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IJSRD - International Journal for Scientific Research & Development| Vol. 2, Issue 08, 2014 | ISSN (online): 2321-0613
All rights reserved by www.ijsrd.com 84
Prediction of Fault in Distribution Transformer Using Adaptive Neural-
Fuzzy Interference System
Altamash N. Ansari1
Sanjeev B. Jamge2
1
P.G. Student 2
Assistant Professor
1,2
Department of Electronics Engineering
1,2
Walchand Institute of Technology, Solapur, India
Abstract— In this paper, we present a new method for
simultaneous diagnosis of fault in distribution transformer.
It uses an adaptive neuro-fuzzy inference system (ANFIS),
based on Dissolved Gas Analysis (DGA). The ANFIS is
first “trained” in accordance with IEC 599, so that it
acquires some fault determination ability. The CO2/CO
ratios are then considered additional input data, enabling
simultaneous diagnosis of the type and location of the fault.
Diagnosis techniques based on the Dissolved Gas Analysis
(DGA) have been developed to detect incipient faults in
distribution transformers. The quantity of the dissolved gas
depends fundamentally on the types of faults occurring
within distribution transformers. By considering these
characteristics, Dissolved Gas Analysis (DGA) methods
make it possible to detect the abnormality of the
transformers. This can be done by comparing the Dissolved
Gas Analysis (DGA) of the transformer under surveillance
with the standard one. This idea provides the use of adaptive
neural fuzzy technique in order to better predict oil
conditions of a transformer. The proposed method can
forecast the possible faults which can be occurred in the
transformer. This idea can be used for maintenance purpose
in the technology where distributed transformer plays a
significant role such as when the energy is to be distributed
in a large region.
Key words: Dissolved Gas Analysis (DGA), Adaptive
Neuro Fuzzy Interference System (ANFIS).
I. INTRODUCTION
Electrical, mechanical, and thermal stresses can degrade the
quality of the insulation in power transformers, causing
faults. Several methods are used for fault diagnosis in
transformers, e.g., dissolved gas analysis (DGA),
measurement of breakdown voltage, and tan δ, pollution,
sludge, and interfacial tension tests. Of these, DGA is the
most frequently used.
Thermal and electrical stresses result in fracture of
the insulating materials and the release of several gases.
Analysis of these gases may provide information on the type
of fault. Various standards have been suggested for the
identification of transformer faults based on the ratio of
dissolved gases in the transformer oil, e.g., International
Electro technical Commission (IEC) standards, and these
standards has been quoted in many papers. However, they
are incomplete in the sense that, in some cases, the fault
cannot be diagnosed or located accurately. Intelligent
algorithms, e.g., wavelet networks, neuro-fuzzy networks,
fuzzy logic, and artificial neural networks (ANN), have been
used to improve the reliability of the diagnosis. In these
algorithms, the type of fault is diagnosed first, and the fault
is then located using the ratio of the concentrations of CO2
and CO dissolved in the transformer oil. The algorithms are
not entirely satisfactory. The wavelet network has high
efficiency but low convergence, the fuzzy logic method has
a limited number of inputs and, in some cases, it is very
difficult to derive the logic rules, and the ANN need reliable
training patterns to improve their fault diagnosis
performance.
A. Dissolved Gas Analysis
In normal operation, i.e., with no fault present, transformer
oil contains gases such as H2, CH4, C2H4, C2H2, O2, and
N2. When a fault is present, the concentrations of some of
these gases increase, depending on the fault type and its
location. The gases can be divided into three groups:
 hydrogen and hydrocarbons: H2, C2H4, CH4,
C2H2;
 carbon oxides: CO2 and CO; and
 Nonfault gases: O2 and N2.
Gas ratio Value Code
X = C2H2/C2H4 X < 0.1
0.1 ≤ X ≤ 3
X > 3
0
1
2
Y = CH4/H2 Y < 0.1
0.1 ≤ Y ≤ 1
Y > 1
1
0
2
Z = C2H4/C2H6 Z < 1
1 ≤ Z ≤ 3
Z > 3
0
1
2
Table 1: International Electrotechnical Commission Codes
[3].
The accepted correlation between faults and
dissolved gas concentrations is as follows:
 H2 and C2H2: Increased concentrations of H2 and
C2H2 are almost always a sign of arcing faults.
Temperatures in excess of 500°C are required for
the generation of C2H2.
 C2H6, C2H4, CH4, C3H8/C3H6
(propane/propylene) and H2: Increased
concentrations of C2H4, in combination with any
one of C2H6, CH4, and C3H8/C3H6, indicate
thermal decomposition of the oil. These gases are
generated at temperatures lower than 250°C.
 H2 and CH4: These are generated if partial
discharge (or corona) takes place in the transformer
oil.
 CO2 and CO: Generation of both gases indicates
thermal aging or partial discharge (corona) in the
cellulosic insulation.
 H2 and O2: The presence of both gases in the
transformer oil, together with the absence of any
hydrocarbon gas, indicates the presence of water in
the transformer oil.
The Three Conventional Standards dissolved gas
analysis has following standards. The concentrations of H2,
CH4, C2H4, C2H6, and C2H2 in the transformer oil can be
Prediction of Fault in Distribution Transformer Using Adaptive Neural-Fuzzy Interference System
(IJSRD/Vol. 2/Issue 08/2014/022)
All rights reserved by www.ijsrd.com 85
used to diagnose faults in the transformer. The concentration
ratios between some of these gases are used in some
standards. Details on the three conventional standards are as
follows.
 IEC Standard: A three-digit code (X, Y, Z) is used
to indicate the fault type. Each digit indicates a gas
concentration ratio (X = C2H2/C2H4; Y =
CH4/H2; and Z = C2H4/C2H6).
 Rogers Ratio Method: Three gas ratios are used,
namely, CH4/H2, C2H4/C2H6, and C2H2/C2H4.
Table 3 shows the fault diagnosis corresponding to
various combinations of these ratios.
 Doernenburg Ratio Method: In this method, four
gas ratios, namely, CH4/H2, C2H2/C2H4,
C2H2/CH4, and C2H6/C2H2, are used to diagnose
the fault.
B. CO2/CO Ratio
Faults in the paper insulation are generally considered more
serious than faults in the insulating oil. The paper insulation
is located in areas of high electric field, so its degradation
may lead to short-circuiting or severe arcing. Consequently,
fault detection by DGA or by some other method is of
considerable interest. Degradation of cellulosic materials,
e.g., paper insulation, produces CO2 and CO and much
smaller quantities of other gases. The CO2/CO ratio is
sometimes used as an indicator of cellulose decomposition.
High-temperature degradation of cellulose tends to decrease
the CO2/CO ratio, but the rates of CO2 and CO production
depend largely on O2 availability, moisture content, and
temperature. However, if the CO2/CO ratio is less than
approximately 3 or greater than approximately 11, the
possibility of a fault involving cellulose degradation should
be considered.
Thermal stress leads to the formation of CO and
CO2 in the oil, with the concentrations varying with
transformer type. In new transformers or those filled with
fresh oil, the CO and CO2 concentrations initially increase
quickly, with high CO2/CO ratios. These ratios decrease as
the oil ages and reach a nearly steady value.
Key gas L1 (ppm)
Hydrogen (H2) 100
Methane (CH4) 120
Carbon monoxide (CO) 350
Acetylene (C2H2) 1
Ethylene (C2H4) 50
Ethane (C2H6) 65
Table 2 Minimum Concentration Limits (L1) Used in the
Doernenburg Method [7].
Under normal operating conditions, that steady
value is approximately 7, with a standard deviation of
approximately 4. Tests have shown that the CO2/CO ratios
are sensitive to the oil temperature and are an early indicator
of oil aging.
However, CO2/CO >10 found in a group of aged
(25- to 35-year-old) station transformers was interpreted as
an indication of a thermal fault in the paper insulation. Such
faults have a long-term aging effect on the paper and reduce
transformer lifetime. During aging, micro particles, cellulose
fibre particles, carbon particles, and other particles are
produced; the micro particles constitute up to 94% of the
total particle volume. A CO2/CO ratio <3 is generally
considered an indication of carbonization of cellulosic
insulation.
C. Adaptive neuro fuzzy interference system
1) The ANFIS Network
Although the standards are useful and effective for diagnosis
of some faults, they do not cover all the likely gas ratio
ranges. Furthermore, additional data cannot be used. This is
not true of ANFIS, which was introduced by Jang in 1993. It
is a type of adaptive multilayer feed-forward network. It
combines the calculation capability of ANN with the logic
capability of Sugeno-type fuzzy systems. A hybrid learning
rule is used to train the ANFIS system.
2) ANFIS Structure
The Adaptive Neuro Fuzzy Inference System network
consists of a number of nodes connected by directional
links. The nodes can be adaptive or fixed; the output of an
adaptive node depends on the parameters forming its input,
but the output of a fixed node depends only on the output of
the previous layer. (A layer consists of all nodes that have
the same inputs.)
The ANFIS consists of five layers, connecting n
inputs to one output f. Thus the ANFIS structure for each
fault of the IEC standard has three inputs (X1 =
C2H2/C2H4, X2 = CH4/H2, X3 = C2H4/C2H6) and one
output (Oi). The output Oi represents the output pattern for
the ith fault. It follows that nine ANFIS systems should be
used to determine O0 through O8. For the sake of
simplicity, only two inputs are shown in Figure 1.
N
o.
Type of
fault
Gas ratio
CH4/
H2
C2H2/C
2H4
C2H2/
CH4
C2H6/C
2H2
1
Partial
discharge
(low-
intensity
PD)
CH4/
H2 <
0.1
—
C2H2/C
H4 < 0.3
0.4 <
C2H6/C2
H2
2
Arcing
(high-
intensity
PD)
0.1 <
CH4/
H2 <
1
C2H2/C2
H4 >
0.75
C2H2/C
H4 > 0.3
C2H6/C2
H2 < 0.4
3
Thermal
decompos
ition
CH4/
H2 >
1
C2H2/C2
H4 <
0.75
C2H2/C
H4 < 3
C2H6/C2
H2 > 0.4
4 No fault
H2 < 2L1(H2) or CH4 < 2L1(CH4) or
C2H2 < 2L1(C2H2) or C2H4 <
2L1(C2H4)
4 No fault
H2 > 2L1(H2), CH4 > 2L1(CH4), C2H2 >
2L1(C2H2), C2H4 > 2L1(C2H4) and
[C2H6 < L1(C2H6) or CO < L1(CO)]
5
Fault not
identified
Otherwise
1
PD = partial discharge; L1 = minimum concentration limit.
Table. 3: Fault Diagnosis Using Doernenburg Codes [7].1
Prediction of Fault in Distribution Transformer Using Adaptive Neural-Fuzzy Interference System
(IJSRD/Vol. 2/Issue 08/2014/022)
All rights reserved by www.ijsrd.com 86
II. METHODOLOGY
A. Improving Fault Diagnosis
To improve fault diagnosis using the standards, in this work
the ANFIS system was trained using separate input data sets
for each fault listed in each standard. The input data sets are
the gas ratios required by a given standard, and the output is
1 if the input data match the standard for the specific fault
being investigated and 0 otherwise. In this work, the fuzzy
rules used in ANFIS, based on an extended range of input
data, improved the fault diagnosis capability of the standard.
For methods in which the fault is not diagnosed and
located simultaneously, the fault type is first determined
using a standard, e.g., ANN or ANFIS, and the CO2/CO
ratio is then used to determine the fault location (in the oil or
cellulosic insulation).
B. Simultaneous Diagnosis of Fault Type and Location
Figure 3 shows a flowchart for simultaneous fault diagnosis
and location. There are two main stages, namely, training
and testing.
1) The Training Stage
The initial values of the parameters are specified. These
parameters include the ANFIS parameters for each standard
and gas chromatography data for different transformers. The
latter allow the initial training data set to be calculated for
each standard. The ANFIS network is then trained for each
training data fault.
The input consists of four or five gas ratios, and the
output is a binary number. Thus the training data for fault 1
of the IEC
Standard in Table 2 (in oil) are C2
H
4
/C
2
H
6
< 1,
CH
4
/H
2 < 0.1, C2H2/C2H4 < 0.1, and 3 < CO2/CO < 11, and
the corresponding output value (O1) is 1 [3], [4]. For the
training of this fault, the output corresponding to other faults
is zero. In this study, one extra output value was used so that
the fault location was determined simultaneously with the
fault type. At least 10 training input and output sets were
used to train the network for each fault in each standard, and
a separate network were trained for each fault.
Each step in the ANFIS training process is called
an epoch. When the training process reaches its maximum
iteration (i.e., epoch = epochmax
), the training process is
complete. The epochmax
should be large enough to allow the
training process to converge to such an extent that the
difference between the ANFIS output and 0 or 1 (the error)
is less than 0.001.
2) The Testing Stag
The performance of the ANFIS method is evaluated for each
fault in the standards. When ANFIS is trained through
multiple iterations, the error may increase between
successive iterations if the training data are noisy or the
quantity of training data is insufficient. To overcome this
problem, the performance of the ANFIS network is
examined by using another set of gas chromatography data,
called test data. The DGA test data are separate from the
DGA training data and are used to verify the fuzzy inference
model.
Fig. 3: The adaptive neuro-fuzzy inference system (ANFIS)
flowchart based on dissolved gas analysis (DGA).
If the error between the ANFIS network outputs
and the required outputs increases when using DGA data,
the setting of the modifiable parameters of the Sugeno-type
fuzzy system is incorrect and the ANFIS network must be
trained again using another setting of these parameters.
III. CONCLUSION
In this paper, we present an ANFIS algorithm based on
classical standards for fault prediction in transformers. This
study extends the diagnostic ability of the IEC, Rogers, and
Doernenburg standards. A Sugeno training algorithm is used
for the fuzzy inference systems. The ANFIS algorithm
permits simultaneous diagnosis of fault type and fault
location. It was applied to predict fault types in distribution
transformers that the IEC, Rogers, and Doernenburg
standards could not diagnose.
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(IJSRD/Vol. 2/Issue 08/2014/022)
All rights reserved by www.ijsrd.com 87
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Prediction of Fault in Distribution Transformer using Adaptive Neural-Fuzzy Interference System

  • 1. IJSRD - International Journal for Scientific Research & Development| Vol. 2, Issue 08, 2014 | ISSN (online): 2321-0613 All rights reserved by www.ijsrd.com 84 Prediction of Fault in Distribution Transformer Using Adaptive Neural- Fuzzy Interference System Altamash N. Ansari1 Sanjeev B. Jamge2 1 P.G. Student 2 Assistant Professor 1,2 Department of Electronics Engineering 1,2 Walchand Institute of Technology, Solapur, India Abstract— In this paper, we present a new method for simultaneous diagnosis of fault in distribution transformer. It uses an adaptive neuro-fuzzy inference system (ANFIS), based on Dissolved Gas Analysis (DGA). The ANFIS is first “trained” in accordance with IEC 599, so that it acquires some fault determination ability. The CO2/CO ratios are then considered additional input data, enabling simultaneous diagnosis of the type and location of the fault. Diagnosis techniques based on the Dissolved Gas Analysis (DGA) have been developed to detect incipient faults in distribution transformers. The quantity of the dissolved gas depends fundamentally on the types of faults occurring within distribution transformers. By considering these characteristics, Dissolved Gas Analysis (DGA) methods make it possible to detect the abnormality of the transformers. This can be done by comparing the Dissolved Gas Analysis (DGA) of the transformer under surveillance with the standard one. This idea provides the use of adaptive neural fuzzy technique in order to better predict oil conditions of a transformer. The proposed method can forecast the possible faults which can be occurred in the transformer. This idea can be used for maintenance purpose in the technology where distributed transformer plays a significant role such as when the energy is to be distributed in a large region. Key words: Dissolved Gas Analysis (DGA), Adaptive Neuro Fuzzy Interference System (ANFIS). I. INTRODUCTION Electrical, mechanical, and thermal stresses can degrade the quality of the insulation in power transformers, causing faults. Several methods are used for fault diagnosis in transformers, e.g., dissolved gas analysis (DGA), measurement of breakdown voltage, and tan δ, pollution, sludge, and interfacial tension tests. Of these, DGA is the most frequently used. Thermal and electrical stresses result in fracture of the insulating materials and the release of several gases. Analysis of these gases may provide information on the type of fault. Various standards have been suggested for the identification of transformer faults based on the ratio of dissolved gases in the transformer oil, e.g., International Electro technical Commission (IEC) standards, and these standards has been quoted in many papers. However, they are incomplete in the sense that, in some cases, the fault cannot be diagnosed or located accurately. Intelligent algorithms, e.g., wavelet networks, neuro-fuzzy networks, fuzzy logic, and artificial neural networks (ANN), have been used to improve the reliability of the diagnosis. In these algorithms, the type of fault is diagnosed first, and the fault is then located using the ratio of the concentrations of CO2 and CO dissolved in the transformer oil. The algorithms are not entirely satisfactory. The wavelet network has high efficiency but low convergence, the fuzzy logic method has a limited number of inputs and, in some cases, it is very difficult to derive the logic rules, and the ANN need reliable training patterns to improve their fault diagnosis performance. A. Dissolved Gas Analysis In normal operation, i.e., with no fault present, transformer oil contains gases such as H2, CH4, C2H4, C2H2, O2, and N2. When a fault is present, the concentrations of some of these gases increase, depending on the fault type and its location. The gases can be divided into three groups:  hydrogen and hydrocarbons: H2, C2H4, CH4, C2H2;  carbon oxides: CO2 and CO; and  Nonfault gases: O2 and N2. Gas ratio Value Code X = C2H2/C2H4 X < 0.1 0.1 ≤ X ≤ 3 X > 3 0 1 2 Y = CH4/H2 Y < 0.1 0.1 ≤ Y ≤ 1 Y > 1 1 0 2 Z = C2H4/C2H6 Z < 1 1 ≤ Z ≤ 3 Z > 3 0 1 2 Table 1: International Electrotechnical Commission Codes [3]. The accepted correlation between faults and dissolved gas concentrations is as follows:  H2 and C2H2: Increased concentrations of H2 and C2H2 are almost always a sign of arcing faults. Temperatures in excess of 500°C are required for the generation of C2H2.  C2H6, C2H4, CH4, C3H8/C3H6 (propane/propylene) and H2: Increased concentrations of C2H4, in combination with any one of C2H6, CH4, and C3H8/C3H6, indicate thermal decomposition of the oil. These gases are generated at temperatures lower than 250°C.  H2 and CH4: These are generated if partial discharge (or corona) takes place in the transformer oil.  CO2 and CO: Generation of both gases indicates thermal aging or partial discharge (corona) in the cellulosic insulation.  H2 and O2: The presence of both gases in the transformer oil, together with the absence of any hydrocarbon gas, indicates the presence of water in the transformer oil. The Three Conventional Standards dissolved gas analysis has following standards. The concentrations of H2, CH4, C2H4, C2H6, and C2H2 in the transformer oil can be
  • 2. Prediction of Fault in Distribution Transformer Using Adaptive Neural-Fuzzy Interference System (IJSRD/Vol. 2/Issue 08/2014/022) All rights reserved by www.ijsrd.com 85 used to diagnose faults in the transformer. The concentration ratios between some of these gases are used in some standards. Details on the three conventional standards are as follows.  IEC Standard: A three-digit code (X, Y, Z) is used to indicate the fault type. Each digit indicates a gas concentration ratio (X = C2H2/C2H4; Y = CH4/H2; and Z = C2H4/C2H6).  Rogers Ratio Method: Three gas ratios are used, namely, CH4/H2, C2H4/C2H6, and C2H2/C2H4. Table 3 shows the fault diagnosis corresponding to various combinations of these ratios.  Doernenburg Ratio Method: In this method, four gas ratios, namely, CH4/H2, C2H2/C2H4, C2H2/CH4, and C2H6/C2H2, are used to diagnose the fault. B. CO2/CO Ratio Faults in the paper insulation are generally considered more serious than faults in the insulating oil. The paper insulation is located in areas of high electric field, so its degradation may lead to short-circuiting or severe arcing. Consequently, fault detection by DGA or by some other method is of considerable interest. Degradation of cellulosic materials, e.g., paper insulation, produces CO2 and CO and much smaller quantities of other gases. The CO2/CO ratio is sometimes used as an indicator of cellulose decomposition. High-temperature degradation of cellulose tends to decrease the CO2/CO ratio, but the rates of CO2 and CO production depend largely on O2 availability, moisture content, and temperature. However, if the CO2/CO ratio is less than approximately 3 or greater than approximately 11, the possibility of a fault involving cellulose degradation should be considered. Thermal stress leads to the formation of CO and CO2 in the oil, with the concentrations varying with transformer type. In new transformers or those filled with fresh oil, the CO and CO2 concentrations initially increase quickly, with high CO2/CO ratios. These ratios decrease as the oil ages and reach a nearly steady value. Key gas L1 (ppm) Hydrogen (H2) 100 Methane (CH4) 120 Carbon monoxide (CO) 350 Acetylene (C2H2) 1 Ethylene (C2H4) 50 Ethane (C2H6) 65 Table 2 Minimum Concentration Limits (L1) Used in the Doernenburg Method [7]. Under normal operating conditions, that steady value is approximately 7, with a standard deviation of approximately 4. Tests have shown that the CO2/CO ratios are sensitive to the oil temperature and are an early indicator of oil aging. However, CO2/CO >10 found in a group of aged (25- to 35-year-old) station transformers was interpreted as an indication of a thermal fault in the paper insulation. Such faults have a long-term aging effect on the paper and reduce transformer lifetime. During aging, micro particles, cellulose fibre particles, carbon particles, and other particles are produced; the micro particles constitute up to 94% of the total particle volume. A CO2/CO ratio <3 is generally considered an indication of carbonization of cellulosic insulation. C. Adaptive neuro fuzzy interference system 1) The ANFIS Network Although the standards are useful and effective for diagnosis of some faults, they do not cover all the likely gas ratio ranges. Furthermore, additional data cannot be used. This is not true of ANFIS, which was introduced by Jang in 1993. It is a type of adaptive multilayer feed-forward network. It combines the calculation capability of ANN with the logic capability of Sugeno-type fuzzy systems. A hybrid learning rule is used to train the ANFIS system. 2) ANFIS Structure The Adaptive Neuro Fuzzy Inference System network consists of a number of nodes connected by directional links. The nodes can be adaptive or fixed; the output of an adaptive node depends on the parameters forming its input, but the output of a fixed node depends only on the output of the previous layer. (A layer consists of all nodes that have the same inputs.) The ANFIS consists of five layers, connecting n inputs to one output f. Thus the ANFIS structure for each fault of the IEC standard has three inputs (X1 = C2H2/C2H4, X2 = CH4/H2, X3 = C2H4/C2H6) and one output (Oi). The output Oi represents the output pattern for the ith fault. It follows that nine ANFIS systems should be used to determine O0 through O8. For the sake of simplicity, only two inputs are shown in Figure 1. N o. Type of fault Gas ratio CH4/ H2 C2H2/C 2H4 C2H2/ CH4 C2H6/C 2H2 1 Partial discharge (low- intensity PD) CH4/ H2 < 0.1 — C2H2/C H4 < 0.3 0.4 < C2H6/C2 H2 2 Arcing (high- intensity PD) 0.1 < CH4/ H2 < 1 C2H2/C2 H4 > 0.75 C2H2/C H4 > 0.3 C2H6/C2 H2 < 0.4 3 Thermal decompos ition CH4/ H2 > 1 C2H2/C2 H4 < 0.75 C2H2/C H4 < 3 C2H6/C2 H2 > 0.4 4 No fault H2 < 2L1(H2) or CH4 < 2L1(CH4) or C2H2 < 2L1(C2H2) or C2H4 < 2L1(C2H4) 4 No fault H2 > 2L1(H2), CH4 > 2L1(CH4), C2H2 > 2L1(C2H2), C2H4 > 2L1(C2H4) and [C2H6 < L1(C2H6) or CO < L1(CO)] 5 Fault not identified Otherwise 1 PD = partial discharge; L1 = minimum concentration limit. Table. 3: Fault Diagnosis Using Doernenburg Codes [7].1
  • 3. Prediction of Fault in Distribution Transformer Using Adaptive Neural-Fuzzy Interference System (IJSRD/Vol. 2/Issue 08/2014/022) All rights reserved by www.ijsrd.com 86 II. METHODOLOGY A. Improving Fault Diagnosis To improve fault diagnosis using the standards, in this work the ANFIS system was trained using separate input data sets for each fault listed in each standard. The input data sets are the gas ratios required by a given standard, and the output is 1 if the input data match the standard for the specific fault being investigated and 0 otherwise. In this work, the fuzzy rules used in ANFIS, based on an extended range of input data, improved the fault diagnosis capability of the standard. For methods in which the fault is not diagnosed and located simultaneously, the fault type is first determined using a standard, e.g., ANN or ANFIS, and the CO2/CO ratio is then used to determine the fault location (in the oil or cellulosic insulation). B. Simultaneous Diagnosis of Fault Type and Location Figure 3 shows a flowchart for simultaneous fault diagnosis and location. There are two main stages, namely, training and testing. 1) The Training Stage The initial values of the parameters are specified. These parameters include the ANFIS parameters for each standard and gas chromatography data for different transformers. The latter allow the initial training data set to be calculated for each standard. The ANFIS network is then trained for each training data fault. The input consists of four or five gas ratios, and the output is a binary number. Thus the training data for fault 1 of the IEC Standard in Table 2 (in oil) are C2 H 4 /C 2 H 6 < 1, CH 4 /H 2 < 0.1, C2H2/C2H4 < 0.1, and 3 < CO2/CO < 11, and the corresponding output value (O1) is 1 [3], [4]. For the training of this fault, the output corresponding to other faults is zero. In this study, one extra output value was used so that the fault location was determined simultaneously with the fault type. At least 10 training input and output sets were used to train the network for each fault in each standard, and a separate network were trained for each fault. Each step in the ANFIS training process is called an epoch. When the training process reaches its maximum iteration (i.e., epoch = epochmax ), the training process is complete. The epochmax should be large enough to allow the training process to converge to such an extent that the difference between the ANFIS output and 0 or 1 (the error) is less than 0.001. 2) The Testing Stag The performance of the ANFIS method is evaluated for each fault in the standards. When ANFIS is trained through multiple iterations, the error may increase between successive iterations if the training data are noisy or the quantity of training data is insufficient. To overcome this problem, the performance of the ANFIS network is examined by using another set of gas chromatography data, called test data. The DGA test data are separate from the DGA training data and are used to verify the fuzzy inference model. Fig. 3: The adaptive neuro-fuzzy inference system (ANFIS) flowchart based on dissolved gas analysis (DGA). If the error between the ANFIS network outputs and the required outputs increases when using DGA data, the setting of the modifiable parameters of the Sugeno-type fuzzy system is incorrect and the ANFIS network must be trained again using another setting of these parameters. III. CONCLUSION In this paper, we present an ANFIS algorithm based on classical standards for fault prediction in transformers. This study extends the diagnostic ability of the IEC, Rogers, and Doernenburg standards. A Sugeno training algorithm is used for the fuzzy inference systems. The ANFIS algorithm permits simultaneous diagnosis of fault type and fault location. It was applied to predict fault types in distribution transformers that the IEC, Rogers, and Doernenburg standards could not diagnose. REFERENCES [1] Fofana, A. Bouaicha, M. Farzaneh, J. Sabau, D. Bussieres, and E. B. Robertson, “Decay products in the liquid insulation of power transformers,” IET Electr. Power Appl., vol. 4, no. 3, pp. 177–184, 2010.
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