Tantalus V
Federation mental health facility favored by nutbars everywhere. Both Zero and Rebecca Singer were sent to Tantalus V after going bonkers. Dr. Elizabeth Aldridge went to Tantalus V to visit Rebecca Singer in order to get a better idea of what she could expect from the USS Secondprize crew. Singer tried to kill her. (Previous Occupant [TRK]) Later, Singer, Zero, and Gruver escaped Tantalus V in order to capture Alexander Rydell and kill Beth Aldridge. All three escapees were recaptured and returned to the facility. (Star Traks 6 [TRK])
Starfleet Intelligence Agent Samantha Dallas was committed to Tantalus V for continually interfering in the affairs of the Crazy Condor Circus.  (Three Rings of the Condor [TF])  While there, she tried and failed to escape.  (Interlude of Insanity [TF]) She was finally released after almost 18 months due to the intercession of Admiral Earl Wyndham.  (Rook Pursues Pawn; Fish Consumes Prawn [TF])  
A version of Irma also spent several years at Tantalus V. (The Best Times We Never Had [VEX]) When Founder and Chairman of the Society for the Pursuit of Truth, Kolem Arigo, went insane after he failed to achieve his lifelong goal of exposing Section 31, he was shipped off to Tantalus V. ("The Truth Is Out There, Part Two" [BAN]).
Many years later, Travis Dillon was sent to Tantalus V. He spent two years there before recovering from his psychosis. Jaroch commented that people the Secondprize sent to Tantalus V seemed to return for revenge with an alarming frequency. (Please Hold for Oblivion [TRK])