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The mechanical effects of short-circuit currents in - Montefiore

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Section 3.4 deals with the <strong>effects</strong> <strong>of</strong> close and<br />

wide bundl<strong>in</strong>g. Typical oscillograms are shown<br />

and results <strong>of</strong> advanced calculations are given.<br />

Design loads suggested <strong>in</strong> IEC/EN 60865-1 take<br />

the maximum <strong>in</strong>stantaneous values <strong>of</strong> Ft, Ff, Fpi<br />

as static load for design purposes. <strong>The</strong> aim <strong>of</strong><br />

Section 3.5 is to def<strong>in</strong>e the limits <strong>in</strong> which such<br />

design recommendations are valid and <strong>in</strong> which<br />

some correct<strong>in</strong>g factors <strong>in</strong>clud<strong>in</strong>g dynamics <strong>of</strong><br />

structure must be taken <strong>in</strong>to account. Also new<br />

design loads are evaluated.<br />

In Section 3.5.4, special problems are discussed.<br />

Interphase spacers allow to reduce the horizontal<br />

movement <strong>of</strong> the spans. <strong>The</strong> extension <strong>of</strong><br />

IEC/EN 60865-1 on three-phase automatic<br />

reclos<strong>in</strong>g, spacer compression and jumpers are<br />

described and it shows how to handle spans with<br />

spr<strong>in</strong>gs.<br />

3.2. TYPICAL OSCILLOGRAMS AND<br />

CALCULATIONS<br />

3.2.1. Typical oscillograms <strong>of</strong> forces <strong>in</strong> the bus<br />

Below are typical oscillograms for the <strong>short</strong><strong>circuit</strong><br />

<strong>mechanical</strong> <strong>effects</strong> <strong>in</strong> the buses: forces <strong>in</strong><br />

the support<strong>in</strong>g structure <strong>of</strong> slack conductors and<br />

tensile forces <strong>in</strong> stra<strong>in</strong>ed conductors. A detailed<br />

description <strong>of</strong> the test structures and further<br />

<strong>in</strong>formations are given <strong>in</strong> Volume two <strong>of</strong> this<br />

brochure and Volume two <strong>of</strong> [Ref 1] 2 .<br />

Typical forces <strong>in</strong> droppers are reproduced <strong>in</strong><br />

Section 3.3.<br />

<strong>The</strong> first effect is caused by the <strong>short</strong>-<strong>circuit</strong><br />

forces between the phase conductors. In the<br />

upper oscillogram <strong>of</strong> Figure 3.1, the span <strong>of</strong> a<br />

slack conductor rotates several times and leads to<br />

nearly equal maxima dur<strong>in</strong>g sw<strong>in</strong>g out and when<br />

is passes its <strong>in</strong>itial static position.<br />

In the lower oscillogram <strong>of</strong> Figure 3.1 and Figure<br />

3.2 to Figure 3.4, ma<strong>in</strong>ly the two tensile force<br />

maxima caused by the movement <strong>of</strong> the span can<br />

be clearly po<strong>in</strong>ted out; the first one due to sw<strong>in</strong>g<br />

out and the second one due to fall<strong>in</strong>g down. <strong>The</strong><br />

basic frequency content <strong>of</strong> the time scale is the<br />

sw<strong>in</strong>g frequency <strong>of</strong> the busbars, with its sag<br />

accord<strong>in</strong>g to the equation <strong>in</strong> section 1.3.3 <strong>of</strong> [Ref<br />

1].<br />

2 In the follow<strong>in</strong>g, the numbers <strong>of</strong> test cases<br />

presented <strong>in</strong> Volume two <strong>of</strong> [Ref 1] are marked<br />

by *; test cases presented <strong>in</strong> Volume two <strong>of</strong> this<br />

brochure are not marked.<br />

37<br />

9<br />

kN<br />

3<br />

0<br />

-3<br />

9<br />

kN<br />

3<br />

0<br />

-3<br />

0<br />

tk 0,2 0,4 0,6 0,8 1,0 1,2 1,4 1,6 s 1,8<br />

Figure 3.1 S<strong>in</strong>gle slack conductor:equivalent dynamic force at<br />

the clamp represent<strong>in</strong>g the stress at the bottom <strong>of</strong> the<br />

<strong>in</strong>sulator (15-m-span); case 2, Figure 3.1 <strong>of</strong> the<br />

volume 2.<br />

Figure 3.2 S<strong>in</strong>gle stra<strong>in</strong>ed conductor (40-m-span); case *6,<br />

Figure 6.6<br />

Figure 3.3 S<strong>in</strong>gle stra<strong>in</strong> conductor (40-m-span); case *8,<br />

Figure 8.5<br />

Figure 3.4 S<strong>in</strong>gle stra<strong>in</strong> conductor (102-m-span); case *11,<br />

Figure 11.11<br />

<strong>The</strong> p<strong>in</strong>ch is another effect due to bundle collapse<br />

and the presence <strong>of</strong> spacers which impede<br />

conductors to come together near their location. In<br />

the subspan between two adjacent spacers, the subconductors<br />

can clash or can only reduce their<br />

distance. It depends on the ratio between the subspan<br />

length to sub-conductor distance ls/as and subconductor<br />

distance to sub-conductor diameter as/ds<br />

as discussed <strong>in</strong> section 4 <strong>of</strong> [Ref 1]. <strong>The</strong> parameter j<br />

accord<strong>in</strong>g to equation (*49) <strong>in</strong> [Ref 1, Ref 2, Ref 3]<br />

<strong>in</strong>dicates clash<strong>in</strong>g or not clash<strong>in</strong>g. Figure 3.5 to<br />

Figure 3.11 shows the tensile forces for different<br />

subspan characteristics<br />

(3.1)<br />

ls as<br />

π<br />

λ = s<strong>in</strong><br />

a d n<br />

s<br />

If there is a close bundl<strong>in</strong>g which means that the<br />

bundle has a large ratio ls/as, obta<strong>in</strong>ed by a very<br />

s

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