Conn. Gen. Stat. § 25-53: Abatement of nuisance.

Whenever any order is made by the Superior Court for the abatement of any nuisance to such water or ice, and said court finds that compliance with such order will damage any person or corporation or deprive him or it of any substantial right, said court may assess just damages in favor of such person or corporation, to be paid by such municipality, person or corporation as the court decrees.