TAS Season 1 Episode 16 The Time Trap

Plot

On stardate 5267.2, while exploring the Delta Triangle, where many starships have disappeared, the Federation starship Enterprise is attacked by several Klingon vessels. During the battle they are caught in an ion storm. The Enterprise and one Klingon battlecruiser are drawn into a spacetime vortex and end up in a timeless dimension in what could only be called a graveyard for space vessels. Captain Kirk and his crew are shocked to find "that the descendants of the crews of these various vessels are still alive" and have formed a government, calling themselves 'The Elysian Council.'
The crew discovers that the timewarp will gradually disintegrate the Enterprise's dilithium crystals. Their only means of escape is to link their ship with the Klingons' and their commander Kor[note 2] and try to power themselves out of the vortex.