Any transient effects will be in the 10's or
hundreds of milliseconds range, not microseconds and you can't have those effects without considerable inductance in the line.
One can get a a "resonant/positive feedback" effect if a controller reacts to resistance changes (temp rise from current flow) with a time lag that aproximates the conductors thermal time constant.
The above time constants sound about right for large conductors, especially if one pressumes a slightly faulty connection in the path.
Not knowing the details it is hard to say if this is likely but I do know of instances in other fields where thermal "tails" have caught designers by surprise.