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MODELING OF WATER TREE DEGRADATION IN UNDERGROUND
POLYMERIC POWER CABLE USING TIME DOMAIN REFLECTOMETRY
METHOD
AZNIZA BINTI AHMAD
A project report submitted in partial fulfilment of the
requirements for the award of the degree of
Master of Engineering (Electrical – Power)
Faculty of Electrical Engineering
Universiti Teknologi Malaysia
JANUARY 2015
iii
Dedicated to my beloved parents
Ahmad bin Mahmood & Robiah binti Rojali
Siblings
Azizah binti Ahmad
Nazri bin Ahmad
Azida binti Ahmad
Nasir bin Ahmad
and
All my friends
for their support and encouragement
iv
ACKNOWLEDGEMENT
With the name of ALLAH, Most Generous and Most Merciful
The author wishes to take this opportunity to greatest gratitude and special
thanks to the final year master project supervisor Dr Yanuar Z Arief, for her
guidance, assistance, patience and time spent throughout the process of completing
this Final Year Master Project. Valuable advice, her kindness to share her knowledge
had been a great help to the author in the completion this final year master project
application, research and report. Others attitude from critique, helping the author,
share the experience, share the knowledge and many more is much appreciated.
Besides that, the author would also like to greatest and special thanks you to
the assessor Assoc. Prof. Dr Mohamed Afendi bin Mohamed Piah and Dr Mohd
Hafizi for her reviews, ideas, critic and comments. All the information that her give
is very helpful to the author in order for the author to further improve and enhance
the final year master project application and report.
Apart from that, also would like to thank you to parents for the support and
guidance throughout all the process of completing this Final Year Master Project.
The author also takes the opportunity to thank you to all lecturers and friends
who had also been very supportive and a great help to share their valuable ideas and
experience either directly or indirectly.
Author
January, 2015.
v
ABSTRACT
Cross-linked polyethylene (XLPE) is a one of the insulation materials in
polymeric power cable. They are usually used in underground medium voltage
cables. These cables are exposed to a significant risk of premature ageing and failure
of polymeric cable. One of that phenomenons is water treeing. In this project, water
tree has been modeled using MATLAB simulation while PSpice software was
regarded as an experimental model. Time domain reflectomerty (TDR) is applied as
a method to investigate the degradation and location due to the water tree. Five
different geometries of cables with varied in two different length will be measured in
this study. The simulation results show the wave propagation characteristics such as
attenuation and velocity are important parameters as a benchmark to analyze the
signals generated from PSpice software. Moreover, in experimental model shows
that the water tree can be defined by implemented the TDR method. It was found that
the error percentage of simulation results and calculations is 9.06%.
.
vi
ABSTRAK
Polietilen Hubung-Silang (XLPE) adalah salah satu daripada bahan penebat
dalam polimer kabel. Ianya biasa digunakan dalam kabel bawah tanah bagi voltan
sederhana. Kabel ini terdedah kepada risiko penumbuhan pra-matang dan kegagalan
kabel polimer. Pepohon air merupakan salah satu fenomena ini. Dalam kajian ini,
pepohon air dimodelkan dengan menggunakan simulasi MATLAB manakala
perisian Pspice sebagai eksperiment kajian. Oleh itu, ‘Time Domain
Reflectomerty’(TDR) adalah kaedah untuk menyiasat degradasi dan lokasi pepohon
air itu. Kajian ini diukur dengan menguji lima perbezaan geometri serta dua ukuran
yang berbeza. Hasil simulasi, menunjukkan ciri-ciri perambatan gelombang seperti
pengecilan dan halaju adalah parameter adalah penting sebagai penanda aras untuk
menganalisis isyarat yang dihasilkan dari perisian Pspice. Selain itu, keputusan
eksperimen menunjukkan, pepohon air boleh dilaksanakan dengan kaedah TDR.
Peratusan kesilapan bagi hasil simulasi eksperiment dan pengiran ialah 9.06 %.
.
vii
TABLE OF CONTENTS
CHAPTER CONTENT PAG
E
DECLARATION ii
DEDICATION iii
ACKNOWLEDGEMENT iv
ABSTRACT v
ABSTRAK vi
TABLE OF CONTENTS vii
LIST OF TABLES x
LIST OF FIGURES xi
LIST OF ABBREVIATIONS xv
LIST OF SYMBOLS xvi
LIST OF APPENDICES xvii
1 INTRODUCTION
1.1 Overview 1
1.2 Problem Statement 3
1.3 Objective of the Project 3
1.4 Scope of the Project 3
1.5
1.6
Development Software
Outline of thesis
4
4
2 LITERATURE REVIEW
2.1 Background Study 6
2.2 Recent Literature on Water Treeing 6
2.3 Crosslinked Polyethylene (XLPE) Polymeric 8
viii
Cables
2.4 Transmission Line 10
2.5 Water Tree In Polymeric Cable 12
2.6 Time Domain Reflectometry (TDR) 14
3 METHODOLOGY
3.1 XLPE Cable Geometry 18
3.2 Modeling using MATLAB simulation 21
3.2.1 Wave propagation characteristics 30
3.3 Modeling using PSpice simulation 32
4 RESULTS AND DISCUSSIONS
4.1 Introduction 38
4.2 MATLAB Simulation Result and Analysis 39
4.3 Ideal/Unaged Cable Condition for Five Cable
Difference Geometry
45
4.4 PSpice Simulation Result and Analysis for
100m Length of Cable 1
49
4.4.1 Unaged Cable Condition 49
4.4.2 Degrade cable condition 51
4.5 PSpice Simulation Result and Analysis for 25m
length of cable 3
59
4.5.1 Ideal/Unaged cable condition 59
4.5.2 Degrade cable condition 62
4.6 Result for cable 1,2,3,4 and 5 with difference
length and condition
69
4.6.1 Cable 1 Unaged –Degraded condition 69
4.6.2 Cable 2 Unaged –Degraded condition 72
4.6.3 Cable 3 Unaged –Degraded condition 75
4.6.4 Cable 4 Unaged –Degraded condition 78
ix
4.6.5 Cable 2 Unaged –Degraded condition 81
5 CONCLUSION AND RECOMMENDATIONS
5.1 Overview 84
5.2 Conclusion 84
5.2 Recommendations 86
REFERENCES 87
APPENDIX A-C 90-104
x
LIST OF TABLES
TABLE NO. TITLE PAGE
3.1 TNB cable parameter 19
3.2 Characteristics Impedance , for five cables
geometry in ohm(Ω)
29
3.3 Time delay of coaxial cable and test cable for
100m length
32
3.4 Time delay of coaxial cable and test cable for
25m length
32
xi
LIST OF FIGURES
FIGURE NO. TITLE PAGE
1.1 Diagram of underground cable failure reported
by Tenaga Nasional Berhad during 1
September 2010 – 31 August 2011
2
2.1 Molecular structure for polyethylene and
XLPE
8
2.2 Single Core XLPE Polymeric power cable 9
2.3 Typical XLPE Cable Geometry 9
2.4 Equivalent circuit for two port networks 10
2.5 The microscope observation of the water tree
channel
12
2.6 Water Trees Growing from the Inner (bottom)
and Outer (top) Semiconductive Screens
13
2.7 Vented water trees in power cable insulation 13
2.8 Functional block for a time domain
measurement set-up
15
3.1 Typical XLPE Cable Geometry 18
3.2 Typical XLPE Cable Geometry 20
3.3 Unaged XLPE Cable Model 21
3.4 Degraded XLPE Cable Model 21
3.5 XLPE insulation degraded due the water tree 23
3.6 Flowchart of MATLAB program to
characteristics impedance,
25
xii
3.7 Characteristics Impedance, versus Frequency, Hz 26
3.8 Characteristics Impedance, versus Frequency, Hz
for Cable 1
26
3.9 Characteristics Impedance, versus Frequency, Hz
for Cable 2
27
3.10 Characteristics Impedance, versus Frequency, Hz
for Cable 3
27
3.11 Characteristics Impedance, versus Frequency, Hz
for Cable 4
28
3.12 Characteristics Impedance, versus Frequency, Hz
for Cable 5
28
3.13 Flowchart of MATLAB program to attenuation
propagation and speed velocity
30
3.14 Cross section of partially degraded XLPE cable
with two insulation region
31
3.15 Functional block diagram for TDR system 34
3.16 TDR system Circuit Model 34
3.17 PSpice modeling for unaged cable condition 35
3.18 PSpice modeling for degraded cable condition 35
4.1 Attenuation dB/m versus Frequency, Hz for ideal
cable condition of five difference cable geometry
38
4.2 Velocity (m/s) versus Frequency, Hz of ideal cable
condition for five difference cable geometry
38
4.3 Attenuation (dB/m) versus Frequency Hz for cable 1 40
4.4 Attenuation (dB/m) versus Frequency Hz for cable 1 40
4.5 Attenuation (dB/m) versus Frequency Hz for cable 2 40
4.6 Velocity (m/s) versus Frequency Hz for cable 2 41
4.7 Attenuation (dB/m) versus Frequency Hz for cable 3 41
4.8 Velocity (m/s) versus Frequency Hz for cable 3 41
xiii
4.9 Attenuation (dB/m) versus Frequency Hz for cable 4 42
4.10 Velocity (m/s) versus Frequency Hz for cable 4 42
4.11 Attenuation (dB/m) versus Frequency Hz for cable 5 42
4.12 Velocity (m/s) versus Frequency Hz for cable 5 43
4.13 Attenuation dB/m versus cable Velocity m/s versus
cable
43
4.14 Velocity m/s versus cable 44
4.15 Voltage,V versus time,s of reflection pulse for five
different geometry cable
45
4.16 Signal for result for unaged cable condition in figure
4.16
45
4.17 Voltage,V versus time,s of reflection pulse for
unaged cable condition in cable 1
48
4.18 Voltage, V versus time, s of 25% degraded cable 1
at ideal /degraded (50m/50m) length
50
4.19 Signal result for degraded cable condition 50
4.20 Voltage, V versus time, s of 25% degraded cable 1
at ideal /degraded (25m/75m) length
52
4.21 Voltage, V versus time, s of 25% degraded cable 1
at ideal /degraded (75m/25m) length
53
4.22 Unaged and Unaged–Degraded reflected signal for
test cable length 100m,50m/50m,25m/75m and
25m/75m of 25% degraded condition
54
4.23 Voltage, V versus time, s of 5%,25%, 50% and 75%
degraded cable 1 at ideal /degraded (50m/50m)
length
57
4.24 Voltage,V versus time,s of reflection pulse for cable
3
58
4.26 Voltage, V versus time, s of 25% degraded cable 3
at ideal /degraded (12.5m/12.5m) length
61
xiv
4.27 Voltage, V versus time, s of 25% degraded cable 3
at ideal /degraded (10m/15m) length
63
4.28 Voltage, V versus time, s of 25% degraded cable 3
at ideal /degraded (15m/10m) length
64
4.29 Voltage, V versus time, for cable 1 68
4.30 Voltage, V versus time, for cable 1 69
4.31 Voltage, V versus time, for cable 1 70
\4.32 Voltage, V versus time, for cable 2 71
4.33 Voltage, V versus time, for cable 2 72
4.34 Voltage, V versus time, for cable 2 73
4.35 Voltage, V versus time, for cable 3 74
4.36 Voltage, V versus time, for cable 3 75
4.37 Voltage, V versus time, for cable 3 76
4.38 Voltage, V versus time, for cable 4 77
4.39 Voltage, V versus time, for cable 4 78
4.40 Voltage, V versus time, for cable 4 79
4.41 Voltage, V versus time, for cable 5 80
4.42 Voltage, V versus time, for cable 5 81
4.43 Voltage, V versus time, for cable 5 82
xv
LIST OF ABBREVIATIONS
XLPE - Crosslink polyethylene
PE - Polyethylene
PD - Partial discharge
PVC - Polyvinyl Chloride
SR Silicon rubber
TDR - Time Domain Reflectometry
FFTs - fast Fourier transforms
RF - Radio frequency
GFCI - Ground Fault Current Interrupter
TD - Time delay
xvi
LIST OF SYMBOLS
H/m - Hendry per meter
Ω/m - Ohm per meter
µs - Micro per second
S/m - Simon per meter
F/m - Farad per Meter
Zo - Characteristics impedance
ns - Nano second
us - Micro second
Vi - Voltage incident
Vr - Voltage reflection
Attenuation
β(ω) Phase velocity
ɛ Permittivity
µ Permeability
c Velocity
Length
xvii
LIST OF APPENDICES
APPENDIX TITLE PAGE
A Gant chart project 53
B MATLAB coding for characteristics impedance 90
C MATLAB coding for wave propagation characteristics 103
CHAPTER 1
INTRODUCTION
1.1 Overview
Polymeric cables are commonly used in power system application as cable
insulation, such as XLPE, PE, PVC, SR and other. In economical perspective, it is
reported that there is significantly reduction demand of paper-type cable and
increasing of polymeric ones. The introduction of polyethylene (PE) extruded cables
into the power distribution sector in the early 1950s required a rapid development of
partial discharge (PD) detection technique and testing standards to assess the
reliability of these cables.
One of the polyethylene insulation materials is a crosslink polyethylene
(XLPE) which is widely used as insulation material in power cable. XLPE cable
provides the low dielectric losses. However, after the put into the service, the cable
will be affected caused by the surrounding factor. In order to ensure the quality of
power supplies the aging status installed the cable. One of the primary causes of
aging breakdown will be traced in year 1972 due to moisture ingression into the
insulation is water treeing[1]. Water trees from and convert to electrical trees and le
2
ad to water trees. Water tree leads to decreased insulation resistance an increased in
leakage current[2].
A fundamental interest of power utilities is to increase the total reliability at a
minimum cost by improved maintenance routines. Diagnostic testing of installed
XLPE power cables is of high interest because of the large number of old cables in
service with high probability of failure caused by water tree degradation[3].
Tenaga Nasional Berhad (TNB); a power utility company in Malaysia
reported that during 1 September 2010 – 31 August 2011, statistically there is a
failure of underground cable (medium voltage, 6.6 kV) due to water tree/water
ingress is about 16.5% which occurred in Selangor territory[2].
Figure 1.1 Diagram of underground cable failure reported by Tenaga
Nasional Berhad during 1 September 2010 – 31 August 2011
Therefore, this paper attempts to model the water tree degradation in
underground polymeric cable and analyse the data using time domain reflectometry
(TDR) as the proposed method for the detection mechanism.
17%
30% 53%
Failure of underground cable (medium voltage, 6.6
kV)reported by Tenaga Nasional Berhad during 1 September
2010 – 31 August 2011
Water interes
Insulation failed
Other (cable termination,core
opend,damanged,straight
through join)
3
1.2 Problem Statement
Water tree is one of the major causes of premature ageing and failure of
extruded medium voltage of polymeric cables which do not have water-impervious
barriers. Besides technological efforts, it has been a challenge up to now to
overcome such failures by improved insulating compound, mainly on the basis of the
chemically crosslinked low density polyethylene (XLPE).
Consequently, a need for investigating of water tree has arisen, and thus
reduces the need of cable testing to compare and preselect materials. The detection
and mechanism of water tree in polymeric cable is not clearly understood yet
1.3 Objective of Project
The objective of this project is to model water tree degradation in
underground polymeric cable. The degradation and location of water tree in
underground polymeric cable using TDR concept is also analysed.
1.4 Scope of Project
In order to achieve the objective of the project, there are several scopes that
have been outlined which are:
i. The five type of 6.6kV XLPE cable will be investigated
4
ii. The test cable varied in two different length that is 25m and 100m
length
iii. The test cable divided two part that is ideal/unaged cable XLPE and
degraded XLPE
iv. Time Domain Reflectometry (TDR) method is applied to analyze the
signal and detect the water tree mechanism
v. This project only involves simulation using MATLAB software to be
model polymeric cable and the experimental set-up developed using
PSpice circuit simulation
1.5 Development Software
This project uses two types of software which are:
i. MATLAB R2010a
For simulation to get the wave propagation characteristic of the ideal
cable and degraded cable.
ii. PSpice
For experimental set up to detect water tree degradation and location
using applies time domain reflectometry (TDR) method.
1.5 Outline of Thesis
This thesis consists of five chapters. The first chapter introduces the
background of the project, the problem statement, the objective, and the development
5
software of this project. The second chapter will be discussed about the literature
reviews that are related to the study.
Chapter 3 will explore the methodology to realize this project. Then, chapter
4 will discuss the result and discussion of overall project. Last but not least, the
conclusion and recommendation will be summarized in Chapter 5.
87
REFERENCE
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Power Cable due to WaterTreeing under AC and DC Stress. 2012 IEEE
International Conference on Power and Energy (PECon)Kota Kinabalu
Sabah, Malaysia, 2-5 December 2012.
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