Current doesn't matter, unless it's to less, so the power supply gets overheated or the voltag drops (or both).

You can use a 20000mA power supply, if the Voltage fits. Somebody from eventide posted that the Factor pedals run best with stabilized (!!!) 12V and it needs less current (400mA) and not 500mA@9V.

I think this happens with the space supply, because it only happened, when powered up for a longer time. The Space Supply has 9V@500mA, with the voltage drop on the thin cable, and the Space with all lights lit, it may be to less. 

I'm ill at the moment, but I'll do some tests with the power supply and messure the current and voltage when it powers the space.