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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3.5. LOAD ON PORTALS, APPARATUS TERMINALS<br />
AND EQUIVALENT STATIC LOAD<br />
3.5.1. Introduction<br />
<strong>The</strong>se loads may be summarized as follows:<br />
1) Ft, Ff typical low frequency, quasi-steady loads, see<br />
chapter 3.5.4 for ESL<br />
2) Fpi loads due to p<strong>in</strong>ch effect, typical impulse load.<br />
See chapter 3.5.3 For ESL<br />
3) Fds loads due to dropper stretch, typical impulse<br />
load. See chapter 3.5.2 for ESL<br />
Typical apparatus have a range <strong>of</strong> frequencies ma<strong>in</strong>ly<br />
dependent <strong>of</strong> voltage level, follow<strong>in</strong>g the table given <strong>in</strong><br />
[Table 1.1 <strong>in</strong> the <strong>in</strong>troduction]<br />
As a global overview, let’s keep <strong>in</strong> m<strong>in</strong>d that :<br />
- typical <strong>in</strong>sulator support may have very wide range<br />
<strong>of</strong> their first eigenfrequency and may cover all the<br />
range between 4 and 60 Hz. Lower voltage<br />
corresponds to higher frequency.<br />
- typical portal structure have very low<br />
eigenfrequencies, <strong>in</strong> the range 1 to 6 Hz. Voltage<br />
correlation is very low.<br />
- typical apparatus (isolator, <strong>circuit</strong> breaker,<br />
measur<strong>in</strong>g transformer, surge arrester) have very<br />
low eigenfrequencies due to their high mass located<br />
on the top <strong>of</strong> it. Range 1 to 6 Hz. <strong>The</strong> higher the<br />
voltage, the lower the frequency.<br />
Design load on these structures have to be deduced from<br />
<strong>in</strong>stantaneous top load applied by the cable connections<br />
(Ft, Ff, Fpi and Fds). <strong>The</strong> difference between these loads<br />
and design loads is given by ESL factor given <strong>in</strong> this<br />
chapter. ESL factor depends on the structural dynamics<br />
as expla<strong>in</strong>ed <strong>in</strong> appendix 1.<br />
Such ESL factor is only <strong>of</strong> <strong>in</strong>terest if us<strong>in</strong>g simplified<br />
method to evaluate Ft, Ff and Fpi for example to<br />
calculate the design load for a support<strong>in</strong>g structure at<br />
the lower end <strong>of</strong> a dropper or if the forces Ft, Ff and Fpi<br />
on the ma<strong>in</strong> conductors <strong>of</strong> a horizontal stra<strong>in</strong> bus<br />
connected to portals (case A <strong>in</strong> Figure 1.1) are estimated<br />
accord<strong>in</strong>g to IEC60 865. In contrast, IEC 60865 gives<br />
the ESL for the design <strong>of</strong> a slack bus connection (case C<br />
<strong>in</strong> Figure 1.1), see Annex 8.3.1 and Part I <strong>in</strong> volume 2.<br />
<strong>The</strong> design load can obviously be evaluated directly by<br />
advanced method. But such evaluation can be<br />
cumbersome, need s<strong>of</strong>tware, and give only accurate<br />
results if you are us<strong>in</strong>g accurate data's.<br />
In the suggested simplified method us<strong>in</strong>g ESL factor,<br />
some conservative approach has been taken <strong>in</strong> the<br />
synthetic curves given <strong>in</strong> this chapter.<br />
It is recommended not to add any safety factor over the<br />
calculated values.<br />
3.5.2. Maximum <strong>in</strong>stantaneous load and equivalent<br />
static load for dropper stretch<br />
<strong>The</strong> def<strong>in</strong>ition <strong>of</strong> ESL factor is expla<strong>in</strong>ed <strong>in</strong> annex 8.1.<br />
58<br />
<strong>The</strong>re are two different curves to be used for design and<br />
concern<strong>in</strong>g ESL factor.<br />
<strong>The</strong> first one <strong>in</strong> Figure 3.50 concerns the dropper stretch<br />
(<strong>in</strong> span dropper, s<strong>in</strong>gle conductor or close bundle), this<br />
is an envelop curve obta<strong>in</strong>ed from many tests results<br />
and simulations. <strong>The</strong> dropper stretch load shape is a<br />
typical triangular excitation, the duration <strong>of</strong> which is<br />
depend<strong>in</strong>g on its overlength compared to the distance<br />
between its two extremities. But because <strong>of</strong> its upper<br />
fixation to cable structure, the duration <strong>of</strong> the stretch,<br />
even if <strong>short</strong>, is generally <strong>in</strong> the range0.05 to 0.2 s.. It<br />
means that it is a quasi-static load (ESL factor = 1) for<br />
frequencies higher than about 50 Hz , but higher than<br />
one <strong>in</strong> the range 5-30 Hz and lower than one for lower<br />
frequencies. This is quantified on Figure 3.50.<br />
Figure 3.50 ESL factor for typical dropper stretch, envelop curve.<br />
Abscissa is the first eigenfrequency <strong>of</strong> apparatus or<br />
bush<strong>in</strong>g or <strong>in</strong>sulator support. <strong>The</strong> abscissa are not at all<br />
distributed l<strong>in</strong>early.<br />
You just need the maximum stretch force <strong>in</strong> the cable<br />
near the clamp (evaluated by advanced method or<br />
simplified method developed <strong>in</strong> this brochure; no<br />
simplified method for <strong>in</strong> span droppers is given <strong>in</strong> this<br />
brochure). <strong>The</strong>n follow<strong>in</strong>g the basic first frequency <strong>of</strong><br />
your apparatus, you deduce the design load by<br />
multiply<strong>in</strong>g the maximum stretch force by the<br />
coefficient obta<strong>in</strong>ed from the curve. <strong>The</strong> obta<strong>in</strong>ed load<br />
must be compared to cantilever break<strong>in</strong>g load <strong>of</strong><br />
correspond<strong>in</strong>g apparatus.<br />
3.5.3. Maximum <strong>in</strong>stantaneous load and equivalent<br />
static load for bundle p<strong>in</strong>ch.<br />
<strong>The</strong> second one <strong>in</strong> Figure 3.51 concerns bundle p<strong>in</strong>ch<br />
and is valid for all bundle configuration, this is an<br />
envelop curve <strong>of</strong> many tested cases.