Precisely compute inrush current, charging time, and energy dissipation for capacitive loads under current-limited load switches.
When a capacitive load is connected to a power rail through a load switch, the sudden charging draws a large transient current known as inrush current. Uncontrolled inrush can cause voltage droop, trigger overcurrent protection, damage connectors, and degrade MOSFET reliability. Modern load switches integrate current limiting or soft-start circuitry to linearly ramp the output voltage, drastically reducing stress on the system.
IINRUSH = CLOAD × dV/dt → Under current limit: tCHARGE = (CLOAD × VIN) / ILIM
This calculator assumes an ideal current-limited load switch (e.g., TI TPS22810, onsemi FPF2xxx series) where the output current is clamped at ILIM until the output capacitor reaches VIN. The resulting voltage ramp is linear, minimizing peak current while ensuring predictable turn-on behavior.
From the fundamental capacitor equation: I = C × dV/dt. In constant-current charging, dV/dt = ILIM / CLOAD. The time needed to charge from 0 to VIN is t = (VIN × CLOAD) / ILIM. The energy dissipated during inrush is E = ½ × CLOAD × VIN2, which is independent of current limit—this energy is absorbed by the load switch's internal MOSFET, requiring safe operating area (SOA) analysis. Average power PAVG = E / tCHARGE = (ILIM × VIN) / 2, representing the average dissipation during switching.
A PCIe add-in card with 330µF bulk capacitance operating at 12V. Without limiting, inrush peaks exceed 60A causing host reset. Using a load switch with ILIM = 1.5A, the charging time t = (330µF × 12V)/1.5A = 2.64 ms, peak current limited to 1.5A, and dissipated energy = 0.5 × 330µF × 144 = 23.8 mJ. The selected switch (TPS2595) safely handles this within its SOA. The result: reliable hot-plug and minimized system disturbance.
| Parameter | Recommendation | Impact on Inrush |
|---|---|---|
| Current Limit Accuracy | ±10% or better | Ensures predictable charging time |
| Overcurrent Response | Constant-current (vs. foldback) | Linear voltage ramp, stable behavior |
| Thermal Shutdown | Automatic recovery | Prevents damage under fault |
| Soft-Start Capacitor | Optional external cap | Slower slew rate reduces IINRUSH further |
During constant-current charging, the MOSFET operates in the linear region, simultaneously conducting ILIM and dropping VDS from VIN to near 0. Instantaneous power dissipation peaks at VIN/2 × ILIM and is distributed over tCHARGE. For robust design, verify that the energy (½CV²) lies under the device's single-pulse SOA curve. Many modern load switches integrate SOA protection and thermal limiting, but external FET designs require manual verification using this calculator’s energy output.