I've been fed up with the lighting in my shed even after I swapped out the florescent tubes for LED tubes. The shed is a fairly standard 8×16 garage with one window along the left wall (as you walk in). At the top of that wall are 2 90cm tubes and in the centre of the peak is another one.
The mill is at the bottom on the left and the lathe on the right. Neither get natural light.
Dull!
After looking at various options, I found some LED strips on ebay. I believe I'm no longer allowed to put links in, but the ones I found (16ft 2835 SMD strips) were from USA and cost around a tenner with 3 or 4 quid postage. I ended up buying two (well, who wouldn't?) for around 25 quid.
I cut down one strip as follows. in the centre at the end, I put up two strips (150 cm each) – they come with sticky backs which have stuck to the rafters really well. At the front, I put up one strip and drove all three from one of the many power supplies that decades of buying computers and other electronics has left lying around (there, SWMBO, I said they'd come in useful sometime!).
Wired up to the main light switch and the difference is truly remarkable.. It's close to being daylight bright. Brighter for most days in blighty, I would say!

The one in the middle is the LED tube one, nearest are the two strips at the far end is the single strip.. You can see the power supply (black, of course) on top of the rafter at the far end.
In case you're wondering, My workshop is not on a ship, in high seas. I'm just a rubbish photographer.!
I also have half a meter of the stuff left, which is being re-purposed into a mill light to be mounted under the head.
Strongly recommended – the whole let is cheaper than one new tube at a fraction of the brightness.
Iain