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The mechanical effects of short-circuit currents in - Montefiore

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Figure 8.2<br />

What is ESL <strong>in</strong> this case :<br />

Assume that F(t) is the tension <strong>in</strong> the cable<br />

connect<strong>in</strong>g the equipment to another one or to another<br />

flexible connection. F(t) could result from the<br />

follow<strong>in</strong>g <strong>effects</strong> 1) from p<strong>in</strong>ch effect (if the<br />

connection is a bundle), 2) from sw<strong>in</strong>g out or fall<strong>in</strong>g<br />

down loads (horizontal connection between two<br />

equipment), 3) from dropper stretch (if the equipment<br />

is connected to another level with flexible<br />

connection).<br />

In the case shown, effect <strong>of</strong> F(t) and bend<strong>in</strong>g moment<br />

at the bottom <strong>of</strong> the equipment is completely<br />

different, it means that the <strong>in</strong>ertial forces have clearly<br />

some action. <strong>The</strong> design value is the maximum<br />

bend<strong>in</strong>g moment at the bottom. We could have had<br />

the same M max by apply<strong>in</strong>g ESL <strong>in</strong>stead <strong>of</strong> F(t).at the<br />

top <strong>of</strong> the equipments.<br />

<strong>The</strong> situation could have been more complex if M max<br />

had not occurred at the bottom <strong>of</strong> the apparatus.<br />

How to apply the simplified method<br />

<strong>The</strong> problem is to def<strong>in</strong>e the cantilever strength<br />

needed for such equipment.<br />

Figure 8.3 Laborelec 150 kV test structure for two-phase fault (Belgium).<br />

We have extracted from CIGRE brochure N’105,<br />

second part, the case 5 tested <strong>in</strong> Belgium, for which<br />

we have access to both tension <strong>in</strong> the cable and<br />

114<br />

1) evaluate Ft, Ff and Fpi by IEC simplified method<br />

2) search first eigenfrequency <strong>of</strong> the equipment (if<br />

not known, use curve given <strong>in</strong> chapter 1),<br />

3) evaluate ESL us<strong>in</strong>g synthetic curve given <strong>in</strong><br />

chapter 3 (one curve for <strong>in</strong>terphase <strong>effects</strong>,<br />

another curve for p<strong>in</strong>ch effect), for example<br />

ESL1 = max(Ft-Fst, Ff-Fst) x ESL<br />

factor(<strong>in</strong>terphase effect) and ESL2 = (Fpi-Fst) x<br />

ESL factor (p<strong>in</strong>ch). <strong>The</strong>n consider max (ESL1,<br />

ESL2) = ESL<br />

4) In case <strong>of</strong> <strong>in</strong>itial static load<strong>in</strong>g (Fst), just add Fst to<br />

ESL and compare total value to cantilever<br />

strength <strong>of</strong> the equipment.<br />

Remark : If you have access to advanced calculation<br />

method, you simply evaluate the dynamic response<br />

and locate maximum dynamic bend<strong>in</strong>g moment <strong>in</strong> the<br />

support, that bend<strong>in</strong>g is converted <strong>in</strong> equivalent top<br />

static load, which is compared to the cantilever<br />

break<strong>in</strong>g load. No need <strong>of</strong> ESL theory <strong>in</strong> that case.<br />

b) On support structures<br />

bend<strong>in</strong>g moment at the bottom <strong>of</strong> the support<br />

structures.

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