Hook: Floor Large (Purple Square)The Power Conduit (Green) decoration fits into a large purple square floor hook.
How to Get a Power Conduit (Green) Decoration
Cartel Pack Decorations
The Power Conduit (Green) decoration can be dropped from Anarchist Alliance Packs, which were released on the Cartel Market and bought with Cartel Coins. Cartel Packs, including the Anarchist Alliance Pack, include a random selection of items from the Anarchist Alliance collection of items. You aren't guaranteed to get a Power Conduit (Green) decoration from a Anarchist Alliance Pack, but it is one of the few ways to get a Power Conduit (Green) deco apart from buying it on the GTN from another player.
If you're looking to get a Power Conduit (Green), the easiest way to get it is to head to the Galactic Trade Network (GTN) in SWTOR and buy it with credits from another player. If it's very rare and not available on the Cartel Market, you could try buying from the GTN and hope you get it.