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The task should require: "run 3-phase fault on every line that is over 100 kV in the footprint of the Transmission Operator and determine if EACH generator will be stable or not."

In dynamic studies, anything is possible, as far as unexpected results is concerned. A fault away a generator X could be severe enough such nearby generation or load trips and the network reach a weaker state or even worse, a cascade condition could occur.

I recommend that at least once, run an exhaustive fault test over the whole network, and identify/rank each fault effects on the system response. Some faults causing minimal effects on the network could not be run the next time. Using parallel processing will help reduce study times.