You Do Need power plug adapter while traveling from Libya to Canary Islands.

Here is Why You Need An Adapter

The outlet and plug type used in Canary Islands are C, E and F and in Libya are C and L. This is how they look like.

Libya

In Libya, outlets of type C and L are in use.

Type C

Type L

Canary Islands

In Canary Islands, outlets of type C, E and F are in use.

Type C

Type E

Type F