Mine is simply a low-power, low-voltage LED strip-light, probably similar to JA’s, screwed to the underside of a shelf above the back of the machine, at just above my head height.
A thin batten screwed to the shelf edge, projects downwards to just below the lamp, as “lampshade” to avoid my looking straight at the lamp.
The power-supply is the supplied, simple plug-in mains unit, and it shares a 4-way extension board that also supplies the lathe motor and its controller.