Im not 100% as I haven't doe this before but
for the effect like TNP
make a big normal/bump map expanding ring animation sprite
make a new effect layer using something like lens
and put the sprite on this layer pinned to your ship or whatever
activate the sprite animation wherever you need the warp effect
ive just tried it here took 5 min and it looks great.
Im sorry I cant post anywhere as I am at work all file share is locked down.
but yea with a few tweaks it will look like TNP
(edit to add) The normal/bump map doesnt have to be anything fancy can just be a white or black ring with very soft gradient faded edges.