The electricity transmission system is based on AC which cannot be stored, hence generation need to be very closely balanced with demand on an almost instantaneous basis. Too much generation and the frequency rises, too little and and the frequency falls (frequency is tightly controlled, 50Hz +/-1%).
With the sudden loss of grid control staff (i.e. someone to balance the system), the frequency will rapidly fall out of specification causing generating machines to automatically shutdown (the machines themselves are designed to operate within very specific frequency tolerances).
The synchronisation of multiple generation sets will rapidly be lost leading to cascade tripping, automatic load shedding and total system blackout.
I suggest a few minutes maybe ten/fifteen at most.