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Nagabhushan, J.Amarnath, D.Subbarayudu / International Journal of Engineering Research
                and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                  Vol. 2, Issue 6, November- December 2012, pp.210-213
     Effect Of Balanced Voltages On The Movement Of Metallic
         Particles In A Three Phase Common Enclosure Gas
                          Insulated Busduct
            Nagabhushan*, J.Amarnath** and D.Subbarayudu***
                                *(
                                P.D.A.College of Engineering, Gulbarga, India.)
                      **
                       (J.N.T.U.H College of Engineering,Kukatpally,Hyderabad-85, India)
                            ***(G.Pulla Reddy Engineering College, Kurnool, India)

ABSTRACT
         The reliability of gas insulated                  d. Coating conducting particles with insulating films
substations can be improved by eliminating the                       The work reported in this paper deals with
effects of metallic particles. The purpose of this         the movement of metallic particle in 3-phase
paper is to develop techniques, which will                 common enclosure Gas Insulated Busduct with
formulate the basic equations that will govern the         uncoated and coated enclosure. In order to determine
movement of particles like aluminum, copper in             the axial movement in an uncoated enclosure
uncoated as well as coated Busduct.                        system, the Monte-Carlo technique has been adopted
                                                           in conjunction with motion equation. The present
Keywords – Aluminium, busduct, copper, gas                 paper deals with the computer simulation of particle
insulated substation, movement, particles.                 movement in 3-phase common enclosure GIB with
                                                           coated as well as uncoated system. The specific
I. INTRODUCTION                                            work reported deals with the charge acquired by the
           Demand for electrical power has become          particle due to macroscopic field at the tip of the
one of the major challenges faced by the developing        particle, the force exerted by the field on the particle,
countries. Considering the relatively low per capita       drag due to viscosity of the gas and random behavior
power consumption, there is a constant need for            during the movement. Wire like particles of
power capacity addition and technological                  aluminium and copper of a fixed geometry in a 3-
upgradation whereas non-conventional energy                phase Busduct have been considered. The results
systems have proved to be good alternative sources         have been compared with the particle movement in
for energy. In developing countries like India most        uncoated and coated Busduct. The movement pattern
of the additional power has been met by                    for higher voltages class has been also obtained.
conventional electric sources. Hence, the emphasis         Monte-Carlo technique has been adopted for
has shifted towards improving the reliability of           determining the axial movement of the particle. It
transmission and distribution systems and ensuring         has been assumed that at every time step the particle
that the innovations are not harmful to the                can have a maximum movement 10 to 40 from
environment. Several authors conducted experiments         vertical.
on insulating particles. Insulating particles are found
to have little effect on the dielectric behavior of the    II. MODELING TECHNIQUE
gases [1-5]. However the presence of atmospheric           The Fig. 1 and Fig. 2 show a typical horizontal three
dust containing conducting particles, especially on        phase busduct with and without dielectric coating.
the cathode, reduces the breakdown voltage.
Conducting particles placed in a uniform ac field
lift-off at a certain voltage. As the voltage is raised,
the particles assume a bouncing state reaching a
height determined by the applied voltage. With a                                             C
                                                                           B
further increase in voltage, the bounce height and the
corona current increase until break down occurs [5].
The lift off voltage is independent of the pressure of                                  A
gas. After the onset of bouncing, the offset voltage is
approximately 30% lower than the lift-off voltage.                      A, B, C are the conductors
Several methods of conducting particle control and         Fig. 1 A typical 3-phase common enclosure GIB
de-activation are given. Some of them are:
a. Electrostatic trapping
b. Use of adhesive coatings to immobilize the
particles
c. Discharging of conducting particles through
radiation, and



                                                                                                    210 | P a g e
Nagabhushan, J.Amarnath, D.Subbarayudu / International Journal of Engineering Research
                and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                  Vol. 2, Issue 6, November- December 2012, pp.210-213
                                                          The electric field in 3-phase common enclosure GIB
                                                          electrode system at the position of the particle can be
                                                          written as

             B                C                           E(t) = E1(t) + E2(t) + E3(t)                (2)

                          A                                         Where, E(t) is the resultant field in vertical
                                                          direction due to the field of three conductors on the
                                                          surface of the particle at the enclosure.
                                  Dielectric
                                                          E1(t), E2(t) and E3(t) are the components of the
                                   coating
                                                          electrical field in vertical direction. The gravitational
Fig. 2 Typical 3-phase common enclosure GIB with          force and drag forces are considered as described by
dielectric coating                                        several authors.

          The enclosures are filled with SF6 gas at       V.  SIMULATION                  OF       PARTICLE
high pressure. A particle is assumed to be at rest at     MOTION
the enclosure surface, just beneath the Busbar A,                  Computer simulations of the motion of
until a voltage sufficient enough to lift the particle    metallic wire particles were carried out on GIB of
and move in the field is applied. After acquiring an      64mm inner diameter for each enclosure and 500mm
appropriate charge in the field, the particle lifts and   outer diameter with 400KV applied to inner
begins to move in the direction of field having           conductors with 1200 phase difference.
overcome the forces due to its own weight and air                  A conducting particle motion, in an external
drag. The simulation considers several parameters         electric field will be subjected to a collective
e.g. the macroscopic field at the surface of the          influence of several forces. The forces may be
particle, its weight, Reynold’s number, coefficient of    divided into
restitution on its impact to both enclosures and                   Electrostatic Force (Fe)
viscosity of the gas. During return flight, a new                  Gravitational Force (mg)
charge on the particle is assigned based on the                    Drag Force (Fd)
instantaneous electric field.                             Software was developed in C language considering
                                                          the above equations and was used for all simulation
III. THEORETICAL STUDY                                    studies.
         Many authors [1-4] have suggested
solutions for the motion of a sphere or a wire like       VI. RESULTS AND DISCUSSIONS
metallic particle in an isolated busduct system. The                Fig. 3 shows the movement of aluminium
theory of the particle charge and the electrostatic       particle in radial direction for an applied voltage of
force on the particle is discussed elsewhere [5]. The     400KV rms. During its movement it makes several
motion equation is given by                               impacts with the enclosure. The highest
                                                          displacement in radial direction during its upward
md 2 y                                                    journey is simulated to be 65mm. As the applied
        Fe - mg - Fd                          (1)        voltage increases the maximum radial movement
 dt 2                                                     also increases as given in Table 1. However, it is
                                                          noticed that even up to a voltage of 100kv, the
         Where, y is the direction of motion and Fd       particle could not bridge the gap. Further
is the drag force. The direction of the drag force is     calculations may reveal the limiting voltage to
always opposed to the direction of motion. For            enable the particle to reach the high voltage
laminar flow the drag force component around the          conductor. A graphical representation of radial
hemispherical ends of the particle is due to shock        movement in relation to axial movement is given by
and skin friction. Very limited publication is            Monte-carlo technique as shown in Fig. 4. The
available for the movement of particle in a three-        movement of copper particle was determined for
phase Busduct, however the equation of motion is          400kv with similar parameters as above and found to
considered to be same as that of an isolated phase        have a maximum movement of 18mm in radial
Busduct.                                                  direction as shown in Fig. 5. The movements are
                                                          also calculated for other voltages.
IV. CALCULATION OF ELECTRIC                                         The movement of copper particle are also
FIELD IN 3-PHASE BUSDUCT                                  given in Table 1. It is noticed that the movement of
         The charge acquired by the vertical and          copper particle is far less than aluminium particle of
horizontal wire particles in contact with a bare          identical size. This is expected due to higher density
enclosure and coated enclosure can be expressed as        of copper particle. The axial and radial movement of
given by Srivastava and Anis [1].                         aluminium and copper particles are calculated using
                                                          Monte-carlo technique for three voltages i.e. 245kv,


                                                                                                   211 | P a g e
Nagabhushan, J.Amarnath, D.Subbarayudu / International Journal of Engineering Research
                 and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                   Vol. 2, Issue 6, November- December 2012, pp.210-213
 300kv and 400kv with a solid angle of 10. It is
 significant to note that for all the cases considered,
 there is no change in maximum radial movement,
 even when Monte-carlo method is applied. A
 relatively high value of axial movement is achieved
 with the random angle of 10. As expected the axial
 movement of copper particle is lower than the
 aluminium. The movement of aluminium and copper
 particles for a coated enclosure surface is shown in
 Fig. 6 and 7 respectively. It can be seen that the
 movement has been far less than that of an uncoated
 system.

  Table 1 : Axial and Radial movement of aluminium
  and copper particles. Simulation time : 1 sec
Voltage Type Max.                Monte-Carlo (
                   Radial        =10)                     Fig. 4 particle Movement in 3-phase GIB
                   Movement Radial Axial                  (400KV/Al / 0.1mm / 10mm / 10 Monte-Carlo
                   (mm)          (mm)       (mm)          technique)
245KV Al           28            28         320
           Cu      13            13         280
300KV Al           32            32         340
           Cu      14            14         300
400KV Al           65            65         600
           Cu      18            18         340

  Table 2 : Axial and Radial movement of aluminium
  and copper particles with coated electrodes,
  thickness 50 micro meter
  Simulation time : 1 sec
Voltage Type Max.              Monte-Carlo (
                   Radial      =10)
                   Movement Radial Axial
                   (mm)        (mm)     (mm)
245KV Al           0.001       0.001    100
                                                          Fig. 5 particle Movement       in   3-phase   GIB
           Cu      0.0001      0.0001 90
                                                          (400KV/Cu / 0.1mm / 10mm)
300KV Al           0.02        0.02     210
           Cu      0.002       0.002    183
400KV Al           0.4         0.4      195
           Cu      0.014       0.014    190




                                                          Fig. 6 particle Movement in 3-phase GIB on coated
                                                          electrodes (400KV/Al / 0.1mm / 10mm / 50 micro
                                                          meter)
 Fig. 3 particle Movement          in   3-phase   GIB
 (400KV/Al / 0.1mm / 10mm)




                                                                                              212 | P a g e
Nagabhushan, J.Amarnath, D.Subbarayudu / International Journal of Engineering Research
                      and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                        Vol. 2, Issue 6, November- December 2012, pp.210-213
                                                     REFERENCES
                                                             [1]     M.M. Morcos, S. Zhang, K.D. Srivastava,
                                                                     and S.M. Gubanski, Dynamics of Metallic
                                                                     particle contamination in GIS with
                                                                     dielectric coating electrodes,         IEEE
                                                                     Transactions on Power Delivery Vol. 15,
                                                                     No. 2, April 2000 p.p. 455-460.
                                                             [2]     J. Amarnath, B. P. Singh, C. Radhakrishna,
                                                                     S. Kamakshiah, Determination of particle
                                                                     trajectory in a Gas Insulated Busduct
                                                                     predicted by Monte-Carlo technique,
                                                                     International Conference on Electrical
                                                                     Insulation and Dielectric Phenomenon
                                                                     (CEIDP), 17-21 October 1999, Texas,
                                                                     Austin, USA.
Fig. 7 particle Movement in 3-phase GIB on coated             [3] H.Anis,         K.D.Srivastava,     Breakdown
electrodes (400KV/Cu / 0.1mm / 10mm / 50 micro meter)                Characteristics     of Dielectric Coated
                                                                     Electrodes in Sulphur Hexafluoride Gas
     VII. CONCLUSIONS                                                with     Particle   Contamination,      Sixth
              A model has been formulated to simulate                International Symposium on High Voltage
     the movement of wire like particle in 3-phase                   Engineering No. 32.06, New Orleans, LA,
     common enclosure GIB on bare as well as coated                  USA. 1989.
     electrodes. The results obtained are presented and       [4] J. Amarnath, B. P. Singh, C. Radhakrishna,
     analyzed. Monte-carlo simulation is also adopted to             S. Kamakshiah, Influence of Power
     determine axial movements of particle in the                    Frequency and Switching Impulse Voltage
     busduct. Distance traveled in the radial direction is           on Particle Movement in GIS – Predicted
     found to be same with or without Monte-carlo                    by     Monte-Carlo      Technique,     IEEE
     simulation. The displacement on coated electrodes               International High Voltage Workshop,
     are found to be very less compared to uncoated                  April 18-21, 2001, California, USA.
     electrode system.                                        [5] J. Amarnath, B. P. Singh, C. Radhakrishna, S.
                                                                     Kamakshiah, Movement of Metallic
     ACKNOWLEDGEMENTS                                                Particles in Gas Insulated Substations under
              The authors are thankful to management of              the influence of various types of voltages,
     P.D.A College of Engineering, Gulbarga and JNT                  11th National Power System Conference
     University, Hyderabad, for permission to publish                (NPSC-2000), 20-22 December, 2000, IISc,
     this work.                                                      Bangalore,                           INDIA.




                                                                                                  213 | P a g e

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  • 1. Nagabhushan, J.Amarnath, D.Subbarayudu / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.210-213 Effect Of Balanced Voltages On The Movement Of Metallic Particles In A Three Phase Common Enclosure Gas Insulated Busduct Nagabhushan*, J.Amarnath** and D.Subbarayudu*** *( P.D.A.College of Engineering, Gulbarga, India.) ** (J.N.T.U.H College of Engineering,Kukatpally,Hyderabad-85, India) ***(G.Pulla Reddy Engineering College, Kurnool, India) ABSTRACT The reliability of gas insulated d. Coating conducting particles with insulating films substations can be improved by eliminating the The work reported in this paper deals with effects of metallic particles. The purpose of this the movement of metallic particle in 3-phase paper is to develop techniques, which will common enclosure Gas Insulated Busduct with formulate the basic equations that will govern the uncoated and coated enclosure. In order to determine movement of particles like aluminum, copper in the axial movement in an uncoated enclosure uncoated as well as coated Busduct. system, the Monte-Carlo technique has been adopted in conjunction with motion equation. The present Keywords – Aluminium, busduct, copper, gas paper deals with the computer simulation of particle insulated substation, movement, particles. movement in 3-phase common enclosure GIB with coated as well as uncoated system. The specific I. INTRODUCTION work reported deals with the charge acquired by the Demand for electrical power has become particle due to macroscopic field at the tip of the one of the major challenges faced by the developing particle, the force exerted by the field on the particle, countries. Considering the relatively low per capita drag due to viscosity of the gas and random behavior power consumption, there is a constant need for during the movement. Wire like particles of power capacity addition and technological aluminium and copper of a fixed geometry in a 3- upgradation whereas non-conventional energy phase Busduct have been considered. The results systems have proved to be good alternative sources have been compared with the particle movement in for energy. In developing countries like India most uncoated and coated Busduct. The movement pattern of the additional power has been met by for higher voltages class has been also obtained. conventional electric sources. Hence, the emphasis Monte-Carlo technique has been adopted for has shifted towards improving the reliability of determining the axial movement of the particle. It transmission and distribution systems and ensuring has been assumed that at every time step the particle that the innovations are not harmful to the can have a maximum movement 10 to 40 from environment. Several authors conducted experiments vertical. on insulating particles. Insulating particles are found to have little effect on the dielectric behavior of the II. MODELING TECHNIQUE gases [1-5]. However the presence of atmospheric The Fig. 1 and Fig. 2 show a typical horizontal three dust containing conducting particles, especially on phase busduct with and without dielectric coating. the cathode, reduces the breakdown voltage. Conducting particles placed in a uniform ac field lift-off at a certain voltage. As the voltage is raised, the particles assume a bouncing state reaching a height determined by the applied voltage. With a C B further increase in voltage, the bounce height and the corona current increase until break down occurs [5]. The lift off voltage is independent of the pressure of A gas. After the onset of bouncing, the offset voltage is approximately 30% lower than the lift-off voltage. A, B, C are the conductors Several methods of conducting particle control and Fig. 1 A typical 3-phase common enclosure GIB de-activation are given. Some of them are: a. Electrostatic trapping b. Use of adhesive coatings to immobilize the particles c. Discharging of conducting particles through radiation, and 210 | P a g e
  • 2. Nagabhushan, J.Amarnath, D.Subbarayudu / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.210-213 The electric field in 3-phase common enclosure GIB electrode system at the position of the particle can be written as B C E(t) = E1(t) + E2(t) + E3(t) (2) A Where, E(t) is the resultant field in vertical direction due to the field of three conductors on the surface of the particle at the enclosure. Dielectric E1(t), E2(t) and E3(t) are the components of the coating electrical field in vertical direction. The gravitational Fig. 2 Typical 3-phase common enclosure GIB with force and drag forces are considered as described by dielectric coating several authors. The enclosures are filled with SF6 gas at V. SIMULATION OF PARTICLE high pressure. A particle is assumed to be at rest at MOTION the enclosure surface, just beneath the Busbar A, Computer simulations of the motion of until a voltage sufficient enough to lift the particle metallic wire particles were carried out on GIB of and move in the field is applied. After acquiring an 64mm inner diameter for each enclosure and 500mm appropriate charge in the field, the particle lifts and outer diameter with 400KV applied to inner begins to move in the direction of field having conductors with 1200 phase difference. overcome the forces due to its own weight and air A conducting particle motion, in an external drag. The simulation considers several parameters electric field will be subjected to a collective e.g. the macroscopic field at the surface of the influence of several forces. The forces may be particle, its weight, Reynold’s number, coefficient of divided into restitution on its impact to both enclosures and Electrostatic Force (Fe) viscosity of the gas. During return flight, a new Gravitational Force (mg) charge on the particle is assigned based on the Drag Force (Fd) instantaneous electric field. Software was developed in C language considering the above equations and was used for all simulation III. THEORETICAL STUDY studies. Many authors [1-4] have suggested solutions for the motion of a sphere or a wire like VI. RESULTS AND DISCUSSIONS metallic particle in an isolated busduct system. The Fig. 3 shows the movement of aluminium theory of the particle charge and the electrostatic particle in radial direction for an applied voltage of force on the particle is discussed elsewhere [5]. The 400KV rms. During its movement it makes several motion equation is given by impacts with the enclosure. The highest displacement in radial direction during its upward md 2 y journey is simulated to be 65mm. As the applied  Fe - mg - Fd (1) voltage increases the maximum radial movement dt 2 also increases as given in Table 1. However, it is noticed that even up to a voltage of 100kv, the Where, y is the direction of motion and Fd particle could not bridge the gap. Further is the drag force. The direction of the drag force is calculations may reveal the limiting voltage to always opposed to the direction of motion. For enable the particle to reach the high voltage laminar flow the drag force component around the conductor. A graphical representation of radial hemispherical ends of the particle is due to shock movement in relation to axial movement is given by and skin friction. Very limited publication is Monte-carlo technique as shown in Fig. 4. The available for the movement of particle in a three- movement of copper particle was determined for phase Busduct, however the equation of motion is 400kv with similar parameters as above and found to considered to be same as that of an isolated phase have a maximum movement of 18mm in radial Busduct. direction as shown in Fig. 5. The movements are also calculated for other voltages. IV. CALCULATION OF ELECTRIC The movement of copper particle are also FIELD IN 3-PHASE BUSDUCT given in Table 1. It is noticed that the movement of The charge acquired by the vertical and copper particle is far less than aluminium particle of horizontal wire particles in contact with a bare identical size. This is expected due to higher density enclosure and coated enclosure can be expressed as of copper particle. The axial and radial movement of given by Srivastava and Anis [1]. aluminium and copper particles are calculated using Monte-carlo technique for three voltages i.e. 245kv, 211 | P a g e
  • 3. Nagabhushan, J.Amarnath, D.Subbarayudu / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.210-213 300kv and 400kv with a solid angle of 10. It is significant to note that for all the cases considered, there is no change in maximum radial movement, even when Monte-carlo method is applied. A relatively high value of axial movement is achieved with the random angle of 10. As expected the axial movement of copper particle is lower than the aluminium. The movement of aluminium and copper particles for a coated enclosure surface is shown in Fig. 6 and 7 respectively. It can be seen that the movement has been far less than that of an uncoated system. Table 1 : Axial and Radial movement of aluminium and copper particles. Simulation time : 1 sec Voltage Type Max. Monte-Carlo ( Radial =10) Fig. 4 particle Movement in 3-phase GIB Movement Radial Axial (400KV/Al / 0.1mm / 10mm / 10 Monte-Carlo (mm) (mm) (mm) technique) 245KV Al 28 28 320 Cu 13 13 280 300KV Al 32 32 340 Cu 14 14 300 400KV Al 65 65 600 Cu 18 18 340 Table 2 : Axial and Radial movement of aluminium and copper particles with coated electrodes, thickness 50 micro meter Simulation time : 1 sec Voltage Type Max. Monte-Carlo ( Radial =10) Movement Radial Axial (mm) (mm) (mm) 245KV Al 0.001 0.001 100 Fig. 5 particle Movement in 3-phase GIB Cu 0.0001 0.0001 90 (400KV/Cu / 0.1mm / 10mm) 300KV Al 0.02 0.02 210 Cu 0.002 0.002 183 400KV Al 0.4 0.4 195 Cu 0.014 0.014 190 Fig. 6 particle Movement in 3-phase GIB on coated electrodes (400KV/Al / 0.1mm / 10mm / 50 micro meter) Fig. 3 particle Movement in 3-phase GIB (400KV/Al / 0.1mm / 10mm) 212 | P a g e
  • 4. Nagabhushan, J.Amarnath, D.Subbarayudu / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.210-213 REFERENCES [1] M.M. Morcos, S. Zhang, K.D. Srivastava, and S.M. Gubanski, Dynamics of Metallic particle contamination in GIS with dielectric coating electrodes, IEEE Transactions on Power Delivery Vol. 15, No. 2, April 2000 p.p. 455-460. [2] J. Amarnath, B. P. Singh, C. Radhakrishna, S. Kamakshiah, Determination of particle trajectory in a Gas Insulated Busduct predicted by Monte-Carlo technique, International Conference on Electrical Insulation and Dielectric Phenomenon (CEIDP), 17-21 October 1999, Texas, Austin, USA. Fig. 7 particle Movement in 3-phase GIB on coated [3] H.Anis, K.D.Srivastava, Breakdown electrodes (400KV/Cu / 0.1mm / 10mm / 50 micro meter) Characteristics of Dielectric Coated Electrodes in Sulphur Hexafluoride Gas VII. CONCLUSIONS with Particle Contamination, Sixth A model has been formulated to simulate International Symposium on High Voltage the movement of wire like particle in 3-phase Engineering No. 32.06, New Orleans, LA, common enclosure GIB on bare as well as coated USA. 1989. electrodes. The results obtained are presented and [4] J. Amarnath, B. P. Singh, C. Radhakrishna, analyzed. Monte-carlo simulation is also adopted to S. Kamakshiah, Influence of Power determine axial movements of particle in the Frequency and Switching Impulse Voltage busduct. Distance traveled in the radial direction is on Particle Movement in GIS – Predicted found to be same with or without Monte-carlo by Monte-Carlo Technique, IEEE simulation. The displacement on coated electrodes International High Voltage Workshop, are found to be very less compared to uncoated April 18-21, 2001, California, USA. electrode system. [5] J. Amarnath, B. P. Singh, C. Radhakrishna, S. Kamakshiah, Movement of Metallic ACKNOWLEDGEMENTS Particles in Gas Insulated Substations under The authors are thankful to management of the influence of various types of voltages, P.D.A College of Engineering, Gulbarga and JNT 11th National Power System Conference University, Hyderabad, for permission to publish (NPSC-2000), 20-22 December, 2000, IISc, this work. Bangalore, INDIA. 213 | P a g e