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MV design guide - Schneider Electric

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Design rules<br />

Short-circuit currents<br />

Reminder concerning the calculation<br />

of three-phase short-circuit currents<br />

c Three-phase short-circuit<br />

Ssc = 1.1 • U • Isc • e=<br />

U 2<br />

Zsc<br />

1.1• U<br />

Isc = with Zsc = R 2 + X 2<br />

e • Zsc<br />

c Upstream network<br />

Z = U2<br />

Ssc<br />

R<br />

X<br />

={<br />

0.3 at 6 kV<br />

0.2 at 20 kV<br />

0.1 at 150 kV<br />

c Overhead lines<br />

R = ρ • L S<br />

c Synchronous generators<br />

X = 0.4 Ω/km<br />

X = 0.3 Ω/km<br />

ρ = 1.8.10 -6 Ω cm<br />

ρ = 2.8.10 -6 Ω cm<br />

ρ = 3.3.10 -6 Ω cm<br />

HV<br />

<strong>MV</strong>/LV<br />

copper<br />

aluminium<br />

almélec<br />

Z(Ω) = X(Ω) =<br />

U 2<br />

•<br />

Sr<br />

Xsc (%)<br />

100<br />

Xsc sub-transient transient permanent<br />

turbo 10 to 20 % 15 to 25 % 200 to 350 %<br />

exposed poles 15 to 25 % 25 to 35 % 70 to 120 %<br />

c Transformers<br />

(order of magnitude: for real values, refer to data given by manufacturer)<br />

E.g.: 20 kV/410 V; Sr = 630 kVA; Usc = 4 %<br />

63 kV/11 V; Sr = 10 <strong>MV</strong>A; Usc = 9 %<br />

Z (Ω) =<br />

U 2<br />

Sr<br />

Usc(%)<br />

•<br />

100<br />

Sr (kVA) 100 to 3150 5000 to 5000<br />

Usc (%) 4 to 7.5 8 to 12<br />

<strong>MV</strong>/LV HV/<strong>MV</strong><br />

c Cables<br />

X = 0.10 at 0.15 Ω/km<br />

three-phased or single-phased<br />

c Busbars<br />

X = 0.15 Ω/km<br />

<strong>Schneider</strong> <strong>Electric</strong><br />

Merlin Gerin <strong>MV</strong> <strong>design</strong> <strong>guide</strong><br />

15

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