Please, can u answer these ?
what spec did u add to converge the regenerator ?
Is the H2O makeup flow constant ?
I guess the problem is due to the Recycle operation, in order to converge it will need equal streams on both of its sides (estimated and calculated). And since u should obviously have amine losses somewhere in the plant (and no amine make up), the amine concentration on the both sides of the recycle operation won't much for amine concentration. It will consequently solve that problem by decreasing the initial amine concentration so that it will be equal to the calculated one.
What I would recommend you to do, is to set the recycle information transfer into "backward" (recycle/parameter/ transfer for flow and concentration to backward) and add an amine make up stream to the mixer. It should then converge without any problem.
This is a mere opinion, I hope expereinced users bring more insight on the issue !