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Medium Voltage Application Guide

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SWITCHGEAR<br />

Step 3: Calculate the equivalent capacitance of banks which are switched in (C eq )<br />

C eq = C 2 +C 3 +C 4<br />

= 55+55+55<br />

165 µF<br />

The equivalent capacitance is 165 µF.<br />

Step 4: Calculate the equivalent inductance of banks which are switched in (L eq )<br />

1<br />

L eq =<br />

1 + 1 +<br />

L 1<br />

2<br />

L 3<br />

L 4<br />

=<br />

1<br />

1 + 1 + 1<br />

40 40 40<br />

= 40<br />

3<br />

=13.3 µH<br />

The equivalent inductance is 13.3 µH.<br />

Step 5: Calculate the peak inrush current, I p<br />

I p<br />

= U×<br />

2 C<br />

× 1 × C eq 1<br />

×<br />

3 C 1 + C eq L 1 + L eq<br />

= 6300 ×<br />

2 55 × 165 1<br />

× ×<br />

3 55 + 165 40 + 13.3<br />

= 6300 ×<br />

2 9075 1<br />

× ×<br />

3 220 53.3<br />

= 6300 ×<br />

1<br />

0.67 × 41.25 ×<br />

53.3<br />

= 6300 × 0.67 × 41.25 × 0.019<br />

= 6300 × 0.52<br />

= 4543 A<br />

The peak inrush current is 4543 A.<br />

To be suitable, the peak inrush current (I p ) must be less than 100 times the capacitor's nominal<br />

current: I p 100 x I nom<br />

Q<br />

Inom<br />

=<br />

3×<br />

U<br />

689<br />

=<br />

3×<br />

6.3<br />

689<br />

=<br />

10.91<br />

= 63.15 A<br />

In this example, 4543 100 x 63.15 A<br />

This installation is acceptable.<br />

NOTE<br />

When selecting line fuses for upstream protection, the fuse pre-melt figure must be greater than the<br />

capacitor bank's peak inrush current.<br />

If using a circuit breaker for upstream protection, the circuit breaker's making capacity at rated voltage<br />

must be at least equal to the capacitor bank's peak inrush current.<br />

Page 142 <strong>Medium</strong> <strong>Voltage</strong> <strong>Application</strong> <strong>Guide</strong> 710-12280-00A

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