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27
27
Vol.27No.27Sep.2007
2007
9
ProceedingsoftheCSEE
TM835.4
©2007Chin.Soc.forElec.Eng.
0258-8013(2007)27-0013-06
A
470⋅40
1
1
1
1
2
M.Farzaneh2
2
(1
400044
2
CIGELEQuébecG7H2B1,Canada)
ThePropertiesofPositiveDCCoronaDischargeinIcedElectrode
SystemUnderLowAtmosphericPressure
SIMAWen-xia1,FENGJie1,YANGQing1,LAIXiang-ping1,D.Yu2,M.Farzaneh2,J.Zhang2
(1.TheKeyLaboratoryofHighVoltageEngineeringandElectricalNewTechnologyoftheMinistryofEducation,Collegeof
ElectricalEngineering,ChongqingUniversity,ShapingbaDistrict,Chongqing400044,China;
2.CIGELE,UniversitéduQuébecàChicoutimi,QuébecG7H2B,Canada)
ABSTRACT:Lowairpressureandrecurrenticingmayaffect
thedischargecharacteristicsofdielectricsanddecreasethe
insulatingperformanceofinsulators.Theaimofthispaperisto
investigatethecoronadischargephenomenaonice-covered
insulatorsatlowairpressurebasedonanicicle/iced-plate
electrodesystemwithdirectcurrent(DC)positivevoltage.
Usingapulsecurrentsensorandanultravioletcamera,
0
CoroCAMIV+,itwaspossibletocarryoutinvestigationson
theinfluenceofatmosphericpressureoncoronaonsetvoltage,
dischargemode,dischargewaveformandmeandischarge
[1-3]
amplitude.Anempiricalfunctionforpredictingcoronaonset
voltagewasdeveloped,sheddingmorelightontheinfluenceof
pressureonmeanpulseamplitudeofpartialdischarge(PD).
Thetheoreticalanalysisindicatesthatthecoronaonsetvoltage
ofthetestedclearancedecreasesexponentiallywiththe
increaseofaltitude,andthatthespecialexponentsareaffected
bythelengthofclearance.Theresultsofthisstudywill
advanceourknowledgeofcoronadischargesaticicletipsand
helptocalculatemorepreciselytheelectricfielddistribution
alongice-coveredinsulators.
[3-5]
[1-6]
[7-8]
KEYWORDS:directcurrent;lowatmosphericpressure;ice;
coronaproperties
–
[5,9-10]
Uinc
SF6
CoroCAMIV
+
[11]
[12]
(90210026)
ProjectSupportedbyNationalNaturalScienceFoundationofChina
[11]
(90210026).
14
27
2
[13]
–
[3,5]
CIGELE
735kV
1
18°
[7]
2.5mm
–
[3-6]
–
[13]
2
σ=80µS/cm
(T=0)
Uinc
Uinc
5cm
98.788.7
1
78.7
17.7
68.7kPa
21.0419.57
15.98kV
[7,11]
3.8m×2m
−36
[13]
25
9cm
30kPa
7cm
5cm
V
22
19
16
13
k
/
2.5mm
−12
8h
[13]
3cm
3~9cm
2m
65
75
8595
/kPa
105
CoroCAM
+
Τ
(=0)
2
−5
1
Fig.2Coronainceptionvoltages
invariouspressures(=0)
Τ
1
=3kΩR=30k
Ω
H
R
K
m
m
C
A
E/N
B
S
I
C
I
E
F
T
B
N
R
R∞
~
PC
m
O
T—
25kVA
B—
100kV/10kVA
F
S—
Rm—
C—
I—
O—
[5,9]
H—
PC—
SE—
K—
CA—
BI—
U/U=(p/p)m
(1)
(2)
1
0
0
U
U0
p
Fig.1Coronadischargemeasurementsystem
p0(101.3kPa)
m
98.788.778.7
–
68.7kPa
98.7kPa
1kV/s
U/U=(p/p)m
inc
inc0
0
UincUinc0
p
27
15
∆U=(0.9118−0.0284d)∆p
∆U=(U−U)/U
(8)
p0(101.3kPa)
–
inc0
inc
inc0
U=U(p/p)m
(3)
3
(9cm)
inc
inc0
(3)
0
(
3000m
2
)
–
Uinc
p/p0
d=5cm
0.9
5
3
Uinc
p
(3)
1
d
Uinc0
90kPa
m
1
m
4
25
9cm
22
19
16
13
V
k
5cm
3cm
/
c
n
U
i
7cm
0.60.70.80.91.0
(a)98.7kPa20.8kV
(c)78.7kPa17.6kV
(b)88.7kPa19.5kV
(d)68.7kPa16kV
p/p0
3
U
p/p
0
inc
Fig.3Uincvsp/p0
1
d
U
m
inc0
Tab.1SpecialindexmandUinc0invariousgapspacing
d/cm
5
Fig.5Inceptioncoronadischargeimagesandvoltages
againstvariouspressures
3579
Uinc0
/kV
19.48621.53823.41325.062
0.83030.76790.70700.6616
m
0.9
m0.7
2
0.5
246
8
10
d/cm
m=−0.0284d+0.9118
R
2=0.9949
4
m
Fig.4Specialindexmasafunctionofgaplength
m
[7]
m=−0.0284d+0.9118
(4)
(5)
(6)
(4)
(3)
U=U(p/p)−0.0284d+0.9118
+HO+eRO(HO)+hυ
−
222
O
inc
inc0
0
2
∆p=(p−p)/p
(5)
hυ
0
0
U=U(1−∆p)−0.0284d+0.9118
inc
(6)
inc0
∆p=0
3
d=7cm
U=U[1−(0.9118−0.0284d)∆p]
(7)
6
inc
inc0
3×10
5
16
27
/s
33ns
6
600ns
6
98.788.778.7kPa
336699ns
4
M.Cernak[14]SF6
7cm
Morrow
[15]
Uinc~1.1Uinc
(>50)
7
600
400
200
0
2
C
p
/
2
0.4
98.7
88.778.768.7
p/kPa
A0.2
m
R2=0.939
/
(d=7cm)
i
7
0.0
Fig.7Averagechargequantityofdischargepulseandthe
correspondingstandarddeviationatvarious
airpressures(d=7cm)
43.65143.652
43.653t/ms
(a)p=98.7kPa
U=23.5kV
0.5
0.3
7
A
m
i
/
0.1
80kPa
−0.1
30.134430.1355
98.788.778.768.7kPa
30.1365t/ms
334.0482.5539.2
248.8pC
(b)p=88.7kPa
U=20.5kV
0.8
7
0.939
0.4
0.0
A
m
/
i
Q=−1.097p2+185.7p−7315
(9)
46.855746.8565
46.8575
t
/ms
[16]
Q
(c)p=78.7kPa
U=19kV
α
0.4
α=Ape−Bp/E
(10)
0.2
0.0
A
m
/
A=11.1cm⋅kPaB=275V/(cm⋅kPa)
i
α/E
η
39.284539.2855
39.2865t/ms
(d)p=68.7kPa
U=17.3kV
6
Fig.6Typicalwaveformofcurrentpulseundervarious
(d=7cm)
(10)
η=α/E=Ape−Bp/E/E
(11)
atmosphericpressures(d=7cm)
27
17
η
η=f(E/p)
E/p
2
η=f(E/p)
8
(14)
0.015
3
0.013
0.011
0.009
0.007
1
–
−
V
η/
1
2
0
200400600800
E/p/(V/(cm⋅kPa))
m
8
η=f(E/p)
ηasafunctionofE/pforair
Fig.8
η
dη
AB
A
=
e−Bp/E
−
e−Bp/E=0(12)
d(E/p)(E/p)3
(E/p)2
3
4
E/p=B
(13)
η
α
η
α
7
80kPa
8
7
2000m
80kPa
2000m
[1]
[2]
[M]
[11]
2002
2U
1
ξξ
E=
inc
ln(4d/r)⋅r+2−2/d
(14)
[J]
200424(9)158-162
ξ
cm
JiangXinliangXieShujiaoShuLichunetalIceflashoverperformace
andcomparisonofthreetypesofDCinsulatorsatlowatmospheric
r
cm
pressure[J]ProceedingsoftheCSEE200424(9)158-162(inChinese)
[3]FarzanehMSelectionofstationinsulatorswithrespecttoiceorsnow
9
(7)
(14)
80kPa
33.74kV/cm
-PartI
technicalcontextandenvironmentalexposure[J]
IEEE
TransactionsonPowerDelivery200520(1)264-270
110kV
B=422V/(cm⋅kPa)
[4]
[J]
200626(4)140-143
ZhangZhijin
JiangXingliang
MaJun
etal
Studyonicing
Φ=2r
performanceof110kVinsulatorstringsatACservicevoltage
[J]ProceedingsoftheCSEE200626(4)140-143(inChinese)
XZP/XZWP4-160
ξ
d
[5]
[J]
200424(6)
111-115
JiangXingliangWuLihuiSiamWenxiaetalStudyonflashover
mechanismofXZP/XZWP4-160insulatorundericingandlow
atmosphericpressureconditions[J]ProceedingsoftheCSEE2005
24(6)111-115(inChinese)
9
Fig.9Icicle/iced-plateelectrodesystem
σ=80µS/cm
[6]FarzanehMBakerTBernstorfAetalInsulatoricingtestmethods
andprocedures[J]
18(4)1503-1515
IEEETransactionsonPowerDelivery
2003
[7]VolatC
FarzanehM
3Dmodelingofpotentialandelectricfield
18
27
distributionsalonganice-coveredstationpostinsulatorPartIsimulations
ofameltingperiod[J]IEEETransactionsonPowerDelivery200520(7)
2006-2013
andMethodsinPhysicsResearchA199638(2)57-65
–
[13]
[J]
200632(5)1-3
[8]ChenX
FarzanehM
ZhangJ
Factorsinfluencingflashover
FengJieSimaWenxiaYuDefenetalThestudytoDCcorona
dischargetestandmeasurementinanicicletoiced-plateairgap
system[J]HighVoltageEngineering200632(5)1-3(inChinese)
characteristicsalongicesurface[C]The7thinternationalworkshopon
atmosphericIcingofstructuresChicoutimiCanada199677-81
[9]
[14]CernakMHosokawaTComplexformofcurrentpulsesinnegative
coronadischarges[J]Phys.Rev.A199143(6)
6duetoavoltage
impulse[J]IEEETrans.onplasmascience199119(2)86-94
[J]
1107-1109
200222(11)115-120
[15]MorrowR
TheoryofpositivecoronainSF
SunCaixinShuLichunJiangXingliangetalAC/DCflasho
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