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ARTIFICIAL NEURAL NETWORKBASED
PROTECTIVE SCHEMES
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Topics I will focus
Introduction
ANN, What does it mean ?
Mathematical modeling of ANN
Application in Power system protection
Conclusion
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Most important functional unit in human brain a class of cells called
NEURON
Dendrites Receive information
A bit of biology . . .
Cell Body Process information
Axon Carries processed information to other neurons
Synapse Junction between Axon end and Dendrites of other Neurons
Dendrites
Cell Body
Axon
Synapse
http://heart.cbl.utoronto.ca/~berj/neuron.gif8/2/2019 Artificial Neural Networkon Electrical
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ANN What does it mean?
The complex neural structure inside the human brain forms a massive parallel
information system ,the basic processing unit is the NEURON. This contrasts with
conventional computers in which a single processor executes a series of instructions
Neuro - Computing is something called the brain-like computations.
It is composed of a large number of highly interconnected processingelements (neurons) working in unison to solve specific problems.
From a mathematical point of view ANN, is a complex non-linear function
with many parameters that are adjusted (calibrated, or trained) in such a way
that the ANN output becomes similar to the desired output.
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The first step toward artificial neural networks came in 1943when Warre McCulloch, a neurophysiologist, and a youngmathematician, Walter Pitts, wrote a paper on how neuronsmight work. They modeled a simple neural network withelectrical circuits.
History
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Mathematical Model of An Artificial Neuron
Receives Inputs X1 X2 Xp from environment Inputs fed-in through connections with weights Total Input = Weighted sum of inputs from all sources Transfer function (Activation function) converts the input to output Output goes to other neurons or environment
f
X1
X2
Xp
I
I = w1X1 + w2X2+ w3X3 + + wpXp
V = f(I)
w1
w2...
wp
Dendrites Cell Body Axon
Direction of flow of Informationy1
y2
y3y4
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ANN Feed-forward Network
A collection of neurons form a Layer
Dire
ctionofinformationflow
X1 X2 X3 X4
y1 y2
Input Layer- Each neuron gets ONLY
one input, directly from outside
Output Layer- Output of each neuron
directly goes to outside
Hidden Layer- Connects Input and Output
layers
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Free parametersDecided by the structureof the problem
# Input Nrns = # of Xs
# Output Nrns = # of Ys
One particular Model an Example
Input: X1 X2 X3 Output: Y Model: Y = f( X1 , X2 , X3 )
X1X2 X3
Y
0.5
0.6 -0.1 0.1-0.2
0.7
0.1 -0.2
Parameters Example
# Input Neurons 3
# Hidden Layers 1
# Hidden Layer Size 2
# Output Neurons 1
Weights Specified
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How to train the Model ?
E= ( Yi V
i)2
Start with a random set of weights.
Feed forward the first observation through the netX1 Network V1 ; Error = (Y1 V1)
Adjust the weights so that this error is reduced( network fits the first observation well )
Feed forward the second observation.Adjust weights to fit the second observation well
Keep repeating till you reach the last observation
This finishes one CYCLE through the data
Perform many such training cycles till theoverall prediction errorE is small.
Fee
d
forward
BackPropagation
Training the Model
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Characteristics of the ANN
The NNs exhibits mapping capabilities, that is they can map input patterns
to their associated output patterns.
The NNs learns by example. Thus NN architectures can be trained with
known examples of the specific problem before they are tested for their
inference capability to unknown instance of the problem.
The NNs can process information in parallel, at high speed.
Learning of Ann
Supervised learning.
Unsupervised learning.
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PROTECTIVE RELAYING MECHANISM
Different parts of the fault clearance chain
RELAY
BUS
CT
CVT
TRIP COMMAND
LINE
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INPUT DATA FROM
CTs & CVTs
ANN TRAINING
(Supervised /
Unsupervised )
DATA FROM POWER SYSTEM
SIMULATION
SUBSTATION
HISTORICAL
DATABASE
NEURAL NETWORK
MODEL
NEURAL NETWORK BASED FAULT DIAGNOSIS
FAULT
DETECTED ?
NO
YES
TRIP COMMAND TO
BREAKER
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THE DESIGN PROCEDURE AND CONSIDERATIONS
Essential issues for formulating a neural network model canbe outlined as follows
Preparation of suitable training data Selection of a suitable ANN structure
Training of the ANN
Pattern recognition and classification
Evaluation of the trained network using test pattern
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High Impendence fault detection
A high impedance arcing fault in a distribution feeder can not be easily
detected using the conventional over current relay.
Ebron, Lubkeman & White proposed the use of ANN for detecting high
impedance fault.
The network was trained by a set of current patterns of arcing faults of a
12KV feeder, arc welder and varying loads .
The raw data obtained from the simulation are
Peak values of transient currents over 3 phases
Current before and after the largest transients
1st, 3rd, 5th harmonics of the transient currents
Magnitude of positive sequence current
One training pattern consists of 10 cycles of the above data mentioned.
The range of input data are brought between 0 to 1. Contd
h f h k h h d f l
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The target output of the network is 1 in case a high impedance fault ,
otherwise it is set to 0.
The input layer, hidden layer, output layer has 33,6 and 1 nodes respectively
The trained network was tested by the data that was never seen by the n/w. Fig.1 shows the current and output of the neural network for an arcing fault.
Fig.1(a) Input current Fig.1(b) ANN output for arcing fault
Fig.2(a) Input current Fig.2(b) ANN output for arc Welder
Fig.2 shows the current and neural network response for an arc Welder.
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Improvement of Distance Relaying Among the components of an electric power system, the
transmission line is the most susceptible element to experience
faults, especially if its physical dimension is considerable.
The principle of these techniques is the measurement ofimpedance at a fundamental frequency between the relay
location and the fault point; thus, determining if a fault isinternal or external to a protection zone.
power system protection techniques involve identification ofthe pattern of the associated voltage and current waveformsmeasured at the relay location.
As ANN provides excellent features for pattern classificationand recognition, it can be successfully applied here.
Contd
C i l di l i d ' d i f
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Conventional distance relaying doesn't produce satisfactoryresult, when fault occurs at very close distance to the protectedzone.
Pre-processed voltages and currents are used as inputs tothe ANN, which determines the fault location. Finally, a logicunit issues the trip order based on the output of the ANN.
A simulation is done for a transmission line under differentfaulted conditions assuming. The 100 km, 220kV transmissionline used to train and test the proposed ANN as shown in figure .
Contd
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It is assumed that the relay is to protect 80% of the line, i.e.,80 km. Fault data are generated at different distances for variousfault types, fault resistances.
Three phase voltages and currents taken and sampled at therate 1 kHz. These values are scaled to have values between1 and -1.
Training is done by providing the historical data and thesimulated data as obtained above.
For faults inside the protection zone, a trip signal will be sent
to the circuit breaker through the logic unit as ANN output is 1.
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Conclusion:-
The neural network approach is quite beneficial since it allows
For on-line learning, which is not available in conventional
Techniques.
This biologically inspired computation technique , if trainedproperly it will produce more accurate and reliable outcomes.
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http://www.weekipedia.com/8/2/2019 Artificial Neural Networkon Electrical
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