I've had this also, except in my case it turned out to be the PAS pump (the pulley that sits between the fan belt and the aux belt) going all to wonk.
If the belt seems tight enough, it might be worth checking that the PAS pump isn't on it's way out, check to see if the pulley is wobbly. If it is, then it's a sign that it's probably going to fail at some point, and leave you with no alternator, and very heavy steering.