jraef may have hit on something there "IF the elevator is hydraulic and has a Wye-Delta starter on the hydraulic power unit, the problem may be caused by transition switching transients."
This may be the cause of the current spike that may be causing the nuisance tripping. Again, there has been nothing said about the 2000a breakers, it's features, how it has been set, nor how it may be tripping.
As such, all our answers are pure speculation without more information from the poster.
