The present invention relates to a method of measuring a health index of a plant in
which a condition of a lower level component is reflected and a computer-readable storage
medium in which a program to perform the method is stored and, more particularly, to a
method of measuring a health index of a plant in which a condition of a lower level
component is reflected and a computer-readable storage medium in which a program to
perform the method is stored, which the condition of the plant is more easily and
conveniently monitored based on only the health index of the uppermost level layer, in a
case in which an actual measurement value of a certain component of a certain lower level
layer deviates from normal range, the actual measurement value is reflected in the health
index, and, in a case in which a trip possibility of the plant due to change of an actual
measurement value of a specific component is low although the actual measurement value
of the component temporarily deviates from a normal range, the actual measurement value
of the component has a minimal influence on the health index, and a computer-readable
storage medium in which a program to perform the method is stored.
0 A plant is configured to have a tree structure including components and lower level
components constituting the components. The plant may be disposed at the uppermost level
layer of the tree structure of the plant and a component, such as a boiler or a turbine, may be
disposed at a layer under the uppermost level layer of the tree structure of the plant. When
the tree structure of the plant is formed, the uppermost level layer of the tree structure of the
plant may be selected as needed by a user.
For example, as shown in FIG. 1, a boiler (BOILER) and a turbine (TURBINE) may
be disposed at the uppermost level layer constituting the plant (LEVEL 1). A lower level
layer of the boiler comprises of a draft system (DRAF-SYS), a furnace system (FURNACE),
a fuel system (FUEL & FIRING), and a desulfurization system (FGD & EP), etc. (LEVEL 2).
And a lower level layer of the draft system (DRAF-SYS) comprises of a forced draft fan (FD
FAN), an induced draft fan (ID FAN), a primary air fan (PA FAN), and GAH {LEVEL 3).
I
I The forced draft fan (FD FAN) comprises of a forced draft fan A (FD FAN-A) and a forced
draft fan B (FD FAN-B) (LEVEL 4), and a lower level layer of the forced draft fan A (FD
FAN-A) comprises of primary air fan pressure (FDFA-INOUT PR), forced draft fan
temperature (FDFA-INOUT TEMP), forced draft fan air flow (FDFA-AIR FLOW), a forced
draft fan bearing (FDFA-BRG&WIND), and forced draft fan vibration (FDFA-VIBRATION)
(LEVEL 5). In addition, a lower level layer of the primary air fan pressure (FDFA-INOUT
PR) comprises of SPECIFIC ENERGY #1 FD, FDF-A SUCTION-PRESSURE, FDF-A IN
PRESS ABS, FDF-A IN PRESS ABS, FDF-A OUT PRESS, and FDF-A INNET PRESS.
Generally, to measure the health index of the boiler (BOILER) which is the
uppermost level layer, an actual measurement value of the lowermost level component is
@ measured and then the health index of the next upper level layer is calculated without
correction of the actual measurement value of the lowermost level component. These
processes are repeated to calculate the health index of the uppermost level layer.
This method, however, ultimately calculates a health index of the uppermost level
layer as a normal value, although an actual measurement value of at least one component of
the lowermost level layer or an actual measurement value of at least one component of the
upper level layer deviates from a normal value, because their severity or importance comes to
be lowered while the value of health index is transmitted to an upper level layer. In other
words, the reliability of a conventional health index calculation method is low, because it has
a disadvantage in that the health index is distorted.
0 And the distorted index may result in missing the timing of repair, inspection,
and replacement of the component having abnormal value, and as a consequence, the
operation of entire plant may come to a halt (trip) which may lead to serious damage.
In order to prevent the occurrence of the above problem, it is necessary to determine
whether actual operating measurement values of components of the lowermost level layer as
well as the components of upper level layers constituting the plane are within a normal range
in real time.
In addition, while there may be the case when some of actual measurement values of
components of lower level layers, a normal value of the uppermost level layer may not be
affected by them, although they deviate fiom normal values temporarily, and vice versa.
Consequently, there has been a high necessity for developing a method of
monitoring a health index of all components constituting a tree of an upper level layer using
only a health index of the upper level layer without monitoring as to whether an actual
measurement value of the lower level layer is within a normal range.
[~echnicalp roblem]
e Therefore, the present invention has been made to solve the above conventional
problems, and it is an object of the present invention to provide a method of measuring a
health index of a plant in which a condition of a lower level component is reflected and a
computer-readable storage medium in which a program to perform the method is stored,
wherein a status of the plant is more easily and conveniently monitored only with a health
index of the uppermost level layer.
It is another object of the present invention to provide a method of measuring a
health index of a plant in which a condition of a lower level component is reflected and a
computer-readable storage medium in which a program to perform the method is stored,
wherein the above actual measurement value is reflected in the health index, in a case in
which an actual measurement value of a certain component of a certain lower level layer
deviates from a normal range.
And it is a further object of the present invention to provide a method of measuring
a health index of a plant in which a condition of a lower level component is reflected and a
computer-readable storage medium in which a program to perform the method is stored,
wherein the actual measurement value of the above component has a minimal influence on
the health index, in a case in which the possibility of plant trip is less if the measured value of
"* a specific component changes, even if the actual value deviates from normal range
temporarily.
In accordance with feature of the present invention to accomplish the above objects ,
the present invention relates to a method of measuring a health index of a plant in which a
condition of a lower level component is reflected and includes a first step of collecting data
from a lowermost level layer of the plant and calculating an expected value of each
component constituting the lowermost level layer, a second step of comparing the expected
value with an actual measurement value of each component and calculating a tag index of
each component, a third step of sorting, in order, between or among the above tag indices,
first to n-th minimum values from a smallest value to a largest value and first to n-th
maximum values from a largest value to a smallest value, a fourth step of calculating
deviation values between the n maximum values and the n minimum values and calculating
an average value (X) of the above deviation values, a fifth step of calculating a calculated e value (Y), which is inversely proportional to a size of the average value based on the average
value, a sixth step of calculating an average value (X') of the first to n-th maximum values
and the first to n-th minimum values, a seventh step of determining a larger value from
between two values of comparing the value obtained by multiplying the calculated value (Y)
calculated at the fifth step and the average value (X') calculated at the sixth step and the first
minimum value sorted at the third step, as an index of a next upper level component to which
the lowermost level layer belongs, and an eighth step of performing the third to seventh steps
based on the index of each component of the next upper level layer determined at the seventh
step to determining an index of an uppermost level component.
At this time, The tag index calculated at the second step may be calculated by the
following equation including value A input to modify a condition in which an actual
@ measurement value of a component, the actual measurement value of which is changed at a
constant amplitude, temporarily deviates from a normal range and value B input to adjust a
deviation reflection rate between the expected value and the actual measurement value.
lexpected value-actual measurement value1 Tag index = 100 + A - ( actual measurement value range x B)
The calculated value (Y) calculated at the fifth step may be calculated by the
following equation.
In addition, the desired tag index at the second step can be calculated by
multiplying the tag index by a weight applied to each component as per their importance
and the above weight can be calculated by indexing a trip possibility due to the relevant
component.
According to the method of measuring a health index of a plant in which a
condition of a lower level component is reflected and a computer-readable storage medium
in which a program to perform the method is stored, in accordance with the present
invention, there is an effect of more efficiently controlling and managing a critical factor of
a plant trip, According to the method of measuring a health index of a plant in which a
condition of a lower level component is reflected and a computer-readable storage medium
in which a program to perform the method is stored, in accordance with the present
invention, because the condition of the entire plant can be monitored easily and
conveniently only by looking at the health index of the topmost level.
In addition, according to the present invention, it has a merit of preventing a trip of
the entire plant through control and management of the above component, because the
above actual measurement value can be reflected in the health index, in a case in which an
actual measurement value of a certain component of a certain lower level layer deviates
fi-om a normal value.
Furthermore, according to the present invention, it has an advantage of the a differentiated control and management of the plant according to its trip possibility, by
making the actual measurement value of the component have a minimal influence on the
health index, in a case in which a trip possibility of the plant due to change of the above
actual measurement value is low, although a actual measurement value of a specific
component deviates temporarily fi-om a normal range.
FIG. 1 is a view illustrating an example of a tree structure constituting a plant;
FIG. 2 is a flowchart showing a method of measuring a health index of a plant
according to the present invention;
FIG. 3 is a view showing an example illustrating the method of measuring the
health index of the plant according to the present invention;
FIG. 4 is a graph illustrating a correction value in the method of measuring the
health index of the plant according to the present invention;
FIG. 5 is a view showing another example illustrating the method of measuring the
health index of the plant according to the present invention; and
FIG. 6 is a view showing a further example illustrating the method of measuring
the health index of the plant according to the present invention.
* Below, there will be a description for a method of measuring a health index of a
plant in which a condition of a lower level component is reflected and a computer-readable
storage medium in which a program to perform the method is stored, according to the
present invention.
FIG. 2 is a flowchart showing a method of measuring a health index of a plant in
which a condition of lower level component is reflected according to the present invention,
FIG. 3 is a view showing an example illustrating a method of measuring a health index of a
plant in which a condition of a lower level component is reflected according to the present
invention, FIG. 4 is a graph illustrating a correction value in the method of measuring the
health index of the plant in which a condition of a lower level component is reflected
according to the present invention, FIG. 5 is a view showing another example illustrating
the method of measuring the health index of the plant in which the condition of a lower
level component is reflected according to the present invention, and FIG. 6 is a view
showing a further example illustrating a method of measuring the health index of a plant in
which a condition of each lower level component is reflected according to the present
invention.
According to the present invention, a health index of the uppermost level
component or the uppermost level layer is calculated eventually, in a tree structure of
components of plant and their lower level components constituting the component, by
calculating an index of the lowermost level component, using an expected value and an
actual measurement value based on its past data, and calculating indices of upper level
components per level located above the lowermost level component, based on the index of
the lowermost level component.
Here, a method of calculating an index of the lowermost level layer based on an
index of the lowermost level component is referred to as a tag index rule, and a method of
calculating an index of each upper level layer above the lowermost level layer is referred to
as a group index rule.
First, the tag index rule will be described.
A plant is an apparatus constituting a plurality of systems and devices to achieve a
specific purpose. Generally, the plant is configured to have a structure in which at least one
measuring instrument to check operation and safety of the plant is installed and the measuring
instrument is measured off-line or on-line.
Data regarding an operation history of the plant can be collected and stored through
the above measuring instrument. For example, data determined as normal conditions from
the operation history of the above plant, specifically data regarding components constituting
the lowermost level layer in a tree structure constituting a plurality of systems, are collected
and stored.
In this case, components having the most influence on an index of the plant may be
selected and disposed at the lowermost level layer.
The data collected and stored as described above may be utilized as materials to
estimate that an actual measurement value of each component constituting the lowermost
level layer at a current point of time belongs to within what specific range, In this case, which
value within the above range is utilized as an expected vale may be determined based on
characteristics and an operation history of the relevant component. For example, an average
value of the above range may be utilized as a expected value at a current point of time (step
S 1 0).
Once the expected value is determined, an actual measurement value of the relevant
component is received from the measuring instrument and is compared with the expected
value to calculate a tag index of the corresponding component.
The tag index may be calculated by [Equation 11 below.
[Equation 11
lexpected value-actual measurement value] Tag index = 100 + A - (
actual measurement value range x B)
where A indicates a value input to correct a state in which an actual measurement
value of a component, the actual measurement value of which is changed at a constant
amplitude, temporarily deviates from a normal range.
Value A may be basically set to zero (O), may be corrected by an administrator, and
may be corrected per component or in a batch fashion. In a case in which an actual
measurement value of a specific component is changed at a constant amplitude, an alarm may
be sounded although the actual measurement value of the component is normal when the
actual measurement value of the component temporarily deviates fkom an predicted range.
In this case, value A may be increased to increase the estimate range, thereby solving the
above problem. For example, a tag index may be lowered to 80 or less when a specific
component has the above characteristics. In this case, value A may be set to 10 to correct
the tag index such that the tag index is increased to 90.
B indicates a value input to adjust a deviation reflection rate of the expected value
and the actual measurement value. As value B is increased, the deviation reflection rate is
also increased. As value B is decreased, on the other hand, the deviation reflection rate is
also decreased. Value B is generally set to 100.
An example of tag indices of the lowermost level components determined as
@
described above is shown in FIG. 3. That is, the lowermost level layer (LEVEL 6) may
include one or more components and a tag index is calculated for each component. Four
components shown in FIG. 4 have tag indices of 99.00,97.00,95.00, and 98.00, respectively.
In addition, the tag indices may be multiplied by weights applied according to
importance of the respective components. The weights are calculated by indexing trip
possibilities according to the respective components. For example, a weight of 100 % may
be applied to a component having a high trip possibility. On the other hand, a weight of
50 % may be applied to a component having a low trip possibility (step S20).
Once the tag indices are determined, first to n-th minimum values of the tag indices
are sorted in order fkom the smallest value to the largest value. In addition, first to n-th
maximum values of the tag indices are sorted in order from the largest value to the smallest
value. In a case in which the lowermost level layer includes four or more components, tag
indices of the respective components are calculated to extract the minimum value and the
maximum value of a set coefficient.
For example, as shown in FIG. 3, the minimum value of the tag indices is set to
minimum value 1 and the second minimum value of the tag indices is set to minimum value
2. In addition, the maximum value of the tag indices is set to maximum value 1 and the
second maximum value of the tag indices is set to maximum value 2 (step S30).
Subsequently, respective deviation values between the n maximum values and the n
minimum values are calculated and then an average value X of the deviation values is
calculated. For example, a deviation value between maximum value 1 and minimum value
1, a deviation value between maximum value 1 and minimum value 2, a deviation value 10 between maximum value 2 and minimum value 1, and a deviation value between maximum
value 2 and minimum value 2 are calculated. In case of FIG. 3, therefore, a deviation value
between maximum value 1 and minimum value 1 is 4.00, a deviation value between
maximum value 1 and minimum value 2 is 2.00, a deviation value between maximum value 2
and minimum value 1 is 3.00, and a deviation value between maximum value 2 and minimum
value 2 is 1.00.
An average value X of the deviation values is 2.25 (step S40).
Once the average value X is calculated, a calculated value Y, which is inversely
proportional to the size of the average value, is calculated. The calculated value Y is
provided to compensate an average value X' of the maximum values and the minimum
values, which will be calculated below, based on the size of the average value X of the
deviation values. If the average value X is large, which means that the deviation between
the maximum value and the minimum value is large, the calculated value Y is decreased.
On the other hand, if the average value X is small, which means that the deviation between
the maximum value and the minimum value is small, the calculated value Y is increased.
As described above, the calculated value Y based on the average value X may be
calculated using various methods. In this embodiment, a method defined by Equation 2 may
be used.
[Equation 21
V
A graph of the deviation XI1 00 and the calculated value Y is shown in FIG. 4.
As can be seen from [Equation 21 and FIG. 4, the calculated value Y has a value
between 0 and 1. However, zero (0) has no numerical meaning. According to the present
invention, therefore, the calculated value Y has a value of 0.1 or more. Consequently, if the
deviation Z100 is 0.1 or less, the calculated value Y is set to 1. On the other hand, if the
deviation Z100 is 0.55 or more, the calculated value Y is set to 0.1.
In FIG. 3, the average value X of the deviation values is 2.25. When the value is
substituted into [Equation 21, therefore, the calculated value Y is set to 1. The actually
calculated value is 1.1 15 but the calculated value Y is 1 or less. Consequently, the final
calculated value is set to 1 (step S50).
Meanwhile, the average value X' of the first to n-th minimum values and the first to
@ n-th maximum values is calculated. In this embodiment, an average value X' of minimum
value 1, minimum value 2, maximum value 1, and maximum value 2. The average value X'
is 97.25 (step S60).
Once the calculated value and the average value X' are determined, a larger value
selected from between a value obtained by multiplying the calculated value and the average
value X' and the first minimum value is determined as an index of the next upper level
component to which the lowermost level layer belongs.
In this embodiment, the calculated value Y is 1 and the average value X' is 97.25.
Consequently, a value obtained by multiplying the calculated value and the average value X'
is 97.25, which is greater that minimum value 1 (95.00). As a result, the average value X'
of 97.25 is determined as an index of the next upper level component (step S70).
Hereinafter, the group index rule will be described.
The group index rule is basically identical to the tag index rule. That is, an index
of the next upper level component of each component is calculated based on an index of the
component in the same manner as in the tag index rule.
However, the group index rule is different from the tag index rule in that an index of
each component is calculated based on lower level components in the group index rule
although an index of each component is calculated based on an expected value and an actual
measurement value in the tag index rule.
FIG. 3 shows that an index of each layer is calculated using the above-mentioned
method and, finally, an index of the uppermost level component (LEVEL 1) is determined to
95.56. The index of the uppermost level component (LEVEL 1) is used as a health index of
each layer of the tree structure shown in FIG. 3 (step S80).
Hereinafter, a health index calculation method in a case in which indices of some
lowermost level components are lowered will be described with reference to FIG. 5.
As shown in FIG. 5, two components of the lowermost level layer have indices of
50.00 and 43.00, which are very small. Consequently, the index of 43.00 is determined as
minimum value 1 and the index of 50.00 is determined as minimum value 2. In addition,
maximum value 1 is 98.00 and maximum value 2 is 95.00.
An average value X of deviation values between the four values is 50.00. A
calculated value Y is calculated using [Equation 21. The calculated value Y is 0.20.
An average value X' of minimum value 1, minimum value 2, maximum value 1, and
maximum value 2 is calculated. The calculated average value X' is 71.50. The product of 10 the calculated value Y and the average value X' is 14.3, which is less than the minimum
value 1 (43.00). Consequently, an index of a component of the next upper level layer
(LEVEL 5) is determined to the minimum value 1, i.e. 43.00.
In the same manner as described above, indices of components of the layers
(LEVEL 4 to LEVEL 1) are sequentially calculated. The calculated indices are 51.52,
63.72, 67.95, and 78.94.
In the tree structure shown in FIG. 5, two components of the lowermost level layer
(LEVEL 6) have excessively small indices. Although indices of upper level layers are
gradually increased as the indices of the upper level layers are calculated, a health index of
the uppermost level layer is considerably low. Consequently, it is possible to detect that the
indices of the components of the lower level layers have been excessively lowered through
monitoring of the health index.
Hereinafter, a description will be given of how two components of the lowermost
level layer (LEVEL 6) and one component of the next upper level having too small indices
are reflected in a health index with reference to FIG. 6.
As shown in FIG. 6, indices of the lowermost level layer (LEVEL 6) are 20.00,
43.00, 95.00, and 98.00. In addition, minimum value 1 is 20.00, minimum value 2 is 43.00,
maximum value 1 is 98.00, and maximum value 2 is 95.00.
An index of a component of the next upper level layer based on the above indices is
calculated in the same manner as described above. The calculated index is 20.00. On the
other hand, another component of the next upper level layer (LEVEL 5) has an excessively
small index of 45.00.
In this state, indices of the next upper level layers (LEVEL 4 to LEVEL 1) are
sequentially calculated based on the index of the layer (LEVEL 5). The calculated indices
are 20.00, 33.66, 38.09, and 48.02. As a result, it can be seen that the index, i.e. the health
index, of the uppermost level layer is 48.02, which is too small.
Consequently, it is possible for an administrator to detect that the indices of the
components of the lower level layers are excessively lowered through monitoring of the
health index of the tree structure shown in FIG. 6.
Although the preferred embodiments of the present invention have been disclosed
for illustrative purposes, those skilled in the art will appreciate that various modifications,
additions and substitutions are possible, without departing from the scope and spirit of the
invention as disclosed in the accompanying claims.

We Claim:
[claim 1] A method of measuring a health index of a plant in which a condition of a
lower level component is reflected, the method comprising:
a first step of collecting data regarding a lowermost level layer of the plant and
calculating an expected value of each component constituting the lowermost level layer;
a second step of comparing the expected value with an actual measurement value of 9 each component and calculating a tag index of each component;
a third step of sorting in order, between or among the above tag indices, first to n-th
minimum values from a smallest value to a largest value and first to n-th maximum values
from a largest value to a smallest value,
a fourth step of calculating deviation values between the n maximum values and the
n minimum values and calculating an average value (X) of the above deviation values;
a fifth step of calculating a calculated value (Y), which is inversely proportional to a
size of the average value based on the above average value;
a sixth step of calculating an average value (X') of the first to n-th -minimum
values and the first to n-th maximum values;
a seventh step of determining a larger value from between two values by comparing
the value obtained by multiplying the calculated value (Y) calculated at the fifth step and the
average value (X') calculated at the sixth step and the first minimum value sorted at the third
step, as an index of a next upper level component to which the lowermost level layer belongs;
and
an eighth step of performing the third to seventh steps based on the index of each
component of the next upper level layer determined at the seventh step and determining an
index of an uppermost level component.
[claim 2] The method according to claim 1, a method of measuring a health index of a
plant in which a condition of a lower level component is reflected wherein the tag index
calculated at the second step has a feature of being calculated by the following equation
including value A input to modify a condition in which an actual measurement value of a
I component, the actual measurement value of which is changed at a constant amplitude,
temporarily deviates from a normal range and value B input to adjust a deviation reflection
I rate between the expected value and the actual measurement value.
lexpected value-actual measurement value1 Tag index = 100 + A - ( actual measurement value range x B)
[claim 3] The method according to claim 1, a method of measuring a health index of a
plant in which a condition of a lower level component is reflected wherein the calculated
value (Y) calculated at the fifth step has a feature of being-calculated by the following
equation.
[claim 4] The method according to claim 1, a method of measuring a health index of
a plant in which a condition of a lower level component is reflected wherein the tag index
. calculated at the second step has a feature of being calculated by multiplying the tag index
by a weight.
[claim 5] The method according to claim 4, a method of measuring a health index of
a plant in which a condition of a lower level component is reflected wherein the above
weight has a feature of being calculated by indexing a trip possibility according to each
component.
[claim 6] A computer-readable storage medium in which a program to perform a
method according to any one of claims 1 to 5 is stored.