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A Fundamental Study on Electrical Insulation of N2/SF6 Gas-Insulated Electric
Power Apparatus
HITOSHI SATO,1 KEIICHI MORITA,
1 TAKASHI KIKKAWA,
1 NAOKI HAYAKAWA,
2
and HITOSHI OKUBO2
1Meidensha Corporation, Japan
2Nagoya University, Japan
SUMMARY
In this paper, we carried out a case study on funda-
mental insulation design for the application of N2/SF6 gas
mixtures to a 275-kV gas-insulated busbar. First, we inves-
tigated the impulse ratio in N2/SF6 gas mixtures and point
out that the insulation design might be based on the negative
switching impulse voltage in the case of lower SF6 content.
Second, we estimated the tank diameter and SF6 gas amount
with consideration of the electric field strength on conduc-
tor surface and temperature rise in gas mixtures. We clari-
fied that the tank diameter at the lower SF6 content is mainly
determined by the electric field strength on the conductor
surface and quantified the optimum gas pressure and SF6
content for a target reduction of SF6 gas amount. © 2002
Wiley Periodicals, Inc. Electr Eng Jpn, 139(4): 9�16,
2002; Published online in Wiley InterScience (www.
interscience.wiley.com). DOI 10.1002/eej.1163
Key words: N2/SF6 gas mixture; GIS; insulation
design; impulse ratio; tank diameter.
1. Introduction
Because of its high insulation characteristics, SF6 gas
is widely used as a primary insulation medium in high-volt-
age electric power apparatus, including gas-insulated sys-
tems (GIS) and gas-insulated transmission lines (GIL).
However, since the Kyoto Conference on global warming
(COP3), SF6 has been recognized as a gas with significant
impact on global warming, and the total amount used as
well as amount output are to be restricted in the future, as
is the case for CO2 [1].
Given this situation, N2/SF6 gas mixtures have started
to be studied for use as an insulating gas for high-voltage
electric power apparatus [2, 3]. This is because N2 gas has
a very low negative load on the global environment and is
cheap, and when mixed with SF6 gas, it has a positive
synergism for insulation characteristics [4�7]. However,
current gas insulation technology has developed toward the
use of pure SF6 gas, and so when considering the practical
development of N2/SF6 gas mixtures for insulated electric
power apparatus, the insulation characteristics of the gas
mixtures must be understood under varying conditions, and
the insulation design standards for apparatus must be
reevaluated.
In this paper the authors perform a fundamental study
on the insulation design standards for the use of N2/SF6 gas
mixtures for coaxial cylinder devices like a GIS busbar and
GIL. First, based on existing data the authors consider the
impulse ratio, the allowed electric field on the conductor
surface, the conductor diameter, the tank diameter, and the
temperature rise in the conductor and tank, using the SF6
gas mixture ratio and the gas pressure as parameters. Based
on these results, the authors consider the possibility of
reducing the amount of SF6 gas used and the use of N2/SF6
gas mixtures for GIS.
In this study, a 275-kV GIS was conceived for use
with the N2/SF6 gas mixture. The structure of the GIS is
determined by the cross-sectional dimensions of the co-
axial cylinder electrode, the basic structure. A coaxial
cylinder electrode has a simple shape, its electric field
distribution can be found analytically, and the gas vol-
ume can be readily calculated. Consequently, it was used
for quantitative analysis. The SF6 gas mixture ratio, the
gas pressure, and the tank diameter were used as parame-
ters for this analysis.
© 2002 Wiley Periodicals, Inc.
Electrical Engineering in Japan, Vol. 139, No. 4, 2002Translated from Denki Gakkai Ronbunshi, Vol. 121-B, No. 4, April 2001, pp. 449�454
Contract grant sponsor: Public Project for the Proposal of New Industries
Development through NEDO (New Energy and Industrial R&D Organi -
zation).
9
2. Impulse Ratio
Figure 1 shows the insulated breakdown voltage (gas
pressure P = 0.45 MPa, absolute pressure) when (a) a
negative lightning impulse (LI�), (b) a negative switching
impulse (SI�), or (c) a 60-Hz alternating current (ac) volt-
age is applied in a N2/SF6 gas mixture in a coaxial cylinder
electrode (φ 89 mm / φ 226 mm) as per Cookson and
Pedersen [8]. Note that the positive lightning impulse (LI+)
and the positive switching impulse (SI+) are given by the
following equation in this reference.
Positive lightning impulse insulation breakdown
voltage:
Positive switching impulse breakdown voltage
Vt: Average insulation breakdown voltage
R: SF6 gas mixture ratio
Pt: Gas pressure
Pa: Atmospheric pressure (0.1 MPa)
Based on Fig. 1 and the equations above, the insula-
tion breakdown voltages for LI+, LI�, SI+, and SI� were
divided by the respective ac insulation breakdown voltages
(peak values), and these values, representing the depend-
ence on the mixture ratio for the impulse ratio, are shown
in Fig. 2. This figure makes clear that for each SF6 gas
mixture ratio, the impulse ratio for LI+ was low by com-
parison, and that the SI� impulse ratio was low compared
to the SI+ ratio. In addition, it shows that as the SF6 gas
mixture ratio rises, the LI and SI impulse ratios also tend to
rise, albeit slowly.
In general, the insulation design for a GIS busbar
using pure SF6 gas is performed based on the insulation
breakdown voltage for when a negative lightning impulse
is applied. This is because with respect to the test voltage,
the insulation breakdown voltage for a negative lightning
impulse is lowest due to the polarity difference in the V�t
characteristics of the SF6 gas in the coaxial cylinder poles.
Thus, for the N2/SF6 gas mixture, the authors studied the
polarity and the voltage waveform (which represent the
design standards) based on the relationship between the
impulse ratio and the test voltage defined in JEC-2350 [9].
Figure 3 shows the dependence on the SF6 gas mix-
ture ratio for values for which the impulse ratio shown in
Fig. 2 is divided by the lightning impulse and switching
impulse test voltages (TVLI = 1050 kV, TVSI = 750 kV, TVLI
= 950 kV when using a high-performance lightning protec-
tor) and the ac test voltage (TVAC = 330 kV). This figure
illustrates that the insulation breakdown voltage for the
voltage waveform and polarity with the lowest values for
each mixture ratio should be used as a design standard. For
TVLI = 1050 kV in Fig. 3(a), if the insulation distance is
determined using LI� as a standard for all of the SF6 gas
mixture ratios, then the LI+, SI+, SI�, and ac test voltages
can all be withstood. On the other hand, for TVLI = 950 kV
in Fig. 3(b), insulation design must be implemented using
LI� as a standard for an SF6 gas mixture ratio of 60 to 100%,
and SI� must be used for SF6 gas mixture ratios of 20 and
40%.
On the other hand, in the study above, data for 10 to
20% as a practical SF6 gas mixture ratio are lacking. Figure
4 shows the positive and negative impulse lightning break-
down field for SF6 gas mixture ratios of 0, 20, and 100% as
per Cookson and Pedersen [8] shown in Fig. 1, and the
positive and negative lightning impulse breakdown field in
a coaxial cylindrical electrode (φ185 mm / φ40 mm) for an
SF6 gas mixture ratio of 0, 5, 20, and 100% as per Waymel
[10]. In this figure both the positive and negative lightning
Fig. 1. Negative lightning impulse, negative switching
impulse, and 60-Hz ac breakdown voltages
of N2/SF6 gas mixtures.
(1)
(2)
Fig. 2. Impulse ratio in N2/SF6 gas mixture.
10
impulse breakdown fields (solid circles and triangles)
match well. However, for a low SF6 gas mixture ratio and
a high gas pressure (over 0.4 MPa for a 5% SF6 gas mixture
ratio and over 0.6 MPa pure N2 gas), the LI+ insulation
breakdown field (open circles) tends to be lower than the
LI� insulation breakdown field (solid circles).
Given the above, it is clear that for the N2/SF6 gas
mixture insulation, the voltage waveform and the gas pres-
sure, the basics of insulation design, must be selected
appropriately by using conditions such as the SF6 gas
mixture ratio and the gas pressure. Establishing data for
reference in insulation design is also important. The
authors� study proceeds on the assumption that TVLI = 1050
kV, and is based on the LI� insulation breakdown voltage.
3. Conductor Diameter and Tank Diameter
Two points can be mentioned as major determining
factors for the size of the GIS busbar: the allowed electric
field on the conductor surface and the temperature rise in
the tank and the conductor.
3.1 Allowed electric field on the conductor
surface
Based on the experimental values (Fig. 1) for the
insulation breakdown voltage when a N2/SF6 gas mixture
lightning pulse is applied, the breakdown electric field Ed
was found for the conductor surface for each SF6 gas
mixture ratio and gas pressure. Then the allowed electric
field on the conductor surface Em for the Ed tolerance was
found as
σ: Standard deviation (5%)
The σ for the lightning impulse insulation breakdown
voltage for the N2/SF6 gas mixture was set to 5% (same
value as in SF6 gas) overall for each SF6 gas mixture ratio,
because the same value was reported [3] for pure SF6 gas.
η: Spacer efficiency (0.7)
This is the value of the insulation breakdown voltage
when a spacer is present divided by the value when a spacer
is not present. It is assumed that a value similar to that for
pure SF6 gas will be obtained by optimizing the shape of
the spacer for the N2/SF6 gas mixture, and so the η for the
SF6 gas [12] was used.
s: Tolerance (1.2)
A value used experimentally for an SF6 gas insulated
power device was used.
The relationship between the conductor diameter and
the tank diameter for which Em is satisfied can be expressed
as
Fig. 3. Impulse ratio/testing voltage ratio as a function
of SF6 content.
Fig. 4. Lightning impulse breakdown stress of N2/SF6
gas mixtures for coaxial cylindrical electrodes.
(3)
11
Em: Allowed electric field on the conductor surface
(kV/mm)
T.V.: Test voltage 1050 kV
d1: Conductor external diameter (mm)
d2: Tank internal diameter (mm)
Figure 5 shows the dependence of the SF6 gas mixture
ratio for the conductor diameters and the tank diameters
which satisfy Em for the cases in which (a) P = 0.4 MPa and
(b) P = 0.6 MPa. The current capacity was set to 6000 A.
Also, a straight line representing the points for which the
tank diameter is minimal when only the electric field is
considered (ratio of the tank diameter to the conductor
diameter is e = 2.72) was added. Based on this figure it is
clear that the tank diameter can be significantly reduced by
using a low SF6 gas mixture.
3.2 Temperature rise in the conductor and
tank surface
The temperature rise in the conductor and the tank
surfaces can be calculated using the following equations
which consider the effects of thermal emissions to the
exterior from the heating due to current and the convec-
tion/radiation [13, 14].
Thermal emission between the conductor and tank
Thermal emission between the tank and the atmos-
phere
Wc: Conductor loss (W/m)
Ws: Tank loss (W/m)
Tc: Conductor temperature (K)
Ts: Tank surface temperature (K)
Ta: Ambient temperature (K)
d1: Conductor external diameter (m)
d2: Tank internal diameter (m)
d3: Tank external diameter (m)
ε1: Conductor surface radiation index, 0.1 (unproc-
essed aluminum bare earth)
ε2: Tank internal surface radiation index, 0.1 (un-
processed aluminum bare earth)
ε3: Tank external surface radiation index, 0.8 (an-
nealed)
P: Gas pressure (kg/cm2-abs)
n: Gas pressure constant, 0.65 (SF6), 0.6 (N2)
K1: Flow constant between the conductor and tank,
4.4 (SF6), 2.6 (N2)
K2: Flow constant between the tank and the air, 2.75
These temperature rises are limited by the upper
temperature limit for the conductor and the sheath. In the
(4)
Fig. 5. Conductor and tank diameters for different SF6
contents with consideration of electric field strength on
conductor surface and temperature rise.
(5)
(6)
12
authors� study, the material for the conductor and the tank
were both aluminum, the upper limit for the conductor
temperature was 105 °C, and the upper limit for the tank
surface temperature was 70 °C. The allowed range for the
conductor diameter and the tank diameter from the stand-
point of the temperature rise when using pure SF6 gas or
pure N2 gas as an insulation medium is also noted in Fig. 5
for a GIS with a current capacity of 6000 A. This figure also
makes clear that the diameter of the conductor and of the
tank (SF6: thick solid line; N2: thick dashed line) limited by
the upper limit of the temperature rise (105 °C) is affected
by the injection of the gas. Because SF6 gas transmits heat
better (K1 is larger) compared to N2 gas, the necessary
conductor diameter and tank diameter are smaller. On the
other hand, the conductor diameter and tank diameter (thick
dotted line) limited by the upper limit of the tank surface
temperature (70 °C) are computed as the emission of all
losses from the tank surface, and so there is no gas injection
effect.
Figure 5(a) shows that compared to all of the SF6 gas
mixtures when P = 0.4 MPa, the tank diameter is deter-
mined by the allowed electric field for the conductor sur-
face, and the temperature rise is not restricted.
Figure 5(b) shows a repetition of the same analysis
for P = 0.6 MPa. A comparison of Figs. 5(a) and 5(b) shows
that the allowed electric field for the conductor surface rises
as the gas pressure rises, and the necessary tank diameter
falls. In addition, the tank diameter and the conductor
diameter (thick solid line and thick dashed line) determined
by the upper limit of the conductor temperature (105 °C)
for high gas pressure are small. This is because the thermal
transmission capacity of the injected gas rises due to a rise
in the gas pressure.
Based on Fig. 5(b) it is clear that for a gas pressure
of 0.6 MPa and a current capacity of 6000 A, the conductor
diameter and the tank diameter are limited primarily by the
temperature rise when pure SF6 gas is used. In addition, it
is clear that the tank diameter when the SF6 gas mixture
ratio is low is determined by the allowed electric field of
the conductor surface, and the temperature rise is not re-
stricted. This is because although the thermal transmission
capacity falls due to a drop in the SF6 gas mixture ratio, the
temperature rise is limited by an increase in the tank diame-
ter (radiating surface increases) due to a drop in the allowed
electric field of the conductor surface. In this instance,
revising the allowed electric field for the conductor surface
by reducing the tolerance would be useful for decreasing
the tank diameter.
4. Amount of SF6 Gas Used
Figure 6 shows the results of iterating the results of
the analysis in the previous section for a gas pressure of 0.6
MPa and a current capacity of 2000 to 8000 A, then finding
the minimum tank diameter for each SF6 gas mixture ratio.
Figure 7 shows the results of calculating the amount of SF6
gas used from the product of the gas spatial cross-sectional
area and the mixture ratio for the GIS busbar. This figure
standardizes the cases for pure SF6 gas, a gas pressure of
0.4 MPa, and a current capacity of 6000 A.
Based on Figs. 6 and 7, although the tank diameter
rises as the SF6 gas mixture ratio falls, the amount of SF6
gas used can be viewed quantitatively. Here, because the
tank diameter for pure N2 gas is extremely large, raising the
gas pressure is necessary when considering these condi-
tions for a GIS busbar. In addition, for a SF6 gas mixture
ratio of 10 to 100%, it is clear that a current capacity of 6000
A requires a small increase in the tank diameter, and a
current capacity of 8000 A requires a larger increase in tank
diameter compared to a current capacity of 2000 or 4000 A.
Fig. 6. Minimum tank diameter as a function of SF6
content.
Fig. 7. SF6 amount as a function of SF6 content.
13
This is because the minimum tank diameter is limited
by the rise in temperature when the current being used is
large. In other words, when the SF6 gas mixture ratio is over
10%, there is a tolerance with respect to the allowed electric
field of the conductor surface, and when under 10%, there
is excess current capacity for transmission due to the large
rise (increase in the thermal emission surface) in the tank
diameter because of the limit on the allowed electric field
of the conductor surface. In addition, there is a clear rise in
the amount of SF6 gas used when the current capacity is
8000 A as in Fig. 7, compared to when the current capacity
is 2000, 4000, or 6000 A. Therefore, although there is
insulation capacity tolerance when the gas pressure is 0.6
MPa, the current capacity is 8000 A, and the SF6 gas
mixture ratio is between 10 and 100%, a lot of SF6 gas has
to be used in order to ensure current transmission capacity.
5. Useful Gas Pressures and SF6 Gas Mixture Ratios
In the previous sections the gas pressure was used
repeatedly as a parameter, and the minimum tank diameter
and the amount of SF6 gas used were analyzed. Figure 8
shows the minimum tank diameter as a function of the SF6
gas mixture ratio, and Fig. 9 the amount of SF6 gas used for
a gas pressure of 0.2 to 0.6 MPa with a current capacity of
6000 A. These figures plot the combinations of useful gas
pressures and SF6 gas mixture ratios for any amount of SF6
gas used (target values). For instance, if the amount of SF6
gas used is 0.2 p.u., then based on Fig. 9 the SF6 gas mixture
ratio would be about 10% for a gas pressure of 0.6 MPa.
The diameter of the tank in this instance would be about
555 mm based on Fig. 8, which represents an increase in
the tank diameter of about 15% compared to 0.4 MPa (about
480 mm).
6. Conclusion
The authors studied the insulation design standards
for the use of N2/SF6 gas mixtures for a GIS busbar employ-
ing an officially accepted voltage of 275 kV. The results
were as follows.
(1) The impulse ratio rises due to an increase in the
SF6 gas mixture ratio. In addition, the voltage waveform
and polarity, which represent the fundamentals of insula-
tion design, must be selected appropriately to correspond
with the SF6 gas mixture ratio due to the relationship with
the test voltage.
(2) When the SF6 gas mixture ratio is low, the tank
diameter is determined by the allowed electric field on the
conductor surface, and is not limited by the rise in tempera-
ture. In this instance, revising the allowed voltage of the
conductor surface by reducing the tolerance is an effective
way to reduce the tank diameter.
(3) The gas pressure and SF6 gas mixture ratio which
can be used to achieve the desired reduction in the amount
of SF6 gas used were quantified along with the tank diame-
ter. The results showed that when the amount of SF6 gas
used was 0.2 p.u. and the gas pressure was 0.6 MPa, the SF6
gas mixture ratio was about 10%, and the tank diameter rose
by about 15% when pure SF6 gas (0.4 MPa) was used.
In the future countermeasures for foreign metals,
settings for insulation tolerance, and various other elements
must be considered in addition to the items mentioned in
this paper in order to design practical insulation for N2/SF6
gas mixture insulated electric power devices.
Acknowledgment
The authors performed a portion of this research as
part of the Public Project for the Proposal of New Industries
Development through NEDO (New Energy and Industrial
R&D Organization).
Fig. 8. Minimum tank diameter for different gas
pressures as a function of SF6 content.
Fig. 9. SF6 amount for different gas pressures as a
function of SF6 content
14
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AUTHORS (from left to right)
Hitoshi Sato (member) graduated from the Nuclear Power Engineering Department at Hokkaido University in 1995 and
joined Meidensha Corporation. He is pursuing research primarily on the basic insulation characteristics of gas-insulated electric
power apparatus.
Keiichi Morita (member) graduated from the Electrical Engineering Department at Nihon University in 1971 and joined
Meidensha Corporation. He is pursuing research primarily on medium-voltage switch gear (switching devices).
Takashi Kikkawa (member) completed a master�s level course of study in electrical engineering at Osaka University in
1973 and joined Meidensha Corporation. He is pursuing research primarily on medium-voltage switch gear (switching devices).
Naoki Hayakawa (member) completed the latter half of his doctoral studies at Nagoya University in 1990 and became a
lecturer there. He has been an assistant professor of electrical engineering in the Engineering Research Department in the
Graduate School since 1998. He holds a D.Eng. degree. He received the 1996 Denki Gakkai Research Paper Award. He is a
member of IEEE, the Low-Temperature Engineering Society, and the Energy and Resources Council.
15
AUTHORS (continued)
Hitoshi Okubo (member) completed the first half of his doctoral studies at Nagoya University in 1973 and joined Toshiba.
He worked on the development of high-voltage technology. From 1976 to 1978, he was at the High Voltage Laboratory at Aachen
Institute of Technology in Germany and the High Voltage Laboratory at Munich Institute of Technology. In 1989 he became an
assistant professor in the Electronics Department at Nagoya University, and a professor in 1991. He holds a D.Eng. degree, and
is a member of IEEE, VDE, and CIGRE.
16