The mechanical effects of short-circuit currents in - Montefiore
The mechanical effects of short-circuit currents in - Montefiore
The mechanical effects of short-circuit currents in - Montefiore
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moment when the distance between the conductors is<br />
m<strong>in</strong>imum at mid-span.<br />
<strong>The</strong> highest magnitude <strong>of</strong> the force dur<strong>in</strong>g the second<br />
<strong>short</strong>-<strong>circuit</strong> is obta<strong>in</strong>ed slightly after the moment when<br />
the distance between the conductors at mid-span<br />
exceeds the distance <strong>in</strong> normal position. <strong>The</strong> drop or<br />
tensile forces dur<strong>in</strong>g the <strong>short</strong>-<strong>circuit</strong> vary very slightly<br />
with the moment <strong>of</strong> reclosure. Figure 3.57 below<br />
<strong>in</strong>dicates, for the 68 m span, the drop force variation<br />
versus the reclos<strong>in</strong>g <strong>in</strong>terval (Ti) :<br />
Figure 3.57 Drop force (Newton) versus no supply time (ms).<br />
S.M.= Simplified Method<br />
ASTER= EDF s<strong>of</strong>tware<br />
TESTS=EDF tests<br />
Ff1= no reclosure<br />
Ff2=with reclosure<br />
<strong>The</strong> worst case occurs when the reclos<strong>in</strong>g <strong>in</strong>terval is <strong>in</strong><br />
the follow<strong>in</strong>g range :<br />
(3.23) Tk1 + Ti < 0,25 T°<br />
and<br />
(3.24) 0,75 T° < Tk1 + Ti < 1,25 T°<br />
where :<br />
(3.25)<br />
T<br />
0<br />
0,<br />
8.<br />
bc<br />
2π<br />
g<br />
=<br />
2<br />
π ⎛ δ M ⎞<br />
1−<br />
⎜ ⎟<br />
64 ⎝ 90 ⎠<br />
is the period <strong>of</strong> the free motion (without current) and δM<br />
is the maximum sw<strong>in</strong>g-out angle <strong>in</strong> degree.<br />
<strong>The</strong> maximum <strong>of</strong> Ff2 occurs when the reclos<strong>in</strong>g <strong>in</strong>terval<br />
is between 0,75 T° and T°, and the maximum <strong>of</strong> Ft2<br />
occurs when the reclos<strong>in</strong>g <strong>in</strong>terval is between T° and<br />
1,25 T°.<br />
f) Calculation approach<br />
Without bundle<br />
To calculate the maximum tensile force after an autorecloser,<br />
IEC 60865 standard can be used with a<br />
clearance time equal Tk = Tk1 + Tk2. If the <strong>in</strong>fluence <strong>of</strong><br />
reclos<strong>in</strong>g <strong>in</strong>terval has to be studied, a simplified method<br />
[Ref 100,] can be used <strong>in</strong> the more simple cases (Annex<br />
8.4 & 8.5).<br />
2<br />
62<br />
With bundle<br />
To date p<strong>in</strong>ch effect after auto-reclos<strong>in</strong>g cannot be<br />
studied by a simplified method. But after a fast<br />
reclosure, p<strong>in</strong>ch effect can have an <strong>in</strong>fluence if the p<strong>in</strong>ch<br />
effect <strong>in</strong> IEC 60865 conditions are not satisfied.<br />
3.7.2. Interphase-Spacer<br />
Short <strong>circuit</strong> power <strong>of</strong> AIS is a value which is subject to<br />
a permanent <strong>in</strong>crease. Unfortunately this leads to an<br />
<strong>in</strong>crease <strong>of</strong> <strong>mechanical</strong> <strong>effects</strong> too. Thus <strong>in</strong>vestigations<br />
have to be carried out to prove that <strong>short</strong>-<strong>circuit</strong><br />
withstand is sufficient. Usually this will be done with<br />
[Ref 2] which covers <strong>short</strong>-<strong>circuit</strong> <strong>effects</strong> <strong>of</strong> cable spans<br />
up to 60 m. Dur<strong>in</strong>g such calculation it was discovered<br />
that, <strong>in</strong> the case <strong>of</strong> span lengths with more than about<br />
35 m and <strong>short</strong>-<strong>circuit</strong> <strong>currents</strong> <strong>in</strong> excess <strong>of</strong> 20 kA, the<br />
usual clearances ma<strong>in</strong>ly <strong>in</strong> the 110kV-level are not<br />
sufficient. Given that <strong>in</strong> overhead-l<strong>in</strong>es <strong>in</strong>terphasespacers<br />
are <strong>in</strong> common use to avoid w<strong>in</strong>d <strong>in</strong>duced<br />
<strong>effects</strong>, it is obvious they can be used for AIS busbars<br />
too.<br />
<strong>The</strong> subject <strong>of</strong> the <strong>in</strong>vestigation was the 40 m span<br />
without droppers as described <strong>in</strong> case 4 <strong>in</strong> Vol 2 <strong>of</strong> this<br />
brochure. Test/calculation parameters may be taken<br />
from there. <strong>The</strong> l<strong>in</strong>e-to-l<strong>in</strong>e <strong>in</strong>itial symmetrical <strong>short</strong><strong>circuit</strong><br />
current was 28.5 kA and the duration <strong>of</strong> <strong>short</strong><strong>circuit</strong><br />
current was 103 ms. <strong>The</strong> period <strong>of</strong> <strong>in</strong>vestigation<br />
chosen was 2 to 3 s. No damp<strong>in</strong>g <strong>effects</strong> were taken <strong>in</strong>to<br />
account and the portals were considered by their spr<strong>in</strong>g<br />
constant.<br />
In a first step calculation was established without<br />
<strong>in</strong>terphase spacer. <strong>The</strong> results <strong>of</strong> the f<strong>in</strong>ite-element<br />
calculations are shown <strong>in</strong> Figs. 1 and 2. Fig. 1<br />
4. 40.<br />
Seilzugkraft<br />
<strong>in</strong> kN<br />
2. 20.<br />
20.7 kN<br />
0.<br />
.0 .5 1.0 1.5 2.0 2.5 3.0 3.5<br />
Zeit <strong>in</strong> s<br />
Figure 3.58 Conductor tensile force: comparison between test results<br />
and calculation results without <strong>in</strong>terphase-spacer<br />
(th<strong>in</strong> = test; thick = calculation)<br />
shows the movement at the mid-po<strong>in</strong>t <strong>of</strong> the conductor<br />
with a maximum deflection <strong>of</strong> 1.12 m which is <strong>in</strong> good<br />
accordance with test results and calculation <strong>of</strong> IEC<br />
60865-1 (1.27m). In Fig. 2, where the conductor tensile<br />
force is plotted aga<strong>in</strong>st time, the th<strong>in</strong> curve shows the<br />
test results and the thick curve the calculation results <strong>of</strong><br />
case 4. <strong>The</strong> comparison shows good agreement between<br />
the time characteristic and the amplitude, which gave<br />
22.0 kN