Inrush current limiter for a high power rectifier
One of the most common solutions is to use a precharge resistor that is shorted out during normal operation. 

You are essentially running a boost converter to facilitate power factor correction. 

At 10kW you will be looking at using a SCR or an IGBT as the power device 







simulate this circuit &ndash; Schematic created using CircuitLab

You would monitor the voltage across your capacitor until it reaches a level that the inrush is manageable (say ... 200V) &amp; then gate your power device. Equally you would stop firing the power device if the voltage fell below say.. 185V.

The downside however is you have a PFC circuitry and that sort of relies on a very tight connection to the rectifier.  IF it turns out this typical circuit is not appropriate the 2nd method would rely on pre-charge in the AC lines using back to back SCR. Whether you would need this 2nd method is downto specifics of your implementation. I had to use AC-side precharge with a 250kVA active rectifier.