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ONLINE INVERTER FAULT DIAGNOSIS OF BUCK-CONVERTER BLDC MOTOR
COMBINATIONS
By
A
PROJECT REPORT
Submitted to the Department of electronics & communication Engineering in the
FACULTY OF ENGINEERING & TECHNOLOGY
In partial fulfillment of the requirements for the award of the degree
Of
MASTER OF TECHNOLOGY
IN
ELECTRONICS & COMMUNICATION ENGINEERING
APRIL 2016
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CERTIFICATE
Certified that this project report titled “ONLINE INVERTER FAULT DIAGNOSIS OF
BUCK-CONVERTER BLDC MOTOR COMBINATIONS” is the bonafide work of Mr.
_____________Who carried out the research under my supervision Certified further, that to the
best of my knowledge the work reported herein does not form part of any other project report or
dissertation on the basis of which a degree or award was conferred on an earlier occasion on this
or any other candidate.
Signature of the Guide Signature of the H.O.D
Name Name
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DECLARATION
I hereby declare that the project work entitled “ONLINE INVERTER FAULT DIAGNOSIS
OF BUCK-CONVERTER BLDC MOTOR COMBINATIONS” Submitted to
BHARATHIDASAN UNIVERSITY in partial fulfillment of the requirement for the award of the
Degree of MASTER OF APPLIED ELECTRONICS is a record of original work done by me the
guidance of Prof.A.Vinayagam M.Sc., M.Phil., M.E., to the best of my knowledge, the work
reported here is not a part of any other thesis or work on the basis of which a degree or award
was conferred on an earlier occasion to me or any other candidate.
(Student Name)
(Reg.No)
Place:
Date:
ACKNOWLEDGEMENT
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I am extremely glad to present my project “ONLINE INVERTER FAULT DIAGNOSIS OF
BUCK-CONVERTER BLDC MOTOR COMBINATIONS” which is a part of my curriculum
of third semester Master of Science in Computer science. I take this opportunity to express my
sincere gratitude to those who helped me in bringing out this project work.
I would like to express my Director, Dr. K. ANANDAN, M.A.(Eco.), M.Ed., M.Phil.,(Edn.),
PGDCA., CGT., M.A.(Psy.) of who had given me an opportunity to undertake this project.
I am highly indebted to Co-Ordinator Prof. Muniappan Department of Physics and thank from
my deep heart for her valuable comments I received through my project.
I wish to express my deep sense of gratitude to my guide
Prof. A.Vinayagam M.Sc., M.Phil., M.E., for her immense help and encouragement for
successful completion of this project.
I also express my sincere thanks to the all the staff members of Computer science for their kind
advice.
And last, but not the least, I express my deep gratitude to my parents and friends for their
encouragement and support throughout the project.
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ABSTRACT:
Brushless dc (BLDC) motors are commonly used in space application for its simplicity
and high reliability. The faulttolerant control (FTC) of the motor is important for its continuous
operating capacity even under the faulty situation. The fault diagnosis should be achieved in
advance in order to implement the FTC strategy. This paper proposes an online model-based
inverter fault diagnosis method for three-phase full bridge inverter with buck dc–dc converter
based on the high-speed BLDC motor with low inductance and nonideal back electromotive
force in a magnetically suspended control moment gyro. The method can detect and identify both
open-circuit and short-circuit damages of single switch in buck converter or three-phase full
bridge.Also, protective measures are proposed to isolate the fault and avoid the secondary fault.
Both simulation and experimental results are taken out to prove the validity and effectiveness of
the proposed fault diagnosis method.
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INTRODUCTION:
Magnetically suspended control moment gyro (MSCMG) is considered to be the key
actuators for the attitude control of space stations, satellites, etc. It has the character of high
precision, large moment, and long life owing to the zero friction and enhanced damping of high-
speed rotor. Since the operational environment in vacuum is harsh, high reliability and long-life
operating ability are required.
Normally, the high-speed motor in MSCMG is operating at a constant high speed to
supply angular momentum for the high-speed rotor system. The reliability of the motor drives is
one of the most important factors to guarantee the safe, continuous, and high performance
operation under even some accidents or faults.
The research mentioned that about 38% of the motor failures are found in the power
inverter and most of faults are occurred to the power switches. Generally, a fault-tolerant control
(FTC) system is composed of fault detection, identification, and remedial actions.
The fault detection and identification considered as fault diagnosis which is the basic and
important part in FTC system can detect the fault and determine the fault type and location.
thus, online fault diagnosis of the power inverter is important for MSCMG to ensure the
continuous operating ability even in the faulty state
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EXISTING SYSTEM:
The switching devices have been replaced by an ideally switched voltage source. This is
indicated by the multiplication of Ue with the switching variable u ∈ {0, 1}. An additional
resistance RL has been added to the model in order to take into account the ohmic resistence of
the coil windings. The motor has been modeled by an inductance LM with ohmic resistance RM
and electromagnetic voltage source ωKE
OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD
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ECWAY TECHNOLOGIES
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PROPOSED SYSTEM:
This paper proposes a model-based and low-cost switch fault diagnosis method for motor
inverter composed of a buck converter and a three-phase full bridge. Based on the analysis of the
faulty operating state in closed-loop control system, the residual signals of the voltage observers
and the measurements are extracted to diagnose the inverter fault. The effect of nonideal back
electromotive force (EMF) caused by practical reasons in production on the estimated voltage is
taken into account in the proposed voltage observer. The method can detect and identify both
open-circuit and short circuit faults fast and exactly with reduced hardware. The faults in buck
converter and three-phase full bridge can be distinguished in real time. Meanwhile, protection
measures are carried out to prevent the system from secondary fault.
OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD
CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111
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ECWAY TECHNOLOGIES
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ADVANTAGES:
OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD
CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111
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ECWAY TECHNOLOGIES
IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT
BLOCK DIAGRAM:
OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD
CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111
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TOOLS AND SOFTWARE USED:
 MPLAB – microcontroller programming.
 ORCAD – circuit layout.
 MATLAB/Simulink – Simulation
OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD
CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111
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ECWAY TECHNOLOGIES
IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT
APPLICATIONS:
 BLDC drives
OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD
CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111
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ECWAY TECHNOLOGIES
IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT
CONCLUSION:
In this paper, a method for online inverter fault diagnosis of motor inverter composed of a
buck converter and a threephase full bridge is proposed. The voltage observers based on the
system model of buck converter and three-phase full bridge are developed to estimate the buck
converter output voltage and motor input voltage, respectively. Thus, the residual voltage errors
can be calculated to detect the fault type. Also, the corresponding fault features are extracted to
identify the faulty switch. The open-circuit fault and short-circuit fault in both buck converter
and three-phase full bridge can be diagnosed rapidly and effectively by the proposed method.
Simulated and experimental results verify the validity of the proposed fault diagnosis method.
OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD
CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111
Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com
ECWAY TECHNOLOGIES
IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT
REFERENCES:
[1] J. Fang and Y. Ren, “High-precision control for a single-gimbal magnetically suspended
control moment gyro based on inverse system method,” IEEE Trans. Ind. Electron., vol. 58, no.
9, pp. 4331–4342, Sep. 2011.
[2] S. Zheng and B. Han, “Investigations of an integrated angular velocity measurement and
attitude control system for spacecraft using magnetically suspended double-gimbal CMGs,” Adv.
Space Res., vol. 51, pp. 2216– 2228, 2013.
[3] S. Jung, J. Park, H. Kim, K. Cho, and M. Youn, “An MRAS-based diagnosis of open-circuit
fault in PWM voltage-source inverters for PM synchronous motor drive systems,” IEEE Trans.
Power Electron., vol. 28, no. 5, pp. 2514–2526, May 2013.
[4] J. Fang, W. Li, and H. Li, “Self-compensation of the commutation angle based on dc-link
current for high-speed brushless DC motors with low inductance,” IEEE Trans. Power Electron.,
vol. 29, no. 1, pp. 428–439, Jan. 2014.
[5] R. Ravaud, G. Lemarquand, and V. Lemarquand, “Ironless permanent magnet motors: Three-
dimensional analytical calculation,” in Proc. IEEE Int. Elect. Mach. Drives Conf., May 2009, pp.
947–952.

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Online inverter fault diagnosis of buck converter bldc motor combinations

  • 1. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT ONLINE INVERTER FAULT DIAGNOSIS OF BUCK-CONVERTER BLDC MOTOR COMBINATIONS By A PROJECT REPORT Submitted to the Department of electronics & communication Engineering in the FACULTY OF ENGINEERING & TECHNOLOGY In partial fulfillment of the requirements for the award of the degree Of MASTER OF TECHNOLOGY IN ELECTRONICS & COMMUNICATION ENGINEERING APRIL 2016
  • 2. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT CERTIFICATE Certified that this project report titled “ONLINE INVERTER FAULT DIAGNOSIS OF BUCK-CONVERTER BLDC MOTOR COMBINATIONS” is the bonafide work of Mr. _____________Who carried out the research under my supervision Certified further, that to the best of my knowledge the work reported herein does not form part of any other project report or dissertation on the basis of which a degree or award was conferred on an earlier occasion on this or any other candidate. Signature of the Guide Signature of the H.O.D Name Name
  • 3. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT DECLARATION I hereby declare that the project work entitled “ONLINE INVERTER FAULT DIAGNOSIS OF BUCK-CONVERTER BLDC MOTOR COMBINATIONS” Submitted to BHARATHIDASAN UNIVERSITY in partial fulfillment of the requirement for the award of the Degree of MASTER OF APPLIED ELECTRONICS is a record of original work done by me the guidance of Prof.A.Vinayagam M.Sc., M.Phil., M.E., to the best of my knowledge, the work reported here is not a part of any other thesis or work on the basis of which a degree or award was conferred on an earlier occasion to me or any other candidate. (Student Name) (Reg.No) Place: Date: ACKNOWLEDGEMENT
  • 4. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT I am extremely glad to present my project “ONLINE INVERTER FAULT DIAGNOSIS OF BUCK-CONVERTER BLDC MOTOR COMBINATIONS” which is a part of my curriculum of third semester Master of Science in Computer science. I take this opportunity to express my sincere gratitude to those who helped me in bringing out this project work. I would like to express my Director, Dr. K. ANANDAN, M.A.(Eco.), M.Ed., M.Phil.,(Edn.), PGDCA., CGT., M.A.(Psy.) of who had given me an opportunity to undertake this project. I am highly indebted to Co-Ordinator Prof. Muniappan Department of Physics and thank from my deep heart for her valuable comments I received through my project. I wish to express my deep sense of gratitude to my guide Prof. A.Vinayagam M.Sc., M.Phil., M.E., for her immense help and encouragement for successful completion of this project. I also express my sincere thanks to the all the staff members of Computer science for their kind advice. And last, but not the least, I express my deep gratitude to my parents and friends for their encouragement and support throughout the project.
  • 5. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT ABSTRACT: Brushless dc (BLDC) motors are commonly used in space application for its simplicity and high reliability. The faulttolerant control (FTC) of the motor is important for its continuous operating capacity even under the faulty situation. The fault diagnosis should be achieved in advance in order to implement the FTC strategy. This paper proposes an online model-based inverter fault diagnosis method for three-phase full bridge inverter with buck dc–dc converter based on the high-speed BLDC motor with low inductance and nonideal back electromotive force in a magnetically suspended control moment gyro. The method can detect and identify both open-circuit and short-circuit damages of single switch in buck converter or three-phase full bridge.Also, protective measures are proposed to isolate the fault and avoid the secondary fault. Both simulation and experimental results are taken out to prove the validity and effectiveness of the proposed fault diagnosis method.
  • 6. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT INTRODUCTION: Magnetically suspended control moment gyro (MSCMG) is considered to be the key actuators for the attitude control of space stations, satellites, etc. It has the character of high precision, large moment, and long life owing to the zero friction and enhanced damping of high- speed rotor. Since the operational environment in vacuum is harsh, high reliability and long-life operating ability are required. Normally, the high-speed motor in MSCMG is operating at a constant high speed to supply angular momentum for the high-speed rotor system. The reliability of the motor drives is one of the most important factors to guarantee the safe, continuous, and high performance operation under even some accidents or faults. The research mentioned that about 38% of the motor failures are found in the power inverter and most of faults are occurred to the power switches. Generally, a fault-tolerant control (FTC) system is composed of fault detection, identification, and remedial actions. The fault detection and identification considered as fault diagnosis which is the basic and important part in FTC system can detect the fault and determine the fault type and location. thus, online fault diagnosis of the power inverter is important for MSCMG to ensure the continuous operating ability even in the faulty state
  • 7. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT EXISTING SYSTEM: The switching devices have been replaced by an ideally switched voltage source. This is indicated by the multiplication of Ue with the switching variable u ∈ {0, 1}. An additional resistance RL has been added to the model in order to take into account the ohmic resistence of the coil windings. The motor has been modeled by an inductance LM with ohmic resistance RM and electromagnetic voltage source ωKE
  • 8. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT PROPOSED SYSTEM: This paper proposes a model-based and low-cost switch fault diagnosis method for motor inverter composed of a buck converter and a three-phase full bridge. Based on the analysis of the faulty operating state in closed-loop control system, the residual signals of the voltage observers and the measurements are extracted to diagnose the inverter fault. The effect of nonideal back electromotive force (EMF) caused by practical reasons in production on the estimated voltage is taken into account in the proposed voltage observer. The method can detect and identify both open-circuit and short circuit faults fast and exactly with reduced hardware. The faults in buck converter and three-phase full bridge can be distinguished in real time. Meanwhile, protection measures are carried out to prevent the system from secondary fault.
  • 9. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT ADVANTAGES:
  • 10. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT BLOCK DIAGRAM:
  • 11. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT TOOLS AND SOFTWARE USED:  MPLAB – microcontroller programming.  ORCAD – circuit layout.  MATLAB/Simulink – Simulation
  • 12. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT APPLICATIONS:  BLDC drives
  • 13. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT CONCLUSION: In this paper, a method for online inverter fault diagnosis of motor inverter composed of a buck converter and a threephase full bridge is proposed. The voltage observers based on the system model of buck converter and three-phase full bridge are developed to estimate the buck converter output voltage and motor input voltage, respectively. Thus, the residual voltage errors can be calculated to detect the fault type. Also, the corresponding fault features are extracted to identify the faulty switch. The open-circuit fault and short-circuit fault in both buck converter and three-phase full bridge can be diagnosed rapidly and effectively by the proposed method. Simulated and experimental results verify the validity of the proposed fault diagnosis method.
  • 14. OUR OFFICES @CHENNAI/ TRICHY/ KARUR / ERODE / MADURAI / SALEM / COIMBATORE / BANGALORE / HYDRABAD CELL: 9894917187 | 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 Visit: www.ecwaytechnologies.com | www.ecwayp rojects.com Mail to: ecwaytechnologies@gmail.com ECWAY TECHNOLOGIES IEEE SOFTWARE | EMBEDDED | MECHANICAL | ROBOTICS PROJECTS DEVELOPMENT REFERENCES: [1] J. Fang and Y. Ren, “High-precision control for a single-gimbal magnetically suspended control moment gyro based on inverse system method,” IEEE Trans. Ind. Electron., vol. 58, no. 9, pp. 4331–4342, Sep. 2011. [2] S. Zheng and B. Han, “Investigations of an integrated angular velocity measurement and attitude control system for spacecraft using magnetically suspended double-gimbal CMGs,” Adv. Space Res., vol. 51, pp. 2216– 2228, 2013. [3] S. Jung, J. Park, H. Kim, K. Cho, and M. Youn, “An MRAS-based diagnosis of open-circuit fault in PWM voltage-source inverters for PM synchronous motor drive systems,” IEEE Trans. Power Electron., vol. 28, no. 5, pp. 2514–2526, May 2013. [4] J. Fang, W. Li, and H. Li, “Self-compensation of the commutation angle based on dc-link current for high-speed brushless DC motors with low inductance,” IEEE Trans. Power Electron., vol. 29, no. 1, pp. 428–439, Jan. 2014. [5] R. Ravaud, G. Lemarquand, and V. Lemarquand, “Ironless permanent magnet motors: Three- dimensional analytical calculation,” in Proc. IEEE Int. Elect. Mach. Drives Conf., May 2009, pp. 947–952.