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International Journal of Engineering Research and Development
e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com
Volume 6, Issue 11 (April 2013), PP. 55-61
55
Improving the Reliability in PMSM for Wind Turbine
V.P.Prawyn Jeba1
, Dr.S.Rajakumar2
1
Department of Energy Engineering , Regional Centre , Anna University Tirunelveli Region , Tirunelveli – 07.
2
Assistant Professor , Department of Energy Engineering, Regional Centre , Anna University Tirunelveli Region ,
Tirunelveli – 07.
Abstract:- The wind turbine converts the wind energy into electrical energy, wherein the electrical
machines are coupled with wind turbines for this conversion. The electrical machines are liable to meet
with faults, but to regain the system reliability the faults should be detected earlier. According to
studies of electrical power research institute (EPRI) most of the faults in electrical motors are created
in bushes (41%) and winding (37%).Since there is increased probability of winding fault in motors, its
fault diagnosis is very important. The fault often occurs with winding isolators. Inter-turn winding fault
creates short circuit in phase winding and changes the phase impedance thereby the machine becomes
unbalanced. Rate of impedance reduction depends on the intensity of the fault. To diagnosis winding
fault approaches based on frequency analysis are studied, MCSA is used to determine the fault in the
stator winding.
Keywords:- Fault detection, MCSA , Permanent Magnet Synchronous Motors (PMSM) , Winding
fault.
I. INTRODUCTION
Permanent Magnet Synchronous Motors (PMSM) are the most important electrical machines used
nowadays. The advantages of PMSMs are high power density and easy control of external torque by stator’s
current control. The use of these machines was limited earlier due to their high manufacturing cost. But now due
to thetechnological advancements and progress in new magnetic material, they are widely used in traction,
automobiles, robotics and aerospace technology, electrical vehicles and ship propulsion systems.
In PMSM, magnetic field of rotor is created by one permanent magnet.Since, external torque can be controlled
by tuning stators current, PMSM Motors are used widely. The most harmful outcome in any electrical machine
is the fault or damage in their constitutive components. So it seems responsible for early detection of the
faults,whereby the system reliability can be improved without expensive maintenance and reparations.Therefore
fault detection and fault determining is very important. It gives us an idea to change the control strategy in
presence of fault.
Some survey has been conducted, such as; in, a negative sequence analysis coupled with a fuzzy logic
based approach has been used for fault diagnosis of a PMSM. In a fault model has been proposed for inter-turn
fault of stator winding in a PMSM. And according to the fault model, a series of algorithms have been proposed
for fault detection and diagnosis. In a Permanent Magnet AC drive and machine has been tested and the most
critical areas have been analyzed for reliability, also, steady-state techniques like Motor Current Signatures
Analysis (MCSA)as a new transient technique have been applied. This is a combination of the MCSA, the
Discrete Wavelet Transformation and statistics, to the detection of inter-turn faults in a Doubly-Fed Induction
Generator (DFIG).
This project focuses on inter-turn fault of winding. MCSA has been proposed. Motor Current Signature
Analysis works based on frequency analysis and to determine percentage of this fault second harmonic of Xq has
been utilized.
II. II. MOTOR CURRENT SIGNATURE ANALYSIS APPROACH (MCSA)
MCSA method uses signal processing algorithms (such as: FFT, wavelet and etc.) for analyzing the
current waveform of motor.In coincidence Current and voltage components and power signals can also be used.
Improving the Reliability in PMSM for Wind Turbine
56
Fig.1 MCSA block diagram.
Frequency analysis of stator current components (Xq,Xd), torque and speed in PMSM shows that
sensibility of motor speed, Xqand Xd signals to second harmonic is more than the other signals. using these
signals for frequency analysis and comparing their values can detect the fault outbreak.But this approach
ishighly complicated. Simulation results on Xq and Xd and motor speed shows that second harmonic of Xq is
more sensitive in fault detection is also more powerful and faster than other signals.
Motor current signature analysis (MCSA) is a system used for analyzing or trending dynamic, energized
systems. Proper analysis of MCSA results assists the technician in identifying:
1. Incoming winding health.
2. Stator winding health.
3. Rotor Health.
4. Air gap static and dynamic eccentricity
5. Coupling health, including direct, belted
and geared Systems.
6. Load issues.
7. System load and efficiency.
8. Bearing health.
III. III. WIND TURBINE
Wind turbines convert wind energy to electricity for distribution. The result of over a millennium of
windmill development and modern engineering, today's wind turbines are manufactured in a wide range of
vertical and horizontal axis types. The smallest turbines are used for applications such as battery charging or
auxiliary power on boats; while large grid-connected arrays of turbines are becoming an increasingly important
source of wind power produced commercial electricity. The wind turbine which we are classified into two types
they are,
1. Fixed Speed
The most significant characters of fixed speed wind turbine is
 Efficiency is more at a particular speed that will result in optimum tip speed ratio.
 Suitable for high wind speed.
 Induction Generator is used.
2. Variable Speed
The characteristic of variable speed wind turbine is ,
 Optimum tip speed ratio in a certain range of wind speed.
 Change rotor speed with wind speed.
 Higher Energy Capture.
 Suitable for Low wind speed.
 Requires Power effect interface.
 Either Induction Generator or Synchronous Machines.
Improving the Reliability in PMSM for Wind Turbine
57
3. Types of wind energy generators
The types of generators used in wind turbine are classified into three types,
i. Constant speed with gear box.
ii. Variable speed with gear box.
iii. Variable speed without gear box.
a) Constant speed with gear box
The constant speed with gear box uses
 Field wound Synchronous generator
Induction generators.
b) Variable speed with gear box
The variable speed with gear box uses
 Field wound Synchronous generator
 Permanent magnet synchronous generator
 Doubly fed induction generator
c) Variable speed without gear box (direct driven)
The variable speed without gear boxes uses
 PMSM
 Axial flux machines.
4. Causes of Faults In Wind Turbine
The main causes of stator winding faults in wind turine are mentioned below,
1) Due to high difference in voltage potential tends to make this fault accelerate very quickly.
2) Inter turn insulation suffer from transient over voltage during motor star up.
3) Loose bracing for the end winding.
4) Due to short circuit and electrical discharges.
5) Aggressive environmental weaken the insulation (i.e. contamination, moisture, chemical and high
temperature.
IV. LV.SIMULATION CIRCUIT
The simulation circuit for the fault diagnosis is show in the below diagram. The circuit consists of two
models. The first circuit represent the PMSM without fault and the second circuit represents the PMSM with
fault.
Fig.2 Simulink Model for PMSM without fault.
Improving the Reliability in PMSM for Wind Turbine
58
Fig.3 Simulink Model for PMSM with fault.
The PMSM machine model is connected to an invetor, the invertor is then connected with an 3phase to
2phase transformer. From the transformer the connection is made to the machine measurement demux. The
scope is connected to the transformer for voltage measurement and to the machine measurement Demuxfor
torque measurement without fault condition.
For the fault circuit, the scope is connected to the transformer for voltage measurement and to the machine
measurement demux for measuring the current with the fault.
Fig.4 Stator Current Switch.
The stator current switch is used for creating a short circuit in the winding. When this switch is turned
on, a short circuit is created in the circuit which affects the winding. With the use of the stator current switch the
fault in the winding is analyzed.
V. SIMULATION RESULTS
The analyses were made up of the procedure and efficiency has been calculated by using MATLAB.
The model shown in Fig 2 and 3 was simulated using SIMULINK and MATLAB. The plots obtained in the
different scopes have been shown below. The simulation was first run with the normal condition with the stator
current switch in off mode.
Fig.5 voltage waveform without fault
Improving the Reliability in PMSM for Wind Turbine
59
Fig.6 Torque waveform without fault
Fig 5 and 6 shows the voltage and torque characteristics of PMSM without fault. It was seen that
without fault the voltage and torque increase with respect to the speed of the PMSM. They varies with respect to
time. Rise and falls in the curve is due to the variation of speed and current.
Fig.7 voltage waveform with fault
Fig.8 current waveform with fault
Fig 7 and 8 shows the voltage and current characteristics of PMSM with fault. It was seen that with
fault the voltage decrease and move to the negative region and current in the winding becomes zero. Due to this
the speed of the motor decrease and the whole system becomes unbalance. The variation in the voltage and
current can be seen in the fig 7 and 8.
VI. VL. FABRICATION
The fabrication of inter-stator fault diagnosis can be done with the help of simulation. The block diagram of the
model used for fault diagnosis in PMSM is shown in fig 9.
Improving the Reliability in PMSM for Wind Turbine
60
Fig. 9 Block diagram of fault detection
The design procedure used for detection of the fault in PMSM for wind turbine can be explained
clearly by the block diagram shown below. The primary steps involved in the fault diagnosis are based on the
block diagram.
The block diagram consists of the following components:
1. Winding current control section,
2. PMSM winding
3. Fault detection circuit
4. Power supply
5. Power and Current analyzer
6. Micro controller
7. Torque and speed measurement
8. 2x16 LCD display
The winding current control section helps in identifying the current in the winding. The fault detection circuit
helps in detecting the faults in the circuit. The use of power and current analyzer is to monitor the power and
current with respect to time.The power supply helps in supply of the power to the circuit and microcontroller.
The results of the fault diagnosis can be seen in the LCD display unit
There are a number of steps that can be used for analysis using MCSA. The following steps are to be followed
while caring out the fault detection in PMSM
 Map out an review of the system being analyzed
 Determine the complaints related to the system. For instance, is the reason for analysis due to improper
operation of the equipment, etc and is there other data that can be used in an analysis
 Taking the data for analysis
 Review the10 second snap short current to view the operation over that time period
 Review high frequency demodulated current and voltage in order to determine other faults including
electrical and mechanical health.
VII. CONCLUSION
The paper proposes a simple method to diagnosis the inter-turn faults in the PMSM. In MCSA method
the frequency and its amplitude of second harmonic can be applied for fault detection. If MCSA system is
designed well, it will be capable to prepare very quick and correct diagnosis of faults for machines so that the
reliability can be improved. Accuracy of this method depends on the load of machine, noise and variation of
speed. The proposed method offers different advantages which are: good efficiency, response is high and well
control for the high load condition.
Improving the Reliability in PMSM for Wind Turbine
61
REFERENCES
[1] Wenxin Liu, Li Liu, II-Yop Chung, David A. Cartes, Wei Zhang, Modeling and detecting the stator
winding fault of permanent magnet synchronous motors. Simulation Modelling Practice and Theory,
Vol.27,pp1-16, 2012.
[2] Xiuqiao Xiang, JiangzhongZhou,Chaoshun Li, qingqing Li, ZhimengLuo,Fault diagnosis based on
Walsh transform and rough sets. Mechanical systems and Signal processing, Vol.23,pp1313-
1326,2009.
[3] Nan-Chyuan Tsai, Yueh-Hsun king, Rong-Mao Lee,Fault diagnosis for magnetic bearing systems.
Mechanical Systems and Signal Processing, Vol.23,pp1339-1351, 2009.
[4] SemihErgin, arzuUzuntas, M.BilginerGulmezoglu, Detection of stator, Bearing and Rotor Faults in
Induction Motors. Procedia Engineering, Vol.30,pp1103-1109,2012.
[5] ZhaohuiGan, Ming-Bo Zhao, Tommy W.S.Chow, Induction machine fault detection using clone
selection programming. Expert Systems With Applications, Vol.36,pp8000-8012,2009.
[6] Pedro Vicente jover Rodriguez, Antero Arkkio, Detection of stator winding fault in induction motor
using fuzzy logic. Applied soft computing, Vol.8,pp 1112-1120, 2008.
[7] Van Tung Tran, Bo-Suk Yang,Myung-Suck Oh, Andy Chit Chiow Tan, Fault diagnosis of induction
motor based on decision trees and adaptive neuro-fuzzy inference. Expert systems With Application,
Vol.36,pp 1840-1849,2009.
[8] Lane Maria RabeloBaccarini, Benjamim Rodrigues de Menezes,Walmir Matos Caminhas, Fault
induction dynamic model, suitable for computer simulation: Simulation results and experimental
validation.Mechanical Systems and Signal Processing, Vol.24,pp 300-311,2010.
[9] MaciejOrman, Michal Orkisz, cajetan T. Pinto, Parameter identification and slip estimation of
induction machine. Mechanical Systems and signal Processing, Vol.25,pp 1408-1416, 2011.
[10] Liu, LiweiGuo, Quxiangwang, Guoqing An, Ming Guo, HaoLian,Application to induction motor faults
diagnosis of the amplitude Recovery method combined with FFT. Mechanical Systems and Signal
Processing, Vol.24, pp2961-2971, 2010,

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International Journal of Engineering Research and Development (IJERD)

  • 1. International Journal of Engineering Research and Development e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com Volume 6, Issue 11 (April 2013), PP. 55-61 55 Improving the Reliability in PMSM for Wind Turbine V.P.Prawyn Jeba1 , Dr.S.Rajakumar2 1 Department of Energy Engineering , Regional Centre , Anna University Tirunelveli Region , Tirunelveli – 07. 2 Assistant Professor , Department of Energy Engineering, Regional Centre , Anna University Tirunelveli Region , Tirunelveli – 07. Abstract:- The wind turbine converts the wind energy into electrical energy, wherein the electrical machines are coupled with wind turbines for this conversion. The electrical machines are liable to meet with faults, but to regain the system reliability the faults should be detected earlier. According to studies of electrical power research institute (EPRI) most of the faults in electrical motors are created in bushes (41%) and winding (37%).Since there is increased probability of winding fault in motors, its fault diagnosis is very important. The fault often occurs with winding isolators. Inter-turn winding fault creates short circuit in phase winding and changes the phase impedance thereby the machine becomes unbalanced. Rate of impedance reduction depends on the intensity of the fault. To diagnosis winding fault approaches based on frequency analysis are studied, MCSA is used to determine the fault in the stator winding. Keywords:- Fault detection, MCSA , Permanent Magnet Synchronous Motors (PMSM) , Winding fault. I. INTRODUCTION Permanent Magnet Synchronous Motors (PMSM) are the most important electrical machines used nowadays. The advantages of PMSMs are high power density and easy control of external torque by stator’s current control. The use of these machines was limited earlier due to their high manufacturing cost. But now due to thetechnological advancements and progress in new magnetic material, they are widely used in traction, automobiles, robotics and aerospace technology, electrical vehicles and ship propulsion systems. In PMSM, magnetic field of rotor is created by one permanent magnet.Since, external torque can be controlled by tuning stators current, PMSM Motors are used widely. The most harmful outcome in any electrical machine is the fault or damage in their constitutive components. So it seems responsible for early detection of the faults,whereby the system reliability can be improved without expensive maintenance and reparations.Therefore fault detection and fault determining is very important. It gives us an idea to change the control strategy in presence of fault. Some survey has been conducted, such as; in, a negative sequence analysis coupled with a fuzzy logic based approach has been used for fault diagnosis of a PMSM. In a fault model has been proposed for inter-turn fault of stator winding in a PMSM. And according to the fault model, a series of algorithms have been proposed for fault detection and diagnosis. In a Permanent Magnet AC drive and machine has been tested and the most critical areas have been analyzed for reliability, also, steady-state techniques like Motor Current Signatures Analysis (MCSA)as a new transient technique have been applied. This is a combination of the MCSA, the Discrete Wavelet Transformation and statistics, to the detection of inter-turn faults in a Doubly-Fed Induction Generator (DFIG). This project focuses on inter-turn fault of winding. MCSA has been proposed. Motor Current Signature Analysis works based on frequency analysis and to determine percentage of this fault second harmonic of Xq has been utilized. II. II. MOTOR CURRENT SIGNATURE ANALYSIS APPROACH (MCSA) MCSA method uses signal processing algorithms (such as: FFT, wavelet and etc.) for analyzing the current waveform of motor.In coincidence Current and voltage components and power signals can also be used.
  • 2. Improving the Reliability in PMSM for Wind Turbine 56 Fig.1 MCSA block diagram. Frequency analysis of stator current components (Xq,Xd), torque and speed in PMSM shows that sensibility of motor speed, Xqand Xd signals to second harmonic is more than the other signals. using these signals for frequency analysis and comparing their values can detect the fault outbreak.But this approach ishighly complicated. Simulation results on Xq and Xd and motor speed shows that second harmonic of Xq is more sensitive in fault detection is also more powerful and faster than other signals. Motor current signature analysis (MCSA) is a system used for analyzing or trending dynamic, energized systems. Proper analysis of MCSA results assists the technician in identifying: 1. Incoming winding health. 2. Stator winding health. 3. Rotor Health. 4. Air gap static and dynamic eccentricity 5. Coupling health, including direct, belted and geared Systems. 6. Load issues. 7. System load and efficiency. 8. Bearing health. III. III. WIND TURBINE Wind turbines convert wind energy to electricity for distribution. The result of over a millennium of windmill development and modern engineering, today's wind turbines are manufactured in a wide range of vertical and horizontal axis types. The smallest turbines are used for applications such as battery charging or auxiliary power on boats; while large grid-connected arrays of turbines are becoming an increasingly important source of wind power produced commercial electricity. The wind turbine which we are classified into two types they are, 1. Fixed Speed The most significant characters of fixed speed wind turbine is  Efficiency is more at a particular speed that will result in optimum tip speed ratio.  Suitable for high wind speed.  Induction Generator is used. 2. Variable Speed The characteristic of variable speed wind turbine is ,  Optimum tip speed ratio in a certain range of wind speed.  Change rotor speed with wind speed.  Higher Energy Capture.  Suitable for Low wind speed.  Requires Power effect interface.  Either Induction Generator or Synchronous Machines.
  • 3. Improving the Reliability in PMSM for Wind Turbine 57 3. Types of wind energy generators The types of generators used in wind turbine are classified into three types, i. Constant speed with gear box. ii. Variable speed with gear box. iii. Variable speed without gear box. a) Constant speed with gear box The constant speed with gear box uses  Field wound Synchronous generator Induction generators. b) Variable speed with gear box The variable speed with gear box uses  Field wound Synchronous generator  Permanent magnet synchronous generator  Doubly fed induction generator c) Variable speed without gear box (direct driven) The variable speed without gear boxes uses  PMSM  Axial flux machines. 4. Causes of Faults In Wind Turbine The main causes of stator winding faults in wind turine are mentioned below, 1) Due to high difference in voltage potential tends to make this fault accelerate very quickly. 2) Inter turn insulation suffer from transient over voltage during motor star up. 3) Loose bracing for the end winding. 4) Due to short circuit and electrical discharges. 5) Aggressive environmental weaken the insulation (i.e. contamination, moisture, chemical and high temperature. IV. LV.SIMULATION CIRCUIT The simulation circuit for the fault diagnosis is show in the below diagram. The circuit consists of two models. The first circuit represent the PMSM without fault and the second circuit represents the PMSM with fault. Fig.2 Simulink Model for PMSM without fault.
  • 4. Improving the Reliability in PMSM for Wind Turbine 58 Fig.3 Simulink Model for PMSM with fault. The PMSM machine model is connected to an invetor, the invertor is then connected with an 3phase to 2phase transformer. From the transformer the connection is made to the machine measurement demux. The scope is connected to the transformer for voltage measurement and to the machine measurement Demuxfor torque measurement without fault condition. For the fault circuit, the scope is connected to the transformer for voltage measurement and to the machine measurement demux for measuring the current with the fault. Fig.4 Stator Current Switch. The stator current switch is used for creating a short circuit in the winding. When this switch is turned on, a short circuit is created in the circuit which affects the winding. With the use of the stator current switch the fault in the winding is analyzed. V. SIMULATION RESULTS The analyses were made up of the procedure and efficiency has been calculated by using MATLAB. The model shown in Fig 2 and 3 was simulated using SIMULINK and MATLAB. The plots obtained in the different scopes have been shown below. The simulation was first run with the normal condition with the stator current switch in off mode. Fig.5 voltage waveform without fault
  • 5. Improving the Reliability in PMSM for Wind Turbine 59 Fig.6 Torque waveform without fault Fig 5 and 6 shows the voltage and torque characteristics of PMSM without fault. It was seen that without fault the voltage and torque increase with respect to the speed of the PMSM. They varies with respect to time. Rise and falls in the curve is due to the variation of speed and current. Fig.7 voltage waveform with fault Fig.8 current waveform with fault Fig 7 and 8 shows the voltage and current characteristics of PMSM with fault. It was seen that with fault the voltage decrease and move to the negative region and current in the winding becomes zero. Due to this the speed of the motor decrease and the whole system becomes unbalance. The variation in the voltage and current can be seen in the fig 7 and 8. VI. VL. FABRICATION The fabrication of inter-stator fault diagnosis can be done with the help of simulation. The block diagram of the model used for fault diagnosis in PMSM is shown in fig 9.
  • 6. Improving the Reliability in PMSM for Wind Turbine 60 Fig. 9 Block diagram of fault detection The design procedure used for detection of the fault in PMSM for wind turbine can be explained clearly by the block diagram shown below. The primary steps involved in the fault diagnosis are based on the block diagram. The block diagram consists of the following components: 1. Winding current control section, 2. PMSM winding 3. Fault detection circuit 4. Power supply 5. Power and Current analyzer 6. Micro controller 7. Torque and speed measurement 8. 2x16 LCD display The winding current control section helps in identifying the current in the winding. The fault detection circuit helps in detecting the faults in the circuit. The use of power and current analyzer is to monitor the power and current with respect to time.The power supply helps in supply of the power to the circuit and microcontroller. The results of the fault diagnosis can be seen in the LCD display unit There are a number of steps that can be used for analysis using MCSA. The following steps are to be followed while caring out the fault detection in PMSM  Map out an review of the system being analyzed  Determine the complaints related to the system. For instance, is the reason for analysis due to improper operation of the equipment, etc and is there other data that can be used in an analysis  Taking the data for analysis  Review the10 second snap short current to view the operation over that time period  Review high frequency demodulated current and voltage in order to determine other faults including electrical and mechanical health. VII. CONCLUSION The paper proposes a simple method to diagnosis the inter-turn faults in the PMSM. In MCSA method the frequency and its amplitude of second harmonic can be applied for fault detection. If MCSA system is designed well, it will be capable to prepare very quick and correct diagnosis of faults for machines so that the reliability can be improved. Accuracy of this method depends on the load of machine, noise and variation of speed. The proposed method offers different advantages which are: good efficiency, response is high and well control for the high load condition.
  • 7. Improving the Reliability in PMSM for Wind Turbine 61 REFERENCES [1] Wenxin Liu, Li Liu, II-Yop Chung, David A. Cartes, Wei Zhang, Modeling and detecting the stator winding fault of permanent magnet synchronous motors. Simulation Modelling Practice and Theory, Vol.27,pp1-16, 2012. [2] Xiuqiao Xiang, JiangzhongZhou,Chaoshun Li, qingqing Li, ZhimengLuo,Fault diagnosis based on Walsh transform and rough sets. Mechanical systems and Signal processing, Vol.23,pp1313- 1326,2009. [3] Nan-Chyuan Tsai, Yueh-Hsun king, Rong-Mao Lee,Fault diagnosis for magnetic bearing systems. Mechanical Systems and Signal Processing, Vol.23,pp1339-1351, 2009. [4] SemihErgin, arzuUzuntas, M.BilginerGulmezoglu, Detection of stator, Bearing and Rotor Faults in Induction Motors. Procedia Engineering, Vol.30,pp1103-1109,2012. [5] ZhaohuiGan, Ming-Bo Zhao, Tommy W.S.Chow, Induction machine fault detection using clone selection programming. Expert Systems With Applications, Vol.36,pp8000-8012,2009. [6] Pedro Vicente jover Rodriguez, Antero Arkkio, Detection of stator winding fault in induction motor using fuzzy logic. Applied soft computing, Vol.8,pp 1112-1120, 2008. [7] Van Tung Tran, Bo-Suk Yang,Myung-Suck Oh, Andy Chit Chiow Tan, Fault diagnosis of induction motor based on decision trees and adaptive neuro-fuzzy inference. Expert systems With Application, Vol.36,pp 1840-1849,2009. [8] Lane Maria RabeloBaccarini, Benjamim Rodrigues de Menezes,Walmir Matos Caminhas, Fault induction dynamic model, suitable for computer simulation: Simulation results and experimental validation.Mechanical Systems and Signal Processing, Vol.24,pp 300-311,2010. [9] MaciejOrman, Michal Orkisz, cajetan T. Pinto, Parameter identification and slip estimation of induction machine. Mechanical Systems and signal Processing, Vol.25,pp 1408-1416, 2011. [10] Liu, LiweiGuo, Quxiangwang, Guoqing An, Ming Guo, HaoLian,Application to induction motor faults diagnosis of the amplitude Recovery method combined with FFT. Mechanical Systems and Signal Processing, Vol.24, pp2961-2971, 2010,