AEMB said:
The CT ratio is 300/5 so you would expect them not to saturate.
The ratio is not the only factor in determining whether or not the CTs would saturate. The type of CT and the amount of burden are important factors. If they are C800 and the burden is a fraction of an ohm it is most likely they didn't saturate; if they are C50 with a 10 ohm burden they probably did saturate. IEC designations would differ, but provide similar results.
I don't believe that you've ever said what current your ground fault element is set for. If set too low, the 0.5 sec time may not be any where near long enough.
The loading of the transformer is also a critical factor here. If you are energizing unloaded transformers, secondary breaker is open, the inrush will take much longer to decay than if you are energizing transformers which have full load connected. The more resistance on the secondary of the transformer, the faster the inrush will decay.
So, unloaded transformers, with a low set ground (earth) element set at 0.5 seconds, could very well still be producing enough inrush to trip at that time, even if the CTs are not saturated.
I've no idea what your installation looks like, but if you have numeric relays, you should be able to get the oscillography for the event and see what happened.