Can't remember which model my Ctec is but it came with 2 sets of cables, 1 with crocodile clips for direct to battery connection and 1 with a cigarette lighter plug.
Why not call Ctek and ask them for a solution.
As it happens I always use the cigarette lighter plug on Mog with no problems but I will use the crocodile clips to condition our Freelander's battery before we fire it up again.