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Fault Diagnoses for Three Phase Inverter of the
Power Electronic Converter using DWT and
MANFIS
Mrs.Sujatha S, Assistant Professor, BMCE, Sasthamcotta
Ms. Hyma H S, Assistant Professor, BMCE, Sasthamcotta
Abstract: In industry, inverters that are centered on power electronics (such as, ‘3’-Phase Pulse
Width Modulation (PWM)) acts as the chief components. As there are numerous faults that are
present in the inverter, its performance debases. For the failure detection of disparate switches
and also tracing manifold kinds of faults that happen in an inverter, a fault diagnostics frame is
utilized which has a pattern recognition system and also machine learning technology as its
integral part. An integrated technique aimed at the process of fault diagnosis (FD) and
classification during open as well as short circuit faults that occur in ‘3’-phase inverter circuits
are proposed here. Initially, the discontinuity in currents as a consequence of the fault is detected
by utilizing Discrete Wavelet Transform (DWT), followed by which the features for FD are
extracted. Information concerning the transistor faults together with the equivalent fault ID can
well be on the fault dictionary. Fault classification is executed with the help of the Modified
Adaptives Neuros-Fuzzy Inference System (MANFIS). As of the experimental outcomes, it is
evident that the combination of DWT with MANFIS yields superior outcomes than the existent
techniques.
Key words: Fault Diagnosis, DWT, Power electronics converters, Adaptive Neuro-Fuzzy
Inference System (ANFIS), Modified ANFIS (MANFIS),
1. INTRODUCTION
Nowadays, Power Electronics (PE) is utilized by the majority of the techniques that go after
power conversion. The technological advancement of PE is a vital milestone that occurred during
the past century [1]. The PE devices are utilized increasingly in adjustable speed drives [2], arc
furnaces, escalators, bulk rectifiers, elevators, power supplies, fluorescent lamps, escalators,
Journal of Xi'an University of Architecture & Technology
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larger air conditioning systems, et cetera and also a rapid augmentation on renewable energy
generation [3]. PE systems at high power level handle static as well as rotating equipment for the
generation, transmission, in addition to distribution that is managing large measures of power
[4]. Quality and reliability are provided for today’s PE products and immense importance is
placed on high power density, high efficiency, along with low cost [5]. The PE equipment
incorporated silicon carbide (SiC) targeting high voltage, high power applications, and also
gallium nitride (GaN) targeting low voltage, low power applications under commercialization
[6].
PE systems play a major role in techniques that employ microprocessors encompassing
microcontrollers, Digital Signal Processors (DSP), along with Field Programmable Gate Arrays
[7] and the advance of Very Large Scales Integration (VLSI) and Ultra-Large-Scales Systems
(ULSS). An vital issue that the PE-Converters (PECs) face is the design of these devices.
Traditionally, PECs design is developed in the form of sequence, but it encompasses some cons,
such as the converter exhibit bad dynamic performance or unanticipated behavior in opposition
to disturbance along with uncertainties [8]. Also, the converters and inverters based system have
some faults. The faults are recognized by using some methods.
Generally, the PECs have five categories such as AC-DC converter [9] (Controller Rectifier),
DC-DC converter (DC Chopper), AC-AC converter (AC voltage regulator), DC-AC converter
(Inverter) and static switches. For the optimum harvesting of energy and also the integration of
affable energy systems, PE technology is a must. New and emerging power devices are
incorporated in the PE development, whose switching speed and efficiency’s performances are
higher. PE will mostly be utilized extensively in numerous applications in the future [10].
The remaining section is given as: Section 2 delineates the associated works. Section 3
detailed the proposed technique. Section 4 offers the investigational results. Section 5 deduces
the paper.
2. RELATED WORK
Seyed Saeid Moosavi et al. [11] generated an artificial neural network (ANN)-centered method
for FD subsequent to pattern extraction. For ANN training, the pattern below AC–DC converter
malfunction was employed. It encompassed ‘4’ disparate phases of switches fault centered on
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simulation as well as experimental outcomes. Made certain the accuracy together with the
oversimplification of the commenced pattern, capacitor size changes, load, along with speed
variations were regarded. The outcomes authenticated the simulation outcomes thoroughly.
Bilal Djamal Eddine Cherif and Azeddine Bendiabdellah [12] examined an analysis and
discovery of an open-circuit fault on a 3-phase 2-level voltage source inverter fed induction
motor. It was centered upon the DWT with the neural network (NN) aimed at the Insulated-gates
bipolar transistor (IGBT) open-circuit FD. Several experiments that were performed in the LDEE
laboratory authenticated the disparate attained outcomes for assessing effectiveness as well as the
pros of the joined DWT-NN.
Marjan Alavi et al. [13] introduced the 'FD-and-isolation’ technique aimed at faulty metal-oxide
semi-conductor field-effect transistors on a 3-phase PWM voltage sources inverter (VSI).
Voltage space stands as the time-free domain wherein the switching signals were analyzed. The
FD time was ‘1’ PWM carrier period and it was rapid compared to current centered traditional
techniques. The load, PWM switching frequency, along with the feedback loop was not included
while taking the outcome. The technique addressed the dependability issue of multi-level
inverters on renewable electrical generation systems as well as could dramatically lessen the
needed sensors.
V. Gomathy and S. Selvaperumal [14] exhibited a technique aimed at FD and also a
classification for open- along with short-circuits faults in 3-phase inverter circuits. The
discontinuity on currents that is brought about by means of a fault was detected by means of
DWT together with principal-component-analysis. The FD was extracted. A fault dictionary was
employed to attain details concerning transistor faults along with their equivalent fault
identification. Fault classification was carried out by means of a fuzzy logic along with a
relevance vectors machine (RVM). Investigational outcomes confirmed that the CSO-RVM gave
better outcomes than the CSO-fuzzy logic system.
Mehdi Salehifar et al. [15] developed a technique that could execute the fault-tolerance control
of a 5-phase BLDC motor called the finite controls set-models predictive control, which was
plain, flexible and fast. An FD that was centered upon the available data as of the control block
was employed. It was vigorous, simple, in addition, could localize manifold open circuit faults.
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The FD in addition to Fault-Tolerance control was integrated in a 5-phase BLDC motor drive. So
as to authenticate the presented theory, simulation along with investigational outcomes was
performed on a 5-phase 2-level VSI providing a 5-phase BLDC motor.
3. PROPOSED METHODOLOGY
For guaranteeing the safety along with reliability, the requirement of FD is more in the
diagnostic system. The prediction of faulty component/region is dealt with the fault analysis as
of the phase voltage, and also current features here. The prediction of the faulty component helps
for identifying the output signal variation that averts the damage to the load that is fixed at the
inverter end, which in turn offers safety and precaution. The faulty circuit is the incessant
unexpected circuit’s behavior. IGBT failures are classified as i) intermittent gate misfiring, ii)
open circuit and iii) short circuit faults. Centered upon wavelet transform (WT), every phase of
the 3-phase inverter circuit is examined. The transform coefficients’ standard deviation is
inputted to the classifier for the fault type’s identification. Thus, the FD of ‘3’-phase voltage
source inverter is done by the following steps:
Initially, the disparate fault features along with non-faulty conditions as of the inverter’s
phase voltage output are extracted utilizing DWT.
After that, by means of extracting the transform coefficients’ standard deviation, the fault
dictionary is built.
The identification of the fault-type is performed centered upon the CUT parameters in the
MANFIS classifiers. The proposed method’s architecture is exhibited in figure1.
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Figure 1: Architecture of the proposed method
3.1 Three Phase Inverter
The conversion of direct to alternating current is performed by the inverter. PWM
technique is utilized for controlling the switches. Inverter encompasses in total '3'-phases and
each of which encompasses '2' IGBT switches. Intersective method is employed to create the
PWM waveform. In this method, a triangle waveform is taken as a reference signal. The
modulation waveform is contrasted with a reference signal using a comparator. Inverter power
faults are bifurcated into i) short and ii) open circuit. IGBT stays in off-state for the open circuit
fault condition. In most cases, a short circuit causes an excessive flow current, which is detected
by the standard protection system, and shut down is carried out. Open-circuit fault happens when
the bonding wires are hefted on account of the thermic cycling, but it does not cause a shutdown,
instead, it demeans the system performance. Figure 2 exhibits the 3-phase voltage source
inverter’s basic structure.
Figure 2: Basic structure of three-phase voltage source inverter
3.1 Feature Extraction using DWT
This is performed to ameliorate the difference in the current change that occurs between the
transistor base drive short - open circuit fault as well as other faults, for instance, intermittent
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misfiring across inverter switching devices, load disturbance along with single line to ground at
machine terminal. Here, with the assist of DWT, the feature extraction is performed. In the signal
processing, the DWT decomposes an input signal in to a collection of elementary waveforms,
termed wavelets and gives the means to analyze the signal via examining the coefficients of
these wavelets. For detecting the change in the output parameter, DWT is employed. In general,
a localized region of a bigger signal is examined by wavelet. Wavelet analysis, unlike other
signal processing methods, shows higher competence analyzing patterns, break-down point’s
judgments along with discontinuity examination. Further, the analysis and synthesis of the
original signal can well be performed with reduced consumption time. The signals are analyzed
by using filters at different frequencies and scales. The Low Pass Filter together with High Pass
Filter is used in the analysis of low frequency and high-frequency signal respectively. The WT is
a method used for analyzing the signals. The DWT is a distinct case of the WT, which offers a
dense depiction of a signal that can efficiently be computed. The mathematical expression for
DWT is provided by
p
p
kp 2
2kqkd
2
1q,pDWT (1)
Where kd implies the discrete signal that is signified as a function of its coefficients,
signifies the mother wavelet (window function), p and q indicate the time scale parameters, k
implies the discrete-time along with total co-efficients in the DWT, p2 signifies the variable for
scaling, p2k indicates the variable for shifting, and p2
1 implies the energy normalization
component to make certain the same scale as the mother wavelet. The original signal sequence
kd could be signified by a sum of the entire elements, simply put, the sum of the entire details
and the approximation components at the last level of decomposition, For example, for two
levels of decomposition, the representation is:
kWfkDfkDfkWfkDfkd 2222111111 (2)
where 1D and 2D implies the detail elements of the 1st and 2nd decomposition levels
respectively, 1W and 2W are the approximation components of the 1st and 2nd decomposition
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levels, jf implies the coefficient of the detail or approximation components at the j th
decomposition level, as well as kWfkDfkWf 222211 .
In the Multi-Resolution Analysis implementation for DWT, the scaling along with
wavelet functions are provided by
qt22t p2p
q,p
(3)
qt22t p2p
q,p
(4)
Where, tq,p denotes the scale function, and tq,p is the wavelet function of time t .
3.2 Fault Dictionary Database
A database consisting of faults information that the simulators use to ascertain the fault coverage
is stated as a fault dictionary. The diagnostic system uses the fault dictionary to identify the fault
type while diagnosing the issue. Here, a fault dictionary is created by means of extracting the
transform coefficients’ standard deviation, which is taken as of [14].
3.3 MANFIS
A MANFIS system is utilized to classify the kinds of faults subsequent to getting the
standardized peak values of the wavelet coefficients of fault signals. ANN in addition to fuzzy
logic is utilized in the ANFIS structure, thus it encompasses pros of both. Its inference system
embodies a collection of fuzzy IF-THEN rules, which encompasses a learning capability for
approximating the non-linear functions.
The ANFIS structural design comprises ‘5’ layers. The initial layer ascertains the membership
functions (MF) of the input values, which is commonly called the fuzzification layer. The 2nd-
layer generates the firing strengths for the rules, thus, it is termed as a rule layer. By means of
dividing every value for the total firing strength, the 3rd-layer normalizes the calculated firing
strengths. The normalized values together with their consequence parameter set are inputted to
the 4th-layer and its output is called the defuzzificated ones, which are inputted to the final-layer
to acquire the last output.
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The normal ANFIS model utilizes the bell-MF whereas the proposed work uses Gaussian kernel
MF for ameliorating the rule generation process's performance. So the ANFIS is called modified
ANFIS (MANFIS). The two basic rules of ANFIS are specified in the below equations.
Rule 1: If 1cW is iS and 2cW is iT then,
i1ciicii zWvuWRules (5)
Rule 2: If 1F is 1iS and 2F is 1iT then,
1i1ci1ici1i1i zWvWuRules (6)
Where iS , iT , 1iS and 1iT specifies the fuzzy sets. ciW
and 1ciW values represent the
different extracted wavelet coefficients of fault signals. iu , iv , iz , 1iu , 1iv & 1iz values are the
parameter set. The layers in ANFIS are elucidated as follows
Layer-1: every node stands as an adaptive node encompassing a node function
ciSi,1 WOi
(7)
Here, ciW implies the input to node i . Each node adapts to a function parameter. The
output from each node is a degree of member-ship value that is provided by the input of the
member-ship function (MF). The MF that is utilized in the proposed work is Gaussian kernel
MF. This is specified in the succeeding equation.
2
i
2
ii
Sz2
vuexp
i
(8)
Where, iu , iv and also iz are the MFs parameters that could change the MF shape. The
parameters are alluded to as the premise parameters.
Layer 2: Every node here stands as a fixed node, which is labeled ANFIS, outputs the product of
the entire incoming signals.
)W()W(QO 1ciSciSii,2 ii (9)
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This layer i,2B output signifies the rule’s firing strength.
Layer 3: similar to layer-2, each node here stands as a fixed node that is labeled as N. The i th
node gauges the proportion of the firing strength of the ‘ i th’ rule and the sum of the entire rules'
firing strengths. And its output is called as normalized firing strengths.
6....2,1i,Q
QQO
i
i
ii,3
(10)
Layer 4: every single node similar to layer-1 is basically an adaptive node encompassing a node
function.
iii,4 Rules.QO (11)
Here, iQ implies the normalized FS as of the previous layer and iRules signifies the
system’s rule. The parameters that are employed are termed as succeeding parameters.
Layer 5: The single node that is present here is also a fixed node that is labeled ANFIS, which
calculates the general outcome as the summation of the entire incoming signals. And, the circle
node is symbolized as
i i
i ii
i
i
ii,5Q
RulesQRulesQO (12)
4. RESULT AND DEISCUSION
In this part, the proposed FD system’s performance is analyzed. The proposed work is
functioning in the platform of MATLAB/Simulink. The proposed FD system centered on
MANFIS’s performance is weighed against the existing Cuckoo Search Optimization-Relevance
Vector Machine (CSO-RVM) system centered on standard deviation, accuracy, along with
simulation time. The voltage on phase A, phase B, along with phase C of the inverter circuit is
regarded as input for the evaluation procedure. The output signal for non-faulty conditions of
phase A, phase B together with phase C is exhibited in Figure 3,
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Figure 3: Output signal for no-faulty conditions of phase A, B and C
Figure 4: Demonstrate the performance of the proposed MANFIS with the existing CSO-RVM
in terms of accuracy
Figure 4 shows the proposed MANFIS’s performance with the CSO-RVM centered upon
accuracy metric. The proposed MANFIS has 93.45% accuracy but the existing CSO-RVM has
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88.78% accuracy which is below the proposed work. It deduced that the proposed work has
enhanced performance when weighted with the existing methodology.
Figure 5: comparison graph for the proposed MANFIS with the existing CSO-RVM based on
the standard deviation
Figure 5 compared the proposed MANFIS’s performance with the existing CSO-RVM in
respects to standard deviation. The proposed MANFIS has a 347.89 standard deviation but the
existing CSO-RVM has a 296.32 standard deviation that is lower than the proposed method.
Thus, it deduced that the MANFIS has enhanced performance when weighted against the
existing method.
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Figure 6: Illustrate the performance of the proposed MANFIS with the existing CSO-RVM
based on simulation time in seconds
Figure 6 shows the proposed MANFIS’s performance with the existing CSO-RVM in terms of
simulation time in seconds. The proposed MANFIS took 0.35s for simulating the work but the
existing CSO-RVM takes 0.57s time for completing the task. Hence, it proved that the proposed
work has superior performance to that of the existing methodology.
5. CONCLUSION
The PE’s reliability is of supreme significance in aerospace, industrial, commercial, as well as
military applications. Faults that occur in power converters are categorized as i) short circuit, ii)
open circuit, and iii) degradation faults. Short circuits (S-C) in most cases bring about a
condition in which an excessive measure of current overflows that is readily detected and acted
upon by standard protection systems. An integrated technique aimed at the process of fault
diagnosis (FD) and classification during open as well as short circuit faults that occur in ‘3’-
phase inverter circuits are proposed here. Initially, a discontinuity of currents is detected that
occurred because of the fault utilizing DWT and the features are extracted. Then, the MANFIS
performs the Fault classification. The proposed system’s performance is compared with the
existent systems regarding standard deviation, accuracy as well as simulation time. The proposed
system gave a better performance when weighed in opposition to the existent method.
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Journal of Xi'an University of Architecture & Technology
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Issn No : 1006-7930
Page No: 336