International Journal of Recent Technology and Engineering (IJRTE)
ISSN: 2277-3878, Volume-8 Issue-4, November 2019
5279
Published By:
Blue Eyes Intelligence Engineering
& Sciences Publication
Retrieval Number: D7452118419/2019©BEIESP
DOI:10.35940/ijrte.D7452.118419
Abstract: Detection and understanding of different high
frequency phenomenon in multilayered underground (UG) cable
require a thorough study of wave propagation mechanism which
is governed by the line parameters of the cable. Line parameters
are the functions of cable geometric and electromagnetic
properties. Therefore the inclusion of semiconducting screen in
cable structure influences the line parameters as well as wave
properties of the cable. This paper aims to investigate the effects of
the variation of different geometric and electrical properties of the
semiconducting screen on line parameters as well as wave
propagation characteristics of UG cable over a wide range of
frequency. The complete impedance matrix of cable considering
the effect of the semiconducting screen is derived using loop
current analysis without invoking the theory of a double-layered
conductor system. A comparative analysis on the effect of
parametric variations of the semiconducting screen on line
parameters as well as wave properties between the cable with and
without semiconducting screen over a wide range of frequency is
performed. This analysis indicates that the wave properties like
attenuation or phase velocity are considerably influenced by
inclusions of the semiconducting screen in cable structure,
especially at high frequency.
Keywords : Loop Current, Mesh and phase domain, Skin
Depth, Attenuation Constant.
I. INTRODUCTION
Like transmission line, underground (UG) power cable is
also susceptible to different high frequency phenomenon
which propagates as a wave through it. As the wave
propagation mechanism in a cable is governed by its primary
line parameters, cable geometry and material properties have
a direct influence on its wave properties. Therefore the
inclusion of semiconducting screen in cable structure has a
considerable effect on primary line parameters which in turn
influences the wave properties of the cable. Determination of
wave properties of UG cable based on cable primary line
parameters requires the derivation of a complete model of
impedance and admittance of the multilayered cable which
was first successfully done in [1] based on the
electromagnetic analysis of coaxial cylinder [2]. Though this
model has widespread applications in the study of high
frequency behavior of multilayered cable [3-6], it is only
suitable for cable structure containing alternate conducting
Revised Manuscript Received on November 15, 2019.
* Correspondence Author
Swarnankur Ghosh*, Department of Electrical Engineering, National
Institute of Technology Meghalaya, Laitumkhrah, Shillong, India. Email:
swarnankur.ghosh@nitm.ac.in
Supriyo Das, Department of Electrical Engineering, National Institute of
Technology Meghalaya, Laitumkhrah, Shillong, India. Email:
supriyo@nitm.ac.in
and insulating layers [3]. However, most of the practical
cable uses a semiconducting screen between conducting and
insulating layers which has considerable effects on cable line
parameters as well as wave properties [7, 8]. Therefore the
need for modification in the existing impedance and
admittance model [1] of UG cable to include the effect of the
semiconducting screen was arisen. After several attempts
[9-12], a complete and explicit mathematical model of cable
impedance considering the effect of the semiconducting layer
was first derived in [13] by solving Maxwell’s equations for a
two-layered conductor which was later verified using circuit
and numerical approach [14, 15]. These works and
subsequent works [10, 16-20] investigated the effects of the
variation of semiconductor resistivity and dielectric
properties on line parameters as well as wave properties of
the cable considering different factors like frequency,
pressure and temperatures of semiconductor sample, etc. both
theoretically and experimentally. These investigations were
mainly emphasized on reporting the role of the materialistic
properties of the semiconducting screen on attenuation
characteristic and deformation of propagated signal,
especially at high frequency.
This paper aims to understand and analyze the effects of
the variation of electrical and geometric properties of the
semiconducting screen on all three primary line parameters
namely resistive, inductive and capacitive part of the UG
cable over a wide range of frequency. The influence of
different parametric variations of the semiconducting screen
on wave properties of the cable is also studied. The line
parameters, as well as wave properties of the cable with
semiconducting screen, are obtained from the expressions of
impedance and admittance of the cable. The expressions of
impedance and admittance are derived using the loop current
method of circuit analysis. This method provides a way to
incorporate the effect of the semiconducting screen in the
expressions of cable impedance directly without recalling the
theory of double-layered conductor theory as done in [13,
14]. A comparative analysis between the cable with and
without semiconducting screen based on the effect of
parametric variations of the semiconducting screen on line
parameters and wave properties of the cable is performed.
The analysis shows that by varying electrical and geometric
properties of the semiconducting screen in cable considerable
changes in the line parameters can be made especially at high
frequency compared to that of cable without semiconducting
screen which in turn influences
the wave properties. Also, by
Effect of the Parametric Variations of
Semiconductor Screen on Line Parameters and
Wave Properties of Underground Cable
Swarnankur Ghosh, Supriyo Das