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P 505
Statistical Determination of Insulator Performance at Koeberg
Insulator Pollution Test Station
Presented by Dr WL Vosloo (Eskom)
Dr I Gutman (STRI)
Dr JP Holtzhausen (University of Stellenbosch)
Typical Performance Data at KIPTS
Note: E-1 and F are the reference insulators at KIPTS and was not chosen as the optimum solution for this area.
Electrical Performance with Natural Pollution
Natural Ageing Performance
Statistical Approach
S t r e s s f ( ) S t r e n g t h P ( )
R i s k f o r f l a s h o v e r
P o l l u t i o n s e v e r i t y ( )
Str
ess:
den
sity
of o
ccur
renc
e
Str
engt
h: p
roba
bilit
y fo
r fla
shov
er
)()( Pf
S t r e s s f ( ) S t r e n g t h P ( )
R i s k f o r f l a s h o v e r
P o l l u t i o n s e v e r i t y ( )
Str
ess:
den
sity
of o
ccur
renc
e
Str
engt
h: p
roba
bilit
y fo
r fla
shov
er
)()( Pf
1. Pollution stress at site: probability density function f()
2. Probability for flashover at maximum operating voltage: cumulative distribution function P()
3. Multiplication of f() and P() – the area under this curve defines the risk for flashover
Pollution stress at site:probability density function f()
2
1 fKU
I
where: = conductivity of the pollution layer in μS
I = peak leakage current in A U = peak phase voltage in kV
fK = insulator form factor
L
f sR
dsK
0 )(2 where: S = the distance measured along the profile of the insulator L = creepage path length R(s) = insulator radius at distance ‘s’
The site ESDD in mg/cm2 can be calculated from:
1SiteESDD
where: = 150 (empirically determined factor)
Measured on Insulator at KIPTS
I U
Probability for flashover at maximum operating voltage:
cumulative distribution function P()
2
1 fKU
I
where: = conductivity of the pollution layer in μS
I = peak leakage current in A U = peak phase voltage in kV
fK = insulator form factor
L
f sR
dsK
0 )(2 where: S = the distance measured along the profile of the insulator L = creepage path length R(s) = insulator radius at distance ‘s’
11
1
1%50
n
n
nn
n
f LKAU
where: A = 2.27 (empirically determined factor) n = 0.35 (empirically determined factor)
NCI totally Hydrophilic
Measured on Insulator at KIPTS
Calculated Number of Flashovers per Insulator per year
Determine What Insulation to Use
Predict In Service Insulation Performance
Transmission Line
Calculatedfaults per year
Actualfaults per year
A 0,6 1,0
B 1,0 0,5
C 0,2 0,5
• Further investigate the use of leakage current data measured on all insulators tested at KIPTS so as to determine there statistical performance curves
• Determine statistical performance curves for various standard insulators in the laboratory (ac and dc)
• Establish a methodology where both sets of data can be used so as to help Eskom select insulators for the power network
Future Work
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