This application claims the benefit of priority to Japanese Patent Application Number 2020-125085 filed on Jul. 22, 2020. The entire contents of the above-identified application are hereby incorporated by reference.
The disclosure relates to an anomaly factor estimation method, an anomaly factor estimating device, and a program.
A variety of apparatuses are used in power generation facilities, boilers, gas turbines, chemical plants, and the like. There is a demand for detecting an anomaly (e.g., fault or fault precursors) of these apparatuses and estimating the factors for the anomaly.
For example, JP 2006-99298 A discloses an apparatus fault diagnostic method (estimation method) for estimating a fault factor and a fault site using a fault tree (FT) diagram including a plurality of factors and a weighting point for each factor based on know-how of a technician. Also known is an estimation method in which an anomaly of an apparatus is detected using the Mahalanobis-Taguchi method, and an occurrence event and a factor of the anomaly are estimated by referring to the signal-to-noise ratio gain value of the sensor measurement value that contributed to an increase in the Mahalanobis distance.
The above-described conventional estimation methods are methods for estimating an anomaly factor by determining the reliability of each factor and selecting a reliable factor from among the factors. In practice, however, an anomaly of the apparatus may occur due to interaction among a plurality of factors, and a plurality of factors may coexist as factors for an anomaly. Therefore, estimating anomaly factors based on computation results for each factor (absolute evaluation) may decrease the estimation accuracy for anomaly factors.
In light of the foregoing, an object of the present disclosure is to provide an anomaly factor estimation method and the like capable of improving the estimation accuracy for anomaly factors.
An anomaly factor estimation method according to the present disclosure includes the steps of:
calculating, based on a factor table indicating an occurrence frequency of each of factors for each of events, a prior probability that is a probability for each factor to occur;
calculating a posterior probability that is a probability for a certain event to be caused by a certain factor; and
multiplying the posterior probability by a weighting coefficient relating to a signal-to-noise ratio gain value of a sensor measurement value, and calculating an index indicating an occurrence probability for each combination of the factors and the events.
An anomaly factor estimating device according to the present disclosure includes:
a prior probability calculating unit configured to calculate, based on a factor table indicating an occurrence frequency of each of factors for each of events, a prior probability that is a probability for each factor to occur;
a posterior probability calculating unit configured to calculate a posterior probability that is a probability for a certain event to be caused by a certain factor; and
an index calculating unit configured to multiply the posterior probability by a weighting coefficient relating to a signal-to-noise ratio gain value of a sensor measurement value, and calculate an index indicating an occurrence probability for each combination of the factors and the events.
A program according to the present disclosure causes a computer to execute the procedures of:
calculating, based on a factor table indicating an occurrence frequency of each of factors for each of events, a prior probability that is a probability for each factor to occur;
calculating a posterior probability that is a probability for a certain event to be caused by a certain factor; and
multiplying the posterior probability by a weighting coefficient relating to a signal-to-noise ratio gain value of a sensor measurement value, and calculating an index indicating an occurrence probability for each combination of the factors and the events.
According to the present disclosure, an anomaly factor estimation method and the like capable of improving the estimation accuracy for anomaly factors can be provided.
The disclosure will be described with reference to the accompanying drawings, wherein like numbers reference like elements.
An embodiment will be described hereinafter with reference to the appended drawings. However, dimensions, materials, shapes, relative positions and the like of components described in the embodiments or illustrated in the drawings shall be interpreted as illustrative only and not intended to limit the scope of the invention.
For instance, an expression of relative or absolute arrangement such as “in a direction”, “along a direction”, “parallel”, “orthogonal”, “centered”, “concentric” and “coaxial” shall not be construed as indicating only the arrangement in a strict literal sense, but also includes a state where the arrangement is relatively displaced by a tolerance, or by an angle or a distance within a range in which it is possible to achieve the same function.
For instance, an expression of an equal state such as “same”, “equal”, “uniform” and the like shall not be construed as indicating only the state in which the feature is strictly equal, but also includes a state in which there is a tolerance or a difference within a range where it is possible to achieve the same function.
Further, for instance, an expression of a shape such as a rectangular shape, a cylindrical shape or the like shall not be construed as only the geometrically strict shape, but also includes a shape with unevenness, chamfered corners or the like within the range in which the same effect can be achieved.
On the other hand, an expression such as “comprise”, “include”, “have”, “contain” and “constitute” are not intended to be exclusive of other constituent elements.
An overall configuration of an anomaly factor estimating device 100 according to an embodiment will be described.
For example, as illustrated in
Hereinafter, the flow of processing performed by the anomaly factor estimating device 100 according to an embodiment will be described.
As illustrated in
As illustrated in
Here, an example in which a weighting coefficient is acquired by threshold processing will be described.
The weighting coefficient acquisition unit 102 may use the sensor table illustrated in
Occurrence events include, for example, an axial vibration of a gas turbine and an abnormal increase in an exhaust gas temperature. Factors include, for example, as far as an increase in the exhaust gas temperature is concerned, shortage in cooling air and sensor malfunction. Narrowing down in this manner is beneficial because while some occurrence events and factors are in an obvious one-to-one correspondence, there are also events that occur due to combined factors.
The weighting coefficient acquisition unit 102 may acquire the calculation results shown in
The weighting coefficient acquisition unit 102 may acquire A values from the calculation results shown in
As illustrated in
The B value is a value obtained by filtering the A value by a threshold value for signal-to-noise ratio gain values. Specifically, the B value is a value obtained by setting the A value to 0 if the A value is equal to or less than the threshold value for signal-to-noise ratio gain values, and using the A value as is if the A value is greater than the threshold value for signal-to-noise ratio gain values. For example, the occurrence event 1 has a B value of 0 because the A value is 2.2, which is equal to or less than 3; and the occurrence event 2 has a B value of 5.1 because the A value is 5.1, which is greater than 3.
The weighting coefficient acquisition unit 102 may acquire a C value of each occurrence event using the B value as shown in
An example in which a weighting coefficient is acquired by threshold processing has been described above. However, the procedure for acquiring the weighting coefficient by threshold processing is not limited to the above-described example. For example, the weighting coefficient acquisition unit 102 may perform threshold processing on the signal-to-noise ratio gain values shown in
Using such weighting coefficients in the computation of the index described below cannot only allow computation to be performed solely for any event and any factor that have a signal-to-noise ratio gain value greater than a reference value, but also allow the size relationship of the magnitude of signal-to-noise ratio gain values to be reflected in the weighting coefficients and these weighting coefficients to be used for computation. Therefore, the size relationship of the magnitude of signal-to-noise ratio gain values can be made conspicuous.
As illustrated in
Information contained in the factor table also includes information such as events that rarely occur, special events, and events whose occurrence factors are unknown. When such information is used in estimating anomaly factors, there is a risk that the accuracy may decrease. Therefore, the prior probability calculating unit 103 may be configured to extract and use, from among the information contained in the factor table, information relating to any event and any factor that are associated with a sensor measurement value having a greater signal-to-noise ratio gain value than a reference value. In this case, high accuracy is achieved because prior probabilities and posterior probabilities can be calculated by narrowing down the information contained in the factor table to information relating to any event and any factor that are associated with a sensor measurement value having a greater signal-to-noise ratio gain value than the reference value. Note that the prior probability calculating unit 103 may be configured to calculate prior probabilities directly from the factor table without performing such extraction.
As illustrated in
The likelihood is calculated, in the extraction results of the factor table shown in
The posterior probability calculating unit 104 may calculate posterior probabilities using such likelihoods.
The posterior probability P(Rj|Fi) in cases where there are n factors is calculated from the following formula:
P(Rj|Fi)=P(Fi|Rj)·P(Rj)/(P(Fi|R1)·P(R1)+P(Fi|R2)·P(R2)+ . . . +P(Fi|Rn)·P(Rn)).
In this manner, posterior probabilities are computed by a mathematical formula that also takes into account cases where a certain event occurs due to a plurality of factors (R1 to Rn).
Note that, for example, in
P(R1|F2)=P(F2|R1)·P(R1)/(P(F2|R1)·P(R1)+P(F2|R2)·P(R2)+P(F2|R3)·P(R3)+P(F2|R4)·P(R4)+P(F2|R5)·P(R5)+P(F2|R6)·P(R6)+P(F2|R7)·P(R7)+P(F2|R8)·P(R8))=0.357143.
Note that in
As illustrated in
First, specific examples of the former will be described.
For example, an index indicating the occurrence probability for the occurrence event 1 to occur due to the factor 2 is 0 because it is the product of the posterior probability, which is 0, and the C value, which is 0. An index indicating the occurrence probability for the occurrence event 2 to occur due to the factor 2 is 2.25 because it is the product of the posterior probability, which is 0.53714, and the C value, which is 4.2. In this manner, an index indicating each of the occurrence probabilities is calculated by multiplying the C value corresponding to each occurrence event shown in
Note that in
Next, specific examples of the latter will be described.
As illustrated in
The flow of processing performed by the anomaly factor estimating device 100 according to an embodiment has been described above with reference to
Furthermore, the anomaly factor estimating device 100 may calculate indexes indicating occurrence probabilities using a table indicating posterior probabilities that have been acquired in advance, without using a factor table or calculating prior probabilities, likelihoods, and posterior probabilities. In this case, steps S3 and S4 may be omitted. However, the factor table and tables indicating prior probabilities, likelihoods, posterior probabilities, and the like are preferably updated to reflect the most recent information. Such update processing may be performed automatically by the anomaly factor estimating device 100 or may be performed by the user's manual input. In cases where there are frequent updates, it is preferable to calculate prior probabilities, likelihoods, and posterior probabilities each time an update is performed, as illustrated in
The anomaly factor estimating device 100 may be configured to select a factor table to use in computation from among a plurality of factor tables, each of the plurality of factor tables being for each process. For example, apparatuses or systems including an apparatus may exhibit different behavior from the normal operating state when they are in transient operating states such as startup time and stoppage time, or when they are in special operating states where a measurement value such as temperature, pressure, and vibration is lower or higher than the normal by 2σ (reference dispersion value), for example. In this case, occurrence events and factors vary depending on the process of the operating state. Therefore, for example, it may be possible to improve the estimation accuracy by creating a factor table for each process such as startup time, operation time, and stoppage time, and selecting and using a factor table corresponding to the process of the time when an abnormal event occurred.
The present disclosure is not limited to the above-described embodiments and also includes modifications of the above-described embodiments as well as appropriate combinations of a plurality of the embodiments.
The contents described in each of the above embodiments are understood as follows, for example.
(1) An anomaly factor estimation method according to the present disclosure includes the steps of:
calculating, based on a factor table indicating an occurrence frequency of each of factors for each of events, a prior probability that is a probability for each factor to occur;
calculating a posterior probability that is a probability for a certain event to be caused by a certain factor; and
multiplying the posterior probability by a weighting coefficient relating to a signal-to-noise ratio gain value of a sensor measurement value, and calculating an index indicating an occurrence probability for each combination of the factors and the events.
According to the method described above, an index indicating an occurrence probability is calculated for each combination of the factors and the events based on posterior probability. Posterior probabilities are computed by a mathematical formula that also takes into account cases where a certain event occurs due to a plurality of factors. Therefore, it is possible to estimate anomaly factors based on computation that takes into account interaction among a plurality of factors (relative evaluation) rather than based on computation results for each factor (absolute evaluation). Accordingly, it is possible to improve the estimation accuracy for anomaly factors.
(2) In some embodiments, in the method described in (1) above,
in calculating the prior probability, from among information contained in the factor table, information relating to the event and the factor that are associated with a sensor measurement value having a greater signal-to-noise ratio gain value than a reference value is extracted and used.
Information contained in the factor table also includes information such as events that rarely occur, special events, and events whose occurrence factors are unknown. When such information is used in estimating anomaly factors, there is a risk that the accuracy may decrease. In this regard, according to the method described above, high accuracy is achieved because prior probabilities and posterior probabilities can be calculated by narrowing down the information contained in the factor table to information relating to any event and any factor that are associated with a sensor measurement value having a greater signal-to-noise ratio gain value than the reference value.
(3) In some embodiments, in the method described in (1) or (2) above,
in calculating the posterior probability, the posterior probability is calculated using the prior probability of each factor and a likelihood that is a probability for each event to occur due to each factor.
According to the method described above, posterior probabilities can be easily calculated using prior probabilities and likelihoods.
(4) In some embodiments, in the method described in any one of (1) to (3) above,
the weighting coefficient is a coefficient set based on an excess amount of the signal-to-noise ratio gain value relative to a threshold value.
According to the method described above, not only is computation performed solely for any event and any factor that have a signal-to-noise ratio gain value greater than a reference value, but also the size relationship of the magnitude of signal-to-noise ratio gain values is reflected in the weighting coefficients and these weighting coefficients are used for computation. Therefore, the size relationship of the magnitude of signal-to-noise ratio gain values can be made conspicuous.
(5) In some embodiments, in the method described in any one of (1) to (4) above,
the index indicating the occurrence probability is an occurrence probability of each factor when a certain event occurred; and
the occurrence probability of each factor is calculated by dividing a subtotal value that is obtained by subtotaling a multiplied value between the posterior probability and the weighting coefficient for each factor by a total value that is a value obtained by totaling the subtotal values for all of the factors.
According to the method described above, occurrence probabilities of each factor can be ascertained.
(6) In some embodiments, the method described in (5) above further includes the step of:
ranking the occurrence probability of each factor in descending order and outputting high-ranking factors.
According to the method described above, due to what factor these abnormal events occur can be easily ascertained.
(7) In some embodiments, the method described in any one of (1) to (6) further includes the steps of:
monitoring a Mahalanobis distance that is based on the sensor measurement value; and
acquiring the signal-to-noise ratio gain value in cases where an abnormal event is detected based on the Mahalanobis distance.
According to the method described above, because anomaly factor estimation is performed in cases where an abnormal event is detected, computation processing that accompanies anomaly factor estimation can be reduced.
(8) In some embodiments, the method described in any one of (1) to (7) above further includes the step of:
selecting the factor table to use in computation from among a plurality of factor tables, each of the plurality of factor tables being for each process.
According to the method described above, it may be possible to improve the estimation accuracy by selecting and using a factor table corresponding to the process of the time when an abnormal event occurred.
(9) An anomaly factor estimating device (100) according to the present disclosure includes:
a prior probability calculating unit (103) configured to calculate, based on a factor table indicating an occurrence frequency of each of factors for each of events, a prior probability that is a probability for each factor to occur;
a posterior probability calculating unit (104) configured to calculate a posterior probability that is a probability for a certain event to be caused by a certain factor; and
an index calculating unit (105) configured to multiply the posterior probability by a weighting coefficient relating to a signal-to-noise ratio gain value of a sensor measurement value, and calculate an index indicating an occurrence probability for each combination of the factors and the events.
According to the configuration described above, the anomaly factor estimating device (100) calculates an index indicating an occurrence probability for each combination of the factors and the events based on posterior probability. Posterior probabilities are computed by a mathematical formula that also takes into account cases where a certain event occurs due to a plurality of factors. Therefore, it is possible to estimate anomaly factors based on computation that takes into account interaction among a plurality of factors (relative evaluation) rather than based on computation results for each factor (absolute evaluation). Accordingly, it is possible to improve the estimation accuracy for anomaly factors.
(10) A program according to the present disclosure causes a computer to execute the procedures of:
calculating, based on a factor table indicating an occurrence frequency of each of factors for each of events, a prior probability that is a probability for each factor to occur;
calculating a posterior probability that is a probability for a certain event to be caused by a certain factor; and
multiplying the posterior probability by a weighting coefficient relating to a signal-to-noise ratio gain value of a sensor measurement value, and calculating an index indicating an occurrence probability for each combination of the factors and the events.
According to the program described above, an index indicating an occurrence probability is calculated for each combination of the factors and the events based on posterior probability. Posterior probabilities are computed by a mathematical formula that also takes into account cases where a certain event occurs due to a plurality of factors. Therefore, it is possible to estimate anomaly factors based on computation that takes into account interaction among a plurality of factors (relative evaluation) rather than based on computation results for each factor (absolute evaluation). Accordingly, it is possible to improve the estimation accuracy for anomaly factors.
While preferred embodiments of the invention have been described as above, it is to be understood that variations and modifications will be apparent to those skilled in the art without departing from the scope and spirit of the invention. The scope of the invention, therefore, is to be determined solely by the following claims.
Number | Date | Country | Kind |
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2020-125085 | Jul 2020 | JP | national |