My new to me Versys did something similar. There is a connector for the fan wiring on the left-hand side just behind the radiator. I applied 12V to mine and the fan worked, but I thought, poorly. My fan fuse was also blown.
I suspect that mine suffered the same fate as Mt. Vesuvius's. I bought a replacement fan from a Ninja 650R on the Electronic Bay, it was only twenty-odd dollars. it has four mounting points instead of my Versys's three, but a hacksaw fixed that in one minute. It is noticeably heavier than the versys fan, and maybe a smidge deeper, but there were no interference problems and the fan performance seems much stronger. $25 and 20 mins