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A REVIEW ON POWER QUALITY
DISTURBANCE CLASSIFICATION USING
DEEP LEARNING APPROACH
Muskan Rath
Computer Science and Engineering Dept
International Institute of Information Technology, Bhubaneswar
Abstract—Power Quality, a significant branch of power system
engineering, plays a crucial role in maintaining the power quality
supplied to consumers in the industry. The introduction of smart
grids further differentiates the significance of power output. A
single incident in power quality such as voltage drop triggered
by a transmission or distribution level failure will cost up to
millions of monetary losses for the affected industries. Power
Quality disturbances can be classified into Voltage sag, Voltage
Swell, Transient, Harmonic, Voltage Notch and Flicker. With the
help of digital techniques, at present, Power Quality disturbances
are tracked on-site and online. The primary objective of the
paper is to provide a thorough overview of the approaches in
deep learning for the automatic detection, identification and
classification of Power Quality Events, related to academics
following a line of investigation in the related area. The paper
further more gives insight on which of the techniques yields the
highest accuracy.
Keywords: Power Quality, Power Quality Disturbance, Deep
Learning, Convolutional Neural Network (CNN), Continuous
Wavelet transform, Sparse auto encoder, Stacked auto encoder
(SAE), Data classification, Multi-layer Convolutional neural Net-
work (MLCNN)
Index Terms—component, formatting, style, styling, insert
INTRODUCTION
Power Quality, in general, refers to the ability of electrical
equipment to consume the energy being supplied to it, ac-
cording to Captech. It has become a key concern as serious
problems begin to emerge that impact renewable energy,
energy efficiency and the atmosphere. Distributed generation
(DG) focused on alternate energy sources and traditional grids
is a challenge since it utilizes advanced power electronics
for monitoring, heavy non-linear loads, and microprocessor
and machine solutions [1-3]. There are available real-time
commercial PQ analyzer solutions. Fluke (Everett, WA, USA),
Yokogawa (Tokyo, Japan), and FLIR (Wilsonville, OR, USA)
are some of the principal manufacturers of PQ analyzers. The
simple functionality of PQ analyzer solutions is costly, but
the complex and comprehensive data can not be analyzed[4].
Due to fluctuations and loads, which alter the capacity of the
signals, non-stationary PQ disturbances happen. Disturbance
Identify applicable funding agency here. If none, delete this.
in power quality refers to the deviation exhibited in voltage
waveform, current waveform or natural frequency of the sys-
tem. In the power generation stage, disturbances can be caused
by renewable power suppliers like solar power and wind
power because of their inherent characteristic of oscillation,
arbitrariness, and irregularity. PQ disruptions may be due
to a rapid shift in frequency, amplitude, current and phase
angle. The output of renewable sources and the converters are
the main cause of disturbances leading to power unevenness
and voltage instabilities. In the transmission stage, the use
of battery-operated storages, the extensive usage of power
electronics devices like solid-state switches and converters
have severely increased the harmonic pollution. In the con-
sumption stage, the increased use of asynchronous motors,
electronic measurement devices, control devices, nonlinear
equipment and action of these tools decrease the quality of
the power supplied. Additionally, the synchronization and
optimum operation of local micro-grid systems overlap with
each other creating complex disturbances. We can solve this
problem by automated classification and identification of PQ
disturbances with appropriate methods[5-8]. Generally, the
process of identification of PQ disturbances consists of feature
extraction, feature selection, and classification[9]. The primary
types of power quality disturbances are Voltage sag, Swell,
Notch, Spike, Harmonics, Flickers and Interruption [10]. In
order to detect the power system disturbances can be detected
by employing several signal processing techniques like Fourier
transform (FT), Short-Time Fourier Transform (STFT), Dis-
crete Fourier Transform (DFT), Fast Fourier Transform (FFT),
Wavelet Transform (WT) for extraction, identification of fea-
tures. FT and STFT have been applied only to stationary
signals, STFT is an extension of DFT which does not apply
to non-stationary signals due to the fixed window size used.
The S-Transform (ST) also acts as a valuable tool for the
analysis of PQ disturbance; it blends WT with STFT and
provides a key mechanism for locating time frequencies [17].
A redundant representation of the time-frequency area[18] is
a significant downside to the S-Transform. Similarly, several
techniques for the analyzer of PQ are being studied, such
as Kalman Filter (KF), Discrete Orthogonal ST (DOST),
Curvelet Transform (CT), Hilbert-Huang Transform (HHT),
Singular Value Decomposition (SVD), Wigner distribution
function (WDF), Gabor transforms (GT). Principal component
analysis (PCA) is a basic multivariate statistical approach
to finding a set of projection vectors that maximize data
variance [19-29]. The key objective of PCA is Data reduction
and Interpretation. The improved version of PCA is IPCA,
which is similar to PCA. Some of the applications of PCA
are face recognition, hyper spectral images, and electro car-
diogram [30-33]. PCA is the most suitable decomposition
technique for feature extraction and automatic detection of
PQ Disturbances [34-36].An essential part of power quality
classification is feature selection and classification[37]. Neural
network classifiers such as Probabilistic Neural network and
artificial neural network have already been investigated for PQ
Classification [38-41]. Although with respect to classification
accuracy and computational cost, Support vector machine
(SVM), fast extreme learning machine (FELM) and nearest
centroid neighbor (NCN) are more dominant techniques to
the traditional NN [42-44]; in deep learning, CNN is found
the most accepted one and successfully applied to the hyper
spectral image, large-scale audio face recognition and image
classification [45–48].
LITERATURE REVIEW
In this paper, we are discussing in brief, the various models
proposed for Power Quality Disturbances using Deep Learning
Approach and on the basis of certain criterion, conclude
which method is the best. There are various models proposed
for PQ Disturbance Classification using Deep Learning, of
which we will be discussing three major methods [49-51].
By now, we are aware of the fact that perceiving and catego-
rizing Power Quality Disturbances can help in resolving the
related risks. Unlike in traditional approach, which divides
the process into independent stages, which include, signal
analysis, feature extraction, optimal feature selection, and
finally classification on the basis of those selected features.
In the model proposed by Ebrahim Balouji and Ozgul Salor
the approach of using deep neural network for Power Quality
event the researchers described classifications and recognition,
collected reference work from LeNet-5, googlenet, ImageNet
classification with deep convolutional neural networks by
Krizhevsky, A., Sutskever, I., Hinton and CNN all these
almost the same format or type of weight convolutional layers
and they are tracked by one or more fully connected layer. The
architecture of the model used had a standard neural network
that gets a single vector as the input and also have the full
connection to all the neurons of the previous layer, neurons
with single independent layer function. This provides the class
classification score termed as Weight(W). When the amount
of weight is not marginable then it would be obtained in the
first layer. In order to avoid over fitting problems , Multi-label
convolutional neural network (MLCNN) is used as the deep
learning method . MaxPooling and Convolution are the two
functions that were used by the researchers in this Multi-label
convolutional neural network. The deep learning platform that
was used for this purpose was DIGITS deep learning platform
of NVIDIA [49]. In [50], a Convolutional Neural Network
(CNN) model based on deep learning methodology has been
proposed to replace the traditional models. This paper, by
following IEEE-1159 standard, has simulated a total of 16
classes of disturbances, including combined disturbances. The
salient features of paper [49] are as follows:
I. VARIOUS MATHEMATICAL MODELS USED ARE AS
FOLLOWS:
• Power Quality Disturbances: This type of disturbance
is most common is multi energy system and micro-grids.
There are a total of 16 disturbances that are taken into
consideration in this review. The following disturbances
considered here are regular pure sinusoidal, single type
disturbance like voltage swell, voltage sag, flicker, in-
terruption, oscillatory transient and complex disturbances
like interruption with harmonics, sag with harmonics,
swell with harmonics, flicker with harmonics, sag with
swell, sag with interruption, swell with interruption, sag
with interruption and harmonics, swell with interruption
and harmonics, flicker with interruption and harmonics.
• Continuous Wavelet Transform (CWT): In this paper,
CWT is used to convert the 1-D signal information to
2-D image representation to provide as the input to the
proposed CNN model.
• Data-set Preparation: The model here requires a large
data set hence this was observed using MATLAB.The
constraints are made according to the IEEE standards
1159 [1].
A. Description of the layers in proposed model
• 2-D convolution layers: The output of this layer depends
on the activation function used. This returns the max
value of the triggering function.
• Pooling Layer: This type of layer is used to minimize
its dimension and extract distinct features.
• Cross-channel normalization layer: It substitutes every
element with a standardized value obtained from the
parameters of several adjacent channels
• Dense layer: This layer consists of inter linkage of
multiple neurons.
• Soft-max Layer: This layer is fitted with the triggering
function called ‘softmax’.This ensures that the number of
neurons are equal to the number of output class.
In [51], the deep-learning framework, Stacked auto en-
coder was used in order to extract high level features for
Power quality disturbance classification. This paper addresses
the previously unsolved issue regarding selection of optimal
feature for PQD. The additional tools, which assisted this,
were variance of signals and Particle Swarm Optimization
Algorithm. A 10-fold cross-validation was done to validate
effectiveness of the proposed classification scheme; In other
words, the given approach is noise resistant and achieves
the required classification accuracy rate. The paper helps in
overcoming the limitation like difficulty in selection of feature
candidates for forming an optimal feature that arises due to
other methods. The existing methods were useful only in
the subsequent classification and could not be completely
reconstruct the original signal, which was a major drawback.
There were speculations of other features, possibly ignored,
which could have contributed to the classification. So, in this
paper, a profound learning-based strategy is brought into the
arrangement of intensity quality aggravations (PQDs). Stacked
auto encoder, as a learning system, is utilized to remove ele-
vated levels of PQDs. In this unique circumstance, a formerly
unsolved issue with respect to ideal highlights’ determination
for PQDs can be tended to. The input data can be collected
without a class label in the self-supervised learning procedure,
which enable reconstruction of input signal by extraction of
features by the sparse auto encoder. No information is omitted
from the input data, which makes feature extraction more
effective as compared to other proposed methods. Moreover,
if a deep-learning classification method is used, the difficulty
in selection of optimal feature can be overcome. This helps
in avoiding difficulty of feature selection and extraction, and
achieves better classification rates than the other methods.
Sparse Auto encoder has been used to extract the features
in each hidden layer of the network. The first section of the
model discusses in brief the concepts of sparse auto encoder
and stacked auto encoder and makes a comparative study of the
two. The second section describes in detail the various PQD
classification schemes and finally, evaluates and displays the
experimental results. A sparse auto encoder is an unsupervised
learning framework of the neural network; comprising of Input
Layer, a hidden layer and an output layer, in which the output
layer is the same as the input layer. The input data is the
activation unit for the first layer. By applying back propagation
algorithm, the output values are enabled to gradually approach
the inputs, with the aim to minimize the distance between the
inputs and the outputs. A sparsity constraint was introduced for
desired sparsity in the hidden layers, which forces the hidden
layers to remain as inactive as possible. In each iteration, the
contribution of every unit in the hidden layer is calculated
and the partial derivatives of the cost function with respect W
and b compared, where W is weight parameter and b refers
to bias term. It can be derived from the above procedural
computations that limited memory quasi-Newton method (L-
BFGS) has been adopted in the given paper. From the second
section of the model, we can find that the main goal is
to minimize the error between the input and reconstructed
signals. For designing the experiments, MATLAB m-files were
used to randomly generate disturbances in power systems
by varying the various parameters in the equations. The
researchers took the fundamental frequency of PQDs 50 Hz,
sampling frequency as 3200 Hz and length of each signal as
10 cycles and got the waveform for the seven signals. The
PQDs data generated were two thousand disturbance signals
of each type. All the data are labeled based on their types; the
types like sag, interruption, swell, harmonic, oscillation, sag
C harmonic , and swell C harmonic were specifically labeled
with label pairs (1,1), (1,2), (1,3), (2,0), (3,0), (4,0), and
(5,0), respectively. A 10-fold cross-validation has been done to
validate the effectiveness of the proposed method. The PQDs
data are divided into 10 equal-sized parts, in which each of the
10 parts was kept to be the test set and the remaining 9 parts
used as training data and finally, the average of 10 groups of
results were taken to produce a single estimation. Two hidden
layers were set-up for the architecture of SAE, each having
two hundred neurons. There were 640 neurons of the input
layer. Some parameter values like sparsity parameter p=0.08 ,
weight decay parameter(set to 0.003) and weight were sparsity
penalty(3) were redefined. The weight parameter and the bias
term were initialized before training the neural network (of
SAE), which acted like a mapping function. All bias terms
were initialized to 0 and each weight parameter was initialized
randomly to avoid all neurons of hidden layers learning the
same mapping function. The number of iterations in the PSO
algorithm was set to 300 and the inertia weight as 0.7982
and the acceleration factors as r1=r2=0.2 The conclusions that
were drawn from the proposed methods in [49-51] were as
follows:
• From [49], it was found that 85% of the data is used
for training in the procedure of MLCNN and the rest
15% was used for testing. Accuracy and loss functions
were used to accurately calculate number of epochs
in NVIDIA’s DIGITS platform. In terms of learning
rate, it was observed that epoch number between few
intervals were critical but after increasing beyond certain
level it became useless as accuracy and loss remained
approximately same. Classification of Interruption events
and Discriminating dip events with different amplitudes
and duration, obtained by Deep Learning corresponds
to almost 100% accuracy. These classifications were
compared with labels assigned by the Human Expert and
it was observed to be 100% accurate.
• Now,in [50], after the training set was input, we observed
that the output has the net Average accuracy of 99.6%
whilst the loss was close to 0.01%.For different type
of noise disturbance like noise-40dB, noise-30dB, and
noise-20dB, the model resulted 99.75%, 99.59% and
99.22% respectively for noise less environment a 100%
was observed.
• It was concluded from the experiment in [51] that deep
learning-based method could be exploited to classify
the types of PQDs; the classification accuracy were
high, even with an increase in the noise intensity. Deep
learning-based classification can resist the interference of
noise to some extent, by employing data compression in
which the process of mapping the input layer into the
hidden layer, at each level of the sparse auto encoder.
It suppressed the effects of noise in the input data to a
large extent. Thus, it can be concluded that the sparse
auto-encoder has a robustness against noise; by using
an SAE algorithm, the classification rates are as high as
99.75%, 99.607%, and 98.529% for noiseless, 30 and 20
dB signals, respectively.
II. CONCLUSION AND FUTURE SCOPE
It is observed that the proposed method in [50] is better
than many traditional methods having a net average accuracy
of 99.6% if much better CNN is used it can be improved by
replacing the traditional layers used. As of this model this
gives a better solution for handling the vast amount of real-
time monitored data for analysis of power quality disturbance
occurring in the power network.
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A review on power quality disturbance classification using deep learning approach

  • 1. A REVIEW ON POWER QUALITY DISTURBANCE CLASSIFICATION USING DEEP LEARNING APPROACH Muskan Rath Computer Science and Engineering Dept International Institute of Information Technology, Bhubaneswar Abstract—Power Quality, a significant branch of power system engineering, plays a crucial role in maintaining the power quality supplied to consumers in the industry. The introduction of smart grids further differentiates the significance of power output. A single incident in power quality such as voltage drop triggered by a transmission or distribution level failure will cost up to millions of monetary losses for the affected industries. Power Quality disturbances can be classified into Voltage sag, Voltage Swell, Transient, Harmonic, Voltage Notch and Flicker. With the help of digital techniques, at present, Power Quality disturbances are tracked on-site and online. The primary objective of the paper is to provide a thorough overview of the approaches in deep learning for the automatic detection, identification and classification of Power Quality Events, related to academics following a line of investigation in the related area. The paper further more gives insight on which of the techniques yields the highest accuracy. Keywords: Power Quality, Power Quality Disturbance, Deep Learning, Convolutional Neural Network (CNN), Continuous Wavelet transform, Sparse auto encoder, Stacked auto encoder (SAE), Data classification, Multi-layer Convolutional neural Net- work (MLCNN) Index Terms—component, formatting, style, styling, insert INTRODUCTION Power Quality, in general, refers to the ability of electrical equipment to consume the energy being supplied to it, ac- cording to Captech. It has become a key concern as serious problems begin to emerge that impact renewable energy, energy efficiency and the atmosphere. Distributed generation (DG) focused on alternate energy sources and traditional grids is a challenge since it utilizes advanced power electronics for monitoring, heavy non-linear loads, and microprocessor and machine solutions [1-3]. There are available real-time commercial PQ analyzer solutions. Fluke (Everett, WA, USA), Yokogawa (Tokyo, Japan), and FLIR (Wilsonville, OR, USA) are some of the principal manufacturers of PQ analyzers. The simple functionality of PQ analyzer solutions is costly, but the complex and comprehensive data can not be analyzed[4]. Due to fluctuations and loads, which alter the capacity of the signals, non-stationary PQ disturbances happen. Disturbance Identify applicable funding agency here. If none, delete this. in power quality refers to the deviation exhibited in voltage waveform, current waveform or natural frequency of the sys- tem. In the power generation stage, disturbances can be caused by renewable power suppliers like solar power and wind power because of their inherent characteristic of oscillation, arbitrariness, and irregularity. PQ disruptions may be due to a rapid shift in frequency, amplitude, current and phase angle. The output of renewable sources and the converters are the main cause of disturbances leading to power unevenness and voltage instabilities. In the transmission stage, the use of battery-operated storages, the extensive usage of power electronics devices like solid-state switches and converters have severely increased the harmonic pollution. In the con- sumption stage, the increased use of asynchronous motors, electronic measurement devices, control devices, nonlinear equipment and action of these tools decrease the quality of the power supplied. Additionally, the synchronization and optimum operation of local micro-grid systems overlap with each other creating complex disturbances. We can solve this problem by automated classification and identification of PQ disturbances with appropriate methods[5-8]. Generally, the process of identification of PQ disturbances consists of feature extraction, feature selection, and classification[9]. The primary types of power quality disturbances are Voltage sag, Swell, Notch, Spike, Harmonics, Flickers and Interruption [10]. In order to detect the power system disturbances can be detected by employing several signal processing techniques like Fourier transform (FT), Short-Time Fourier Transform (STFT), Dis- crete Fourier Transform (DFT), Fast Fourier Transform (FFT), Wavelet Transform (WT) for extraction, identification of fea- tures. FT and STFT have been applied only to stationary signals, STFT is an extension of DFT which does not apply to non-stationary signals due to the fixed window size used. The S-Transform (ST) also acts as a valuable tool for the analysis of PQ disturbance; it blends WT with STFT and provides a key mechanism for locating time frequencies [17]. A redundant representation of the time-frequency area[18] is a significant downside to the S-Transform. Similarly, several techniques for the analyzer of PQ are being studied, such
  • 2. as Kalman Filter (KF), Discrete Orthogonal ST (DOST), Curvelet Transform (CT), Hilbert-Huang Transform (HHT), Singular Value Decomposition (SVD), Wigner distribution function (WDF), Gabor transforms (GT). Principal component analysis (PCA) is a basic multivariate statistical approach to finding a set of projection vectors that maximize data variance [19-29]. The key objective of PCA is Data reduction and Interpretation. The improved version of PCA is IPCA, which is similar to PCA. Some of the applications of PCA are face recognition, hyper spectral images, and electro car- diogram [30-33]. PCA is the most suitable decomposition technique for feature extraction and automatic detection of PQ Disturbances [34-36].An essential part of power quality classification is feature selection and classification[37]. Neural network classifiers such as Probabilistic Neural network and artificial neural network have already been investigated for PQ Classification [38-41]. Although with respect to classification accuracy and computational cost, Support vector machine (SVM), fast extreme learning machine (FELM) and nearest centroid neighbor (NCN) are more dominant techniques to the traditional NN [42-44]; in deep learning, CNN is found the most accepted one and successfully applied to the hyper spectral image, large-scale audio face recognition and image classification [45–48]. LITERATURE REVIEW In this paper, we are discussing in brief, the various models proposed for Power Quality Disturbances using Deep Learning Approach and on the basis of certain criterion, conclude which method is the best. There are various models proposed for PQ Disturbance Classification using Deep Learning, of which we will be discussing three major methods [49-51]. By now, we are aware of the fact that perceiving and catego- rizing Power Quality Disturbances can help in resolving the related risks. Unlike in traditional approach, which divides the process into independent stages, which include, signal analysis, feature extraction, optimal feature selection, and finally classification on the basis of those selected features. In the model proposed by Ebrahim Balouji and Ozgul Salor the approach of using deep neural network for Power Quality event the researchers described classifications and recognition, collected reference work from LeNet-5, googlenet, ImageNet classification with deep convolutional neural networks by Krizhevsky, A., Sutskever, I., Hinton and CNN all these almost the same format or type of weight convolutional layers and they are tracked by one or more fully connected layer. The architecture of the model used had a standard neural network that gets a single vector as the input and also have the full connection to all the neurons of the previous layer, neurons with single independent layer function. This provides the class classification score termed as Weight(W). When the amount of weight is not marginable then it would be obtained in the first layer. In order to avoid over fitting problems , Multi-label convolutional neural network (MLCNN) is used as the deep learning method . MaxPooling and Convolution are the two functions that were used by the researchers in this Multi-label convolutional neural network. The deep learning platform that was used for this purpose was DIGITS deep learning platform of NVIDIA [49]. In [50], a Convolutional Neural Network (CNN) model based on deep learning methodology has been proposed to replace the traditional models. This paper, by following IEEE-1159 standard, has simulated a total of 16 classes of disturbances, including combined disturbances. The salient features of paper [49] are as follows: I. VARIOUS MATHEMATICAL MODELS USED ARE AS FOLLOWS: • Power Quality Disturbances: This type of disturbance is most common is multi energy system and micro-grids. There are a total of 16 disturbances that are taken into consideration in this review. The following disturbances considered here are regular pure sinusoidal, single type disturbance like voltage swell, voltage sag, flicker, in- terruption, oscillatory transient and complex disturbances like interruption with harmonics, sag with harmonics, swell with harmonics, flicker with harmonics, sag with swell, sag with interruption, swell with interruption, sag with interruption and harmonics, swell with interruption and harmonics, flicker with interruption and harmonics. • Continuous Wavelet Transform (CWT): In this paper, CWT is used to convert the 1-D signal information to 2-D image representation to provide as the input to the proposed CNN model. • Data-set Preparation: The model here requires a large data set hence this was observed using MATLAB.The constraints are made according to the IEEE standards 1159 [1]. A. Description of the layers in proposed model • 2-D convolution layers: The output of this layer depends on the activation function used. This returns the max value of the triggering function. • Pooling Layer: This type of layer is used to minimize its dimension and extract distinct features. • Cross-channel normalization layer: It substitutes every element with a standardized value obtained from the parameters of several adjacent channels • Dense layer: This layer consists of inter linkage of multiple neurons. • Soft-max Layer: This layer is fitted with the triggering function called ‘softmax’.This ensures that the number of neurons are equal to the number of output class. In [51], the deep-learning framework, Stacked auto en- coder was used in order to extract high level features for Power quality disturbance classification. This paper addresses the previously unsolved issue regarding selection of optimal feature for PQD. The additional tools, which assisted this, were variance of signals and Particle Swarm Optimization Algorithm. A 10-fold cross-validation was done to validate effectiveness of the proposed classification scheme; In other words, the given approach is noise resistant and achieves the required classification accuracy rate. The paper helps in
  • 3. overcoming the limitation like difficulty in selection of feature candidates for forming an optimal feature that arises due to other methods. The existing methods were useful only in the subsequent classification and could not be completely reconstruct the original signal, which was a major drawback. There were speculations of other features, possibly ignored, which could have contributed to the classification. So, in this paper, a profound learning-based strategy is brought into the arrangement of intensity quality aggravations (PQDs). Stacked auto encoder, as a learning system, is utilized to remove ele- vated levels of PQDs. In this unique circumstance, a formerly unsolved issue with respect to ideal highlights’ determination for PQDs can be tended to. The input data can be collected without a class label in the self-supervised learning procedure, which enable reconstruction of input signal by extraction of features by the sparse auto encoder. No information is omitted from the input data, which makes feature extraction more effective as compared to other proposed methods. Moreover, if a deep-learning classification method is used, the difficulty in selection of optimal feature can be overcome. This helps in avoiding difficulty of feature selection and extraction, and achieves better classification rates than the other methods. Sparse Auto encoder has been used to extract the features in each hidden layer of the network. The first section of the model discusses in brief the concepts of sparse auto encoder and stacked auto encoder and makes a comparative study of the two. The second section describes in detail the various PQD classification schemes and finally, evaluates and displays the experimental results. A sparse auto encoder is an unsupervised learning framework of the neural network; comprising of Input Layer, a hidden layer and an output layer, in which the output layer is the same as the input layer. The input data is the activation unit for the first layer. By applying back propagation algorithm, the output values are enabled to gradually approach the inputs, with the aim to minimize the distance between the inputs and the outputs. A sparsity constraint was introduced for desired sparsity in the hidden layers, which forces the hidden layers to remain as inactive as possible. In each iteration, the contribution of every unit in the hidden layer is calculated and the partial derivatives of the cost function with respect W and b compared, where W is weight parameter and b refers to bias term. It can be derived from the above procedural computations that limited memory quasi-Newton method (L- BFGS) has been adopted in the given paper. From the second section of the model, we can find that the main goal is to minimize the error between the input and reconstructed signals. For designing the experiments, MATLAB m-files were used to randomly generate disturbances in power systems by varying the various parameters in the equations. The researchers took the fundamental frequency of PQDs 50 Hz, sampling frequency as 3200 Hz and length of each signal as 10 cycles and got the waveform for the seven signals. The PQDs data generated were two thousand disturbance signals of each type. All the data are labeled based on their types; the types like sag, interruption, swell, harmonic, oscillation, sag C harmonic , and swell C harmonic were specifically labeled with label pairs (1,1), (1,2), (1,3), (2,0), (3,0), (4,0), and (5,0), respectively. A 10-fold cross-validation has been done to validate the effectiveness of the proposed method. The PQDs data are divided into 10 equal-sized parts, in which each of the 10 parts was kept to be the test set and the remaining 9 parts used as training data and finally, the average of 10 groups of results were taken to produce a single estimation. Two hidden layers were set-up for the architecture of SAE, each having two hundred neurons. There were 640 neurons of the input layer. Some parameter values like sparsity parameter p=0.08 , weight decay parameter(set to 0.003) and weight were sparsity penalty(3) were redefined. The weight parameter and the bias term were initialized before training the neural network (of SAE), which acted like a mapping function. All bias terms were initialized to 0 and each weight parameter was initialized randomly to avoid all neurons of hidden layers learning the same mapping function. The number of iterations in the PSO algorithm was set to 300 and the inertia weight as 0.7982 and the acceleration factors as r1=r2=0.2 The conclusions that were drawn from the proposed methods in [49-51] were as follows: • From [49], it was found that 85% of the data is used for training in the procedure of MLCNN and the rest 15% was used for testing. Accuracy and loss functions were used to accurately calculate number of epochs in NVIDIA’s DIGITS platform. In terms of learning rate, it was observed that epoch number between few intervals were critical but after increasing beyond certain level it became useless as accuracy and loss remained approximately same. Classification of Interruption events and Discriminating dip events with different amplitudes and duration, obtained by Deep Learning corresponds to almost 100% accuracy. These classifications were compared with labels assigned by the Human Expert and it was observed to be 100% accurate. • Now,in [50], after the training set was input, we observed that the output has the net Average accuracy of 99.6% whilst the loss was close to 0.01%.For different type of noise disturbance like noise-40dB, noise-30dB, and noise-20dB, the model resulted 99.75%, 99.59% and 99.22% respectively for noise less environment a 100% was observed. • It was concluded from the experiment in [51] that deep learning-based method could be exploited to classify the types of PQDs; the classification accuracy were high, even with an increase in the noise intensity. Deep learning-based classification can resist the interference of noise to some extent, by employing data compression in which the process of mapping the input layer into the hidden layer, at each level of the sparse auto encoder. It suppressed the effects of noise in the input data to a large extent. Thus, it can be concluded that the sparse auto-encoder has a robustness against noise; by using an SAE algorithm, the classification rates are as high as 99.75%, 99.607%, and 98.529% for noiseless, 30 and 20
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