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Shunt Capacitor Inrush Current Calculator engineering
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Shunt Capacitor Inrush Current Calculator

Substation power factor correction & reactive power: Calculate back-to-back capacitor bank switching peak inrush current (I_peak), inrush frequency, and damping reactors.

Substation & Capacitor Bank Ratings

Line-to-line operating voltage
Switched capacitor bank rating
Already connected adjacent bank
Busbar length (~1 µH / meter)
Installed air-core current-limiting reactor
Bus short-circuit capacity

Inrush Dynamics & Reactor Requirements

Peak Transient Inrush Current
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Inrush Transient Frequency (f_inrush)
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High-frequency inter-bank ringing
Rated 60Hz Current (I_nominal)
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Steady-state capacitive current
Inrush Multiplication Factor
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I_peak / I_nominal
Equivalent Capacitance C_eq
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Phase capacitance per star branch
Loop Inductance L_loop
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Bus stray + series reactor

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Frequently Asked Questions

Why is "back-to-back" capacitor bank switching so much more severe than isolated switching?

When an isolated capacitor bank is energized, the inrush current is throttled by the large inductance of the upstream substation transformer. However, during back-to-back switching, an already energized adjacent capacitor bank dumps its stored charge into the closing bank through only a few meters of low-impedance busbar, resulting in massive inrush currents (15–40 kA) at frequencies of several kilohertz.

How does an air-core series reactor mitigate capacitor inrush current?

An air-core inrush damping reactor adds explicit inductance (typically 50 to 300 µH) directly into the inter-bank loop. Because peak inrush scales inversely with the square root of inductance (I_peak ∝ 1/√L) and frequency drops as 1/√L, even a modest reactor reduces inrush stress by 70% to 80%.

What are the IEEE C37.06 circuit breaker switching limits?

For high-voltage SF₆ circuit breakers in capacitor switching duty, IEEE C37.06 specifies maximum peak inrush current (typically 20 kA peak for general purpose breakers) and a maximum product of peak current and inrush frequency (I_peak · f_inrush ≤ 80 × 10⁶ A/s) to prevent contact welding and pre-strike restrikes.