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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Zug-/Druck-Kraft<br />
<strong>in</strong> kN<br />
Z eit <strong>in</strong> s<br />
Figure 3.64 Time characteristic <strong>of</strong> the<br />
tensile/compressive force <strong>in</strong> the<br />
<strong>in</strong>terphase-spacer<br />
<strong>The</strong> frequency <strong>of</strong> ca. 2 Hz is identical with the one <strong>in</strong><br />
Figure 3.63b. <strong>The</strong> values <strong>of</strong> amplitudes are proportional<br />
to the magnitude <strong>of</strong> the electromagnetic force act<strong>in</strong>g on<br />
the phase spacer. <strong>The</strong> substantially higher frequency<br />
harmonics <strong>of</strong> ca. 40 – 80 Hz arise due to the brac<strong>in</strong>g<br />
between conductor and phase spacer. Frequency and<br />
amplitude <strong>of</strong> the harmonics depend on the rigidity <strong>of</strong> the<br />
phase spacer / conductor clamp<strong>in</strong>g system. For the case<br />
<strong>in</strong> question, the use <strong>of</strong> conductor spirals would cause<br />
damp<strong>in</strong>g <strong>of</strong> the harmonic amplitudes. However, this<br />
effect cannot be said to be universal, i.e. <strong>in</strong> other<br />
arrangements it could just as well result <strong>in</strong> a ga<strong>in</strong>.<br />
<strong>The</strong>refore, the use <strong>of</strong> conductor spirals is not a sensible<br />
course <strong>of</strong> action without prior <strong>in</strong>vestigation.<br />
Despite the higher harmonic components, the<br />
''<br />
compressive forces always (even when I k 2 = 40 kA)<br />
rema<strong>in</strong>ed below the permitted Euler buckl<strong>in</strong>g force (16<br />
kN). <strong>The</strong>ir proportion <strong>of</strong> the total load<strong>in</strong>g on the round<br />
bar is low.<br />
As Figure 3.62d shows, the <strong>in</strong>terphase-spacer cambers<br />
vertically downwards when the span drops. <strong>The</strong><br />
potential energy that builds up dur<strong>in</strong>g the first 500 ms is<br />
converted to energy <strong>of</strong> deformation (bend<strong>in</strong>g) and<br />
br<strong>in</strong>gs about the first maximum <strong>of</strong> the reference stress at<br />
0.92 s (Fig. 7).<br />
150.<br />
100.<br />
Spannung <strong>in</strong><br />
N/mm²<br />
50.<br />
0.<br />
.0 .5 1.0 1.5 2.0 2.5 3 .0 3.5<br />
Z eit <strong>in</strong> s<br />
Figure 3.65 Time characteristic <strong>of</strong> the van Mises stress at the midpo<strong>in</strong>t<br />
<strong>of</strong> the <strong>in</strong>terphase-spacer<br />
<strong>The</strong> nature <strong>of</strong> the coupl<strong>in</strong>g between conductor and<br />
<strong>in</strong>terphase-spacer is irrelevant here. <strong>The</strong> results with<br />
free horizontal or horizontal and vertical rotational<br />
motion <strong>of</strong> the coupl<strong>in</strong>g were identical, which was to be<br />
expected <strong>in</strong> view <strong>of</strong> the low stiffness <strong>of</strong> the conductor.<br />
<strong>The</strong>refore, the use <strong>of</strong> horizontal or even articulated<br />
conductor clamps is unnecessary.<br />
65<br />
In practice, the <strong>in</strong>terphase-spacers are not fitted<br />
precisely perpendicular to the conductors. Calculations<br />
have been performed <strong>in</strong> which, for the sake <strong>of</strong> example,<br />
the <strong>in</strong>terphase-spacer has been shifted on one side by<br />
0.2 m along the axis <strong>of</strong> the conductor. However, the<br />
result<strong>in</strong>g horizontal bend<strong>in</strong>g moments only caused a<br />
slight <strong>in</strong>crease <strong>in</strong> the load<strong>in</strong>g on the <strong>in</strong>terphase-spacer.<br />
When the <strong>in</strong>terphase-spacer was fitted correctly, such<br />
shifts are considerably less than the calculated value so<br />
that the stress act<strong>in</strong>g <strong>in</strong> the horizontal plane is <strong>of</strong><br />
secondary importance.<br />
Thus, the major load on the <strong>in</strong>terphase-spacer results<br />
from the dropp<strong>in</strong>g motion.<br />
Summaris<strong>in</strong>g the <strong>in</strong>vestigation one can say that by<br />
fitt<strong>in</strong>g a <strong>in</strong>terphase-spacer at the mid-po<strong>in</strong>t <strong>of</strong> the<br />
conductor span it is possible to halve the conductor<br />
deflection. <strong>The</strong> static and dynamic conductor tensile<br />
forces are little affected <strong>in</strong> the process.<br />
<strong>The</strong> coupl<strong>in</strong>g between the <strong>in</strong>terphase-spacer and the<br />
conductor has no effect on the behavior <strong>of</strong> the stra<strong>in</strong>ed<br />
conductor or on the <strong>mechanical</strong> load exerted on the<br />
spacer. Coupl<strong>in</strong>gs with horizontal or articulated jo<strong>in</strong>ts<br />
are unnecessary.<br />
Similarly, the conductor spirals that are widely used <strong>in</strong><br />
the world <strong>of</strong> overhead-l<strong>in</strong>es are also unnecessary at the<br />
coupl<strong>in</strong>g po<strong>in</strong>ts. Depend<strong>in</strong>g on the rigidity <strong>of</strong> the overall<br />
structure, their use can either <strong>in</strong>crease or decrease the<br />
tensile/compressive load<strong>in</strong>g on the <strong>in</strong>terphase-spacer.<br />
<strong>The</strong> compressive load<strong>in</strong>g on the <strong>in</strong>terphase-spacer is <strong>of</strong><br />
the same order <strong>of</strong> magnitude as the electromagnetic<br />
' '<br />
force F ⋅ l ⋅( F as def<strong>in</strong>ed <strong>in</strong> equation 15, IEC 60865-1)<br />
and, <strong>in</strong> the case <strong>of</strong> the alternatives exam<strong>in</strong>ed, always<br />
rema<strong>in</strong>ed less than the maximum permitted value <strong>of</strong><br />
buckl<strong>in</strong>g load.<br />
<strong>The</strong> major load on the <strong>in</strong>terphase-spacer results from the<br />
bend<strong>in</strong>g moments caused by the dropp<strong>in</strong>g motion.<br />
<strong>The</strong> fitt<strong>in</strong>g <strong>of</strong> <strong>in</strong>terphase-spacers at the mid-po<strong>in</strong>t <strong>of</strong> the<br />
span enabled the <strong>short</strong>-<strong>circuit</strong> strength o to be <strong>in</strong>creased<br />
from 21 kA to over 46 kA (at F t = 38 kN).<br />
3.7.3. A new simplified method for spacer<br />
compression evaluation.<br />
As discussed already <strong>in</strong> [Ref 54] the well known<br />
Manuzio simple formula [Ref 53] neglect some<br />
important <strong>effects</strong>, ma<strong>in</strong>ly:<br />
• Tension changes <strong>in</strong> the subconductor dur<strong>in</strong>g contact<br />
period, so called p<strong>in</strong>ch effect. This effect can be<br />
quite large, as the p<strong>in</strong>ch can be several times the<br />
<strong>in</strong>itial tension (CIGRE brochure 105 [Ref 1]). For<br />
example, <strong>in</strong> our tests presented <strong>in</strong> this document,<br />
the p<strong>in</strong>ch is two times <strong>in</strong>itial value (third case),<br />
even higher <strong>in</strong> [Ref 54]. It is quite clear that the<br />
spacer compression, which is directly related to the<br />
p<strong>in</strong>ch (both p<strong>in</strong>ch and spacer compression are<br />
quasi-simultaneous) is also affected by the p<strong>in</strong>ch.<br />
• Asymmetry <strong>of</strong> the <strong>short</strong>-<strong>circuit</strong> current. With<br />
<strong>in</strong>creas<strong>in</strong>g <strong>short</strong>-<strong>circuit</strong> current, time to contact and<br />
to maximum p<strong>in</strong>ch and spacer compression<br />
becomes smaller and smaller (lower than 0.1 s <strong>in</strong>