Actually, to be picky; it is EPS (extrapyramidal side effects) as long as it resolves when you stop taking the medication, TD is permanent and comes on (same effects) after long use of the medications. You can learn the physiology of this response by reading up on it; and likely here at PC. Sometimes also called dystonic reactions. Some people have a reaction called "oculogyric crisis" which involves the eyes turning upward involuntarily.
It is painful, all of this, and I am glad the side effects resolved when you stopped those medications. Basically, the side effect involves your nervous system and causes tonic muscle response. There are medications used to treat this side effect for people who really need to use the antipsychotics (and, not everyone has these side effects), Cogentin is one (the generic name is slipping by...), Amantadine...some of the same meds used to treat the involuntary movements of Parkinson's disease, in fact, it is sometimes referred to as "Parkinsonian..." sorry, I should have refreshed my knowledge before posting...so that I could explain plainly, without rambling.