[k3smostwanted]

does it not have power at all after it dies??? if it doesnt have power at all after it dies, i am thinking alternator. i have no idea what the smoking would be besides a wire or soemthing frying, which is the obvious answer. is there oil or some fluid leaking on your exhaust manifold or something that gets really hot??? by the time you get out of your car and the engine is off, the manifold would be cooling down causing the smoke to stop....

this could also be leaking on your alternator causing it to fry itself.

just guessing. give a little bit more info.