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The mechanical effects of short-circuit currents in - Montefiore

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4. GUIDELINES FOR DESIGN AND<br />

UPRATING<br />

4.1. INTRODUCTION<br />

Design guidel<strong>in</strong>es for arrangements, <strong>mechanical</strong> loads<br />

and electrical clearances are provided <strong>in</strong> [Ref 1]<br />

together with detailed recommendation for rigid bus<br />

arrangements and for flexible bus (eq: stra<strong>in</strong>ed and<br />

slack connection), droppers and jumpers subjected to<br />

<strong>mechanical</strong> loads due to <strong>short</strong>-<strong>circuit</strong> <strong>currents</strong>. In<br />

addition, suggestions for design criteria <strong>of</strong> support<br />

structures can be found there. <strong>The</strong> object <strong>of</strong> this<br />

chapter is to amend [Ref 1] recommendations due to<br />

perceptions presented <strong>in</strong> chapters 2 and 3. Affected are<br />

the design <strong>of</strong> droppers and the design <strong>of</strong> support<br />

structures – ma<strong>in</strong>ly portals – where the implementation<br />

<strong>of</strong> ESL adds new elements. Additional <strong>in</strong>formation will<br />

be given for limitation <strong>of</strong> magnitude and duration <strong>of</strong><br />

<strong>short</strong>-<strong>circuit</strong> current and the treatment <strong>of</strong> foundations.<br />

Last but not least recommendations for load cases and<br />

safety factors are given (based on an <strong>in</strong>ternational<br />

<strong>in</strong>quiry) gave a wide range <strong>of</strong> possibilities, not always<br />

meet<strong>in</strong>g an economical solution.<br />

4.2. LIMITATION OF MAGNITUDE AND DURATION<br />

OF SHORT-CIRCUIT CURRENT<br />

As mentioned <strong>in</strong> [Ref 1] many parameters <strong>in</strong>fluence<br />

magnitude and duration <strong>of</strong> <strong>short</strong>-<strong>circuit</strong> current and<br />

subsequently <strong>mechanical</strong> stress <strong>of</strong> substation<br />

equipment.<br />

Limit<strong>in</strong>g the magnitude <strong>of</strong> <strong>short</strong>-<strong>circuit</strong> current may be<br />

achieved by <strong>in</strong>creas<strong>in</strong>g the equivalent impedance <strong>of</strong> the<br />

network. But for this modifications to the network<br />

design or operation are necessary which obviously are<br />

difficult to perform <strong>in</strong> exist<strong>in</strong>g networks. Nevertheless<br />

the use <strong>of</strong> D.C. l<strong>in</strong>ks, which separate networks for<br />

<strong>short</strong>-<strong>circuit</strong> or the choice <strong>of</strong> uprated voltage level are<br />

measures to decrease <strong>short</strong>-<strong>circuit</strong> current. Others<br />

methods, though expensive, are to <strong>in</strong>crease<br />

transformer reactance or to decrease l<strong>in</strong>e numbers<br />

(<strong>in</strong>crease <strong>of</strong> the cross section <strong>of</strong> conductors) which<br />

leads to a higher reactive energy consumption but as<br />

well to a less degree <strong>of</strong> network stability. Open<strong>in</strong>g <strong>of</strong> a<br />

r<strong>in</strong>g network could be an efficient alternative s<strong>in</strong>ce it<br />

allows electrical separation <strong>of</strong> some parts <strong>of</strong> the<br />

network. Frequently adopted for HV networks this<br />

method <strong>of</strong> action is also used for EHV <strong>in</strong>stallations<br />

even if it decreases network safety.<br />

Another factor which may <strong>in</strong>fluence the magnitude and<br />

duration <strong>of</strong> <strong>short</strong>-<strong>circuit</strong> current is the performance <strong>of</strong><br />

the protection system. As an example the <strong>mechanical</strong><br />

stress <strong>of</strong> a flexible busbar may be substantially<br />

<strong>in</strong>fluenced by a reduction <strong>of</strong> the clear<strong>in</strong>g time. As a<br />

matter <strong>of</strong> fact, diversity and complexity <strong>of</strong> exist<strong>in</strong>g<br />

69<br />

<strong>in</strong>stallations do not allow adoption <strong>of</strong> a general<br />

method. Each case must be studied separately <strong>in</strong><br />

collaboration with departments hav<strong>in</strong>g expertise <strong>in</strong> this<br />

doma<strong>in</strong>. A comprehensive analysis is required to check<br />

the operational coherence <strong>of</strong> the systems <strong>in</strong> order to<br />

secure a satisfactory supply quality. But, if measures to<br />

decrease <strong>mechanical</strong> <strong>effects</strong> are considered<br />

improvement <strong>of</strong> protection systems should be regarded<br />

as well.<br />

4.3. FLEXIBLE CONDUCTORS<br />

In [Ref 2] a simplified calculation method for flexible<br />

conductors is given. However it is limited and has been<br />

verified for the case <strong>of</strong> horizontal spans only. Whereas<br />

<strong>in</strong> long stra<strong>in</strong>ed spans the vertical extension is more or<br />

less uncommon its a rule <strong>in</strong> slack connections <strong>of</strong><br />

different devices. Nevertheless formulas <strong>of</strong> [Ref 2]<br />

may be used for both stra<strong>in</strong>ed and slack conductor<br />

spans up to the po<strong>in</strong>t where ∆h/l =1/4 (l length <strong>of</strong> the<br />

span; ∆h vertical extension). If ∆h/l ratio is greater than<br />

¼, the physical model <strong>of</strong> [Ref 2] cease to be valid and<br />

recommendations and formulas <strong>of</strong> chapter 3.3 have to<br />

be used.<br />

On the evidence <strong>of</strong> eq. 3.13 there, the sw<strong>in</strong>g out <strong>of</strong><br />

droppers doesn’t depend furthermore on the magnitude<br />

<strong>of</strong> <strong>short</strong>-<strong>circuit</strong> current. Only lc/K and K itself are<br />

parameters <strong>in</strong> this equation which po<strong>in</strong>ts out that<br />

dropper geometry and the length <strong>of</strong> cable are <strong>of</strong><br />

essential <strong>in</strong>fluence. <strong>The</strong> flexibility <strong>of</strong> fix<strong>in</strong>g po<strong>in</strong>ts, if<br />

they are def<strong>in</strong>itely fixed, has just as much <strong>in</strong>fluence. In<br />

the same way as a small change <strong>of</strong> the arc length <strong>in</strong> a<br />

horizontal span leads to respectable change <strong>of</strong> its sag, a<br />

slight flexibility <strong>of</strong> the upper fix<strong>in</strong>g po<strong>in</strong>t (e.g. at the<br />

end <strong>of</strong> a long span) leads to remarkable <strong>in</strong>crease <strong>of</strong> the<br />

sw<strong>in</strong>g out value calculated accord<strong>in</strong>g eq. 3.13 with<br />

correspond<strong>in</strong>g <strong>effects</strong> to clearance.<br />

Other design criteria for droppers are their length and<br />

their position <strong>in</strong> the span. As described <strong>in</strong> chapter 3.3<br />

the sw<strong>in</strong>g out <strong>of</strong> the span itself is <strong>in</strong>fluenced by this.<br />

Consequently the forces on the anchor po<strong>in</strong>ts <strong>of</strong> the<br />

span vary. Tests at EDF showed that a decrease <strong>of</strong> 30%<br />

<strong>of</strong> these forces is possible (see Figure 3.34, Figure<br />

3.35). A simplified calculation method is not yet<br />

available but advanced methods allow today safe<br />

prediction <strong>of</strong> these phenomena.<br />

Sav<strong>in</strong>gs <strong>in</strong> the same order were found <strong>in</strong> the same test<br />

series <strong>of</strong> EDF through the use <strong>of</strong> <strong>in</strong>terphase-spacer <strong>in</strong><br />

long stra<strong>in</strong>ed spans. This was not confirmed <strong>in</strong><br />

exam<strong>in</strong>ations described <strong>in</strong> chapter 3.7.2. Thus <strong>in</strong> these<br />

cases as well, advanced calculation is necessary to<br />

meet the <strong>effects</strong> <strong>of</strong> important parameters e.g. the spr<strong>in</strong>g<br />

constant <strong>of</strong> the system.<br />

<strong>The</strong> comb<strong>in</strong>ed effect <strong>of</strong> w<strong>in</strong>d pressure and <strong>short</strong>-<strong>circuit</strong><br />

on the dynamic load<strong>in</strong>g is very complex on flexible

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