of modern industrial processes. Such as Distributed Control Systems (DCS) and supervisory control and data acquisition Systems (SCADA), compare some important process variables in real time with their configured high (low) alarm thresholds and trigger an alarm to notify operators if the variables exceed the thresholds.
Generally, the alarm threshold is determined according to factory protection fixed values or carefully during debugging, and if the alarm threshold is not properly set, false alarm and false alarm can occur, so that the performance of the whole alarm system is concerned. However, after an industrial process is put into production operation, regular, large-scale maintenance and modification of alarm thresholds is lacking. At present, the common problem of the existing alarm system is that the alarm is inundated, and the generated alarm is divided into an interference alarm and a correct alarm. First, a large number of alarms fall into the category of nuisance alarms, which do not provide any useful information and are merely distracting to the operator. Secondly, even if all alarms are correct, the operator cannot process a large amount of alarm information in a short time, and can only ignore many alarms that have occurred. When a serious disaster really occurs, the fault source is probably buried in a large number of alarms and cannot be positioned and responded in time.
Aiming at the problem of alarm flooding of the alarm system, the academic world provides a plurality of threshold optimization design methods based on mathematical statistics, such as the most classical three-time standard deviation rule. Another mainstream threshold design idea is to balance the false alarm rate and the false alarm rate, and the threshold design at this time is actually an optimization problem. However, the threshold design methods are all from a univariate perspective, and the inherent coupling of the industrial process is ignored. The characteristic is not ignored when the alarm threshold value is designed, otherwise, the false alarm rate and the missing alarm rate are easily caused. Therefore, from the perspective of variable cooperation, a scholars respectively calculate the correlation between two or more process variables and alarm data, and set a threshold value to make the difference as small as possible, which indicates that the alarm condition relatively reflects the process characteristic, but cannot dynamically optimize the threshold value according to different working conditions.
Disclosure of Invention
The invention aims to provide a variable collaborative dynamic alarm threshold value optimization method for high-end coal-fired power generation equipment aiming at unreasonable design of the existing alarm threshold value. According to the method, the fact that a fixed threshold cannot adapt to different working conditions is considered, historical normal data of a non-stationary process are divided into a plurality of working conditions (including a steady state process and a transition process) by means of a time sequence segmentation and ordered clustering method, each working condition is represented by a multivariate Gaussian model, and each process variable under the working conditions estimates a dynamic threshold under the condition of taking values of other current variables by means of conditional probability distribution. And during online, classifying the current data to the working condition according to a sequential segmentation and sequential clustering method, and selecting a multivariate Gaussian model of the current working condition so as to design a threshold value according to the conditional probability. The invention provides a new analysis idea for threshold optimization work in a non-steady process, and the method can meet accurate alarm under all working conditions and has great significance for ensuring safe operation of the process and personnel safety.
The purpose of the invention is realized by the following technical scheme:
a variable collaborative dynamic alarm threshold optimization method for high-end coal-fired power generation equipment comprises the following steps:
(1) obtaining non-stationary process data: acquiring T (T is 1, 2,.. T) continuous sampling data of J process variables during normal operation of high-end coal-fired power generation equipment, wherein a two-dimensional data matrix of the T (T × J) continuous sampling data is represented as X (T × J);
(2) clustering the non-stationary process data obtained in the step (1) by utilizing a time sequence segmentation and ordered clustering method to divide the working condition classes, and obtaining the mathematical representation of the multivariate Gaussian distribution of each working condition class
Figure BDA0003250191460000021
Wherein, muiExpressed as the mean, Σ, of the i-th operating condition classiExpressed as covariance for the ith condition class.
(3) Acquiring new process variable data x of high-end coal-fired power generation equipment in real time during operationnew(1 XJ) for xnew(1 XJ) sequence expansion is carried out to obtain { xnew-ω+1,…,xnewω is the order of timing expansion; and distributing the current new process variable data through the step E of the sequential segmentation and sequential clustering methodEntering a certain working condition category i clustered in the step (2);
(4) based on the multivariate Gaussian distribution corresponding to the working condition categories, variable collaborative threshold design is carried out on the process variable data after the time sequence expansion, and the method specifically comprises the following steps: representing the set of process variables in the J omega dimension as the variable x currently being thresholded1And x is removed1X of all process variables other than2Combination of
Figure BDA0003250191460000031
Wherein x1The dimension is 1; x is the number of2The dimension is J omega-1;
the mean vector is correspondingly split into:
Figure BDA0003250191460000032
the covariance matrix is correspondingly split into:
Figure BDA0003250191460000033
therein, sigma11Represents the variable x1And variable x1Of (a) covariance matrix, ∑12Represents the variable x1With other variables x2Of (a) covariance matrix, ∑21Representing other variables x2And variable x1Of (a) covariance matrix, ∑11Representing other variables x2With other variables x2The covariance matrix of (2).
Variable x1In other variables x2When values are given, the condition Gaussian distribution is presented:
Figure BDA0003250191460000034
wherein the conditional mean is:
Figure BDA0003250191460000035
the conditional variance is:
Figure BDA0003250191460000036
determining a variable x from a conditional Gaussian distribution1And (3) designing variable cooperative threshold values for each variable one by one to obtain the alarm threshold values of all the variables.
Further, in step 1, measuring the variable includes: coal feeding amount, coal mill current, rotary separator current, outlet pressure, inlet primary air temperature, inlet primary air pressure, sealing air pressure and outlet air-powder mixture temperature.
Further, the step 2 is realized by the following substeps:
(2.1) parameter selection: determining the category number I, the time sequence expansion order omega, a norm regularization parameter lambda and a time sequence consistency constraint coefficient beta in advance by combining Bayesian Information Criterion (BIC) indexes and mechanisms;
(2.2) clustering: expanding the order omega according to the selected time sequence, each sample x in the non-stationary process datatIs time-sequence expanded to { xt-ω+1,…,xtForm (E) }; the two-dimensional data matrix of non-stationary process data is denoted as X (T × J ω); clustering is carried out according to a time sequence segmentation and ordered clustering method, and a multivariate Gaussian distribution representation corresponding to I (I is 1, 2
Figure BDA0003250191460000041
Further, in the step 4, the variable x is determined according to the conditional gaussian distribution1The alarm threshold value specifically is as follows:
if the confidence is 95%, x1High alarm threshold of1|2+2∑1|2Low alarm threshold is mu1|2-2∑1|2
Compared with the prior art, the invention has the beneficial effects that: the invention provides a new research idea for the alarm variable threshold optimization technology of the high-end coal-fired power generation non-steady operation process data. The original non-stationary operation data is reconstructed into a plurality of stationary working condition sections based on the working condition indicating variables, probability statistics is carried out in each section, and the threshold value under the working condition is obtained. When the method is applied on line, the corresponding threshold value is matched according to the value of the working condition indicating variable, dynamic threshold value setting is realized according to the current working condition, and the method is favorable for reducing misinformation. The method is fully experimental research aiming at actual industrial data and is successfully applied.
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FIG. 1 is a flow chart of variable collaborative dynamic alarm threshold optimization according to the present invention.
Fig. 2 is a schematic diagram of the working condition modal division result and the corresponding threshold value according to the present invention.
FIG. 3 is a graph of the results of the application of fault data with threshold optimization in accordance with the present invention.
FIG. 4 is a graph of results of a conventional non-threshold optimized fault data application.
Detailed Description
The invention deeply considers the characteristics of multi-working-condition operation and variable coupling of high-end coal-fired power generation equipment, adopts an ordered segmentation and clustering method to divide working conditions, further realizes variable collaborative alarm threshold design through multivariate Gaussian distribution representation, and provides a variable collaborative alarm threshold optimization method facing the high-end coal-fired power generation equipment. The invention is further described with reference to the following drawings and specific examples.
The invention provides a single variable alarm threshold value optimization method for non-steady operation of high-end coal-fired power generation equipment, which comprises the following steps:
(1) obtaining non-stationary process data: in this example, about 24480 samples were collected for modeling, with 8 measured variables: coal feeding amount, coal mill current, rotary separator current, outlet pressure, inlet primary air temperature, inlet primary air pressure, sealing air pressure and outlet air-powder mixture temperature. 2000 samples are collected in the fault set, wherein the fault starting time is 674 th sample, and the fault set is used for checking the alarm performance of the threshold optimization method, wherein the fault is that the outlet temperature of the coal mill is low.
(2) The working condition is divided by using a time sequence segmentation and order Clustering method (Toeplitz Inverse Covariance-Based Clustering, TICC), and the step is realized by the following sub-steps:
(2.1) parameter selection: determining the category number 6, the time sequence expansion order omega of 3, the one-norm regularization parameter lambda of 0.11 and the time sequence consistency constraint coefficient beta of 15 in advance by combining Bayesian Information Criterion (BIC) indexes and mechanisms;
(2.2) clustering: expanding the order omega according to the selected time sequence, each sample x in the non-stationary process datatAre all time-sequentially expanded into xt-2,xt-1,xtForm (E) }; the two-dimensional data matrix of non-stationary process data is denoted as X (T × J ω); clustering is carried out according to a time sequence segmentation and ordered clustering method, and a multivariate Gaussian distribution representation corresponding to I (I is 1, 2
Figure BDA0003250191460000061
And a category label i corresponding to each sample time t; here muiExpressed as the mean, Σ of the ith classiCovariance expressed as ith class; therefore, different categories can be regarded as different working conditions of a non-stationary process, and the mathematical representation of the multivariate Gaussian distribution of the non-stationary process is obtained;
therefore, each process variable under the working condition can estimate the dynamic threshold under the current value of other variables by means of conditional probability distribution. The variable collaborative threshold design method specifically comprises the following steps: taking a certain sample time t as an example, selecting a corresponding multivariate Gaussian distribution model according to the class label i
Figure BDA0003250191460000062
Then the process variable set in the J omega dimension
Figure BDA0003250191460000063
Wherein x1The dimension of the variable designed for the current threshold value is 1; x is the number of2Is divided by x1All process variables except for the process variable, the dimension is J omega-1;
the mean vector is correspondingly split into:
Figure BDA0003250191460000064
the covariance matrix is correspondingly split into:
Figure BDA0003250191460000065
variable x1In other variables x2When values are given, the condition Gaussian distribution is presented:
Figure BDA0003250191460000066
wherein the conditional mean is:
Figure BDA0003250191460000067
the conditional variance is:
Figure BDA0003250191460000068
further determining variable x according to conditional Gaussian distribution1The alarm threshold value of (2) is, in this embodiment, 95% confidence level, x1High alarm threshold of1|2+2∑1|2Low alarm threshold is mu1|2-2∑1|2(ii) a Performing variable collaborative threshold design on each variable one by one, namely taking the variable to be subjected to threshold design currently as x1Remove x1All process variables except for x2Determining a high alarm threshold value and a low alarm threshold value according to the current step;
(3) when the method is used online, the method specifically comprises the following steps:
(3.1) acquiring new sample data of the process variable and identifying the working condition: collecting new process variable data xnew(1 xj), wherein the subscript new represents a new sample; reference step(2.2) for xnew(1 XJ) sequence expansion is carried out to obtain { xnew-ω+1,…,xnewAllocating the current sample to a certain working condition type i through a step E of a sequential segmentation and ordered clustering method algorithm;
(3.2) alarm threshold selection: design method of x according to variable collaborative thresholdnew-ω+1,…,xnewAnd
Figure BDA0003250191460000071
substituting the formulas (2) to (5), and calculating high alarm threshold values and low alarm threshold values of all process variables at the current moment one by one;
(3.3) judging the process running state on line: comparing the current values of the high and low alarm thresholds and the corresponding variables in real time; when any variable value exceeds the threshold range, the alarm information of the variable is triggered, and the field check is needed.
The following is the result of online monitoring of fault samples using the threshold optimization method of the present invention and the conventional method to further illustrate the effect of the present invention:
a section of normal data is selected and modeled by a sequential segmentation and ordered clustering method, the clustering result is shown as the attached figure 2, 6 types of working conditions and respective covered sample ranges are obtained, the horizontal coordinate in the figure is the sample time, and the vertical coordinate is the corresponding type of each time.
The results are shown in fig. 3, following the online application of a 2000 sample number of fault samples. As can be seen from fig. 3, the threshold is dynamically adjusted as the operating conditions switch, and the inherent coupling between variables is taken into account.
In contrast, the same section of fault sample is applied online with a non-optimized threshold, and the results are shown in fig. 4. According to calculation, during the fault period, the alarm rate of threshold optimization is 86.7%, and the alarm rate of non-threshold optimization is 92.9%; during normal operation, the false alarm rate with threshold optimization is 3.7%, and the alarm rate without threshold optimization is 37.5%. The method can flexibly and dynamically adjust the threshold value along with the switching of the working conditions, effectively reduce the false alarm rate and also have good fault detection performance.
Generally speaking, the time sequence segmentation-based ordered clustering and condition threshold calculation method provided by the invention considers the characteristic that different working conditions of a non-stationary process have great influence on data distribution, can dynamically select a proper working condition model, and calculates the condition threshold based on the multivariate Gaussian distribution representation of each working condition, thereby being beneficial to reducing false alarm and improving the performance of an alarm system.
It should be understood that the present invention is not limited to the coal pulverizer process in the high end coal-fired power plant of the above-described embodiment, and that equivalent modifications or substitutions may be made by those skilled in the art without departing from the spirit of the present invention, and such equivalent modifications or substitutions are intended to be included within the scope of the present invention as defined by the appended claims.

Claims (4)

1. A variable collaborative dynamic alarm threshold optimization method for high-end coal-fired power generation equipment is characterized by comprising the following steps:
(1) obtaining non-stationary process data: acquiring T (T is 1, 2,.. T) continuous sampling data of J process variables during normal operation of high-end coal-fired power generation equipment, wherein a two-dimensional data matrix of the T (T × J) continuous sampling data is represented as X (T × J);
(2) clustering the non-stationary process data obtained in the step (1) by utilizing a time sequence segmentation and ordered clustering method to divide the working condition classes, and obtaining the mathematical representation of the multivariate Gaussian distribution of each working condition class
Figure FDA0003250191450000011
Wherein, muiExpressed as the mean, Σ, of the i-th operating condition classiExpressed as covariance for the ith condition class.
(3) Acquiring new process variable data x of high-end coal-fired power generation equipment in real time during operationnew(1 XJ) for xnew(1 XJ) sequence expansion is carried out to obtain { xnew-ω+1,…,xnewω is the order of timing expansion; distributing the current new process variable data to a certain working condition category i clustered in the step (2) through a step E of a sequential segmentation and ordered clustering method;
(4) based on the multivariate Gaussian distribution corresponding to the working condition categories, variable collaborative threshold design is carried out on the process variable data after the time sequence expansion, and the method specifically comprises the following steps: representing the set of process variables in the J omega dimension as the variable x currently being thresholded1And x is removed1X of all process variables other than2Combination of
Figure FDA0003250191450000012
Wherein x1The dimension is 1; x is the number of2The dimension is J omega-1;
the mean vector is correspondingly split into:
Figure FDA0003250191450000013
the covariance matrix is correspondingly split into:
Figure FDA0003250191450000014
therein, sigma11Represents the variable x1And variable x1Of (a) covariance matrix, ∑12Represents the variable x1With other variables x2Of (a) covariance matrix, ∑21Representing other variables x2And variable x1Of (a) covariance matrix, ∑11Representing other variables x2With other variables x2The covariance matrix of (2).
Variable x1In other variables x2When values are given, the condition Gaussian distribution is presented:
Figure FDA0003250191450000021
wherein the conditional mean is:
Figure FDA0003250191450000023
the conditional variance is:
Figure FDA0003250191450000024
determining a variable x from a conditional Gaussian distribution1And (3) designing variable cooperative threshold values for each variable one by one to obtain the alarm threshold values of all the variables.
2. The variable collaborative dynamic alarm threshold optimization method for high-end coal-fired power generation equipment according to claim 1, wherein in the step 1, measuring the variable comprises: coal feeding amount, coal mill current, rotary separator current, outlet pressure, inlet primary air temperature, inlet primary air pressure, sealing air pressure and outlet air-powder mixture temperature.
3. The variable collaborative dynamic alarm threshold optimization method for high-end coal-fired power generation equipment according to claim 1, wherein the step 2 is implemented by the following substeps:
(2.1) parameter selection: determining the category number I, the time sequence expansion order omega, a norm regularization parameter lambda and a time sequence consistency constraint coefficient beta in advance by combining Bayesian Information Criterion (BIC) indexes and mechanisms;
(2.2) clustering: expanding the order omega according to the selected time sequence, each sample x in the non-stationary process datatIs time-sequence expanded to { xt-ω+1,…,xtForm (E) }; the two-dimensional data matrix of non-stationary process data is denoted as X (T × J ω); clustering is carried out according to a time sequence segmentation and ordered clustering method, and a multivariate Gaussian distribution representation corresponding to I (I is 1, 2
Figure FDA0003250191450000022
4. Variable collaborative dynamic reporting for high-end coal-fired power generation equipment according to claim 1The alarm threshold optimization method is characterized in that in the step 4, the variable x is determined according to the conditional Gaussian distribution1The alarm threshold value specifically is as follows:
if the confidence is 95%, x1High alarm threshold of1|2+2∑1|2Low alarm threshold is mu1|2-2∑1|2
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