They are drawing power from the lightning port (in the FAQ). But you're right - the prototype doesn't show a bulge for that to happen. Nor (as in my other comment) does there seem to be a pass-through port for you to dock or connect a lightning cable.

Regarding the 30FPS, I've seen demos of e-ink running at high refresh rates (don't know what FPS), but was told that the hit on the battery is too high. Hence why the Kindle rarely refreshes.