All non-unique variants of T-45d power armor have identical properties and effects, and only differ in their appearance and use in certain quests. T-45d power armor can be repaired using components from the T-51b power armor, but the reverse is not possible.
Power armor can only be worn if the player character has gained the Power Armor Training perk, either by talking to Paladin Gunny in the Citadel, by starting the Take it Back! quest, or by completing the Anchorage Reclamation simulation.