Transcript
Page 1: Abnormality Detection for Gas Insulated Switchgear using ... · PDF fileAbnormality Detection for Gas Insulated Switchgear using Self-Organizing Neural Networks ... switchgears. Gas

Abnormality Detection for Gas Insulated Switchgear

using Self-Organizing Neural Networks

Hiromi OGI, Hideo TANAKA, Yoshiakira AKIM OTO

Tokyo Electric Power Company

Computer & Communication Research Center

1-4-10, Irifune, Chuo-ku, Tokyo 104 Japan

Phone: +81-3-3501-8111 ext.5046

Fax: +81-3-3297-1649

Email: [email protected]

Keywords: Neural networks, Diagnosis, GIS

Abstract: This paper presents an Artificial Neural Network

(ANN) approach to diagnostic methods for abnormality detection

for a Gas Insulated Switchgear (GIS). An outline of the current

technologies of power equipment diagnosis is initially presented

followed by the proposed application of the Self-Organizing

Neural Network (SONN) to abnormality diagnosis of GIS. Several

tentative experiments through laboratory simulations for a small

sized GIS are finally presented.

Introductjon

Fault detection is an important task for the reliable operation of a

power system. Recent survey of the diagnostic technologies and

power equipment reliability [I] has shown that the majority of

faults are caused by the maloperation of circuit breakers or

switchgears. Gas Insulated Switchgear or Gas Insulated Circuit

Breakers (GCBs) are being widely used to increase the reliability

of power system operation. In order to maintain the high reliability

of operation, it is necessary to detect in advance the abnormal

operation of the GIS before its propagation to a major fault.

Gas Insulated Switchgear or Gas Insulated Circuit Breakers are

originally designed as maintenance free equipment. The main

components are concealed in SF6 insulation gas and it is difficult

to examine the internal status of operation. This invisibility has

necessitated the development of the Predictive Maintenance

Technology (PMT), concerned mainly with the examination of the

internal status or abnormality of operation by the external

application of sensors. One of the major drawbacks of PMT is the

ineffectiveness of the currently available diagnostic algorithms in

obtaining precise mathematical models to simulate the physical

process of the internal abnormality.

Artificial Neural Networks (ANNs), that mimic the nervous

system, are finding wide applications as potential tools for the

solution of problems where conventional approaches either fail to

Yoshio IZUI

Mitsubishi Electric Corporation

Industrial Systems Laboratory

8-1-1, Tsukaguchi-Honmachi, Amagasaki, Hyogo 661 Japan

Phone: +81-6-497-7642

Fax: +81-6-497-7727

Email : [email protected]

arrive at acceptable solutions or are provide unsatisfactory

performance[2]. ANNs have been successfully applied to many

problems in power systems and have promising applications to

several other related areas[3-9]. The characteristics of ANNs such

as learning, self organization, adaptation and non-linear

classification provide important tasks of category formation and

classification that are required to accomplish the diagnostic

algorithms for PMT.

The objective of this paper is to study Kohonen's Self-Organizing

Neural Network (SONN)[ 10-11] for internal abnormality

detection for GIS using sensor signal attached outside the tank.

The neural network self-organizes its internal weights based on

the probability distribution of spectrum of sensor signal. The label

of abnormality category is assigned to each neuron after self­

organization. This process is similar to the LVQ (Leaming Vector

Quantization) algorithm. At the abnormality detection stage,

unknown spectrum is classified as normal or abnormal status

according to the label of the nearest neuron. That is, while

category formation is conducted by unsupervised manner,

classification criterion is conducted by supervised manner.

In the next section, several diagnostic techniques for GIS are

briefly reviewed. In the section three, a short introduction to

Kohonen's SONN is given. Application of SONN to abnormality

detection for GIS and experimental results are presented in the

section thereafter.

Diagnostic Technjques for GIS

In this section, GIS is used as the abbreviation for gas insulated

equipment. Investigation shows that breakdown due to insulation

occupies a high probability of faults in the abnormal oper~tion of

the GIS. The reason can be attributed to the fact that, while GIS

using SF6 are designed to be compact with high insulation

capability, small particles or mechanical un-adjustments while

operation result in the gradual loss of dielectric strength and

finally resulting in insulation breakdown[ I].

1171

Page 2: Abnormality Detection for Gas Insulated Switchgear using ... · PDF fileAbnormality Detection for Gas Insulated Switchgear using Self-Organizing Neural Networks ... switchgears. Gas

A recent report on the technology of insulation diagnosis of

electlic power equipment in utilities has shown that more than

40% of the current problems are accountable for the difficulty in

the detection of abnmmal operation of GIS which are mainly due

to the inability of assessing the internal status of a GIS[l2]. PMT

plays an important role in alleviating this problem.

The PMT detects small internal partial discharges, that provide

signs of final insulation breakdown, with the help of sensors

attached outside to tank. This is done so as to detect the

abnollTlality at an early stage in order to avoid its development to

a major fault. Abnormality detection using PMT can be divided

into two major tasks, namely the development of sensors and the

development of the diagnostic algorithm.

Many developments have been reported for the detection of

partial discharges using sensors[l 2]. These can be classified into

the following major categories of I) Vibration or acoustics

detection. 2) Electronic detection. 3) Optical or heat detection,

and 4) Gas analysis detection. Examples of the first category are

acceleration sensor, detecting the mechanical vibration of the tank

and the ultrasonic sensor detecting the waves propagating inside

the tank. Examples of the second category are the monitoring of

the voltage for the detection of dielectric strength, and the use of

electrode built in the insulation spacer. Examples of the third

category are IRTV, detecting heat produced in the tank and

photosensor method, detecting the radiation of light. The last

categories to detect dissolved gases such as SF4, SOFz and HF

caused by partial discharge. It can be concluded from the above

examples that there exists several techniques for developing and

selecting a suitable sensor for efficient detection of partial

discharge.

During the past few years, there has been few developments in the

diagnostic algorithm and process using sensors. Most of the

currently employed diagnostic algorithms use simple "threshold

systems" . The basic principle of the threshold system is as

follows . "If the output of the sensor signal is less than the

predefined threshold, then the GIS system is of nollTlal status,

else if the output is greater than the threshold, then the system is

of abnollTlal status and the equipment needs to be investigated

before the abnormality develops into a major disturbance".

Even though the simple threshold system is easy to implement, it

is associated with two major drawbacks. The first drawback deals

with the difficulty in detection of the details of abnormality, such

as the kinds of causes or location. The threshold system can only

provide information between the normal and abnormal statuses of

the equipment. The second drawback deals with the influence of

the environmental noise on the response of the threshold system.

It usually inferred that in most cases, if the output of the sensor

signal is large then the GIS is in abnormal status. · However the

simple threshold system is capable of misclassifying the normal

Topological Neighborhood

·.

Label

Neuron

Input Data

Fig. I A Self-Organizing Neural Network

Neuron

• Category-1

Category-4

Feature Space

Fig.2 Self-Organization and Learning Vector Quantization

status in the presence of noise as that on the abnormal status. In

order to overcome these drawbacks, detection techniques which

are unaffected by environmental noise need to be employed for

accurate and efficient classification. Self Organizing Neural

Networks (SONN), which is described in the following section,

promise to achieve the above mentioned tasks.

Self-Organizing Neural Networks

A brief review of SONN and Learning Vector Quantization (LVQ)

is presented in this section. Kohonen's research for the

development of SONN and LVQ has been motivated by the

following experiment. In the experiment using cat visual systems,

the fact was found that the order of arrangement of visual cell on

retina is approximately same as the order of neuron excited by

1172

Page 3: Abnormality Detection for Gas Insulated Switchgear using ... · PDF fileAbnormality Detection for Gas Insulated Switchgear using Self-Organizing Neural Networks ... switchgears. Gas

corresponding visual cell on visual regions on the brain. This kind

of correspondence between the arrangement of input and the

arrangement of neuron is called topological mapping.

Kohonen developed a solution to the above problem by expanding

it to competitive learning. His idea was that the neuron

topologically nearest to the most receptive neuron also responded

to the presentation of an similar input feature. In the following

discussion, it will be assumed that neurons are arranged in a 2

dimensional pattern depicted in figure I. The learning rule given

in [10,11] is as follows.

W(t+I)= IJ p IJ {

W.(t) + a(t)[x - W.(t)]

IJ W;j(t)

where,

ifi,jeN1it) if i,j ~ N1it)

(1)

W;i(t) weight vector of neuron at (i,j) position at epoch t

xP pth input feature vector

a(t) adaptation gain at epoch t

N1it) neighborhood set of neuron at (l,J) at epoch t

The most receptive neuron, i.e., the neuron most near to the input

feature is defined by equation (2).

(2)

The neighbourhood parameter is usually defined as the Euclidean

distance. Several other distance measures such as the inner

product can be employed since all components of the feature

vector considered as positive in this paper. As the learning

proceeds, the value of the adaptation gain and the neighborhood

reduce to zero in order to obtain stabilized convergence. In the

simulation, the initial value of adaptation gain a1 o was set to 0.9.

1 a(t) = a 0 t

1 N1J(t) = N0 -

t

(3) (4)

The initial value of neighborhood No was set to half of neuron

grid size and that also reduces to zero by the following equations.

In each epoch, learning rule (I) is applied to every presentation of

the input feature vector and the error, defined in equation (5), is

calculated. In the simulation, the convergence criterion is defined ·

by the maximum epoch number instead of error value, that is set

as a value of 20.

E = .!. L,~xP - wJJf 2 p

(5)

Actually speaking, learning rule (1) is the rule that reduces the

error defined by (5). The gradient by weight vector (5) is given in

equation (6). Equation (6) is the equivalent to the differential form

of learning rule ( 1 ).

~W.(t) =-VwE IJ ~

(6)

The essence of self-organization is equivalent to the clustering

algorithm shown in Figure 2 used for abnormality detection. In the

above figure, the data in the feature space are indicated as small

circles. The data with the same pattern are derived from the same

causes. The larger circles indicate the neuron of SONN. SONN

categorizes the data into four different types. Thus, each category

of data indicates the cause of abnormality. The learning algorithm

assigns the neurons in the feature space according to the

probability distribution of input data while preserving the network

topology. Each neuron has his own neighborhood region in the

feature space. In other words, feature space (or vector space) is

quantized into regions. The name LVQ is derived from this

characteristic. The neuron is the representative of each region and

is assigned the label of one of the abnormal categories. Kohonen's

LVQ algorithm is used for the fine adjustment of the boundary of

each region.

We guess, however, that strict LVQ algorithm is unnecessarily

and self-organization and assignment of the label to each neuron is

enough for abnormality detection of this case. This is because

strict LVQ is devised for fine adjustment of the boundary of each

category. This is effective for the case where the boundary is

complex. The experiments comparing the performance of SONN

for 5x5 and IOx I 0 neurons (Fig. IQ and II) show similar results.

This indicates there exists no-complex boundary and thus strict

LVQ has little effect for increasing the classification performance.

SONN has examples applied to security field[8,9] in the power

system.

Application of Self-Oreanjzine Neural Networks to

Abnormality Detection for GIS

Large quantity of experimental data is usually needed for

evaluating the performance of the neural network. However. it is

very difficult to obtain enough data from GIS operating the field.

Therefore experiments were conducted in the factory to simulate

actual fault conditions that would be expected to occur in the GIS

while in operation.

Figure 3 shows the simulated normal (Figure3. I) and various

possible abnormalities that occur in a GIS. In the above figure, the

junk is a small thin alurninum wire that simulates the presence of

the abnormal particle. Three practical conditions are simulated

corresponding to the relative location of the junk in the GIS tank,

which are classified as I) particle sticking to central conductor

(Figure 3.2), 2) particle sticking on the bottom of the tank (Figure

3.3), and 3) particle floating in the tank (Figure 3.4). One type of

abnormality is the contact failure between conductors(Figure 3.5).

The gap length is selected as a small value of less than 0.1 mm.

Another type of abnormality is contact failure between metal

fittings (Figure 3.6), which can be either due to loose fittings or

due to ageing and vibration of the tank.

1173

Page 4: Abnormality Detection for Gas Insulated Switchgear using ... · PDF fileAbnormality Detection for Gas Insulated Switchgear using Self-Organizing Neural Networks ... switchgears. Gas

Tank of GIS y

Central conductor ....

l Normal

2 Conductor fixed junk

3 Tank fixed junk

4 Floating junk

5 Small gap between conductors

Bad contact ---I I L.J

6 Insufficiently fixed metal fitting

Fig.3 Examples of Experimental Abnonnalites

I Time Average I

+ Amplitude Normalization

i Input to Neural Network

60HZ

Fig. 4 Sampling of Accelaration Sensor and Preprocessing

These abnormalities cause partial discharge inside the tank, that

cause vibrations in the insulated gas. These vibrations cause the

mechanical vibration of the tank, that can be detected as the

change in acceleration with the help of the acceleration sensor

attached outside the tank. Acceleration sensors are employed in

this experiment due to their compact size, light weight and

portability in comparison with other sensors .

Figure 4 shows the two stages of sampling of the sensor signal

and preprocessing. The sensor signal is sampled at a rate of 853

samples per cycle (1/60 second for 60Hz). Although 1024 points

1 Normal

2 Conductor fixed junk

3 Tank fixed junk

!OO("GJ~ OCuGJ

-100{UG:Jd1 Ds

4 Floating junk

5 Small gap between conductors

6 Insufficiently fixed metal fitting

Fig. 5 Examples of Original Sensor Signal

1 Normal 4 Floating junk

51:Ji 1~

8~.1 2 Conductor

fixed junk

J Hi

3Tank fixed junk

5 Small gap between conductors

6 Insufficiently fixed metal fitting

Fig.6 Examples of Time Averaged Spectrum of the Sensor Signal

of samples is best for the experiments, it has been limited to 853

sample points due to hardware limitations. However, thi s

sampling rate covers the whole frequency limitation of the sensor

and creates no problem for simulations conducted later. Sampled

data for one cycle is transformed to 1024 points spectrum by Fast

Fourier Transform (FFT). Initially these spectrums are averaged

for one cycle to cancel the noise. Next, normalization is performed

to reduce 1024 dimensional vector to a 64 dimensional vector and

make the spectrum suitable as an input feature vector of unit

length . Manipulating I 024 dimensional vector is both

computationally cumbersome and time consuming and cannot be

used for fast abnormality detection. It was concluded that 64

vector dimension is enough for the present objective of

abnormality detection. It is possible to improve the perfonnance

1174

Page 5: Abnormality Detection for Gas Insulated Switchgear using ... · PDF fileAbnormality Detection for Gas Insulated Switchgear using Self-Organizing Neural Networks ... switchgears. Gas

Gas Insulated Switchgear

FFT and other normalization

Self-Organizing Neural Network

Metal junk

Accelaration sensor

1 Normal 2 Conductor fixed junk 3 Tank fixed junk 4 Floating junk 5Small gap 6 Metall fitting

Fig. 7 The Architecture of Self-Organizing Neural Network

for larger dimensions, however, this require more computation

time and needs further study.

Figure 5 shows the examples of original sensor signal for both the

normal and abnormal status. In the above figure horizontal axis

indicates time scale of 1/60 second interval and vertical axis

indicates amplitude of sensor signal. The amplitude for the cases

of 'normal', 'conductor fixed junk', 'tank fixed junk' and 'floating

junk' is of the order of hundreds, while that of 'small gap between

conductors' is of the order of ten thousand and amplitude for

'insufficiently~fixed metal fitting' is of the order of thousands.

These examples show that the order of amplitude does not always

correspond to an abnormality status. This observation implies that

though the simple threshold system works well for most of the

cases, it is also capable of performing misclassification. In other

words, observation of amplitude or its corresponding value is not

enough for accurate abnormality detection. It is necessary to

obtain additional features in addition to the amplitude.

Figure 6 shows the examples of spectrum for both the normal and

abnormal status. Each status corresponds to the sensor signal

described in Figure 5. These spectrums are obtained after time

average but before normalization of dimension and vector length.

It is easier to distinguish between the normal and abnormal status

from the spectrum patterns rather than the original sensor signals.

This is the reason why the spectrum patterns are employed as

input feature vectors to the SONN. Figure 7 shows the complete

architecture of an abnormality detection system using SONN. The

above figure also illustrates the abnormality due to the case of

metal junk fixed on central conductor.

Simulation experiments were conducted in the following fashion.

The number of experimental data was approximately one hundred.

.................... ··1· .•. •• ·1· •• A A A A A A "" ......... ... ... ... .. " ... 4 ... " ......... " ... " ... ... A A A A A A

......... ... " " ... ... ... ... ... ... ... ... ·1·······1···· ........... ...

A A A A A A ... ..... " ... A A A A A A A ... " ...... ... ... ... A A A A ... A A ... ... ......... " ...

··1·······1 •.• ~ " ... " ...... .. ... ... " " .. : ... : ... : .. :..:"" ... :

Fig. 8 An Example of Learned 2 Dimensional Self-Organizing

Neural Network ( 5 x 5 neurons )

Fig. 9 An Example of Learned 2 Dimensional Self-Organizing

Neural Network ( 10 x 10 neurons )

Six data for normal status, 55 data for conductor fixed junk and so

on. Each data is transformed into an input feature vector of 64

dimensional unit vector. During learning, all of the learning data

were presented to the network for each epoch and learning rule of

equation (l) was applied for each learning data. After convergence,

all of the learning data were again presented to the network together

with the assignment of the label of each neuron. Each neuron

searches the nearest learning data according to equation (2) and is

assigned the abnormal status corresponding to the label of the

learning data as a label.

Figures 8 and 9 shows the examples of labeled 5x5 and lOxlO

SONN respecti vely. The number of causes corresponds to the

number in the Figure 3. Because of the competitive learning with

1175

Page 6: Abnormality Detection for Gas Insulated Switchgear using ... · PDF fileAbnormality Detection for Gas Insulated Switchgear using Self-Organizing Neural Networks ... switchgears. Gas

-~ 0 ...__.. Q) +-' co a: c 0 :e c C> 0 (.) Q)

a:

100.00

80.00

60.00

40.00

20.00

SONN(5x5)

I ...................... + ..........

10 20 30 40 50 60 70 80 90 0/o of Training Data

Fig. 10 Recognition Rate of Self-Organizing Neural Network

of 5 x 5 Neurons

-~ 0 ...__.. Q)

-rn a: c 0 :e c C> 0 U. Q)

a:

SONN(1Ox10) 100.00 --.-- .....---.--.....--.-- ,.--.--,..--,

0. 00 - ........ -+--i---+....-...1----1""~1'--"...,.....--"1

10 20 30 40 50 60 70 80 90

0/o of Training Data

Fig. 11 Recognition Rate of Self-Organizing Neural Network

of 10 x 10 Neurons

neighborhood, the same causes are assigned to the nearby neuron

in the 2 dimensional topology. This result can also be

contemplated from the Figure 2. Identical causes. result in the

formation of similar spectrum patterns. In the feature space (also

termed as spectrum space) the identical causes result in the

approximate distribution of neurons in the neighborhood with the

weights of the neuron corresponding to the cluster centers while

preserving the 2 dimensional network topology. Comparison of

Figures 8 and 9 shows the similarity of class distribution. Classes

I and 6 are widely separated and occupy diagonal locations, while

classes 1 and 4 are closely located. Classes 4 and 6 are also

closely located. However, further study is needed to understand

the distribution of the topology and the positions of each class.

Learning time of the SONN was of the order of a few minutes

simulated on SUN Spare Station 370 (l 7MIPS) that is

comparatively faster than Back Propagation (BP) learning. In the

previous work presented in[6,7] BP was employed that required

more than 1 hour for learning.

Figure 10 and 11 show results of the performance evaluation of

the SONN. The network size considered is of 5x5 for Figure JO

and !Ox 10 for Figure 11. The horizontal axes represents the

percentage of data used for learning from the whole experimental

data. For instance, the number '80' on the horizontal axes implies

that 80% of experimental · data was used for learning while the

remaining 20% of data were used for evaluation.

The definition of the terms 'correct' and 'incorrect' occurring in the

above figures are defined as follows . If the label of the nearest

neuron to the evaluating data is the same as that of learning data, it

is classified as correct, i.e ., after learning, each neuron is

associated with the label corresponding to either 'normal' or

'abnormal' status as shown in Figure 8 and Figure 9. The nearest

neuron is obtained from equation (2). If the label of this nearesl

neuron is as same as the cause of the evaluating data, then the

classification is defined as 'correct'. On the other hand, if the label

of the nearest neuron is different from that of evaluating data, it is

classified as 'incorrect'.

Investigation on above figures explains that approximately 80%

correction rate can be achieved with the present experimental data.

and slightly higher correction rate can be obtained if more learning

data is available . Comparison between Figure 10 and Figure 1.1

shows that similar results can be obtained for different network

sizes. The number of neurons for the. 1Ox10 network is four times

larger than that of the 5x5 network, i.e., SONN with 25 (5x5)

neurons is found to suitable for satisfactory perforrpance compared

to that of the SONN with 100 (1Oxl0) neurons for this

experiment.

The correction rate of 80% needs further study to improve the

classification performance. The factor responsible for decreasing

the correction rate is the data for class four corresponding to the

abnormal case of 'floating junk'. The junk piece , simulated by

means of a small thin aluminium wire, moves around the inside of

the tank. When the junk is near to the conductor, the abnormal

status is classified as that of 'fixed junk' (class 2) and when it is

near the bottom of the tank it is classified as 'tank fixed junk' (class

3). The classification rate is mainly inherent in the data other than

neural network architecture. This observation also suggests that

the same classification rate can be expected if all of the 100% of

the data is used for training the neural network. Further study

needs to be carried out to improve its performance. One such

possible strategy is the use of sensor fusion that employs more

than two kinds of sensor signals for efficient abnormality

1176

Page 7: Abnormality Detection for Gas Insulated Switchgear using ... · PDF fileAbnormality Detection for Gas Insulated Switchgear using Self-Organizing Neural Networks ... switchgears. Gas

discrimination .

In the Figure 11, BP(MNN) represents the result of neural

network using backpropagation conducted for the same

experimental setup described in [6,7]. If enough learning data is

available, BP achieves similar. correction rate as SONN. BP,

however, achieves poor performance due to the . limited

availability of learning data This difference of capability may be

derived from the difference of mathematical structure of SONN

and BP. In other words, SONN creates cluster centers of each

category in the feature space while BP must learn every boundary

of categories. Creating cluster centers is possible even for a few

number of learning data. Estimation of the exact boundary,

however, is difficult unless enough number of learning data is

The proposed method are still at a preliminary stage. On-line

learning in the real field, validation for other types of GIS and

combinations with other sensors are the next issue. The authors

expect that ANNs including SONN will have large potential for

practical diagnosis in the near future and are currently designing

the portable prototype system. The authors are conducting the

field tests to evaluate the system in the next few years.

References

1) IEE of Japan, "The report on diagnostic technologies and

reliability on switchgears", Vol.290, Jan. 1989.

2) DARPA, "DARPA Neural Network Study", AFCEA available. International Press, Fairfax, Virginia, 1988.

3) T. S. Dillon: et al., "Short Term Load Forecasting Using

Compared to BP, SONN has the advantages of fast learning and Adaptive Pattern Recognition and Self Organizing higher correction rate for small number of learning data. On the Techniques", Proc. of the 5th PSCC, pp.1-16, 1975.

other hand, BP may have the advantages such that BP can learn

exact category boundary if large number of learning data is

available. BP can produce analog value for classification results

that may be interpreted as the probability of cause estimation. In

the practical application, it is necessarily to learn the data in the

real field. This requirement gives rise to the advantage of SONN

because of its fast learning capabilities. It is important to note that

the simple threshold system can never be used to conduct such

kind of abnormality classification.

The proposed SONN structure is valid for all GIS. The learned

weight of SONN, however, is valid only for the one used in the

simulations or with similar mechanical structure. However, since

major parts of the GIS are designed in accordance to a standard

specification and consist of a combination of these parts, both of

the structure and weight of SONN will be generalized for other

similar GIS configurations.

Copclusjop

GIS are widely used power systems due to the main advantages of

compactness, excellent insulation strength and reliability of

operation. The enclosed structure of the GIS has prompted the

requirement of the PMT and related efficient and accurate

diagnostic algorithms other than conventional threshold system.

The ANN, that has the capabilities of category formation and

classification, is one of the potential methodologies to establish

required diagnostic algorithm. In this paper, the SONN is applied

to abnormality detection for GIS. In the experiment, we have

obtained the results such as (1) SONN can perform abnormality

classification with more than 80% correction rate for the

experimental data. (2) SONN can perform similar correction rate

for small number of learning data that BP can perform only poor

results. (3) The learning time of SONN is a few minutes. It is

dramatically faster than that of BP.

4) M. A. El-Sharkawi, et al., "Artificial Neural Networks as

Operator Aid for On-Line Static Security Assessment of

Power Systems", Proc. of lOth PSCC, pp.895-901, August,

1990.

5) H. Tanaka, et al.,"Design and Evaluation of Neural Network

for Fault Diagnosis", Proc. of the Second Symposium on

Expert Systems Application to Power Systems, pp.366-384,

July, 1989.

6) H. Ogi, et al. ,"Preventive Maintenance System for Gas

Insulated Switchgear using an Artificial Neural Network",

Proc . of the Third Symposium on Expert Systems

Application to Power Systems, pp.627-633, April, 1991.

7) H. Ogi, et al., "Fault Diagnosis System for GIS using an

Artificial Neural Network", Proc. of the First International

Forum on Applications of Neural Networks to Power

Systems, pp.112-116, July, 1991.

8) H. Mori, et al.,"An Artificial Neural-Net Based Method for

Estimating Power System Dynamic Stability Index", Proc.

of the First International Forum on Applications of Neural

Networks to Power Systems, pp.129-133, July, 1991. ·

1177

9) D. Niebur, et al. "Power System Static Security Assessment

Using the Kohonen Neural Network Classifier", Proc. of

IEEE Power Industry Computer Application Conference,

pp. 268-277, May, 1991.Vol.402, Jan. 1992.

10) T. Kohonen, "The Self-Organizing Map", Proc. of IEEE,

Vol.78, No.9, pp.1464-1480, Sep. 1990.

II) T. Kohonen, "Self-Organization and Associative Memory",

3rd edition, Springer Verlag, Berlin, 1989.

12) IEE of Japan, "The report on the technology of insulation

diagnosis of electric power equipment on operation", Vol.

402, Jan. 1992.


Top Related