A RCD breaker - (Residual-current device) is the same as a GFCI (Ground-Fault circuit interrupter) in North America.
The voltage "lost" while the capacitors charge is not returning on the neutral - thereby producing an imbalance in the load.
The RCD breaker senses that more current is being supplied than is returning to the source and opens the circuit.
It has nothing to do with over-current limitation. This machine would trip a 5 amp RCD or a 500 amp RCD - no difference.
I am interested in the engineering work-around if one is available. I'm curious to study what device can alleviate this condition and to study the theory on how it operates.
Very cool discussion.
I hope you will continue to follow-up on this topic.