RCD fitted in consumer units are generally 30mA. This means that a poxy 30mA (0.03 A) is all that is needed to trip the thing.
If you have lots of other electrical equipment especially electronic equipment (computers, video, Hi-Fi etc) these can leak current down the earth connection and when this increases above 30mA then things go pop. If everything else is switched of and just the inverter is powered up does this work?
Some RCD have very low tripping currents, 20-30mA, which can cause problems if a few things operate at the same time.
RCD’s have various tripping currents, eg 30mA, 50mA, 100mA, 300mA. The 30mA things are fitted to protect against electric shock, the higher value ones are to protect property.
RCD’s also have a Voltage/Current detection type, whether they detect AC, DC or both, most fitted will only detect AC leakage.
The Type ‘C’ refered to by Jon is the Circuit Breaker, most houses have Type ‘B’ fitted as these are more sensitive. Type ‘C’ allow a larger overload for a short duration and Type ‘D’ allow an even bigger on. If your interested there are some pretty graphs in the Wiring Regs that show the tripping characteristics.
A usual culprit for RCD’s tripping is damp in the load, especially if unused and stored in a damp location for some time.
Best thing for workshops is to supply them from a non RCD protected supply and fit RCD’s at sockets used for powertools etc.
Appologies for the length of the reply.
Phil.