SlideShare a Scribd company logo
1. Test, diagnosis and reliability for Electronics, Renewable energy systems and Smart-grid
Component
failures
Related deliverables:
[1] Z. Cen. Condition Parameter Estimation for Buck Converter based on
Model Observer. IEEE Transactions on Industrial Electronics. 2015. (in
revision)
[2]Z. Cen, Abdelkader Bousselham. Fault diagnosis for Photo-Voltaic
Power Converter based on Model Observers. The International
Conference on Advances in Computing, Communication and Information
Technology -CCIT 2014, London, UK, June 2014. (Best Paper Award)
[3]Y. Cao, Z. Cen and J. Wei, "FDSAC-SPICE: Fault diagnosis software for
analog circuit based on SPICE simulation," in International Conference on
Space Information Technology 2009.
Registered Software:
Wei Jiaolong, Cen Zhaohui, JIang rui, Fault simulation software for
aircraft attitude control system. (Registered No: 2010SR004895).
Zhaohui Cen2015/3/18 1
Fig. 1-1 faulty electronic components and typical failures
Fig. 1-2 ATE environment hardware for eletronics test and
diagnosis
Fig. 1-3 “Fault doctor” software operation panel
Fig. 1-4 Diagnosis reasoning-logic procedure Fig. 1-5 Fault-tree analysis
Fig. 1-6 self-diagnosis and condition parameter estimation for power
electronics devices
Fig. 1-7 experiment platform for power electronics based on NI compact
RIO and labview
2. Fault prognosis and recovery for Aerocrafts and Unmanned Aerial Vehicles
Fig.2-4 diagram of Satellite Attitude Control system
Disturbance
Controller
Reaction
Wheel
Attitude
Dynamics Model
Attitude
Determine
Model
Attitude
Sensors
Model
Attitude Motion
Model
- +
Refer
Attitude
Fault
inu outu
Selected deliverables:
[1] Z.Cen, H.Noura, T.Bagus, Al Younes. Robust Fault Diagnosis for Quadrotor
UAVs Using Adaptive Thau Observer*J+ , Journal of Intelligent & Robotic Systems,
January 2014, Volume 73, Issue 1-4, pp 573-588.
[2] Z. Cen, J. Wei and R. Jiang, A Grey-Box Neural Network based Model
Identification and Fault Estimation Scheme for Nonlinear Dynamic Systems*J+,
International journal of neural system. 23(6), 2013, 1350025. (Currently IF=6.056
and a rank of 3 out of 114 in the Computer Science and Artificial Intelligence
category).
[3] J. Wei, Z. Cen and R. Jiang. A sensor fault-tolerant observer for satellite attitude
control*J+. Journal of System Engineering and Electronics. 2012. Vol. 23, No. 1,
February 2012, pp.99–107.
Patents:
[1]Wei Jiaolong, Cen Zhaohui, JIang rui, Fault tolerant observing method of
sensor for satellite attitude control system. (Authorized No: ZL200910060816.2).
[2]Wei Jiaolong, Cen Zhaohui, JIang rui, Blind system fault detection and isolation
method for real-time signal processing of spacecraft. (Authorized No:
ZL200910272265.6).
Zhaohui Cen2015/3/18 2
Fig. 2-1 FDD methods utilized in my research
Fig. 2-2 Studied satellite prototype
Fig. 2-3 Hardware-in-Loop Simulation Environment
Fig. 2-5 studied Quad-rotor UAV
Fig. 2-6 studied Hexi-rotor UAV
3. Quadrotor UAV and Thrust-Vectoring UAV aerodynamics modeling and control
z zF T
y yF T
x xF T
a
e
r
Ty
Tz
T
F
,n p
,m q
,l r
6DOFNonlinearaircraft
Controlallocation
Fastdynamics(innerloop)
Fastloopcontroller
Slowdynamics(outerloop)
Slowerloopcontroller
slowerdynamics
(outererloop)
Slowerloopcontroller
Navigationdynamics
(outerestloop)
Navigationloopcontroller
+
+
+
+
+
+
+
+
+
+
+
Thrust Vector control+
V
yz
V

pqr
a
e
r
Ty
Tz
dp
dq
dr
cp
cq
cr
pq r
d
d
d
-
-
-
-
-
--
-
-
-
c
c
c
dV
d
d
cV
c
c

V
dy
dz
yz
cy
cz
-
-
cT
-200
0
200
400
600
800-40 -20 0 20
-80
-60
-40
-20
0
20
Y (m)
X (m)
Z(m)
-50
0
50
100
150
200
250 -20
0
20
-20
0
20
40
Y (m)
X (m)
Z(m)
Related deliverables:
[1] Z.Cen, H.Noura, Al Younes. Systematic Fault Tolerant Control based on
Adaptive Thau Observer Estimation for Quadrotor UAVs *J+ ,International
Journal of Applied Mathematics and Computer Science (AMCS), 2015, Vol. 25,
No. 1.
[2]Z. Cen, Tim Smith, Paul Stewart and Jill Stewart. Integrated flight/thrust
vectoring control for jet-powered unmanned aerial vehicles with ACHEON
propulsion *J+. Proceedings of the Institution of Mechanical Engineers, Part G:
Journal of Aerospace Engineering, July, 2014, DOI: 10.1177/0954410014544179.
Zhaohui Cen2015/3/18 3
Fig. 3-1 Quad-rotor UAV in hovering Fig. 3-2 Studied TV-UAV
Fig. 3-3 kinetics and dynamics of
Quad-rotors
Fig. 3-4 kinetics and dynamics of
Thrust-vectoring Fixed-wing aircrafts
Fig. 3-5 Proposed full Position Controller for TV-UAV
Fig. 3-6 Trajectory of UAVs under position control
Fig. 3-7 High-Attack-Angle control for TV-UAV
Fig. 3-8 Velocity-Vector-Roll control for TV-UAV
4. Neural Networks and its applications in modeling and fault identification
0 200 400 600 800 1000
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
t(s)
resdual
tuned SPNN
expected
GBNNM
tuned SNN
tuned RNN
tuned PNN
0 200 400 600 800 1000
-0.25
-0.2
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
0.25
t(s)
PartialLOEfaultprameter(N.m)
estimation of IESONN
estimation of ESO
real fault value
d=0.1
d=0.2
d=0.15
INDEX SNN RNN PNN SPNN
GBNN
M
expected
R2 98.84% -21.25 46.98% 97.46% 99.99% 100%
RMSE 3.95e-2 1.73 2.692e-1 5.85e-2 2.7e-3 0
Selected deliverables:
[1] Z. Cen, J. Wei and R. Jiang, A Grey-Box Neural Network based Model
Identification and Fault Estimation Scheme for Nonlinear Dynamic Systems*J+,
International journal of neural systems. 23(6), 2013, 1350025. (Currently IF=6.056
and a rank of 3 out of 114 in the Computer Science and Artificial Intelligence
category).
[2]Z. Cen, J. Wei, R. Jiang, and X. Liu. Application of Mallat wavelet fast transforms
and IDRNN in real-time fault detection and identification for satellites *J+, Journal
of University of Science and Technology Beijing,2012. 32(1), 90-95.
[3] Z. Cen, J. Wei, R. Jiang, and X. Liu, "Real time fault diagnosis of Infrared Earth
Sensor using Elman neural network," Zhendong Ceshi Yu Zhenduan/Journal of
Vibration, Measurement and Diagnosis, vol. 30, pp. 504-509, 2010.
Patents:
[1]Wei Jiaolong, Cen Zhaohui, JIang rui, Blind system fault detection and isolation
method for real-time signal processing of spacecraft. (Authorized No:
ZL200910272265.6).
Zhaohui Cen2015/3/18 4
Fig 4-1“P2P” diagnosis strategy for general systems Fig. 4-2 Various NNs as a reference for residuals
nonlinear dynamic system
1
S2 ( )f
1( )f
3 ( )f
4 ( )f1
S
1
S
1
S2NN
1NN
3NN
4NN
1
S
1
S
Grey-box NN identification
u y
Fig. 4-3 Proposed “Grey-Box” NN concept
1
S
( , )F x u
( )x t
( , )h x x
( )x t
( )fy t
NN1
1 1( , , )g x u w
NN2
2 2( , , )g x x w
actuators
1
S
ˆ( )x t
ˆ( )x t
GBNNM

+
-
ˆ( )y t
( )r t
( )u t
Improved ESO based on Neural Network
NN1
1 1( , , )g x u w
NN2
2 2( , , )g x x w
1
S
 
-
2
2
ˆ ( , , )f g e   
+
+
-
1
+
Estimation of
Fault parameter
GBNNM
Residual
Fig. 4-4 GBNNM application for fault estimation
Fig. 4-5 Fault identification results
Tab. 4-1 Modeling Comparison for Various NN and proposed GBNNM

More Related Content

PDF
Improvement of multi-channel_lo_ra_networks_based_on_distributed_joint_queueing
PDF
Outline of Machinery Fault Diagnosis Method
PDF
Sensor Fault Detection and Isolation Based on Artificial Neural Networks and ...
PDF
NEURAL NETWORKS WITH DECISION TREES FOR DIAGNOSIS ISSUES
PDF
NEURAL NETWORKS WITH DECISION TREES FOR DIAGNOSIS ISSUES
PDF
K41018186
PPTX
Automated Image Analysis Method to Quantify Neuronal Response to Intracortica...
PDF
Video-Based Hand Tracking for Screening Cervical Myelopathy (ISVC2021)
Improvement of multi-channel_lo_ra_networks_based_on_distributed_joint_queueing
Outline of Machinery Fault Diagnosis Method
Sensor Fault Detection and Isolation Based on Artificial Neural Networks and ...
NEURAL NETWORKS WITH DECISION TREES FOR DIAGNOSIS ISSUES
NEURAL NETWORKS WITH DECISION TREES FOR DIAGNOSIS ISSUES
K41018186
Automated Image Analysis Method to Quantify Neuronal Response to Intracortica...
Video-Based Hand Tracking for Screening Cervical Myelopathy (ISVC2021)

What's hot (20)

PDF
Desktop Tomography System using Planar ECT Device
PDF
A Study of Motion Detection Method for Smart Home System
PDF
Mems Based Motor Fault Detection in Windmill Using Neural Networks
PDF
Study of fiber optic sensor using concrete beams
PDF
Ca4201508513
PDF
Cutting pub subs1244 4069_al-habaibeh
PDF
IRJET- Surveillance of Object Motion Detection and Caution System using B...
PDF
Cervical Spine Range of Motion Measurement Utilizing Image Analysis - VISAPP2022
PDF
Posterv.1.2
PDF
A benchmark dataset to evaluate sensor displacement in activity recognition
PPTX
PhD Qualifying Exam Slides
PDF
Analysis of Obstacle Detection Using Ultrasonic Sensor
PDF
Handling displacement effects in on-body sensor-based activity recognition
PDF
IRJET- Moving Object Detection with Shadow Compression using Foreground Segme...
PDF
Leaf Disease Detection and Selection of Fertilizers using Artificial Neural N...
PDF
An Exploration on the Identification of Plant Leaf Diseases using Image Proce...
PDF
Meru_A_Patil
PDF
IRJET- Sugarcane Leaf Disease Detection
PPT
A Novel Approach for Tomato Diseases Classification Based on Deep Convolution...
Desktop Tomography System using Planar ECT Device
A Study of Motion Detection Method for Smart Home System
Mems Based Motor Fault Detection in Windmill Using Neural Networks
Study of fiber optic sensor using concrete beams
Ca4201508513
Cutting pub subs1244 4069_al-habaibeh
IRJET- Surveillance of Object Motion Detection and Caution System using B...
Cervical Spine Range of Motion Measurement Utilizing Image Analysis - VISAPP2022
Posterv.1.2
A benchmark dataset to evaluate sensor displacement in activity recognition
PhD Qualifying Exam Slides
Analysis of Obstacle Detection Using Ultrasonic Sensor
Handling displacement effects in on-body sensor-based activity recognition
IRJET- Moving Object Detection with Shadow Compression using Foreground Segme...
Leaf Disease Detection and Selection of Fertilizers using Artificial Neural N...
An Exploration on the Identification of Plant Leaf Diseases using Image Proce...
Meru_A_Patil
IRJET- Sugarcane Leaf Disease Detection
A Novel Approach for Tomato Diseases Classification Based on Deep Convolution...
Ad

Viewers also liked (19)

PDF
CEAP - Centro de Educação Ambiental de Parauapebas
PDF
Marcel alexandre
PDF
Serrabetume Engenharia. Construindo seu caminho.
PDF
Gerontologi_23_maj_2007_nr2
PDF
Alfonso2
PPTX
Tecnologia solar
PPTX
Derecho informatico miguel grefa
PDF
Tac manzi
PPT
2. avances del sector justicia
DOCX
Documento sem título
DOCX
Apostila sobre técnicas de estudo projeto estuda brasil
PPTX
Top 5 Reasons to Use Serv-U MFT Server
PPS
Proyectos de Inversion
DOCX
CARTA DE RECOMENDACION PEP..docx
PDF
Simbolismo celeste y simbolismo de la ascensión
PPTX
Coca cola- apresentação
PPT
ENJ-400 La Responsabilidad Patrimonial
 
PDF
Con cen 2015
CEAP - Centro de Educação Ambiental de Parauapebas
Marcel alexandre
Serrabetume Engenharia. Construindo seu caminho.
Gerontologi_23_maj_2007_nr2
Alfonso2
Tecnologia solar
Derecho informatico miguel grefa
Tac manzi
2. avances del sector justicia
Documento sem título
Apostila sobre técnicas de estudo projeto estuda brasil
Top 5 Reasons to Use Serv-U MFT Server
Proyectos de Inversion
CARTA DE RECOMENDACION PEP..docx
Simbolismo celeste y simbolismo de la ascensión
Coca cola- apresentação
ENJ-400 La Responsabilidad Patrimonial
 
Con cen 2015
Ad

Similar to Presentation by CZH (20)

PDF
Detection of Sensor Faults in Small Helicopter UAVs Using Observer/Kalman Fil...
PDF
Sensor Fault Detection in IoT System Using Machine Learning
PDF
IRJET- Flaw Detection in Wireless Sensor Network using a LDA Classifier
DOCX
http://odmt.in
PDF
Simultaneous State and Actuator Fault Estimation With Fuzzy Descriptor PMID a...
PDF
Sensors and Actuators Integration in Embedded Systems
PDF
June 2020: Top Read Articles in Control Theory and Computer Modelling
PDF
Tracy–Widom distribution based fault detection approach: Application to aircr...
PDF
Neural Network-Based Actuator Fault Diagnosis for a Non-Linear Multi-Tank System
DOCX
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 65, NO. 3, M.docx
PDF
Actuator Fault Decoupled Residual Generation on Lateral Moving Aircraft
PDF
H04544759
PDF
40220140501001
PDF
TRANSMISSION LINE HEALTH PREDICTION SYSTEM IN HVDC AND HVAC LINES
PDF
State and fault estimation based on fuzzy observer for a class of Takagi-Suge...
PDF
State and fault estimation based on fuzzy observer for a class of Takagi-Suge...
PPT
3271829.ppt
PDF
Sensor fault reconstruction for wind turbine benchmark model using a modified...
PDF
January_IJICS 2024 TOP_10_MOST_CITED_ARTICLES.pdf
PDF
Determination of Fault Location and Type in Distribution Systems using Clark ...
Detection of Sensor Faults in Small Helicopter UAVs Using Observer/Kalman Fil...
Sensor Fault Detection in IoT System Using Machine Learning
IRJET- Flaw Detection in Wireless Sensor Network using a LDA Classifier
http://odmt.in
Simultaneous State and Actuator Fault Estimation With Fuzzy Descriptor PMID a...
Sensors and Actuators Integration in Embedded Systems
June 2020: Top Read Articles in Control Theory and Computer Modelling
Tracy–Widom distribution based fault detection approach: Application to aircr...
Neural Network-Based Actuator Fault Diagnosis for a Non-Linear Multi-Tank System
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 65, NO. 3, M.docx
Actuator Fault Decoupled Residual Generation on Lateral Moving Aircraft
H04544759
40220140501001
TRANSMISSION LINE HEALTH PREDICTION SYSTEM IN HVDC AND HVAC LINES
State and fault estimation based on fuzzy observer for a class of Takagi-Suge...
State and fault estimation based on fuzzy observer for a class of Takagi-Suge...
3271829.ppt
Sensor fault reconstruction for wind turbine benchmark model using a modified...
January_IJICS 2024 TOP_10_MOST_CITED_ARTICLES.pdf
Determination of Fault Location and Type in Distribution Systems using Clark ...

Presentation by CZH

  • 1. 1. Test, diagnosis and reliability for Electronics, Renewable energy systems and Smart-grid Component failures Related deliverables: [1] Z. Cen. Condition Parameter Estimation for Buck Converter based on Model Observer. IEEE Transactions on Industrial Electronics. 2015. (in revision) [2]Z. Cen, Abdelkader Bousselham. Fault diagnosis for Photo-Voltaic Power Converter based on Model Observers. The International Conference on Advances in Computing, Communication and Information Technology -CCIT 2014, London, UK, June 2014. (Best Paper Award) [3]Y. Cao, Z. Cen and J. Wei, "FDSAC-SPICE: Fault diagnosis software for analog circuit based on SPICE simulation," in International Conference on Space Information Technology 2009. Registered Software: Wei Jiaolong, Cen Zhaohui, JIang rui, Fault simulation software for aircraft attitude control system. (Registered No: 2010SR004895). Zhaohui Cen2015/3/18 1 Fig. 1-1 faulty electronic components and typical failures Fig. 1-2 ATE environment hardware for eletronics test and diagnosis Fig. 1-3 “Fault doctor” software operation panel Fig. 1-4 Diagnosis reasoning-logic procedure Fig. 1-5 Fault-tree analysis Fig. 1-6 self-diagnosis and condition parameter estimation for power electronics devices Fig. 1-7 experiment platform for power electronics based on NI compact RIO and labview
  • 2. 2. Fault prognosis and recovery for Aerocrafts and Unmanned Aerial Vehicles Fig.2-4 diagram of Satellite Attitude Control system Disturbance Controller Reaction Wheel Attitude Dynamics Model Attitude Determine Model Attitude Sensors Model Attitude Motion Model - + Refer Attitude Fault inu outu Selected deliverables: [1] Z.Cen, H.Noura, T.Bagus, Al Younes. Robust Fault Diagnosis for Quadrotor UAVs Using Adaptive Thau Observer*J+ , Journal of Intelligent & Robotic Systems, January 2014, Volume 73, Issue 1-4, pp 573-588. [2] Z. Cen, J. Wei and R. Jiang, A Grey-Box Neural Network based Model Identification and Fault Estimation Scheme for Nonlinear Dynamic Systems*J+, International journal of neural system. 23(6), 2013, 1350025. (Currently IF=6.056 and a rank of 3 out of 114 in the Computer Science and Artificial Intelligence category). [3] J. Wei, Z. Cen and R. Jiang. A sensor fault-tolerant observer for satellite attitude control*J+. Journal of System Engineering and Electronics. 2012. Vol. 23, No. 1, February 2012, pp.99–107. Patents: [1]Wei Jiaolong, Cen Zhaohui, JIang rui, Fault tolerant observing method of sensor for satellite attitude control system. (Authorized No: ZL200910060816.2). [2]Wei Jiaolong, Cen Zhaohui, JIang rui, Blind system fault detection and isolation method for real-time signal processing of spacecraft. (Authorized No: ZL200910272265.6). Zhaohui Cen2015/3/18 2 Fig. 2-1 FDD methods utilized in my research Fig. 2-2 Studied satellite prototype Fig. 2-3 Hardware-in-Loop Simulation Environment Fig. 2-5 studied Quad-rotor UAV Fig. 2-6 studied Hexi-rotor UAV
  • 3. 3. Quadrotor UAV and Thrust-Vectoring UAV aerodynamics modeling and control z zF T y yF T x xF T a e r Ty Tz T F ,n p ,m q ,l r 6DOFNonlinearaircraft Controlallocation Fastdynamics(innerloop) Fastloopcontroller Slowdynamics(outerloop) Slowerloopcontroller slowerdynamics (outererloop) Slowerloopcontroller Navigationdynamics (outerestloop) Navigationloopcontroller + + + + + + + + + + + Thrust Vector control+ V yz V  pqr a e r Ty Tz dp dq dr cp cq cr pq r d d d - - - - - -- - - - c c c dV d d cV c c  V dy dz yz cy cz - - cT -200 0 200 400 600 800-40 -20 0 20 -80 -60 -40 -20 0 20 Y (m) X (m) Z(m) -50 0 50 100 150 200 250 -20 0 20 -20 0 20 40 Y (m) X (m) Z(m) Related deliverables: [1] Z.Cen, H.Noura, Al Younes. Systematic Fault Tolerant Control based on Adaptive Thau Observer Estimation for Quadrotor UAVs *J+ ,International Journal of Applied Mathematics and Computer Science (AMCS), 2015, Vol. 25, No. 1. [2]Z. Cen, Tim Smith, Paul Stewart and Jill Stewart. Integrated flight/thrust vectoring control for jet-powered unmanned aerial vehicles with ACHEON propulsion *J+. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, July, 2014, DOI: 10.1177/0954410014544179. Zhaohui Cen2015/3/18 3 Fig. 3-1 Quad-rotor UAV in hovering Fig. 3-2 Studied TV-UAV Fig. 3-3 kinetics and dynamics of Quad-rotors Fig. 3-4 kinetics and dynamics of Thrust-vectoring Fixed-wing aircrafts Fig. 3-5 Proposed full Position Controller for TV-UAV Fig. 3-6 Trajectory of UAVs under position control Fig. 3-7 High-Attack-Angle control for TV-UAV Fig. 3-8 Velocity-Vector-Roll control for TV-UAV
  • 4. 4. Neural Networks and its applications in modeling and fault identification 0 200 400 600 800 1000 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2 t(s) resdual tuned SPNN expected GBNNM tuned SNN tuned RNN tuned PNN 0 200 400 600 800 1000 -0.25 -0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2 0.25 t(s) PartialLOEfaultprameter(N.m) estimation of IESONN estimation of ESO real fault value d=0.1 d=0.2 d=0.15 INDEX SNN RNN PNN SPNN GBNN M expected R2 98.84% -21.25 46.98% 97.46% 99.99% 100% RMSE 3.95e-2 1.73 2.692e-1 5.85e-2 2.7e-3 0 Selected deliverables: [1] Z. Cen, J. Wei and R. Jiang, A Grey-Box Neural Network based Model Identification and Fault Estimation Scheme for Nonlinear Dynamic Systems*J+, International journal of neural systems. 23(6), 2013, 1350025. (Currently IF=6.056 and a rank of 3 out of 114 in the Computer Science and Artificial Intelligence category). [2]Z. Cen, J. Wei, R. Jiang, and X. Liu. Application of Mallat wavelet fast transforms and IDRNN in real-time fault detection and identification for satellites *J+, Journal of University of Science and Technology Beijing,2012. 32(1), 90-95. [3] Z. Cen, J. Wei, R. Jiang, and X. Liu, "Real time fault diagnosis of Infrared Earth Sensor using Elman neural network," Zhendong Ceshi Yu Zhenduan/Journal of Vibration, Measurement and Diagnosis, vol. 30, pp. 504-509, 2010. Patents: [1]Wei Jiaolong, Cen Zhaohui, JIang rui, Blind system fault detection and isolation method for real-time signal processing of spacecraft. (Authorized No: ZL200910272265.6). Zhaohui Cen2015/3/18 4 Fig 4-1“P2P” diagnosis strategy for general systems Fig. 4-2 Various NNs as a reference for residuals nonlinear dynamic system 1 S2 ( )f 1( )f 3 ( )f 4 ( )f1 S 1 S 1 S2NN 1NN 3NN 4NN 1 S 1 S Grey-box NN identification u y Fig. 4-3 Proposed “Grey-Box” NN concept 1 S ( , )F x u ( )x t ( , )h x x ( )x t ( )fy t NN1 1 1( , , )g x u w NN2 2 2( , , )g x x w actuators 1 S ˆ( )x t ˆ( )x t GBNNM  + - ˆ( )y t ( )r t ( )u t Improved ESO based on Neural Network NN1 1 1( , , )g x u w NN2 2 2( , , )g x x w 1 S   - 2 2 ˆ ( , , )f g e    + + - 1 + Estimation of Fault parameter GBNNM Residual Fig. 4-4 GBNNM application for fault estimation Fig. 4-5 Fault identification results Tab. 4-1 Modeling Comparison for Various NN and proposed GBNNM