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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<strong>in</strong>to account <strong>in</strong> the calculation. One must consider that<br />
the value <strong>of</strong> tK = 0.1 s is <strong>of</strong> a rather theoretical nature.<br />
Force / kN<br />
Force / kN<br />
100mm<br />
200mm<br />
400mm<br />
110<br />
100<br />
Force / kN 60mm<br />
90<br />
80<br />
70<br />
60<br />
1 spacer 3 spacers<br />
55<br />
84,6<br />
55,2<br />
83,1 83<br />
54,7<br />
50<br />
40<br />
40 39,6 39,8<br />
30 26,3 26,3 26,4<br />
20<br />
10<br />
110<br />
100<br />
90<br />
80<br />
70<br />
20<br />
10<br />
0<br />
0<br />
0,1s 0,3s 0,5s<br />
<strong>short</strong>-<strong>circuit</strong> duration<br />
110<br />
100<br />
90<br />
80<br />
70<br />
60<br />
50<br />
40<br />
30<br />
20<br />
10<br />
0<br />
88<br />
117,2 117,6 116,7<br />
83,5<br />
58,8 58 58,1<br />
30,3 29,7<br />
29,6<br />
0,1s 0,3s 0,5s<br />
<strong>short</strong>-<strong>circuit</strong> duration<br />
1 spacer 3 spacers<br />
60<br />
55,9<br />
50<br />
40<br />
30<br />
42,9<br />
30,2 31,8<br />
27<br />
41 40<br />
3839,9<br />
4140,8<br />
41<br />
110<br />
100<br />
90<br />
80<br />
70<br />
40<br />
30<br />
20<br />
10<br />
0<br />
60mm<br />
100mm<br />
200mm<br />
400mm<br />
60<br />
56<br />
50<br />
47,2 46,8<br />
35<br />
0,1s 0,3s 0,5s<br />
<strong>short</strong>-<strong>circuit</strong> duration<br />
110<br />
100<br />
90<br />
80<br />
70<br />
60<br />
50<br />
40<br />
30<br />
20<br />
10<br />
0<br />
60mm<br />
100mm<br />
200mm<br />
400mm<br />
32 28 31<br />
27<br />
1 spacer 3 spacers<br />
56,9<br />
54 54<br />
79,1<br />
60,5 60<br />
56,3<br />
0,1s 0,3s 0,5s<br />
<strong>short</strong>-<strong>circuit</strong> duration<br />
78<br />
86,4<br />
41 40 42,8<br />
38 40,8<br />
40<br />
50,6<br />
0,1s 0,3s 0,5s<br />
<strong>short</strong>-<strong>circuit</strong> duration<br />
57,5<br />
50<br />
40<br />
40 34,8<br />
Figure 3.47 a, b, c Calculation results<br />
a) Contraction maxima Fpi<br />
b) Sw<strong>in</strong>g-out maxima Ft<br />
c) Fall-<strong>of</strong>-span maxima Ff<br />
110<br />
100<br />
90<br />
80<br />
70<br />
60<br />
30<br />
20<br />
10<br />
0<br />
79<br />
55 54,7<br />
71<br />
89<br />
60,6<br />
58<br />
0,1s 0,3s 0,5s<br />
<strong>short</strong>-<strong>circuit</strong> duration<br />
<strong>The</strong> contraction effect rises with the number <strong>of</strong> spacers<br />
and the sub-conductor distance to become the relevant<br />
<strong>short</strong>-<strong>circuit</strong> tension force at the suspension po<strong>in</strong>ts for<br />
three spacers at aT = 400 mm. <strong>The</strong> dependency <strong>of</strong> the<br />
second and third maxima on the number <strong>of</strong> spacers must<br />
be attributed to the reduction <strong>of</strong> sag (i.e. effective<br />
conductor length available for the contraction) by the<br />
contraction with <strong>in</strong>creas<strong>in</strong>g sub-conductor distance aT<br />
and number <strong>of</strong> spacers nAH dur<strong>in</strong>g the <strong>short</strong>-<strong>circuit</strong>. Also<br />
the existence <strong>of</strong> the droppers may lead to a reduction <strong>of</strong><br />
the k<strong>in</strong>etic possibilities <strong>of</strong> the span dur<strong>in</strong>g the sw<strong>in</strong>gout<br />
and the fall-<strong>of</strong>-span phases, <strong>in</strong> particular.<br />
In comparison to the above the same sequence is used<br />
for the reactions at the foot <strong>of</strong> the towers and at the<br />
transition to the foundation <strong>in</strong> Figure 3.48 a, b and c.<br />
<strong>The</strong> static relation between the excit<strong>in</strong>g tension force<br />
70<br />
62,9<br />
106,5<br />
56<br />
and the considered reaction force at the tower foot is<br />
1/6.2.<br />
Of course the respective values <strong>of</strong> Figure 3.49 for equal<br />
conditions must rema<strong>in</strong> <strong>in</strong>dependent <strong>of</strong> the <strong>short</strong>-<strong>circuit</strong><br />
duration. <strong>The</strong> number <strong>of</strong> spacers and the sub-conductor<br />
distance have severe effect on the reactions. <strong>The</strong> fall <strong>of</strong><br />
span is generally the more important aga<strong>in</strong>st sw<strong>in</strong>g-out.<br />
For up to 100 mm sub-conductor spac<strong>in</strong>g aT, the<br />
reaction to contraction is negligible aga<strong>in</strong>st all other<br />
maximum. Yet, if the calculation and, <strong>in</strong> particular, the<br />
chosen damp<strong>in</strong>g is right, the contraction plays the<br />
dom<strong>in</strong>ant role among the other maximums at aT = 200<br />
mm and above. With one spacer and aT = 200 mm, the<br />
ESL factor for contraction is slightly less than 1, while<br />
for 400 mm it is 1.2. For a larger number <strong>of</strong> spacers the<br />
factors are even higher.<br />
F<strong>in</strong>ally, the maximum spacer compression was<br />
considered. Figure 3.48 gives the results <strong>of</strong> that calculation.<br />
Spacer compression has lately come <strong>in</strong>to<br />
renewed <strong>in</strong>terest through [Ref 54].